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      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.component_restrictedMatrixCoefficientKernel_eq_normalPart"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_normalPart_transport"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_iff_exists_faithful_representation"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_classification_eq"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_kernel_mem_geometricSpectrum"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.maximal_isLinkedSet_normalPart_iff"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartSemilinearFiniteHomeomorph"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumHomeomorph"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "NormedSpace.GeometricSpectrum"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "NormedSpace.PrimitiveGeometricSpectrum"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "NormedSpace.geometricSpectrumToPrimitive"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "NormedSpace.geometricStructureClosure"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "NormedSpace.geometricStructureHomeomorphOfBirkhoffJames"
    ],
    [
      "ClosureSpace.IsLinkedSet",
      "MathlibAnnex.Analysis.CStarAlgebra.maximal_isLinkedSet_normalPart_iff"
    ],
    [
      "ClosureSpace.Linked",
      "ClosureSpace.HasContinuousFiniteConjugation"
    ],
    [
      "ClosureSpace.Linked",
      "ClosureSpace.IsLinkedSet"
    ],
    [
      "ClosureSpace.Linked",
      "ClosureSpace.component"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.component_restrictedMatrixCoefficientKernel_eq_normalPart"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_normalPart_transport"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_iff_exists_faithful_representation"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_classification_eq"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_kernel_mem_geometricSpectrum"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.maximal_isLinkedSet_normalPart_iff"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumHomeomorph"
    ],
    [
      "ClosureSpace.Linked",
      "NormedSpace.GeometricSpectrum"
    ],
    [
      "ClosureSpace.Linked",
      "NormedSpace.PrimitiveGeometricSpectrum"
    ],
    [
      "ClosureSpace.Linked",
      "NormedSpace.geometricSpectrumToPrimitive"
    ],
    [
      "ClosureSpace.component",
      "ClosureSpace.HasContinuousFiniteConjugation"
    ],
    [
      "ClosureSpace.component",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family"
    ],
    [
      "ClosureSpace.component",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph"
    ],
    [
      "ClosureSpace.component",
      "MathlibAnnex.Analysis.CStarAlgebra.component_restrictedMatrixCoefficientKernel_eq_normalPart"
    ],
    [
      "ClosureSpace.component",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "ClosureSpace.component",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_normalPart_transport"
    ],
    [
      "ClosureSpace.component",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_iff_exists_faithful_representation"
    ],
    [
      "ClosureSpace.component",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "ClosureSpace.component",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_kernel_mem_geometricSpectrum"
    ],
    [
      "ClosureSpace.component",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "ClosureSpace.component",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "ClosureSpace.component",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "ClosureSpace.component",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "ClosureSpace.component",
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val"
    ],
    [
      "ClosureSpace.component",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph"
    ],
    [
      "ClosureSpace.component",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure"
    ],
    [
      "ClosureSpace.component",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "ClosureSpace.component",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "ClosureSpace.component",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "ClosureSpace.component",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "ClosureSpace.component",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily"
    ],
    [
      "ClosureSpace.component",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumHomeomorph"
    ],
    [
      "ClosureSpace.component",
      "NormedSpace.GeometricSpectrum"
    ],
    [
      "ClosureSpace.component",
      "NormedSpace.PrimitiveGeometricSpectrum"
    ],
    [
      "ClosureSpace.component",
      "NormedSpace.geometricSpectrumToPrimitive"
    ],
    [
      "LinearEquiv.regularity_of_isClosed_image_hyperplane",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "LinearEquiv.regularity_of_isClosed_image_hyperplane",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_classification_eq"
    ],
    [
      "LinearEquiv.regularity_of_isClosed_image_hyperplane",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "LinearEquiv.regularity_of_isClosed_image_hyperplane",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "LinearEquiv.regularity_of_isClosed_image_hyperplane",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "LinearEquiv.regularity_of_isClosed_image_hyperplane",
      "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous"
    ],
    [
      "LinearEquiv.regularity_of_isClosed_image_hyperplane",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "LinearEquiv.regularity_of_isClosed_image_hyperplane",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "LinearEquiv.regularity_of_isClosed_image_hyperplane",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "LinearEquiv.regularity_of_isClosed_image_hyperplane",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "LinearEquiv.regularity_of_isClosed_image_hyperplane",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous"
    ],
    [
      "LinearEquiv.regularity_of_isClosed_image_hyperplane",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.C0DirectSum",
      "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.c0SumEquivOfDense"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.C0DirectSum",
      "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.compactC0SumEquivOfDense"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.C0DirectSum",
      "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.C0DirectSum",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.compactC0Decomposition"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.C0DirectSum",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.C0DirectSum",
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.C0DirectSum",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.C0DirectSum",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.C0DirectSum",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.c0SumEquivOfDense",
      "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.compactC0SumEquivOfDense"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.c0SumEquivOfDense",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.compactC0Decomposition"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.c0SumEquivOfDense",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.c0SumEquivOfDense",
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.c0SumEquivOfDense",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.c0SumEquivOfDense",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.c0SumEquivOfDense",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.compactC0SumEquivOfDense",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.compactC0Decomposition"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.compactC0SumEquivOfDense",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.compactC0SumEquivOfDense",
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.compactC0SumEquivOfDense",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.compactC0SumEquivOfDense",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.compactC0SumEquivOfDense",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum",
      "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.compactC0SumEquivOfDense"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.compactC0Decomposition"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum",
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IrreducibleSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IrreducibleSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_iff_exists_faithful_representation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IrreducibleSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IrreducibleSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IrreducibleSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IrreducibleSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IrreducibleSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IrreducibleSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IrreducibleSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IrreducibleSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IrreducibleSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IrreducibleSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IrreducibleSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
      "MathlibAnnex.Analysis.CStarAlgebra.MinimalClosedStarIdeal.CompactModelSpace"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.compactC0Decomposition"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.MinimalClosedStarIdeal.CompactModelSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.compactC0Decomposition"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.MinimalClosedStarIdeal.CompactModelSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.MinimalClosedStarIdeal.CompactModelSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.MinimalClosedStarIdeal.CompactModelSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.MinimalClosedStarIdeal.CompactModelSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.MinimalClosedStarIdeal.CompactModelSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.compactC0Decomposition",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.compactC0Decomposition",
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.compactC0Decomposition",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.compactC0Decomposition",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.compactC0Decomposition",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family",
      "MathlibAnnex.Analysis.CStarAlgebra.component_restrictedMatrixCoefficientKernel_eq_normalPart"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_normalPart_transport"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_iff_exists_faithful_representation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family",
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_normalPart_transport"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_iff_exists_faithful_representation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_iff_exists_faithful_representation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_iff_exists_faithful_representation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.component_restrictedMatrixCoefficientKernel_eq_normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.component_restrictedMatrixCoefficientKernel_eq_normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_normalPart_transport"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.component_restrictedMatrixCoefficientKernel_eq_normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_classification_eq"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_classification_eq"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_normalPart_transport",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_normalPart_transport",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.component_restrictedMatrixCoefficientKernel_eq_normalPart"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_normalPart_transport"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_iff_exists_faithful_representation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_classification_eq"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_kernel_mem_geometricSpectrum"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_setOf_exists_pureState_unitaryTranslate"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.maximal_isLinkedSet_normalPart_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectivizationEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartSemilinearFiniteHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_classification_eq"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_iff_exists_faithful_representation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.component_restrictedMatrixCoefficientKernel_eq_normalPart"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_normalPart_transport"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_iff_exists_faithful_representation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_classification_eq"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_kernel_mem_geometricSpectrum"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_setOf_exists_pureState_unitaryTranslate"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.maximal_isLinkedSet_normalPart_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectivizationEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartSemilinearFiniteHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_iff_exists_faithful_representation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.component_restrictedMatrixCoefficientKernel_eq_normalPart"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_normalPart_transport"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_iff_exists_faithful_representation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_classification_eq"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_kernel_mem_geometricSpectrum"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_setOf_exists_pureState_unitaryTranslate"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.maximal_isLinkedSet_normalPart_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectivizationEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartSemilinearFiniteHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_classification_eq"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq",
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq",
      "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq",
      "MathlibAnnex.Analysis.CStarAlgebra.maximal_isLinkedSet_normalPart_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.component_restrictedMatrixCoefficientKernel_eq_normalPart"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_normalPart_transport"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_iff_exists_faithful_representation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_classification_eq"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.maximal_isLinkedSet_normalPart_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectivizationEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartSemilinearFiniteHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectivizationEquiv",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectivizationEquiv",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_classification_eq"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectivizationEquiv",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectivizationEquiv",
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectivizationEquiv",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectivizationEquiv",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectivizationEquiv",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectivizationEquiv",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectivizationEquiv",
      "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectivizationEquiv",
      "MathlibAnnex.Analysis.CStarAlgebra.maximal_isLinkedSet_normalPart_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectivizationEquiv",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectivizationEquiv",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectivizationEquiv",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectivizationEquiv",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectivizationEquiv",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectivizationEquiv",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectivizationEquiv",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartSemilinearFiniteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartSemilinearFiniteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartSemilinearFiniteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_classification_eq"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_classification_eq"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_classification_eq"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_iff_exists_faithful_representation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "NormedSpace.GeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph"
    ],
    [
      "NormedSpace.GeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "NormedSpace.GeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_normalPart_transport"
    ],
    [
      "NormedSpace.GeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_iff_exists_faithful_representation"
    ],
    [
      "NormedSpace.GeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "NormedSpace.GeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_kernel_mem_geometricSpectrum"
    ],
    [
      "NormedSpace.GeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "NormedSpace.GeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "NormedSpace.GeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "NormedSpace.GeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "NormedSpace.GeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val"
    ],
    [
      "NormedSpace.GeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph"
    ],
    [
      "NormedSpace.GeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure"
    ],
    [
      "NormedSpace.GeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "NormedSpace.GeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "NormedSpace.GeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "NormedSpace.GeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "NormedSpace.GeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily"
    ],
    [
      "NormedSpace.GeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumHomeomorph"
    ],
    [
      "NormedSpace.GeometricSpectrum",
      "NormedSpace.geometricSpectrumToPrimitive"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "ClosureSpace.HasCompactOperatorHomeomorph"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "ClosureSpace.HasContinuousFiniteCompactComparison"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "ClosureSpace.HasFiniteDimensionalCompactHomeomorph"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.component_restrictedMatrixCoefficientKernel_eq_normalPart"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_normalPart_transport"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_iff_exists_faithful_representation"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_classification_eq"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_kernel_mem_geometricSpectrum"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.maximal_isLinkedSet_normalPart_iff"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectivizationEquiv"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartSemilinearFiniteHomeomorph"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumHomeomorph"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "NormedSpace.GeometricSpectrum"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "NormedSpace.geometricSpectrumToPrimitive"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "NormedSpace.geometricStructureClosure"
    ],
    [
      "NormedSpace.GeometricStructureSpace",
      "NormedSpace.geometricStructureHomeomorphOfBirkhoffJames"
    ],
    [
      "NormedSpace.PrimitiveGeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "NormedSpace.PrimitiveGeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_iff_exists_faithful_representation"
    ],
    [
      "NormedSpace.PrimitiveGeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "NormedSpace.PrimitiveGeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "NormedSpace.PrimitiveGeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "NormedSpace.PrimitiveGeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "NormedSpace.PrimitiveGeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "NormedSpace.PrimitiveGeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val"
    ],
    [
      "NormedSpace.PrimitiveGeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph"
    ],
    [
      "NormedSpace.PrimitiveGeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure"
    ],
    [
      "NormedSpace.PrimitiveGeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "NormedSpace.PrimitiveGeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "NormedSpace.PrimitiveGeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "NormedSpace.PrimitiveGeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "NormedSpace.PrimitiveGeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily"
    ],
    [
      "NormedSpace.PrimitiveGeometricSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumHomeomorph"
    ],
    [
      "NormedSpace.PrimitiveGeometricSpectrum",
      "NormedSpace.geometricSpectrumToPrimitive"
    ],
    [
      "NormedSpace.geometricSpectrumToPrimitive",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "NormedSpace.geometricSpectrumToPrimitive",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_iff_exists_faithful_representation"
    ],
    [
      "NormedSpace.geometricSpectrumToPrimitive",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "NormedSpace.geometricSpectrumToPrimitive",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "NormedSpace.geometricSpectrumToPrimitive",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "NormedSpace.geometricSpectrumToPrimitive",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "NormedSpace.geometricSpectrumToPrimitive",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "NormedSpace.geometricSpectrumToPrimitive",
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val"
    ],
    [
      "NormedSpace.geometricSpectrumToPrimitive",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph"
    ],
    [
      "NormedSpace.geometricSpectrumToPrimitive",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure"
    ],
    [
      "NormedSpace.geometricSpectrumToPrimitive",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "NormedSpace.geometricSpectrumToPrimitive",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "NormedSpace.geometricSpectrumToPrimitive",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "NormedSpace.geometricSpectrumToPrimitive",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "NormedSpace.geometricSpectrumToPrimitive",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily"
    ],
    [
      "NormedSpace.geometricSpectrumToPrimitive",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumHomeomorph"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "ClosureSpace.HasCompactOperatorHomeomorph"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "ClosureSpace.HasContinuousFiniteCompactComparison"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "ClosureSpace.HasFiniteDimensionalCompactHomeomorph"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.component_restrictedMatrixCoefficientKernel_eq_normalPart"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_normalPart_transport"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_iff_exists_faithful_representation"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_classification_eq"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_kernel_mem_geometricSpectrum"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.maximal_isLinkedSet_normalPart_iff"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartSemilinearFiniteHomeomorph"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumHomeomorph"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "NormedSpace.GeometricSpectrum"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "NormedSpace.geometricSpectrumToPrimitive"
    ],
    [
      "NormedSpace.geometricStructureClosure",
      "NormedSpace.geometricStructureHomeomorphOfBirkhoffJames"
    ],
    [
      "NormedSpace.geometricStructureHomeomorphOfBirkhoffJames",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "NormedSpace.geometricStructureHomeomorphOfBirkhoffJames",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_classification_eq"
    ],
    [
      "NormedSpace.geometricStructureHomeomorphOfBirkhoffJames",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "NormedSpace.geometricStructureHomeomorphOfBirkhoffJames",
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph"
    ],
    [
      "NormedSpace.geometricStructureHomeomorphOfBirkhoffJames",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "NormedSpace.geometricStructureHomeomorphOfBirkhoffJames",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "NormedSpace.geometricStructureHomeomorphOfBirkhoffJames",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "NormedSpace.geometricStructureHomeomorphOfBirkhoffJames",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "NormedSpace.geometricStructureHomeomorphOfBirkhoffJames",
      "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous"
    ],
    [
      "NormedSpace.geometricStructureHomeomorphOfBirkhoffJames",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "NormedSpace.geometricStructureHomeomorphOfBirkhoffJames",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "NormedSpace.geometricStructureHomeomorphOfBirkhoffJames",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "NormedSpace.geometricStructureHomeomorphOfBirkhoffJames",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "NormedSpace.geometricStructureHomeomorphOfBirkhoffJames",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous"
    ],
    [
      "NormedSpace.geometricStructureHomeomorphOfBirkhoffJames",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation"
    ],
    [
      "NormedSpace.geometricStructureHomeomorphOfBirkhoffJames",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "ClosureSpace.HasCompactOperatorHomeomorph"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "ClosureSpace.HasContinuousFiniteCompactComparison"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "ClosureSpace.HasFiniteDimensionalCompactHomeomorph"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.component_restrictedMatrixCoefficientKernel_eq_normalPart"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_normalPart_transport"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_iff_exists_faithful_representation"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_classification_eq"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_kernel_mem_geometricSpectrum"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_setOf_exists_pureState_unitaryTranslate"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.maximal_isLinkedSet_normalPart_iff"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectivizationEquiv"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartSemilinearFiniteHomeomorph"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumHomeomorph"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "NormedSpace.GeometricSpectrum"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "NormedSpace.GeometricStructureSpace"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "NormedSpace.PrimitiveGeometricSpectrum"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "NormedSpace.geometricSpectrumToPrimitive"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "NormedSpace.geometricStructureClosure"
    ],
    [
      "NormedSpace.supportKernelUnion",
      "NormedSpace.geometricStructureHomeomorphOfBirkhoffJames"
    ],
    [
      "Projectivization.exists_semilinearEquiv_of_finite_span",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "Projectivization.exists_semilinearEquiv_of_finite_span",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_classification_eq"
    ],
    [
      "Projectivization.exists_semilinearEquiv_of_finite_span",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "Projectivization.exists_semilinearEquiv_of_finite_span",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "Projectivization.exists_semilinearEquiv_of_finite_span",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "Projectivization.exists_semilinearEquiv_of_finite_span",
      "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous"
    ],
    [
      "Projectivization.exists_semilinearEquiv_of_finite_span",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "Projectivization.exists_semilinearEquiv_of_finite_span",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "Projectivization.exists_semilinearEquiv_of_finite_span",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "Projectivization.exists_semilinearEquiv_of_finite_span",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "Projectivization.exists_semilinearEquiv_of_finite_span",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous"
    ],
    [
      "Projectivization.exists_semilinearEquiv_of_finite_span",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation"
    ],
    [
      "Projectivization.exists_semilinearEquiv_of_finite_span",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types"
    ]
  ],
  "edges": [
    [
      "ClosureSpace",
      "ClosureSpace.FiniteHomeomorph"
    ],
    [
      "ClosureSpace",
      "ClosureSpace.HullKernel.space"
    ],
    [
      "ClosureSpace",
      "ClosureSpace.Linked"
    ],
    [
      "ClosureSpace.FiniteHomeomorph",
      "ClosureSpace.HasContinuousFiniteCompactComparison"
    ],
    [
      "ClosureSpace.FiniteHomeomorph",
      "ClosureSpace.HasContinuousFiniteConjugation"
    ],
    [
      "ClosureSpace.FiniteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_normalPart_transport"
    ],
    [
      "ClosureSpace.FiniteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph"
    ],
    [
      "ClosureSpace.FiniteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure"
    ],
    [
      "ClosureSpace.FiniteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartSemilinearFiniteHomeomorph"
    ],
    [
      "ClosureSpace.FiniteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation"
    ],
    [
      "ClosureSpace.HasCompactOperatorHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "ClosureSpace.HasCompactOperatorHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "ClosureSpace.HasCompactOperatorHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "ClosureSpace.HasCompactOperatorHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "ClosureSpace.HasContinuousFiniteCompactComparison",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "ClosureSpace.HasContinuousFiniteConjugation",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "ClosureSpace.HasFiniteDimensionalCompactHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "ClosureSpace.HasFiniteDimensionalCompactHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "NormedSpace.PrimitiveGeometricSpectrum"
    ],
    [
      "ClosureSpace.HullKernel.space",
      "NormedSpace.geometricStructureClosure"
    ],
    [
      "ClosureSpace.IsLinkedSet",
      "MathlibAnnex.Analysis.CStarAlgebra.maximal_isLinkedSet_normalPart_iff"
    ],
    [
      "ClosureSpace.Linked",
      "ClosureSpace.IsLinkedSet"
    ],
    [
      "ClosureSpace.Linked",
      "ClosureSpace.component"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
    ],
    [
      "ClosureSpace.Linked",
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq"
    ],
    [
      "ClosureSpace.component",
      "ClosureSpace.HasContinuousFiniteConjugation"
    ],
    [
      "ClosureSpace.component",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family"
    ],
    [
      "ClosureSpace.component",
      "NormedSpace.GeometricSpectrum"
    ],
    [
      "ClosureSpace.component",
      "NormedSpace.PrimitiveGeometricSpectrum"
    ],
    [
      "LinearEquiv.regularity_of_isClosed_image_hyperplane",
      "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous"
    ],
    [
      "LinearEquiv.regularity_of_isClosed_image_hyperplane",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous"
    ],
    [
      "LinearEquiv.regularity_of_isClosed_image_hyperplane",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.C0DirectSum",
      "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.c0SumEquivOfDense"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.C0DirectSum",
      "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.c0SumEquivOfDense",
      "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.compactC0SumEquivOfDense"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.compactC0SumEquivOfDense",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.compactC0Decomposition"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum",
      "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.compactC0SumEquivOfDense"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IrreducibleSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
      "MathlibAnnex.Analysis.CStarAlgebra.MinimalClosedStarIdeal.CompactModelSpace"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.MinimalClosedStarIdeal.CompactModelSpace",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.compactC0Decomposition"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.compactC0Decomposition",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.compactC0Decomposition",
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.compactC0Decomposition",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.compactC0Decomposition",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.compactC0Decomposition",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family",
      "MathlibAnnex.Analysis.CStarAlgebra.component_restrictedMatrixCoefficientKernel_eq_normalPart"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family",
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_normalPart_transport"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_iff_exists_faithful_representation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.component_restrictedMatrixCoefficientKernel_eq_normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_normalPart_transport"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_classification_eq"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_classification_eq"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_normalPart_transport",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_normalPart_transport",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val",
      "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_kernel_mem_geometricSpectrum"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_setOf_exists_pureState_unitaryTranslate"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectivizationEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartSemilinearFiniteHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_iff_exists_faithful_representation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure",
      "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq",
      "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq",
      "MathlibAnnex.Analysis.CStarAlgebra.maximal_isLinkedSet_normalPart_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.component_restrictedMatrixCoefficientKernel_eq_normalPart"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_iff_exists_faithful_representation"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq"
    ],
    [
      "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectivizationEquiv"
    ],
    [
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        "MathlibAnnex.Analysis.CStarAlgebra.forall_pure_state_range_eq_compact_iff_component_compact_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
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    },
    {
      "dependency": "NormedSpace.geometricSpectrumToPrimitive",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph",
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        "NormedSpace.geometricSpectrumClosure",
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        "MathlibAnnex.Analysis.CStarAlgebra.faithful_and_normalPart_eq_univ_of_singleton_irreducibleSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_compactOperatorStarSubalgebra_eq_univ",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph._proof_18",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_homeomorph_compact_of_eq",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_pure_state_range_eq_compact_iff_component_compact_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
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    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalPureState.toGeometricSpectrum_eq_iff",
        "MathlibAnnex.Analysis.CStarAlgebra.IrreducibleSpectrum.toGeometricSpectrum_bijective",
        "MathlibAnnex.Analysis.CStarAlgebra.IrreducibleSpectrum.equivGeometricSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumClosureHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.faithful_and_normalPart_eq_univ_of_singleton_irreducibleSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_compactOperatorStarSubalgebra_eq_univ",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph._proof_18",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_homeomorph_compact_of_eq",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_pure_state_range_eq_compact_iff_component_compact_homeomorph",
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      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily",
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      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily",
        "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumEquivGeometric._proof_1",
        "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumEquivGeometric",
        "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumKernel_equivGeometricSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.image_irreducibleSpectrumClosure",
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumClosureHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.faithful_and_normalPart_eq_univ_of_singleton_irreducibleSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_compactOperatorStarSubalgebra_eq_univ",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph._proof_18",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_homeomorph_compact_of_eq",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_pure_state_range_eq_compact_iff_component_compact_homeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumEquivGeometric_kernel",
        "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumKernel_equivGeometricSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.image_irreducibleSpectrumClosure",
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumClosureHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.faithful_and_normalPart_eq_univ_of_singleton_irreducibleSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_compactOperatorStarSubalgebra_eq_univ",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph._proof_18",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_homeomorph_compact_of_eq",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_pure_state_range_eq_compact_iff_component_compact_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph"
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    {
      "dependency": "ClosureSpace.HasFiniteDimensionalCompactHomeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
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    },
    {
      "dependency": "ClosureSpace.component",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
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    },
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      "dependency": "NormedSpace.GeometricStructureSpace",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph",
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      "dependency": "NormedSpace.geometricStructureClosure",
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    {
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      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph",
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    },
    {
      "dependency": "ClosureSpace.HullKernel.space",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph",
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        "NormedSpace.geometricStructureClosure",
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    },
    {
      "dependency": "ClosureSpace.FiniteHomeomorph",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph",
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    },
    {
      "dependency": "NormedSpace.supportKernelUnion",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph",
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        "NormedSpace.geometricStructureFamily",
        "NormedSpace.GeometricStructureSpace",
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    {
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    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
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        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
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    {
      "dependency": "NormedSpace.GeometricSpectrum",
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        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.exists_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
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        "MathlibAnnex.Analysis.CStarAlgebra.exists_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
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      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
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        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalPureState.toGeometricSpectrum_surjective",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_representation_normalPart_homeomorph_component",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.coefficientImageGeometricStructureHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.imageNormalPartHomeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.ker_matrixCoefficient_mem_geometricStructureFamily",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.matrixCoefficientKernel",
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        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.mem_geometricStructureFamily_iff_exists_mem_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.ker_matrixCoefficient_mem_geometricStructureFamily",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.matrixCoefficientKernel",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_representation_normalPart_homeomorph_component",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_compact_operators",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_compactOperatorStarSubalgebra_eq_univ",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph._proof_18",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
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    {
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        "MathlibAnnex.Analysis.CStarAlgebra.faithful_and_normalPart_eq_univ_of_singleton_irreducibleSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_compactOperatorStarSubalgebra_eq_univ",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph._proof_18",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
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        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_compactOperatorStarSubalgebra_eq_univ",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph._proof_18",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
      ]
    },
    {
      "dependency": "NormedSpace.geometricSpectrumToPrimitive",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph",
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        "NormedSpace.geometricSpectrumToPrimitive",
        "NormedSpace.geometricSpectrumClosure",
        "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumTopology",
        "MathlibAnnex.Analysis.CStarAlgebra.faithful_and_normalPart_eq_univ_of_singleton_irreducibleSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_compactOperatorStarSubalgebra_eq_univ",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph._proof_18",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq",
        "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartProjectivizationEquiv_iff",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_projective_factors_or_swapped",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_projective_factors_preserving_finite_span",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectiveFirstFactor",
        "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
      ]
    },
    {
      "dependency": "NormedSpace.geometricStructureHomeomorphOfBirkhoffJames",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph",
      "path": [
        "NormedSpace.geometricStructureHomeomorphOfBirkhoffJames",
        "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureStarHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPartStarHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPartFiniteHomeomorphSwap",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_projective_swapped_factors_preserve_finite_span",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_projective_factors_preserving_finite_span",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectiveFirstFactor",
        "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalPureState.toGeometricSpectrum_eq_iff",
        "MathlibAnnex.Analysis.CStarAlgebra.IrreducibleSpectrum.toGeometricSpectrum_bijective",
        "MathlibAnnex.Analysis.CStarAlgebra.IrreducibleSpectrum.equivGeometricSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumClosureHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.faithful_and_normalPart_eq_univ_of_singleton_irreducibleSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_compactOperatorStarSubalgebra_eq_univ",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph._proof_18",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily",
        "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumEquivGeometric._proof_1",
        "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumEquivGeometric",
        "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumKernel_equivGeometricSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.image_irreducibleSpectrumClosure",
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumClosureHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.faithful_and_normalPart_eq_univ_of_singleton_irreducibleSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_compactOperatorStarSubalgebra_eq_univ",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph._proof_18",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalPureState.geometricSpectrumToPrimitive_toGeometricSpectrum_val",
        "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumEquivGeometric_kernel",
        "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumKernel_equivGeometricSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.image_irreducibleSpectrumClosure",
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumClosureHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.faithful_and_normalPart_eq_univ_of_singleton_irreducibleSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_compactOperatorStarSubalgebra_eq_univ",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph._proof_18",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph"
      ]
    },
    {
      "dependency": "ClosureSpace.HasFiniteDimensionalCompactHomeomorph",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
      ]
    },
    {
      "dependency": "ClosureSpace.component",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
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    },
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      "dependency": "NormedSpace.GeometricStructureSpace",
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        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
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    },
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      "dependency": "NormedSpace.geometricStructureClosure",
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    {
      "dependency": "ClosureSpace",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph",
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        "ClosureSpace.HasFiniteDimensionalCompactHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
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    },
    {
      "dependency": "ClosureSpace.HullKernel.space",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph",
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    },
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      "dependency": "ClosureSpace.FiniteHomeomorph",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph",
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        "ClosureSpace.HasFiniteDimensionalCompactComparison",
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        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
      ]
    },
    {
      "dependency": "NormedSpace.supportKernelUnion",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph",
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        "NormedSpace.geometricStructureFamily",
        "NormedSpace.GeometricStructureSpace",
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    {
      "dependency": "ClosureSpace.Linked",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph",
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    },
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      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.normalPart",
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        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
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        "MathlibAnnex.Analysis.CStarAlgebra.exists_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.exists_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
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      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
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        "MathlibAnnex.Analysis.CStarAlgebra.isPureNonUnitalState_extremeAbsoluteState",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalPureState.toGeometricSpectrum_surjective",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_representation_normalPart_homeomorph_component",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
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      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.coefficientImageGeometricStructureHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.imageNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_representation_normalPart_homeomorph_component",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
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        "MathlibAnnex.Analysis.CStarAlgebra.image_normalPart_eq_component",
        "MathlibAnnex.Analysis.CStarAlgebra.imageNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_representation_normalPart_homeomorph_component",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
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        "MathlibAnnex.Analysis.CStarAlgebra.mem_geometricStructureFamily_iff_exists_mem_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.ker_matrixCoefficient_mem_geometricStructureFamily",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.matrixCoefficientKernel",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_representation_normalPart_homeomorph_component",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
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        "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_compact_operators",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_compactOperatorStarSubalgebra_eq_univ",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph._proof_18",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
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        "MathlibAnnex.Analysis.CStarAlgebra.faithful_and_normalPart_eq_univ_of_singleton_irreducibleSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_compactOperatorStarSubalgebra_eq_univ",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph._proof_18",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_le_iff_component_compact_homeomorph"
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    {
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        "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.mem_geometricStructureFamily_iff_exists_mem_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.ker_matrixCoefficient_mem_geometricStructureFamily",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.matrixCoefficientKernel",
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        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_compactOperatorStarSubalgebra_eq_univ",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph._proof_18",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
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        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_compactOperatorStarSubalgebra_eq_univ",
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        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
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        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
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        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
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        "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_component_homeomorph_eq_of_finiteDimensional_compact_comparison",
        "MathlibAnnex.Analysis.CStarAlgebra.component_hasFiniteDimensionalCompactComparison_iff_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finiteDimensional_finrank_iff_component_compact_homeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_compactOperatorStarSubalgebra_eq_univ",
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        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_homeomorph_eq_of_finiteDimensional_compact_comparison",
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        "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumEquivGeometric_kernel",
        "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumKernel_equivGeometricSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.image_irreducibleSpectrumClosure",
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumClosureHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.faithful_and_normalPart_eq_univ_of_singleton_irreducibleSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_compactOperatorStarSubalgebra_eq_univ",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph._proof_18",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_normalPart_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
      ]
    },
    {
      "dependency": "ClosureSpace",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff",
      "path": [
        "ClosureSpace",
        "ClosureSpace.toTopologicalSpace",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.instTopologicalSpace",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
      ]
    },
    {
      "dependency": "ClosureSpace.HullKernel.space",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff",
      "path": [
        "ClosureSpace.HullKernel.space",
        "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumClosure",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.instTopologicalSpace",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum",
        "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum.isCompactlyRepresented_representationOfEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_iff",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.C0DirectSum",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.C0DirectSum",
        "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum",
        "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum.isCompactlyRepresented_representationOfEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_iff",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.MinimalClosedStarIdeal.CompactModelSpace",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.MinimalClosedStarIdeal.CompactModelSpace",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.range_eq_compactOperatorStarSubalgebra_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.range_gnsRepresentation_eq_compact_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.range_pureStateRepresentative_eq_compact_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_iff",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.compactC0Decomposition",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.compactC0Decomposition",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.range_eq_compactOperatorStarSubalgebra_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.range_gnsRepresentation_eq_compact_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.range_pureStateRepresentative_eq_compact_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_iff",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
        "MathlibAnnex.Analysis.CStarAlgebra.MinimalClosedStarIdeal.compactModelSubspace",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.range_eq_compactOperatorStarSubalgebra_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.range_gnsRepresentation_eq_compact_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.range_pureStateRepresentative_eq_compact_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_iff",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.compactC0SumEquivOfDense",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.compactC0SumEquivOfDense",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.compactC0Decomposition",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.range_eq_compactOperatorStarSubalgebra_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.range_gnsRepresentation_eq_compact_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.range_pureStateRepresentative_eq_compact_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_iff",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.c0SumEquivOfDense",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.c0SumEquivOfDense",
        "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.compactC0SumEquivOfDense",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.compactC0Decomposition",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.range_eq_compactOperatorStarSubalgebra_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.range_gnsRepresentation_eq_compact_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.range_pureStateRepresentative_eq_compact_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_iff",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
      ]
    },
    {
      "dependency": "NormedSpace.GeometricStructureSpace",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff",
      "path": [
        "NormedSpace.GeometricStructureSpace",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_pureState_unitaryEquivalent_gnsRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_pureState_kernelIdeal_eq",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation._proof_1",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.range_eq_compact_of_forall_pureStateRepresentative_range_eq_compact",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.forall_pureStateRepresentative_range_eq_compact_iff_forall_irreducible_range_eq_compact",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_iff",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
      ]
    },
    {
      "dependency": "NormedSpace.geometricStructureClosure",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff",
      "path": [
        "NormedSpace.geometricStructureClosure",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_pureState_unitaryEquivalent_gnsRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_pureState_kernelIdeal_eq",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation._proof_1",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.range_eq_compact_of_forall_pureStateRepresentative_range_eq_compact",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.forall_pureStateRepresentative_range_eq_compact_iff_forall_irreducible_range_eq_compact",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_iff",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
      ]
    },
    {
      "dependency": "ClosureSpace.Linked",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff",
      "path": [
        "ClosureSpace.Linked",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.unitaryEquivalent_of_linked_matrixCoefficientKernel",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_pureState_unitaryEquivalent_gnsRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_pureState_kernelIdeal_eq",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation._proof_1",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.range_eq_compact_of_forall_pureStateRepresentative_range_eq_compact",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.forall_pureStateRepresentative_range_eq_compact_iff_forall_irreducible_range_eq_compact",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_iff",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
      ]
    },
    {
      "dependency": "NormedSpace.supportKernelUnion",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff",
      "path": [
        "NormedSpace.supportKernelUnion",
        "NormedSpace.geometricStructureFamily",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_pureState_unitaryEquivalent_gnsRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_pureState_kernelIdeal_eq",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation._proof_1",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.range_eq_compact_of_forall_pureStateRepresentative_range_eq_compact",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.forall_pureStateRepresentative_range_eq_compact_iff_forall_irreducible_range_eq_compact",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_iff",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.mem_geometricStructureFamily_iff_exists_mem_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.ker_matrixCoefficient_mem_geometricStructureFamily",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.matrixCoefficientKernel",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_pureState_unitaryEquivalent_gnsRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_pureState_kernelIdeal_eq",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation._proof_1",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.range_eq_compact_of_forall_pureStateRepresentative_range_eq_compact",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.forall_pureStateRepresentative_range_eq_compact_iff_forall_irreducible_range_eq_compact",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_iff",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.mem_geometricStructureFamily_iff_exists_mem_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.ker_matrixCoefficient_mem_geometricStructureFamily",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.matrixCoefficientKernel",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_pureState_unitaryEquivalent_gnsRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_pureState_kernelIdeal_eq",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation._proof_1",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.range_eq_compact_of_forall_pureStateRepresentative_range_eq_compact",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.forall_pureStateRepresentative_range_eq_compact_iff_forall_irreducible_range_eq_compact",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_iff",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_norm_eq_one_apply_eq_one_of_mem_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_unitBallSupportFace_of_mem_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_unitBallSupportFace_of_mem_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.mem_geometricStructureFamily_iff_exists_mem_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.ker_matrixCoefficient_mem_geometricStructureFamily",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.matrixCoefficientKernel",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_pureState_unitaryEquivalent_gnsRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_pureState_kernelIdeal_eq",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation._proof_1",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.range_eq_compact_of_forall_pureStateRepresentative_range_eq_compact",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.forall_pureStateRepresentative_range_eq_compact_iff_forall_irreducible_range_eq_compact",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_iff",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.C0DirectSum",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.C0DirectSum",
        "MathlibAnnex.Analysis.CStarAlgebra.C0DirectSum.nonUnitalCStarAlgebra",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
      ]
    },
    {
      "dependency": "ClosureSpace",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented",
      "path": [
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        "ClosureSpace.toTopologicalSpace",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.instTopologicalSpace",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
      ]
    },
    {
      "dependency": "ClosureSpace.HullKernel.space",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented",
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        "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumClosure",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.instTopologicalSpace",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.MinimalClosedStarIdeal.CompactModelSpace",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented",
      "path": [
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        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.range_eq_compactOperatorStarSubalgebra_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.range_gnsRepresentation_eq_compact_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.range_pureStateRepresentative_eq_compact_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.compactC0Decomposition",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented",
      "path": [
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        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.range_eq_compactOperatorStarSubalgebra_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.range_gnsRepresentation_eq_compact_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.range_pureStateRepresentative_eq_compact_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented",
      "path": [
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        "MathlibAnnex.Analysis.CStarAlgebra.MinimalClosedStarIdeal.compactModelSubspace",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.range_eq_compactOperatorStarSubalgebra_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.range_gnsRepresentation_eq_compact_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.range_pureStateRepresentative_eq_compact_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.compactC0SumEquivOfDense",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented",
      "path": [
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        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.range_eq_compactOperatorStarSubalgebra_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.range_gnsRepresentation_eq_compact_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.range_pureStateRepresentative_eq_compact_of_isCompactlyRepresented",
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        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.range_pureStateRepresentative_eq_compact_of_isCompactlyRepresented",
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        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation._proof_1",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.kernelIntersection_univ_eq_bot",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_injective",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isometry_reducedAtomicRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
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        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.kernelIntersection_univ_eq_bot",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_injective",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isometry_reducedAtomicRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented"
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      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented",
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        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_pureState_kernelIdeal_eq",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation._proof_1",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.kernelIntersection_univ_eq_bot",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_injective",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isometry_reducedAtomicRepresentation",
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        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_pureState_kernelIdeal_eq",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation._proof_1",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.kernelIntersection_univ_eq_bot",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_injective",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isometry_reducedAtomicRepresentation",
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        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_pureState_kernelIdeal_eq",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation._proof_1",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.kernelIntersection_univ_eq_bot",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_injective",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isometry_reducedAtomicRepresentation",
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    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
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        "MathlibAnnex.Analysis.CStarAlgebra.mem_geometricStructureFamily_iff_exists_mem_extremePoints_dual_closedBall",
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        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_pureState_unitaryEquivalent_gnsRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_pureState_kernelIdeal_eq",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation._proof_1",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.kernelIntersection_univ_eq_bot",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_injective",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isometry_reducedAtomicRepresentation",
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      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
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        "MathlibAnnex.Analysis.CStarAlgebra.exists_norm_eq_one_apply_eq_one_of_mem_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_unitBallSupportFace_of_mem_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_unitBallSupportFace_of_mem_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.mem_geometricStructureFamily_iff_exists_mem_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.ker_matrixCoefficient_mem_geometricStructureFamily",
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        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation._proof_1",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.ofRepresentation",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.kernelIntersection_univ_eq_bot",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_injective",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isometry_reducedAtomicRepresentation",
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      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.compactC0SumEquivOfDense",
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      "dependency": "NormedSpace.GeometricStructureSpace",
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      "dependency": "NormedSpace.geometricStructureClosure",
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      "dependency": "NormedSpace.geometricStructureHomeomorphOfBirkhoffJames",
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    {
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        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
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    {
      "dependency": "NormedSpace.supportKernelUnion",
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    {
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    {
      "dependency": "ClosureSpace.HasCompactOperatorHomeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.forall_pure_state_range_eq_compact_of_component_compact_homeomorphs",
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        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_isCompactlyRepresented_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
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    {
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        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_isCompactlyRepresented_of_geometricStructure_homeomorph",
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    {
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        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_isCompactlyRepresented_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_isCompactlyRepresented"
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        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_compact_direct_sum_models_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_isCompactlyRepresented_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_compactOperatorEquiv",
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        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.range_pureStateRepresentative_eq_compact_of_geometricStructure_homeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_isCompactlyRepresented_of_geometricStructure_homeomorph",
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        "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumEquivGeometric",
        "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumClosureHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.isTopologizable_primitiveGeometricSpectrumClosure",
        "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumHomeomorphOfGeometricStructure",
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        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_operator_inclusion",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_operator_eq",
        "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_of_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_pure_state_range_eq_compact_of_component_compact_homeomorphs",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.range_pureStateRepresentative_eq_compact_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_isCompactlyRepresented_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_operator_inclusion",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_operator_eq",
        "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_of_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_pure_state_range_eq_compact_of_component_compact_homeomorphs",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.range_pureStateRepresentative_eq_compact_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_isCompactlyRepresented_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
      ]
    },
    {
      "dependency": "Projectivization.exists_semilinearEquiv_of_finite_span",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or",
      "path": [
        "Projectivization.exists_semilinearEquiv_of_finite_span",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_first_semilinearEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPartFirstScalarEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_of_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_pure_state_range_eq_compact_of_component_compact_homeomorphs",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.range_pureStateRepresentative_eq_compact_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_isCompactlyRepresented_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.mem_geometricStructureFamily_iff_exists_mem_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.ker_matrixCoefficient_mem_geometricStructureFamily",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.matrixCoefficientKernel",
        "MathlibAnnex.Analysis.CStarAlgebra.discreteTopology_primitiveSpectrum_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_isCompactlyRepresented_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure",
        "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum.indexEquivOfGeometricStructure",
        "MathlibAnnex.Analysis.CStarAlgebra.compactDirectSumRigidityIndexEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.compactDirectSumRigidityStarAlgEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_compact_direct_sum_models_of_geometricStructure_homeomorph_of_nonempty",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_compact_direct_sum_models_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_isCompactlyRepresented_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.isPureNonUnitalState_extremeAbsoluteState",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalPureState.toGeometricSpectrum_surjective",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_representation_normalPart_homeomorph_component",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_pure_state_range_eq_compact_iff_component_compact_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.hasCompactOperatorHomeomorph_component_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.range_pureStateRepresentative_eq_compact_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_isCompactlyRepresented_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily",
        "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumEquivGeometric._proof_1",
        "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumEquivGeometric",
        "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumClosureHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.isTopologizable_primitiveGeometricSpectrumClosure",
        "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumHomeomorphOfGeometricStructure",
        "MathlibAnnex.Analysis.CStarAlgebra.discreteTopology_primitiveSpectrum_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_isCompactlyRepresented_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous",
        "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum.hilbertBasis_lift_mk_eq_of_matched_coordinate",
        "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum.nonempty_linearIsometryEquiv_of_matched_coordinate",
        "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum.fiberLinearIsometryEquivOfGeometricStructure",
        "MathlibAnnex.Analysis.CStarAlgebra.compactDirectSumRigidityFiberEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.compactDirectSumRigidityStarAlgEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_compact_direct_sum_models_of_geometricStructure_homeomorph_of_nonempty",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_compact_direct_sum_models_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_isCompactlyRepresented_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
      ]
    },
    {
      "dependency": "NormedSpace.geometricSpectrumToPrimitive",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or",
      "path": [
        "NormedSpace.geometricSpectrumToPrimitive",
        "NormedSpace.geometricSpectrumClosure",
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure",
        "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum.indexEquivOfGeometricStructure",
        "MathlibAnnex.Analysis.CStarAlgebra.compactDirectSumRigidityIndexEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.compactDirectSumRigidityStarAlgEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_compact_direct_sum_models_of_geometricStructure_homeomorph_of_nonempty",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_compact_direct_sum_models_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_isCompactlyRepresented_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff",
        "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPart_equiv_and_inverse_iff_of_linear_point_eq_or_swap",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_same_type_normalPart_operator_inclusion",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_operator_inclusion",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_operator_eq",
        "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_of_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_pure_state_range_eq_compact_of_component_compact_homeomorphs",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.range_pureStateRepresentative_eq_compact_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_isCompactlyRepresented_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff",
        "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPart_equiv_iff_of_linear_point_eq_or_swap",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_same_type_normalPart_operator_inclusion",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_operator_inclusion",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_operator_eq",
        "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_of_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_pure_state_range_eq_compact_of_component_compact_homeomorphs",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.range_pureStateRepresentative_eq_compact_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_isCompactlyRepresented_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
      ]
    },
    {
      "dependency": "LinearEquiv.regularity_of_isClosed_image_hyperplane",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or",
      "path": [
        "LinearEquiv.regularity_of_isClosed_image_hyperplane",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPartFirstSemilinearEquiv_symm_regularity",
        "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartFirstSemilinearEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_operator_inclusion",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_operator_eq",
        "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_of_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_pure_state_range_eq_compact_of_component_compact_homeomorphs",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.range_pureStateRepresentative_eq_compact_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_isCompactlyRepresented_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq",
        "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartProjectivizationEquiv_iff",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_projective_factors_or_swapped",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_projective_factors_preserving_finite_span",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectiveFirstFactor",
        "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_of_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.forall_pure_state_range_eq_compact_of_component_compact_homeomorphs",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.range_pureStateRepresentative_eq_compact_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_isCompactlyRepresented_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalPureState.geometricSpectrumToPrimitive_toGeometricSpectrum_val",
        "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily",
        "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumEquivGeometric._proof_1",
        "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumEquivGeometric",
        "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumClosureHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.isTopologizable_primitiveGeometricSpectrumClosure",
        "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumHomeomorphOfGeometricStructure",
        "MathlibAnnex.Analysis.CStarAlgebra.discreteTopology_primitiveSpectrum_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.isCompactlyRepresented_reducedAtomicRepresentation_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_isCompactlyRepresented_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isCompactlyRepresented",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalPureState.toGeometricSpectrum_eq_iff",
        "MathlibAnnex.Analysis.CStarAlgebra.IrreducibleSpectrum.toGeometricSpectrum_bijective",
        "MathlibAnnex.Analysis.CStarAlgebra.IrreducibleSpectrum.equivGeometricSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumClosureHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure",
        "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum.indexEquivOfGeometricStructure",
        "MathlibAnnex.Analysis.CStarAlgebra.compactDirectSumRigidityIndexEquiv",
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        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_hilbertBasis_index_equiv_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_linearIsometryEquiv_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isBoundedOperatorModel",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_boundedOperatorEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff",
        "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPart_equiv_and_inverse_iff_of_linear_point_eq_or_swap",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_same_type_normalPart_operator_inclusion",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_operator_inclusion",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_operator_eq",
        "MathlibAnnex.Analysis.CStarAlgebra.eq_top_of_normalPart_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isBoundedOperatorModel",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_boundedOperatorEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff",
        "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPart_equiv_iff_of_linear_point_eq_or_swap",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_same_type_normalPart_operator_inclusion",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_operator_inclusion",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_operator_eq",
        "MathlibAnnex.Analysis.CStarAlgebra.eq_top_of_normalPart_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isBoundedOperatorModel",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_boundedOperatorEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.isMaximalFace_iff_exists_mem_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.mem_geometricStructureFamily_iff_exists_mem_extremePoints_dual_closedBall",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.ker_matrixCoefficient_mem_geometricStructureFamily",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.matrixCoefficientKernel",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_normalPart_transport",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isBoundedOperatorModel",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_boundedOperatorEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
      ]
    },
    {
      "dependency": "LinearEquiv.regularity_of_isClosed_image_hyperplane",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv",
      "path": [
        "LinearEquiv.regularity_of_isClosed_image_hyperplane",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPartFirstSemilinearEquiv_symm_regularity",
        "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartFirstSemilinearEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_operator_inclusion",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_operator_eq",
        "MathlibAnnex.Analysis.CStarAlgebra.eq_top_of_normalPart_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isBoundedOperatorModel",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_boundedOperatorEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq",
        "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartProjectivizationEquiv_iff",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_projective_factors_or_swapped",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_projective_factors_preserving_finite_span",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectiveFirstFactor",
        "MathlibAnnex.Analysis.CStarAlgebra.finite_iff_of_normalPart_finiteHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.eq_top_of_normalPart_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isBoundedOperatorModel",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_boundedOperatorEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.normalPartSemilinearFiniteHomeomorph",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.normalPartSemilinearFiniteHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPartLinearFiniteHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartToCompactFiniteHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.compactOperatorStarSubalgebra_le_iff_of_normalPart_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_geometricStructure_homeomorph_of_compact_le",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_hilbertBasis_index_equiv_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_linearIsometryEquiv_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isBoundedOperatorModel",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_boundedOperatorEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.IrreducibleSpectrum",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.IrreducibleSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_compact_operators",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_compactOperatorStarSubalgebra_eq_univ",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph._proof_18",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.compactOperatorStarSubalgebra_le_of_continuous_finiteHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.compactOperatorStarSubalgebra_le_iff_of_normalPart_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_geometricStructure_homeomorph_of_compact_le",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_hilbertBasis_index_equiv_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_linearIsometryEquiv_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isBoundedOperatorModel",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_boundedOperatorEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.faithful_and_normalPart_eq_univ_of_singleton_irreducibleSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_compactOperatorStarSubalgebra_eq_univ",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph._proof_18",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.compactOperatorStarSubalgebra_le_of_continuous_finiteHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.compactOperatorStarSubalgebra_le_iff_of_normalPart_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_geometricStructure_homeomorph_of_compact_le",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_hilbertBasis_index_equiv_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_linearIsometryEquiv_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isBoundedOperatorModel",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_boundedOperatorEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_of_isCompactOperatorModel",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_compact_operators",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_compactOperatorStarSubalgebra_eq_univ",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph._proof_18",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.compactOperatorStarSubalgebra_le_of_continuous_finiteHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.compactOperatorStarSubalgebra_le_iff_of_normalPart_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_geometricStructure_homeomorph_of_compact_le",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_hilbertBasis_index_equiv_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_linearIsometryEquiv_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isBoundedOperatorModel",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_boundedOperatorEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumClosure",
        "MathlibAnnex.Analysis.CStarAlgebra.IrreducibleSpectrum.instTopologicalSpace",
        "MathlibAnnex.Analysis.CStarAlgebra.faithful_and_normalPart_eq_univ_of_singleton_irreducibleSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_compactOperatorStarSubalgebra_eq_univ",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph._proof_18",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.compactOperatorStarSubalgebra_le_of_continuous_finiteHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.compactOperatorStarSubalgebra_le_iff_of_normalPart_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_geometricStructure_homeomorph_of_compact_le",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_hilbertBasis_index_equiv_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_linearIsometryEquiv_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isBoundedOperatorModel",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_boundedOperatorEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
      ]
    },
    {
      "dependency": "NormedSpace.PrimitiveGeometricSpectrum",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv",
      "path": [
        "NormedSpace.PrimitiveGeometricSpectrum",
        "NormedSpace.geometricSpectrumClosure",
        "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumTopology",
        "MathlibAnnex.Analysis.CStarAlgebra.faithful_and_normalPart_eq_univ_of_singleton_irreducibleSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_compactOperatorStarSubalgebra_eq_univ",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph._proof_18",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.compactOperatorStarSubalgebra_le_of_continuous_finiteHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.compactOperatorStarSubalgebra_le_iff_of_normalPart_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_geometricStructure_homeomorph_of_compact_le",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_hilbertBasis_index_equiv_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_linearIsometryEquiv_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isBoundedOperatorModel",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_boundedOperatorEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
      ]
    },
    {
      "dependency": "NormedSpace.geometricSpectrumToPrimitive",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv",
      "path": [
        "NormedSpace.geometricSpectrumToPrimitive",
        "NormedSpace.geometricSpectrumClosure",
        "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumTopology",
        "MathlibAnnex.Analysis.CStarAlgebra.faithful_and_normalPart_eq_univ_of_singleton_irreducibleSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_compactOperatorStarSubalgebra_eq_univ",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph._proof_18",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.compactOperatorStarSubalgebra_le_of_continuous_finiteHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.compactOperatorStarSubalgebra_le_iff_of_normalPart_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_geometricStructure_homeomorph_of_compact_le",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_hilbertBasis_index_equiv_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_linearIsometryEquiv_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isBoundedOperatorModel",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_boundedOperatorEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalPureState.toGeometricSpectrum_eq_iff",
        "MathlibAnnex.Analysis.CStarAlgebra.IrreducibleSpectrum.toGeometricSpectrum_bijective",
        "MathlibAnnex.Analysis.CStarAlgebra.IrreducibleSpectrum.equivGeometricSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumClosureHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.faithful_and_normalPart_eq_univ_of_singleton_irreducibleSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_compactOperatorStarSubalgebra_eq_univ",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph._proof_18",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.compactOperatorStarSubalgebra_le_of_continuous_finiteHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.compactOperatorStarSubalgebra_le_iff_of_normalPart_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_geometricStructure_homeomorph_of_compact_le",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_hilbertBasis_index_equiv_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_linearIsometryEquiv_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isBoundedOperatorModel",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_boundedOperatorEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily",
        "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumEquivGeometric._proof_1",
        "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumEquivGeometric",
        "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumKernel_equivGeometricSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.image_irreducibleSpectrumClosure",
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumClosureHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.faithful_and_normalPart_eq_univ_of_singleton_irreducibleSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_compactOperatorStarSubalgebra_eq_univ",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph._proof_18",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.compactOperatorStarSubalgebra_le_of_continuous_finiteHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.compactOperatorStarSubalgebra_le_iff_of_normalPart_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_geometricStructure_homeomorph_of_compact_le",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_hilbertBasis_index_equiv_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_linearIsometryEquiv_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isBoundedOperatorModel",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_boundedOperatorEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val",
        "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalPureState.geometricSpectrumToPrimitive_toGeometricSpectrum_val",
        "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumEquivGeometric_kernel",
        "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumKernel_equivGeometricSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.image_irreducibleSpectrumClosure",
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumClosureHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.faithful_and_normalPart_eq_univ_of_singleton_irreducibleSpectrum",
        "MathlibAnnex.Analysis.CStarAlgebra.normalPart_compactOperatorStarSubalgebra_eq_univ",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph._proof_18",
        "MathlibAnnex.Analysis.CStarAlgebra.compactNormalPartHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.compactOperatorStarSubalgebra_le_of_continuous_finiteHomeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.compactOperatorStarSubalgebra_le_iff_of_normalPart_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_geometricStructure_homeomorph_of_compact_le",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_hilbertBasis_index_equiv_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_linearIsometryEquiv_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_of_boundedOperatorModel_of_geometricStructure_homeomorph",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_isBoundedOperatorModel",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_boundedOperatorEquiv",
        "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.C0DirectSum",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.compactC0SumEquivOfDense",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.C0DirectSum",
        "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.compactC0SumEquivOfDense"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.c0SumEquivOfDense",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.compactC0SumEquivOfDense",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.c0SumEquivOfDense",
        "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.compactC0SumEquivOfDense"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.compactC0SumEquivOfDense",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum",
        "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.compactC0SumEquivOfDense"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.MinimalClosedStarIdeal.CompactModelSpace",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel",
        "MathlibAnnex.Analysis.CStarAlgebra.MinimalClosedStarIdeal.compactModelSubspace",
        "MathlibAnnex.Analysis.CStarAlgebra.MinimalClosedStarIdeal.CompactModelSpace"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.C0DirectSum",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.C0DirectSum",
        "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum"
      ]
    },
    {
      "dependency": "MathlibAnnex.Analysis.CStarAlgebra.C0DirectSum",
      "consumer": "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.c0SumEquivOfDense",
      "path": [
        "MathlibAnnex.Analysis.CStarAlgebra.C0DirectSum",
        "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.c0SumEquivOfDense"
      ]
    }
  ],
  "boundary_inputs": {
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    "ClosureSpace.HullKernel.space": [
      "ClosureOperator",
      "ClosureOperator.instFunLike",
      "ClosureOperator.mk'",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteSemilatticeInf.toPartialOrder",
      "DFunLike.coe",
      "EmptyCollection.emptyCollection",
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      "Eq.rec",
      "Eq.refl",
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      "HasSubset.Subset",
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      "Iff",
      "Iff.mpr",
      "Iff.rfl",
      "LE.le",
      "Membership.mem",
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      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instIsTransSubset",
      "Set.instMembership",
      "Set.mem_empty_iff_false",
      "Set.mem_univ",
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      "Subtype.property",
      "Subtype.val",
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      "congr",
      "congrArg",
      "eq_true",
      "false_implies",
      "forall_congr",
      "id",
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      "implies_true",
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      "AddGroupWithOne.toAddMonoidWithOne",
      "AddMonoidWithOne.toOne",
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      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "DFunLike.coe",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "DivisionSemiring.toSemiring",
      "Eq",
      "Exists",
      "Field.toSemifield",
      "LE.le",
      "Membership.mem",
      "MulZeroClass.toZero",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NontriviallyNormedField.toNormedField",
      "Norm.norm",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedField.toField",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedSpace",
      "NormedRing.toRing",
      "NormedSpace",
      "NormedSpace.toModule",
      "OfNat.ofNat",
      "One.toOfNat1",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.toDenselyNormedField",
      "Real",
      "Real.instLE",
      "Real.instOne",
      "Ring.toAddGroupWithOne",
      "RingHom.id",
      "Semifield.toDivisionSemiring",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toPseudoMetricSpace",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toNonAssocSemiring",
      "Set",
      "Set.instMembership",
      "StrongDual",
      "UniformSpace.toTopologicalSpace",
      "Zero.toOfNat0",
      "instMulZeroClassOfSemiring",
      "setOf"
    ],
    "NormedSpace.GeometricStructureSpace": [
      "AddCommGroup.toAddCommMonoid",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddMonoidWithOne.toOne",
      "And",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "DFunLike.coe",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "DivisionSemiring.toSemiring",
      "Eq",
      "Exists",
      "Field.toSemifield",
      "LE.le",
      "Membership.mem",
      "MulZeroClass.toZero",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NontriviallyNormedField.toNormedField",
      "Norm.norm",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedField.toField",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedSpace",
      "NormedRing.toRing",
      "NormedSpace",
      "NormedSpace.restrictScalars",
      "NormedSpace.toModule",
      "OfNat.ofNat",
      "One.toOfNat1",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.toDenselyNormedField",
      "RCLike.toNormedAlgebra",
      "Real",
      "Real.instLE",
      "Real.instOne",
      "Real.normedField",
      "Ring.toAddGroupWithOne",
      "RingHom.id",
      "Semifield.toDivisionSemiring",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toPseudoMetricSpace",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toNonAssocSemiring",
      "Set",
      "Set.instMembership",
      "StrongDual",
      "Subtype",
      "UniformSpace.toTopologicalSpace",
      "Zero.toOfNat0",
      "instMulZeroClassOfSemiring",
      "setOf"
    ],
    "NormedSpace.geometricStructureClosure": [
      "AddCommGroup.toAddCommMonoid",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddMonoidWithOne.toOne",
      "And",
      "And.casesOn",
      "And.right",
      "ClosureOperator",
      "ClosureOperator.instFunLike",
      "ClosureOperator.mk'",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteSemilatticeInf.toPartialOrder",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "DFunLike.coe",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "DivisionSemiring.toSemiring",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.mpr",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "Exists",
      "Exists.casesOn",
      "False",
      "Field.toSemifield",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "Iff",
      "Iff.mpr",
      "Iff.rfl",
      "LE.le",
      "Membership.mem",
      "Monotone",
      "MulZeroClass.toZero",
      "Ne",
      "NeZero.charZero_one",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NontriviallyNormedField.toNormedField",
      "Norm.norm",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedField.toField",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedSpace",
      "NormedRing.toRing",
      "NormedSpace",
      "NormedSpace.restrictScalars",
      "NormedSpace.toModule",
      "Not",
      "OfNat.ofNat",
      "One.toOfNat1",
      "PartialOrder.toPreorder",
      "Preorder.toLE",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.toDenselyNormedField",
      "RCLike.toNormedAlgebra",
      "Real",
      "Real.instLE",
      "Real.instOne",
      "Real.normedField",
      "Ring.toAddGroupWithOne",
      "RingHom.id",
      "Semifield.toDivisionSemiring",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toPseudoMetricSpace",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toNonAssocSemiring",
      "Set",
      "Set.Elem",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instIsTransSubset",
      "Set.instMembership",
      "Set.mem_empty_iff_false",
      "Set.mem_univ",
      "Set.subset_univ",
      "Set.univ",
      "StrongDual",
      "Subtype",
      "Subtype.property",
      "Subtype.val",
      "True",
      "UniformSpace.toTopologicalSpace",
      "Zero.toOfNat0",
      "congr",
      "congrArg",
      "eq_true",
      "false_implies",
      "forall_congr",
      "id",
      "iff_self",
      "implies_congr",
      "implies_true",
      "instMulZeroClassOfSemiring",
      "le_refl",
      "of_eq_true",
      "one_ne_zero",
      "propext",
      "setOf"
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    "NormedSpace.geometricStructureHomeomorphOfBirkhoffJames": [
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommMagma.toAdd",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddHom.mk",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instAddMonoidHomClass",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddSemigroup.toAdd",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "Algebra.id",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Antitone",
      "Bool",
      "Bool.false",
      "Bool.true",
      "BoundedOrder.toOrderBot",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.instFunLike",
      "ClosureOperator.mk'",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommMagma.toMul",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toRing",
      "CommSemiring.toSemiring",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteSemilatticeInf.toPartialOrder",
      "Continuous.norm",
      "ContinuousAdd",
      "ContinuousConstSMul",
      "ContinuousLinearMap",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.zero",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Directed",
      "Disjoint",
      "Dist.dist",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toSemiring",
      "EMetricSpace.metrizableSpace",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.subset",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Eq.trans_ne",
      "Equiv",
      "Equiv.apply_symm_apply",
      "Equiv.injective",
      "Equiv.instEquivLike",
      "Equiv.invFun",
      "Equiv.mk",
      "Equiv.surjective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "Equiv.toFun",
      "EquivLike.toFunLike",
      "Exists",
      "Exists.casesOn",
      "Exists.intro",
      "False",
      "False.elim",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.proper_rclike",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "HeytingAlgebra.toOrderBot",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Iff.symm",
      "Insert.insert",
      "Int",
      "Int.instNegInt",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.inter",
      "IsCompact",
      "IsCompact.inter_right",
      "IsCompact.nonempty_iInter_of_directed_nonempty_isCompact_isClosed",
      "IsCompact.of_isClosed_subset",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.subset",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.left",
      "IsScalarTower.right",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "LE.le",
      "LE.le.trans",
      "LE.mk",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.mk",
      "Lattice.toSemilatticeInf",
      "LinearEquiv",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.instFunLike",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearOrder.toPartialOrder",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Maximal",
      "Membership.mem",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.isOpen_ball",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall_self",
      "Metric.mem_sphere",
      "Metric.sphere",
      "MetricSpace.toEMetricSpace",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidWithZero.toMulZeroOneClass",
      "Monotone",
      "Mul",
      "MulAction.toSemigroupAction",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat.rawCast",
      "Nat",
      "Nat.cast_one",
      "Nat.cast_zero",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCommSemiring",
      "Nat.instNeZeroSucc",
      "Nat.mul",
      "Nat.rawCast",
      "Ne",
      "Ne.symm",
      "NeZero.charZero_one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toSemigroupWithZero",
      "Nonempty",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField.toNormedField",
      "Norm.norm",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toRing",
      "NormedSpace",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "One.toOfNat1",
      "Or",
      "Or.casesOn",
      "Order.Frame.toHeytingAlgebra",
      "Order.IsIdeal.Directed",
      "Order.IsIdeal.IsLowerSet",
      "Order.IsIdeal.Nonempty",
      "Order.IsPFilter",
      "Order.IsPFilter.of_def",
      "OrderDual",
      "OrderDual.instLE",
      "OrderDual.ofDual",
      "PartialOrder.toPreorder",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulReflectLE",
      "Preorder",
      "Preorder.mk",
      "Preorder.toLE",
      "Preorder.toLT",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.norm_ofReal",
      "RCLike.norm_sq_eq_def",
      "RCLike.ofReal",
      "RCLike.one_im",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.toDenselyNormedField",
      "RCLike.toNormedAlgebra",
      "Rat.rawCast",
      "Real",
      "Real.commRing",
      "Real.decidableEq",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instCommSemiring",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMonoid",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.norm_ofNat",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Ring",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toSemiring",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomIsometric.ids",
      "SMulCommClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toPartialOrder",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNonAssocSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "Set",
      "Set.Elem",
      "Set.Nonempty",
      "Set.Nonempty.to_subtype",
      "Set.Subset.antisymm",
      "Set.Subset.rfl",
      "Set.Subset.trans",
      "Set.disjoint_left",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.iInter",
      "Set.image",
      "Set.image_congr",
      "Set.image_id",
      "Set.image_image",
      "Set.instBoundedOrder",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSingletonSet",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.preimage",
      "Set.sUnion",
      "Set.singleton_nonempty",
      "Set.subset_sUnion_of_mem",
      "Set.subset_univ",
      "Set.univ",
      "SetLike.instMembership",
      "Singleton.singleton",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "Submodule",
      "Submodule.add",
      "Submodule.addCommMonoid",
      "Submodule.mem_span_pair",
      "Submodule.module",
      "Submodule.normedSpace",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.span",
      "Submodule.subset_span",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.ext",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.val",
      "Superset",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Trans.trans",
      "True",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace.toTopologicalSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instModule",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "Zero.toOfNat0",
      "abs",
      "abs_le",
      "abs_of_nonneg",
      "abs_of_pos",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_mul",
      "add_neg_cancel",
      "add_smul",
      "add_zero",
      "algebraMap.coe_one",
      "congr",
      "congrArg",
      "congrFun'",
      "continuous_const",
      "contravariant_lt_of_covariant_le",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
      "dist_zero_right",
      "dite",
      "eq_self",
      "eq_true",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "false_implies",
      "forall_congr",
      "funext",
      "geometric_hahn_banach_open",
      "id",
      "iff_self",
      "implies_congr",
      "implies_true",
      "inferInstance",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalRingReal",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "isClosed_eq",
      "isClosed_univ",
      "le_abs_self",
      "le_antisymm",
      "le_of_not_gt",
      "le_refl",
      "lt_of_le_of_ne",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "map_add",
      "map_neg",
      "map_smul",
      "map_sub",
      "map_zero",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mul_assoc",
      "mul_comm",
      "mul_inv_cancel₀",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_one",
      "ne_of_lt",
      "neg_eq_zero",
      "neg_neg_of_pos",
      "neg_smul",
      "neg_zero",
      "norm_div",
      "norm_eq_zero",
      "norm_inv",
      "norm_mul",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_pos_iff",
      "norm_smul",
      "norm_zero",
      "of_eq_true",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_smul",
      "openSegment",
      "openSegment_symm",
      "or_true",
      "pow_two",
      "propext",
      "rfl",
      "setOf",
      "smul_add",
      "smul_eq_mul",
      "smul_neg",
      "smul_smul",
      "smul_zero",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_mul",
      "sub_pos",
      "sub_self",
      "sub_smul",
      "subsingleton_or_nontrivial",
      "true_or",
      "zero_add",
      "zero_le_one",
      "zero_lt_one",
      "zero_ne_one",
      "zero_smul",
      "zorn_subset_nonempty"
    ],
    "ClosureSpace.Linked": [
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteSemilatticeInf.toPartialOrder",
      "Eq",
      "Insert.insert",
      "Not",
      "Or",
      "PartialOrder.toPreorder",
      "Set",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instInsert",
      "Set.instSingletonSet",
      "Singleton.singleton"
    ],
    "ClosureSpace.component": [
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteSemilatticeInf.toPartialOrder",
      "Eq",
      "Insert.insert",
      "Not",
      "Or",
      "PartialOrder.toPreorder",
      "Relation.EqvGen.setoid",
      "Set",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instInsert",
      "Set.instSingletonSet",
      "Setoid",
      "Setoid.r",
      "Singleton.singleton",
      "setOf"
    ],
    "NormedSpace.GeometricSpectrum": [
      "AddCommGroup.toAddCommMonoid",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddMonoidWithOne.toOne",
      "And",
      "And.casesOn",
      "And.right",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.instFunLike",
      "ClosureOperator.mk'",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteSemilatticeInf.toPartialOrder",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "DFunLike.coe",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "DivisionSemiring.toSemiring",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.mpr",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "Exists",
      "Exists.casesOn",
      "False",
      "Field.toSemifield",
      "HasSubset.Subset",
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      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
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      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toPseudoMetricSpace",
      "Semiring.toAddCommMonoid",
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      "Set.instMembership",
      "Set.instSingletonSet",
      "Set.mem_empty_iff_false",
      "Set.mem_univ",
      "Set.range",
      "Set.subset_univ",
      "Set.univ",
      "Setoid",
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      "Singleton.singleton",
      "StrongDual",
      "Subtype",
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      "Subtype.val",
      "True",
      "UniformSpace.toTopologicalSpace",
      "Zero.toOfNat0",
      "congr",
      "congrArg",
      "eq_true",
      "false_implies",
      "forall_congr",
      "id",
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      "implies_true",
      "instMulZeroClassOfSemiring",
      "le_refl",
      "of_eq_true",
      "one_ne_zero",
      "propext",
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    "NormedSpace.geometricSpectrumToPrimitive": [
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      "AddGroupWithOne.toAddMonoidWithOne",
      "AddMonoidWithOne.toOne",
      "And",
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      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.instFunLike",
      "ClosureOperator.mk'",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteSemilatticeInf.toPartialOrder",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "DFunLike.coe",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "DivisionSemiring.toSemiring",
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      "Eq",
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      "Iff",
      "Iff.mpr",
      "Iff.rfl",
      "Insert.insert",
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      "NeZero.charZero_one",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NontriviallyNormedField.toNormedField",
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      "NormedAddCommGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedField.toField",
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      "NormedField.toNormedSpace",
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      "Not",
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      "PseudoMetricSpace.toUniformSpace",
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      "Ring.toAddGroupWithOne",
      "RingHom.id",
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      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toPseudoMetricSpace",
      "Semiring.toAddCommMonoid",
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      "implies_true",
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      "one_ne_zero",
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    "ClosureSpace.IsLinkedSet": [
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteSemilatticeInf.toPartialOrder",
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      "Membership.mem",
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      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
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      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
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      "Algebra.complexToReal",
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      "Algebra.toModule",
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      "BoundedContinuousFunction.const_apply",
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      "BoundedContinuousFunction.instAlgebra",
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      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
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      "CStarAlgebra.exists_sum_four_nonneg",
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      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
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      "CStarMatrix.instCStarAlgebra",
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      "CStarMatrix.instDistribMulAction",
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      "CStarMatrix.instZero",
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      "CStarMatrix.ofMatrix",
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      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
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      "CStarRing.star_mul_self_eq_zero_iff",
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      "Commute.cfc_nnreal",
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      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "ConditionallyCompleteLattice.toLattice",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Disjoint",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Equiv",
      "Equiv.instEquivLike",
      "EquivLike.toFunLike",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.card",
      "Finset.decidableMem",
      "Finset.instSetLike",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Inner.inner",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.mul",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.inter",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.of_isClosed_subset",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.surjective",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instFunLike",
      "LinearMap.instZero",
      "LinearMap.ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module.complexToReal",
      "Module.finrank",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Mul",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "Nonempty",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Or",
      "Or.casesOn",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Order.Frame.toHeytingAlgebra",
      "OrderHomClass.mono",
      "OrderIso",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "PUnit.fintype",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.algebra",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.toNorm",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.ext",
      "Set.extremePoints",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.instBoundedOrder",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_iInter",
      "Set.mem_insert",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.preimage",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sUnion",
      "Set.subset_sUnion_of_mem",
      "Set.toFinite",
      "Set.univ",
      "SetLike.coe",
      "SetLike.instMembership",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.completeLattice",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.finiteDimensional_sup",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_orthogonal",
      "Submodule.mem_top",
      "Submodule.mk",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtypeL",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "Zero",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_le_add",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "and_self",
      "binderNameHint",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "closure",
      "commute_iff_eq",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_const",
      "continuous_id",
      "continuous_id'",
      "continuous_norm",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_self",
      "dist_zero_right",
      "dite",
      "div_eq_mul_inv",
      "div_le_one",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_true",
      "even_two_mul",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_or",
      "forall_congr",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "isClosed_biInter",
      "isClosed_eq",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_min",
      "le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_extremePoints_iff_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "optParam",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_unitaryTranslate_of_mem_extremePoints_dual_closedBall": [
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.false",
      "Bool.true",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "Classical.byContradiction",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.sq_norm",
      "ConditionallyCompleteLattice.toLattice",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "Eq",
      "Eq.casesOn",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "Equiv",
      "Equiv.instEquivLike",
      "EquivLike.toFunLike",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.card",
      "Finset.decidableMem",
      "Finset.instSetLike",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.range",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Surjective",
      "Function.comp",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSum",
      "HasSum.map",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Inner.inner",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.mul",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsClosed",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsExtreme",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.instEquivLike",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.instFunLike",
      "LinearMap.ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.range",
      "LinearMap.range_eq_top",
      "LinearMap.range_zero",
      "LinearMap.toAddHom",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Max.max",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module.complexToReal",
      "Module.finrank",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Mul",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "Nonempty",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Or",
      "Or.casesOn",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "OrderHomClass.mono",
      "OrderIso",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.algebra",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.toNorm",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.re",
      "RCLike.re_eq_complex_re",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos_of_pos",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.extremePoints",
      "Set.fintypeSingleton",
      "Set.image",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInvolutiveStar",
      "Set.instMembership",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_insert",
      "Set.mem_insert_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.toFinite",
      "Set.univ",
      "SetLike.coe",
      "SetLike.instMembership",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.completeLattice",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.finiteDimensional_sup",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.instBot",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_orthogonal",
      "Submodule.mem_top",
      "Submodule.mk",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtypeL",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "Zero",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
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      "abs_neg",
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      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_le_add",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_inj._simp_1",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "and_self",
      "binderNameHint",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_sub",
      "closure",
      "commute_iff_eq",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_const",
      "continuous_id",
      "continuous_id'",
      "continuous_norm",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_self",
      "dist_zero_right",
      "dite",
      "div_eq_mul_inv",
      "div_le_one",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_true",
      "even_two_mul",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_or",
      "forall_congr",
      "funext",
      "ge_iff_le._simp_1",
      "gt_iff_lt._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "id",
      "iff_of_true",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroLEOneClass",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_nonneg",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "isClosed_eq",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_max_left",
      "le_min",
      "le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_closedBall_zero_iff",
      "mem_extremePoints_iff_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "neg_add_cancel",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_subsingleton_iff_nontrivial",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "optParam",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "sq",
      "sq_abs",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_zero",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_image_ker_extremePoints_dual_closedBall": [
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.instFunLike",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "ConditionallyCompleteLattice.toLattice",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Disjoint",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Equiv",
      "Equiv.instEquivLike",
      "EquivLike.toFunLike",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.card",
      "Finset.decidableMem",
      "Finset.instSetLike",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Inner.inner",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.mul",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.inter",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.of_isClosed_subset",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.surjective",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instFunLike",
      "LinearMap.instZero",
      "LinearMap.ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module.complexToReal",
      "Module.finrank",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Mul",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "Nonempty",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Or",
      "Or.casesOn",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Order.Frame.toHeytingAlgebra",
      "OrderHomClass.mono",
      "OrderIso",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "PUnit.fintype",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.algebra",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.toNorm",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.ext",
      "Set.extremePoints",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.image_singleton",
      "Set.instBoundedOrder",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_iInter",
      "Set.mem_insert",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.preimage",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sUnion",
      "Set.subset_sUnion_of_mem",
      "Set.toFinite",
      "Set.univ",
      "SetLike.coe",
      "SetLike.instMembership",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.completeLattice",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.finiteDimensional_sup",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_orthogonal",
      "Submodule.mem_top",
      "Submodule.mk",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtypeL",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "Zero",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_le_add",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "and_self",
      "binderNameHint",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_singleton",
      "commute_iff_eq",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_const",
      "continuous_id",
      "continuous_id'",
      "continuous_norm",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_self",
      "dist_zero_right",
      "dite",
      "div_eq_mul_inv",
      "div_le_one",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_true",
      "even_two_mul",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_or",
      "forall_congr",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "isClosed_biInter",
      "isClosed_eq",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_min",
      "le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_extremePoints_iff_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "optParam",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.geometricStructureFamily_eq_setOf_exists_pureState_unitaryTranslate": [
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.instFunLike",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "ConditionallyCompleteLattice.toLattice",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Disjoint",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Equiv",
      "Equiv.instEquivLike",
      "EquivLike.toFunLike",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.card",
      "Finset.decidableMem",
      "Finset.instSetLike",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.mul",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.inter",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.of_isClosed_subset",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.surjective",
      "LinearEquiv.toLinearMap",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instFunLike",
      "LinearMap.instZero",
      "LinearMap.ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module.complexToReal",
      "Module.finrank",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Mul",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "Nonempty",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Or",
      "Or.casesOn",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Order.Frame.toHeytingAlgebra",
      "OrderBot.toBot",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "PUnit.fintype",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.algebra",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.toNorm",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.ext",
      "Set.extremePoints",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.image_singleton",
      "Set.instBoundedOrder",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_iInter",
      "Set.mem_insert",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.preimage",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sUnion",
      "Set.subset_sUnion_of_mem",
      "Set.toFinite",
      "Set.univ",
      "SetLike.coe",
      "SetLike.instMembership",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.finiteDimensional_sup",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_orthogonal",
      "Submodule.mem_top",
      "Submodule.mk",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtypeL",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "Zero",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_le_add",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "and_self",
      "binderNameHint",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_singleton",
      "commute_iff_eq",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_const",
      "continuous_id",
      "continuous_id'",
      "continuous_norm",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_self",
      "dist_zero_right",
      "dite",
      "div_eq_mul_inv",
      "div_le_one",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_true",
      "even_two_mul",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_or",
      "forall_congr",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "isClosed_biInter",
      "isClosed_eq",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_min",
      "le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_extremePoints_iff_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "optParam",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.related_matrixCoefficientKernel_iff_unitaryEquivalent": [
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.mk'",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.exists_norm_eq_mul_self",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instCompleteSpace",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_I",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "ConditionallyCompleteLattice.toLattice",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Disjoint",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Equiv",
      "Equiv.instEquivLike",
      "EquivLike.toFunLike",
      "Equivalence.trans",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.instIsLocalRing",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.card",
      "Finset.decidableMem",
      "Finset.instSetLike",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.mul",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.inter",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.of_isClosed_subset",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsLocalRing.toNontrivial",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.surjective",
      "LinearEquiv.toLinearMap",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.refl",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.trans",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.ker",
      "LinearMap.ker_zero",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.complexToReal",
      "Module.finrank",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.ofNat_pos._simp_1",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "Nonempty",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Order.Frame.toHeytingAlgebra",
      "OrderBot.toBot",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "PUnit.fintype",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.algebra",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.toNorm",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Relation.EqvGen",
      "Relation.EqvGen.rec",
      "Relation.EqvGen.rel",
      "Relation.EqvGen.setoid",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.extremePoints",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.image_singleton",
      "Set.instBoundedOrder",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.preimage",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sUnion",
      "Set.subset_sUnion_of_mem",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.univ",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "Setoid",
      "Setoid.iseqv",
      "Setoid.r",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.ext",
      "Submodule.finiteDimensional_sup",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_singleton",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_le",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtypeL",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAddGroup",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instCompleteSpace",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarAddMonoid",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "Zero",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_comm",
      "add_le_add",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_nonneg",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "and_congr_right",
      "and_self",
      "binderNameHint",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_singleton",
      "commute_iff_eq",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_const",
      "continuous_id",
      "continuous_id'",
      "continuous_norm",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_self",
      "dist_zero_right",
      "dite",
      "div_eq_mul_inv",
      "div_le_one",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "inv_smul_smul₀",
      "isClosed_biInter",
      "isClosed_eq",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_min",
      "le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_extremePoints_iff_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mt",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_le_of_le_one_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_one_smul",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "optParam",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.component_matrixCoefficientKernel_eq_family": [
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.mk'",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.exists_norm_eq_mul_self",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instCompleteSpace",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_I",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "ConditionallyCompleteLattice.toLattice",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Disjoint",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Equiv",
      "Equiv.instEquivLike",
      "EquivLike.toFunLike",
      "Equivalence.symm",
      "Equivalence.trans",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.instIsLocalRing",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.card",
      "Finset.decidableMem",
      "Finset.instSetLike",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.mul",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.inter",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.of_isClosed_subset",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsLocalRing.toNontrivial",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.surjective",
      "LinearEquiv.toLinearMap",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.refl",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.trans",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.ker",
      "LinearMap.ker_zero",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.complexToReal",
      "Module.finrank",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.ofNat_pos._simp_1",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "Nonempty",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Order.Frame.toHeytingAlgebra",
      "OrderBot.toBot",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "PUnit.fintype",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.algebra",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.toNorm",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Relation.EqvGen",
      "Relation.EqvGen.rec",
      "Relation.EqvGen.rel",
      "Relation.EqvGen.setoid",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.extremePoints",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.image_singleton",
      "Set.instBoundedOrder",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.preimage",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sUnion",
      "Set.subset_sUnion_of_mem",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.univ",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "Setoid",
      "Setoid.iseqv",
      "Setoid.r",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.ext",
      "Submodule.finiteDimensional_sup",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_singleton",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_le",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtypeL",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAddGroup",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instCompleteSpace",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarAddMonoid",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "Zero",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_comm",
      "add_le_add",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_nonneg",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "and_congr_right",
      "and_self",
      "binderNameHint",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_singleton",
      "commute_iff_eq",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_const",
      "continuous_id",
      "continuous_id'",
      "continuous_norm",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_self",
      "dist_zero_right",
      "dite",
      "div_eq_mul_inv",
      "div_le_one",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "inv_smul_smul₀",
      "isClosed_biInter",
      "isClosed_eq",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_min",
      "le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_extremePoints_iff_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mt",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_le_of_le_one_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_one_smul",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "optParam",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_kernel_mem_geometricSpectrum": [
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.mk'",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "ConditionallyCompleteLattice.toLattice",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Disjoint",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Equiv",
      "Equiv.instEquivLike",
      "EquivLike.toFunLike",
      "Equivalence.trans",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field.instIsLocalRing",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.card",
      "Finset.decidableMem",
      "Finset.instSetLike",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.mul",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.inter",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.of_isClosed_subset",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsLocalRing.toNontrivial",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.surjective",
      "LinearEquiv.toLinearMap",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instFunLike",
      "LinearMap.instZero",
      "LinearMap.ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.complexToReal",
      "Module.finrank",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "Nonempty",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Order.Frame.toHeytingAlgebra",
      "OrderBot.toBot",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "PUnit.fintype",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.algebra",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.toNorm",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Relation.EqvGen.rel",
      "Relation.EqvGen.setoid",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.extremePoints",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.image_singleton",
      "Set.instBoundedOrder",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_univ",
      "Set.preimage",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sUnion",
      "Set.subset_sUnion_of_mem",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.univ",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "Setoid",
      "Setoid.iseqv",
      "Setoid.r",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.ext",
      "Submodule.finiteDimensional_sup",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_singleton",
      "Submodule.mem_top",
      "Submodule.mk",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_le",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtypeL",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
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      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
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      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
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      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
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      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
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      "add_apply",
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      "add_le_add",
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      "binderNameHint",
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      "cfc_comp",
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      "cfc_mul",
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      "cfc_zero",
      "cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_singleton",
      "commute_iff_eq",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
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      "continuousOn_const",
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      "continuousOn_id'",
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      "continuous_id",
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      "continuous_norm",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
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      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_self",
      "dist_zero_right",
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      "div_eq_mul_inv",
      "div_le_one",
      "div_mul_cancel₀",
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      "div_one",
      "div_pos",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
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      "inv_smul_smul₀",
      "isClosed_biInter",
      "isClosed_eq",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_min",
      "le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_extremePoints_iff_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mt",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_one_smul",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "optParam",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.geometricSpectrumToPrimitive_toGeometricSpectrum_pureStateKernel_val": [
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.mk'",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.exists_norm_eq_mul_self",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instCompleteSpace",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_I",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "ConditionallyCompleteLattice.toLattice",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Disjoint",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Equiv",
      "Equiv.instEquivLike",
      "EquivLike.toFunLike",
      "Equivalence.symm",
      "Equivalence.trans",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.instIsLocalRing",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.card",
      "Finset.decidableMem",
      "Finset.instSetLike",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.mul",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.inter",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.of_isClosed_subset",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsLocalRing.toNontrivial",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.surjective",
      "LinearEquiv.toLinearMap",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.refl",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.trans",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.ker",
      "LinearMap.ker_zero",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.complexToReal",
      "Module.finrank",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.ofNat_pos._simp_1",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "Nonempty",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Order.Frame.toHeytingAlgebra",
      "OrderBot.toBot",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "PUnit.fintype",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.algebra",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.toNorm",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Relation.EqvGen",
      "Relation.EqvGen.rec",
      "Relation.EqvGen.rel",
      "Relation.EqvGen.setoid",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.extremePoints",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.image_singleton",
      "Set.instBoundedOrder",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.preimage",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sUnion",
      "Set.subset_sUnion_of_mem",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.univ",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "Setoid",
      "Setoid.iseqv",
      "Setoid.r",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.ext",
      "Submodule.finiteDimensional_sup",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_singleton",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_le",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtypeL",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAddGroup",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instCompleteSpace",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarAddMonoid",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "Zero",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_comm",
      "add_le_add",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_nonneg",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "and_congr_right",
      "and_self",
      "binderNameHint",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_singleton",
      "commute_iff_eq",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_const",
      "continuous_id",
      "continuous_id'",
      "continuous_norm",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_self",
      "dist_zero_right",
      "dite",
      "div_eq_mul_inv",
      "div_le_one",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_eq_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "inv_smul_smul₀",
      "isClosed_biInter",
      "isClosed_eq",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_min",
      "le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_extremePoints_iff_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mt",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_le_of_le_one_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_one_smul",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "optParam",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.primitiveKernelFamily_eq_primitiveGeometricSpectrumFamily": [
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.mk'",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.exists_norm_eq_mul_self",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instCompleteSpace",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_I",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "ConditionallyCompleteLattice.toLattice",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Disjoint",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Equiv",
      "Equiv.instEquivLike",
      "EquivLike.toFunLike",
      "Equivalence.refl",
      "Equivalence.symm",
      "Equivalence.trans",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.instIsLocalRing",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.card",
      "Finset.decidableMem",
      "Finset.instSetLike",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.mul",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.inter",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.of_isClosed_subset",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsLocalRing.toNontrivial",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.surjective",
      "LinearEquiv.toLinearMap",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.refl",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.trans",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.ker",
      "LinearMap.ker_zero",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.complexToReal",
      "Module.finrank",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.ofNat_pos._simp_1",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "Nonempty",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Order.Frame.toHeytingAlgebra",
      "OrderBot.toBot",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "PUnit.fintype",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.algebra",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.toNorm",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Relation.EqvGen",
      "Relation.EqvGen.rec",
      "Relation.EqvGen.rel",
      "Relation.EqvGen.setoid",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.extremePoints",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.image_singleton",
      "Set.instBoundedOrder",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.preimage",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sUnion",
      "Set.subset_sUnion_of_mem",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.univ",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "Setoid",
      "Setoid.iseqv",
      "Setoid.r",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.ext",
      "Submodule.finiteDimensional_sup",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_singleton",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_le",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtypeL",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "TwoSidedIdeal",
      "TwoSidedIdeal.ker",
      "TwoSidedIdeal.mem_ker",
      "TwoSidedIdeal.setLike",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAddGroup",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instCompleteSpace",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarAddMonoid",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "Zero",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_comm",
      "add_le_add",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_nonneg",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "and_congr_right",
      "and_self",
      "binderNameHint",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_singleton",
      "commute_iff_eq",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_const",
      "continuous_id",
      "continuous_id'",
      "continuous_norm",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_self",
      "dist_zero_right",
      "dite",
      "div_eq_mul_inv",
      "div_le_one",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_eq_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "inv_smul_smul₀",
      "isClosed_biInter",
      "isClosed_eq",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_min",
      "le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_extremePoints_iff_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mt",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_le_of_le_one_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_one_smul",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "optParam",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.primitiveSpectrumHomeomorph": [
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.isClosed_iff",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "Compl.compl",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.exists_norm_eq_mul_self",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instCompleteSpace",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_I",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "Con.toSetoid",
      "ConditionallyCompleteLattice.toLattice",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Disjoint",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.subset",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Equiv",
      "Equiv.apply_symm_apply",
      "Equiv.instEquivLike",
      "Equiv.invFun",
      "Equiv.mk",
      "Equiv.refl",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "Equiv.toFun",
      "EquivLike.toFunLike",
      "Equivalence.refl",
      "Equivalence.symm",
      "Equivalence.trans",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.instIsLocalRing",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.card",
      "Finset.decidableMem",
      "Finset.instSetLike",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Homeomorph",
      "Homeomorph.mk",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.mul",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.inter",
      "IsClosed.isOpen_compl",
      "IsClosed.mk",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.of_isClosed_subset",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsLocalRing.toNontrivial",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.surjective",
      "LinearEquiv.toLinearMap",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.refl",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.trans",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.ker",
      "LinearMap.ker_zero",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.complexToReal",
      "Module.finrank",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.ofNat_pos._simp_1",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "Nonempty",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Order.Frame.toHeytingAlgebra",
      "OrderBot.toBot",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "PUnit.fintype",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.algebra",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.toNorm",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Relation.EqvGen",
      "Relation.EqvGen.rec",
      "Relation.EqvGen.rel",
      "Relation.EqvGen.setoid",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingCon.toCon",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.extremePoints",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.image_union",
      "Set.instBooleanAlgebra",
      "Set.instBoundedOrder",
      "Set.instCompl",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_image",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_sInter",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_union",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.preimage",
      "Set.preimage_union",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sInter",
      "Set.sInter_subset_of_mem",
      "Set.sUnion",
      "Set.subset_sUnion_of_mem",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.univ",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "Setoid",
      "Setoid.iseqv",
      "Setoid.r",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.ext",
      "Submodule.finiteDimensional_sup",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_singleton",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_le",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtypeL",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.forall",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.ofClosed",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "TwoSidedIdeal",
      "TwoSidedIdeal.coe_top",
      "TwoSidedIdeal.ext",
      "TwoSidedIdeal.instInfSet",
      "TwoSidedIdeal.instPartialOrder",
      "TwoSidedIdeal.instSemilatticeInf",
      "TwoSidedIdeal.instTop",
      "TwoSidedIdeal.ker",
      "TwoSidedIdeal.mem_iInf",
      "TwoSidedIdeal.mem_inf",
      "TwoSidedIdeal.mem_ker",
      "TwoSidedIdeal.mem_top",
      "TwoSidedIdeal.mul_mem_left",
      "TwoSidedIdeal.mul_mem_right",
      "TwoSidedIdeal.ringCon",
      "TwoSidedIdeal.setLike",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAddGroup",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instCompleteSpace",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarAddMonoid",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "Zero",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_comm",
      "add_le_add",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_nonneg",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "and_congr_right",
      "and_self",
      "binderNameHint",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_singleton",
      "commute_iff_eq",
      "compl_compl",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_const",
      "continuous_id",
      "continuous_id'",
      "continuous_iff_isClosed",
      "continuous_norm",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_self",
      "dist_zero_right",
      "dite",
      "div_eq_mul_inv",
      "div_le_one",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "iInf",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_le_left",
      "inf_le_right",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_eq_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "inv_smul_smul₀",
      "isClosed_biInter",
      "isClosed_eq",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_min",
      "le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_extremePoints_iff_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mt",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_le_of_le_one_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_one_smul",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "optParam",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorph": [
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.isClosed_iff",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "Compl.compl",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.exists_norm_eq_mul_self",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instCompleteSpace",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_I",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "Con.toSetoid",
      "ConditionallyCompleteLattice.toLattice",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Disjoint",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.subset",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Equiv",
      "Equiv.apply_symm_apply",
      "Equiv.instEquivLike",
      "Equiv.invFun",
      "Equiv.mk",
      "Equiv.ofBijective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "Equiv.toFun",
      "EquivLike.toFunLike",
      "Equivalence",
      "Equivalence.mk",
      "Equivalence.refl",
      "Equivalence.symm",
      "Equivalence.trans",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.instIsLocalRing",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.card",
      "Finset.decidableMem",
      "Finset.instSetLike",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Bijective",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasEquiv.Equiv",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Homeomorph",
      "Homeomorph.mk",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.mul",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.inter",
      "IsClosed.isOpen_compl",
      "IsClosed.mk",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.of_isClosed_subset",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsLocalRing.toNontrivial",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.surjective",
      "LinearEquiv.toLinearMap",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.refl",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.trans",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.ker",
      "LinearMap.ker_zero",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.complexToReal",
      "Module.finrank",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.ofNat_pos._simp_1",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "Nonempty",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Order.Frame.toHeytingAlgebra",
      "OrderBot.toBot",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "PUnit.fintype",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.algebra",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.toNorm",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "Quotient",
      "Quotient.inductionOn",
      "Quotient.inductionOn₂",
      "Quotient.lift",
      "Quotient.mk",
      "Quotient.sound",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Relation.EqvGen",
      "Relation.EqvGen.rec",
      "Relation.EqvGen.rel",
      "Relation.EqvGen.setoid",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingCon.toCon",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.extremePoints",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.image_empty",
      "Set.image_mono",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.image_union",
      "Set.instBooleanAlgebra",
      "Set.instBoundedOrder",
      "Set.instCompl",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_image",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_sInter",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_union",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.preimage",
      "Set.preimage_empty",
      "Set.preimage_union",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sInter",
      "Set.sInter_subset_of_mem",
      "Set.sUnion",
      "Set.subset_sUnion_of_mem",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.univ",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "Setoid",
      "Setoid.iseqv",
      "Setoid.mk",
      "Setoid.r",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.ext",
      "Submodule.finiteDimensional_sup",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_singleton",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_le",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtypeL",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.forall",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.ofClosed",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "TwoSidedIdeal",
      "TwoSidedIdeal.coe_top",
      "TwoSidedIdeal.ext",
      "TwoSidedIdeal.instInfSet",
      "TwoSidedIdeal.instPartialOrder",
      "TwoSidedIdeal.instSemilatticeInf",
      "TwoSidedIdeal.instTop",
      "TwoSidedIdeal.ker",
      "TwoSidedIdeal.mem_iInf",
      "TwoSidedIdeal.mem_inf",
      "TwoSidedIdeal.mem_ker",
      "TwoSidedIdeal.mem_top",
      "TwoSidedIdeal.mul_mem_left",
      "TwoSidedIdeal.mul_mem_right",
      "TwoSidedIdeal.ringCon",
      "TwoSidedIdeal.setLike",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAddGroup",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instCompleteSpace",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarAddMonoid",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "Zero",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_comm",
      "add_le_add",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_nonneg",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "and_congr_right",
      "and_self",
      "binderNameHint",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_singleton",
      "commute_iff_eq",
      "compl_compl",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_const",
      "continuous_id",
      "continuous_id'",
      "continuous_iff_isClosed",
      "continuous_norm",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_self",
      "dist_zero_right",
      "dite",
      "div_eq_mul_inv",
      "div_le_one",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "iInf",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_le_left",
      "inf_le_right",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_eq_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasEquivOfSetoid",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "inv_smul_smul₀",
      "isClosed_biInter",
      "isClosed_eq",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_min",
      "le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_extremePoints_iff_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mt",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_le_of_le_one_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_one_smul",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "optParam",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.imageGeometricStructureHomeomorph": [
      "Add.mk",
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.mk",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.mk",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.mk",
      "AddMonoid.nsmul_succ._autoParam",
      "AddMonoid.nsmul_zero._autoParam",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.isometry_of_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.mk",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bornology.cobounded",
      "Bornology.mk",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.instNonnegSpectrumClass'",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "Compl.compl",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "ConditionallyCompleteLattice.toLattice",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.mul",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Disjoint",
      "Dist.dist",
      "Dist.mk",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.mk",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "ENNReal.ofReal",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.subset",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Equiv",
      "Equiv.apply_symm_apply",
      "Equiv.injective",
      "Equiv.instEquivLike",
      "Equiv.invFun",
      "Equiv.left_inv",
      "Equiv.mk",
      "Equiv.ofBijective",
      "Equiv.refl",
      "Equiv.right_inv",
      "Equiv.surjective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "Equiv.toFun",
      "Equiv.trans",
      "EquivLike.toFunLike",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.cofinite",
      "Filter.comap",
      "Filter.instInfSet",
      "Filter.instPartialOrder",
      "Filter.lift'",
      "Filter.mp_mem",
      "Filter.principal",
      "Filter.sets",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.card",
      "Finset.decidableMem",
      "Finset.instSetLike",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Bijective",
      "Function.Injective",
      "Function.LeftInverse",
      "Function.RightInverse",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasQuotient.Quotient",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.mul",
      "Int.negOfNat",
      "Int.negSucc",
      "Int.ofNat",
      "Int.rawCast",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.inter",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.of_isClosed_subset",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.cfcₙ",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.mk",
      "LinearEquiv.refl",
      "LinearEquiv.surjective",
      "LinearEquiv.toLinearMap",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.mk",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.trans",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instFunLike",
      "LinearMap.instZero",
      "LinearMap.ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "LinearOrderedSemiField.toDenselyOrdered",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.mk",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module.complexToReal",
      "Module.finrank",
      "Module.mk",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "Mul.mk",
      "MulAction.mk",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.mk",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.norm_quasispectrum_le",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.left_distrib",
      "NonUnitalNonAssocRing.mk",
      "NonUnitalNonAssocRing.mul_zero",
      "NonUnitalNonAssocRing.right_distrib",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toMul",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.zero_mul",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.mk",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing",
      "NonUnitalRing.mk",
      "NonUnitalRing.mul_assoc",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.codRestrict",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mem_range",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.range",
      "NonUnitalStarAlgHom.rangeRestrict",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring",
      "Nonempty",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "NonnegSpectrumClass.quasispectrum_nonneg_of_nonneg",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.mk",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.dist_eq",
      "NormedAddCommGroup.dist_eq._autoParam",
      "NormedAddCommGroup.mk",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.mk",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Or",
      "Or.casesOn",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Order.Frame.toHeytingAlgebra",
      "OrderBot.toBot",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "PUnit.fintype",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.algebra",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.swap",
      "Prod.toNorm",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.cobounded_sets._autoParam",
      "PseudoMetricSpace.edist_dist._autoParam",
      "PseudoMetricSpace.mk",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "PseudoMetricSpace.uniformity_dist._autoParam",
      "Quotient",
      "Quotient.inductionOn",
      "Quotient.map'",
      "Quotient.mk",
      "Quotient.mk'",
      "Quotient.mk''",
      "QuotientModule.Quotient.topologicalSpace",
      "QuotientModule.Quotient.topologicalSpace._proof_1",
      "QuotientModule.Quotient.topologicalSpace._proof_2",
      "QuotientModule.Quotient.topologicalSpace._proof_3",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Real.sqrt_sq",
      "Relation.EqvGen.setoid",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingEquiv.mk",
      "RingEquiv.toEquiv",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMul.mk",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mk",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.eq_empty_iff_forall_notMem",
      "Set.eq_univ_iff_forall",
      "Set.ext",
      "Set.ext_iff",
      "Set.extremePoints",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.image_congr",
      "Set.image_empty",
      "Set.image_id",
      "Set.image_image",
      "Set.image_mono",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.instBoundedOrder",
      "Set.instCompl",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_insert",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_univ",
      "Set.preimage",
      "Set.preimage_empty",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sUnion",
      "Set.subset_sUnion_of_mem",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.univ",
      "SetLike.coe",
      "SetLike.instMembership",
      "SetRel.comp",
      "Setoid",
      "Setoid.r",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.mk",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv",
      "StarAlgEquiv.instEquivLike",
      "StarAlgEquiv.instFunLike",
      "StarAlgEquiv.instNonUnitalAlgEquivClass",
      "StarAlgEquiv.mk",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgEquiv.toStarRingEquiv",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingEquiv.mk",
      "StarRingEquiv.toRingEquiv",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "Sub.mk",
      "SubNegMonoid.mk",
      "SubNegMonoid.sub_eq_add_neg._autoParam",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegMonoid.zsmul_neg'._autoParam",
      "SubNegMonoid.zsmul_succ'._autoParam",
      "SubNegMonoid.zsmul_zero'._autoParam",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.Quotient.addCommGroup._aux_1",
      "Submodule.Quotient.addCommGroup._aux_3",
      "Submodule.Quotient.addCommGroup._aux_6",
      "Submodule.Quotient.addCommGroup._proof_10",
      "Submodule.Quotient.addCommGroup._proof_11",
      "Submodule.Quotient.addCommGroup._proof_12",
      "Submodule.Quotient.addCommGroup._proof_5",
      "Submodule.Quotient.addCommGroup._proof_8",
      "Submodule.Quotient.addCommGroup._proof_9",
      "Submodule.Quotient.addCommMonoid",
      "Submodule.Quotient.addMonoid._aux_1",
      "Submodule.Quotient.addMonoid._aux_6",
      "Submodule.Quotient.addMonoid._proof_3",
      "Submodule.Quotient.addMonoid._proof_4",
      "Submodule.Quotient.addMonoid._proof_5",
      "Submodule.Quotient.addMonoid._proof_8",
      "Submodule.Quotient.addMonoid._proof_9",
      "Submodule.Quotient.completeSpace",
      "Submodule.Quotient.distribMulAction'._proof_1",
      "Submodule.Quotient.distribMulAction'._proof_2",
      "Submodule.Quotient.eq",
      "Submodule.Quotient.instSMul'._proof_2",
      "Submodule.Quotient.instZeroQuotient",
      "Submodule.Quotient.mk",
      "Submodule.Quotient.mk_eq_zero",
      "Submodule.Quotient.module",
      "Submodule.Quotient.module'._proof_3",
      "Submodule.Quotient.module'._proof_4",
      "Submodule.Quotient.mulAction'._proof_1",
      "Submodule.Quotient.mulAction'._proof_2",
      "Submodule.Quotient.norm_mk_le",
      "Submodule.Quotient.norm_mk_lt",
      "Submodule.Quotient.normedAddCommGroup._proof_1",
      "Submodule.Quotient.normedAddCommGroup._proof_2",
      "Submodule.Quotient.normedSpace",
      "Submodule.Quotient.normedSpace._proof_1",
      "Submodule.Quotient.seminormedAddCommGroup",
      "Submodule.Quotient.seminormedAddCommGroup._aux_1",
      "Submodule.Quotient.seminormedAddCommGroup._aux_11",
      "Submodule.Quotient.seminormedAddCommGroup._aux_17",
      "Submodule.Quotient.seminormedAddCommGroup._aux_3",
      "Submodule.Quotient.seminormedAddCommGroup._aux_8",
      "Submodule.Quotient.seminormedAddCommGroup._proof_10",
      "Submodule.Quotient.seminormedAddCommGroup._proof_13",
      "Submodule.Quotient.seminormedAddCommGroup._proof_14",
      "Submodule.Quotient.seminormedAddCommGroup._proof_15",
      "Submodule.Quotient.seminormedAddCommGroup._proof_16",
      "Submodule.Quotient.seminormedAddCommGroup._proof_19",
      "Submodule.Quotient.seminormedAddCommGroup._proof_20",
      "Submodule.Quotient.seminormedAddCommGroup._proof_5",
      "Submodule.Quotient.seminormedAddCommGroup._proof_6",
      "Submodule.Quotient.seminormedAddCommGroup._proof_7",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.finiteDimensional_sup",
      "Submodule.hasQuotient",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.liftQL",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_orthogonal",
      "Submodule.mem_top",
      "Submodule.mk",
      "Submodule.mkQ",
      "Submodule.mkQL",
      "Submodule.mkQ_surjective",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.quotientRel",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtypeL",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "SubmoduleClass.toNormedSpace",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.mk",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.mk",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "Zero",
      "Zero.mk",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
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      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
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      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_le_add",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "and_self",
      "autoParam",
      "binderNameHint",
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      "cfc_comp",
      "cfc_congr",
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      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
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      "cfc_zero",
      "cfcₙ",
      "cfcₙ_add",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "cfcₙ_zero",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_singleton",
      "commute_iff_eq",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_const",
      "continuous_id",
      "continuous_id'",
      "continuous_norm",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_self",
      "dist_zero_right",
      "dite",
      "div_eq_mul_inv",
      "div_le_one",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_pow",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_true",
      "even_two_mul",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "iInf",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNatCastInt",
      "instNeZeroNatHAdd_1",
      "instNonUnitalAlgHomClassOfNonUnitalAlgEquivClass",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "isClosed_biInter",
      "isClosed_eq",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_max_right",
      "le_min",
      "le_of_eq",
      "le_of_forall_pos_le_add",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_extremePoints_iff_left",
      "min_eq_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "optParam",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "uniformity",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.irreducibleSpectrumHomeomorphOfGeometricStructure": [
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.isClosed_iff",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "Compl.compl",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.exists_norm_eq_mul_self",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instCompleteSpace",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_I",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "Con.toSetoid",
      "ConditionallyCompleteLattice.toLattice",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Disjoint",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.subset",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Equiv",
      "Equiv.apply_symm_apply",
      "Equiv.injective",
      "Equiv.instEquivLike",
      "Equiv.invFun",
      "Equiv.mk",
      "Equiv.ofBijective",
      "Equiv.surjective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "Equiv.toFun",
      "Equiv.trans",
      "EquivLike.toFunLike",
      "Equivalence",
      "Equivalence.mk",
      "Equivalence.refl",
      "Equivalence.symm",
      "Equivalence.trans",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.instIsLocalRing",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.card",
      "Finset.decidableMem",
      "Finset.instSetLike",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Bijective",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.LeftInverse",
      "Function.RightInverse",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasEquiv.Equiv",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Homeomorph",
      "Homeomorph.mk",
      "Homeomorph.symm",
      "Homeomorph.trans",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.mul",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.inter",
      "IsClosed.isOpen_compl",
      "IsClosed.mk",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.of_isClosed_subset",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsLocalRing.toNontrivial",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.surjective",
      "LinearEquiv.toLinearMap",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.refl",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.trans",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.ker",
      "LinearMap.ker_zero",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.complexToReal",
      "Module.finrank",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.ofNat_pos._simp_1",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "Nonempty",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Order.Frame.toHeytingAlgebra",
      "OrderBot.toBot",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "PUnit.fintype",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.algebra",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.toNorm",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "Quotient",
      "Quotient.inductionOn",
      "Quotient.inductionOn₂",
      "Quotient.lift",
      "Quotient.mk",
      "Quotient.sound",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Relation.EqvGen",
      "Relation.EqvGen.rec",
      "Relation.EqvGen.refl",
      "Relation.EqvGen.rel",
      "Relation.EqvGen.setoid",
      "Relation.EqvGen.symm",
      "Relation.EqvGen.trans",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingCon.toCon",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Finite",
      "Set.Finite.insert",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.empty_subset",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.extremePoints",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.image_congr",
      "Set.image_empty",
      "Set.image_image",
      "Set.image_mono",
      "Set.image_pair",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.image_union",
      "Set.instBooleanAlgebra",
      "Set.instBoundedOrder",
      "Set.instCompl",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_image",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_sInter",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_union",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.preimage",
      "Set.preimage_empty",
      "Set.preimage_union",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sInter",
      "Set.sInter_subset_of_mem",
      "Set.sUnion",
      "Set.subset_sUnion_of_mem",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.univ",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "Setoid",
      "Setoid.iseqv",
      "Setoid.mk",
      "Setoid.r",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.ext",
      "Submodule.finiteDimensional_sup",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_singleton",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_le",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtypeL",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.forall",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.ofClosed",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "TwoSidedIdeal",
      "TwoSidedIdeal.coe_top",
      "TwoSidedIdeal.ext",
      "TwoSidedIdeal.instInfSet",
      "TwoSidedIdeal.instPartialOrder",
      "TwoSidedIdeal.instSemilatticeInf",
      "TwoSidedIdeal.instTop",
      "TwoSidedIdeal.ker",
      "TwoSidedIdeal.mem_iInf",
      "TwoSidedIdeal.mem_inf",
      "TwoSidedIdeal.mem_ker",
      "TwoSidedIdeal.mem_top",
      "TwoSidedIdeal.mul_mem_left",
      "TwoSidedIdeal.mul_mem_right",
      "TwoSidedIdeal.ringCon",
      "TwoSidedIdeal.setLike",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAddGroup",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instCompleteSpace",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarAddMonoid",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "Zero",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_comm",
      "add_le_add",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_nonneg",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "and_congr_right",
      "and_self",
      "binderNameHint",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_singleton",
      "commute_iff_eq",
      "compl_compl",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_const",
      "continuous_id",
      "continuous_id'",
      "continuous_iff_isClosed",
      "continuous_norm",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_self",
      "dist_zero_right",
      "dite",
      "div_eq_mul_inv",
      "div_le_one",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "iInf",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_le_left",
      "inf_le_right",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_eq_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasEquivOfSetoid",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "inv_smul_smul₀",
      "isClosed_biInter",
      "isClosed_eq",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_min",
      "le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_extremePoints_iff_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mt",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_le_of_le_one_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_one_smul",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "optParam",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.normalPart": [
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommMonoid.toAddMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoidWithOne.toOne",
      "AddSemigroup.toAdd",
      "AddSubgroupClass",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "And",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarModule.toInner",
      "CommCStarAlgebra.toNormedCommRing",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommSemiring.toSemiring",
      "CompleteSpace",
      "Complex",
      "Complex.commRing",
      "Complex.instCommSemiring",
      "Complex.instDenselyNormedField",
      "Complex.instMul",
      "Complex.instNonUnitalCommRing",
      "Complex.instNorm",
      "Complex.instNormedField",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarRing",
      "Complex.instZero",
      "Complex.partialOrder",
      "ContinuousAdd",
      "ContinuousConstSMul",
      "ContinuousLinearMap",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "DFunLike.coe",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribSMul.toSMulZeroClass",
      "DivisionSemiring.toSemiring",
      "Eq",
      "Exists",
      "Field.toCommRing",
      "Field.toSemifield",
      "Inner.inner",
      "InnerProductSpace",
      "InnerProductSpace.toNormedSpace",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsScalarTower",
      "IsScalarTower.left",
      "IsTopologicalAddGroup",
      "LE.le",
      "Membership.mem",
      "Module.toDistribMulAction",
      "Monoid.toSemigroup",
      "MulAction.toSemigroupAction",
      "MulZeroClass.toZero",
      "Ne",
      "NegZeroClass.toZero",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NontriviallyNormedField.toNormedField",
      "Norm.norm",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedField.toField",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedSpace",
      "NormedRing.toRing",
      "NormedSpace",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "OfNat.ofNat",
      "One.toOfNat1",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.toDenselyNormedField",
      "RCLike.toNormedAlgebra",
      "Real",
      "Real.instLE",
      "Real.instOne",
      "Real.normedField",
      "Ring.toAddGroupWithOne",
      "Ring.toNonAssocRing",
      "Ring.toSemiring",
      "RingHom.id",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "SMulCommClass",
      "SMulMemClass",
      "SMulZeroClass.toSMul",
      "Semifield.toDivisionSemiring",
      "SemigroupAction.toSMul",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toNonAssocSemiring",
      "Set",
      "Set.instMembership",
      "SetLike.instMembership",
      "StrongDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubmoduleClass.toNormedSpace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.val",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace.toTopologicalSpace",
      "WithCStarModule.instCStarModuleComplex",
      "Zero.toOfNat0",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instCommCStarAlgebraComplex",
      "instMulZeroClassOfSemiring",
      "instSMulOfMul",
      "setOf",
      "smulCommClass_self"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.component_restrictedMatrixCoefficientKernel_eq_normalPart": [
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.mk'",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.exists_norm_eq_mul_self",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instCompleteSpace",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_I",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "ConditionallyCompleteLattice.toLattice",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Disjoint",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Equiv",
      "Equiv.instEquivLike",
      "EquivLike.toFunLike",
      "Equivalence.symm",
      "Equivalence.trans",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.instIsLocalRing",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.card",
      "Finset.decidableMem",
      "Finset.instSetLike",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.mul",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.inter",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.of_isClosed_subset",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsLocalRing.toNontrivial",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.surjective",
      "LinearEquiv.toLinearMap",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.refl",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.trans",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.ker",
      "LinearMap.ker_zero",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.complexToReal",
      "Module.finrank",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.ofNat_pos._simp_1",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiringClass",
      "Nonempty",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Order.Frame.toHeytingAlgebra",
      "OrderBot.toBot",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "PUnit.fintype",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.algebra",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.toNorm",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Relation.EqvGen",
      "Relation.EqvGen.rec",
      "Relation.EqvGen.rel",
      "Relation.EqvGen.setoid",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.extremePoints",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.image_singleton",
      "Set.instBoundedOrder",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.preimage",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sUnion",
      "Set.subset_sUnion_of_mem",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.univ",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "Setoid",
      "Setoid.iseqv",
      "Setoid.r",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.ext",
      "Submodule.finiteDimensional_sup",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_singleton",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_le",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtypeL",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "SubmoduleClass.toNormedSpace",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAddGroup",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instCompleteSpace",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarAddMonoid",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "Zero",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
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      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_comm",
      "add_le_add",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_nonneg",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "and_congr_right",
      "and_self",
      "binderNameHint",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_singleton",
      "commute_iff_eq",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_const",
      "continuous_id",
      "continuous_id'",
      "continuous_norm",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_self",
      "dist_zero_right",
      "dite",
      "div_eq_mul_inv",
      "div_le_one",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "inv_smul_smul₀",
      "isClosed_biInter",
      "isClosed_eq",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_min",
      "le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_extremePoints_iff_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mt",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_le_of_le_one_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_one_smul",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "optParam",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.normalPartProjectivizationEquiv": [
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.instFunLike",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "ConditionallyCompleteLattice.toLattice",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.opNorm_zero",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousLinearMapWOT",
      "ContinuousLinearMapWOT.continuous_dual_apply",
      "ContinuousLinearMapWOT.inducingFn",
      "ContinuousLinearMapWOT.instAddCommGroup",
      "ContinuousLinearMapWOT.instFunLike",
      "ContinuousLinearMapWOT.instModule",
      "ContinuousLinearMapWOT.instTopologicalSpace",
      "ContinuousLinearMapWOT.isInducing_inducingFn",
      "ContinuousLinearMapWOT.ofCLM",
      "ContinuousLinearMapWOT.toCLM",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Disjoint",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Equiv",
      "Equiv.instEquivLike",
      "Equiv.ofBijective",
      "EquivLike.toFunLike",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.Subtype.fintype",
      "Finset.card",
      "Finset.card_singleton",
      "Finset.decidableMem",
      "Finset.induction_on",
      "Finset.instEmptyCollection",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.instSingleton",
      "Finset.mem_insert",
      "Finset.mem_insert_of_mem",
      "Finset.mem_insert_self",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.notMem_empty._simp_1",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Finset.univ_unique",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "Fintype.sum_option",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.mul",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.inter",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.of_isClosed_subset",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsEmpty.forall_iff._simp_1",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.surjective",
      "LinearEquiv.toLinearMap",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instFunLike",
      "LinearMap.instZero",
      "LinearMap.ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.isOpen_iff",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.complexToReal",
      "Module.finrank",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Mul",
      "MulAction",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiringClass",
      "Nonempty",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Option",
      "Option.elim'",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Order.Frame.toHeytingAlgebra",
      "OrderBot.toBot",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "PUnit.fintype",
      "PUnit.instUnique",
      "PUnit.unit",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.Function.module",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "Pi.topologicalSpace",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.algebra",
      "Prod.ext",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.toNorm",
      "Projectivization",
      "Projectivization.mk",
      "Projectivization.mk_rep",
      "Projectivization.rep",
      "Projectivization.rep_nonzero",
      "Projectivization.submodule",
      "Projectivization.submodule_injective",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.ext",
      "Set.extremePoints",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.image_singleton",
      "Set.instBoundedOrder",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_iInter",
      "Set.mem_insert",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.pi",
      "Set.preimage",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sUnion",
      "Set.subset_sUnion_of_mem",
      "Set.toFinite",
      "Set.univ",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.ext",
      "Submodule.finiteDimensional_sup",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_singleton",
      "Submodule.mem_top",
      "Submodule.mk",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_le",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtypeL",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "SubmoduleClass.toNormedSpace",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.instDecidableEq",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Topology.IsInducing",
      "Topology.IsInducing.closure_eq_preimage_closure_image",
      "Topology.IsInducing.piMap",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "Zero",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
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      "abs_mul",
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      "abs_norm",
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      "abs_of_nonpos",
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      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
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      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
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      "add_pos_of_pos_of_nonneg",
      "add_right_inj._simp_1",
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      "add_zero",
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      "and_congr_right",
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      "binderNameHint",
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      "cfc_add",
      "cfc_comp",
      "cfc_congr",
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      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
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      "closure_convexHull_extremePoints",
      "closure_minimal",
      "closure_singleton",
      "commute_iff_eq",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_apply",
      "continuous_const",
      "continuous_finset_sum",
      "continuous_id",
      "continuous_id'",
      "continuous_norm",
      "continuous_pi",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
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      "dist_self",
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      "dite",
      "dite_cond_eq_true",
      "div_eq_mul_inv",
      "div_le_one",
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      "div_nonneg",
      "div_one",
      "div_pos",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_or",
      "forall_congr",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_ne_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFintypeOption",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsEmptyFalse",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulActionNatOfAddMonoid",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "inv_smul_smul₀",
      "isClosed_biInter",
      "isClosed_eq",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isOpen_pi_iff",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
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      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_min",
      "le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_closure_iff",
      "mem_extremePoints_iff_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_add_eq_zero",
      "neg_apply",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "optParam",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "sum_apply",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.normalPartSemilinearFiniteHomeomorph": [
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.toAddGroup._proof_6",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.coe_finsetSum",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "ConditionallyCompleteLattice.toLattice",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.sum_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousLinearMapWOT",
      "ContinuousLinearMapWOT.continuous_dual_apply",
      "ContinuousLinearMapWOT.inducingFn",
      "ContinuousLinearMapWOT.instAddCommGroup",
      "ContinuousLinearMapWOT.instFunLike",
      "ContinuousLinearMapWOT.instModule",
      "ContinuousLinearMapWOT.instTopologicalSpace",
      "ContinuousLinearMapWOT.isInducing_inducingFn",
      "ContinuousLinearMapWOT.ofCLM",
      "ContinuousLinearMapWOT.toCLM",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Disjoint",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Equiv",
      "Equiv.instEquivLike",
      "Equiv.invFun",
      "Equiv.mk",
      "Equiv.toFun",
      "EquivLike.toFunLike",
      "EuclideanSpace",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.Subtype.fintype",
      "Finset.card",
      "Finset.decidableMem",
      "Finset.induction_on",
      "Finset.instEmptyCollection",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.mem_insert",
      "Finset.mem_insert_of_mem",
      "Finset.mem_insert_self",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.notMem_empty._simp_1",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.smul_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_comm",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_eq_zero",
      "Finset.sum_ite_eq",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.sum_smul",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "Fintype.sum_option",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "Function.hasSMul",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasQuotient.Quotient",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.mul",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.inter",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.of_isClosed_subset",
      "IsConcreteLE",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsEmpty.forall_iff._simp_1",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.apply_symm_apply",
      "LinearEquiv.injective",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.instSemilinearEquivClass",
      "LinearEquiv.surjective",
      "LinearEquiv.symm",
      "LinearEquiv.symm_apply_apply",
      "LinearEquiv.toLinearMap",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.addCommMonoid",
      "LinearMap.coe_sum",
      "LinearMap.comp",
      "LinearMap.congr_fun",
      "LinearMap.exists_extend",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instZero",
      "LinearMap.ker",
      "LinearMap.ker_pi",
      "LinearMap.mem_ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.pi",
      "LinearMap.quotKerEquivRange",
      "LinearMap.quotKerEquivRange_symm_apply_image",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.sum_apply",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Matrix.of",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.isOpen_iff",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.complexToReal",
      "Module.finrank",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionSemiHomClass.map_smulₛₗ",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiringClass",
      "Nonempty",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Option",
      "Option.elim'",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Order.Frame.toHeytingAlgebra",
      "OrderBot.toBot",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.repr",
      "OrthonormalBasis.repr_apply_apply",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "OrthonormalBasis.sum_repr",
      "PUnit.fintype",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.Function.module",
      "Pi.addCommGroup",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instSMul",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_apply",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "Pi.topologicalSpace",
      "PiLp.innerProductSpace._proof_1",
      "PiLp.seminormedAddCommGroup",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.algebra",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.toNorm",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearEquivClass.instSemilinearMapClass",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Finite",
      "Set.Finite.fintype",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.extremePoints",
      "Set.finite_range",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.image_empty",
      "Set.image_mono",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.instBoundedOrder",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_insert",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_range_self",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_univ",
      "Set.pi",
      "Set.preimage",
      "Set.preimage_empty",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sUnion",
      "Set.subset_sUnion_of_mem",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.univ",
      "SetLike",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "SetLike.le_def",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.Quotient.addCommMonoid",
      "Submodule.Quotient.module",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.addSubgroupClass",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.ext",
      "Submodule.finiteDimensional_sup",
      "Submodule.hasQuotient",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instInfSet",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.liftQ",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_iInf",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_range_iff_exists_fun",
      "Submodule.mem_top",
      "Submodule.mk",
      "Submodule.mkQ",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "Submodule.subtypeL",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "SubmoduleClass.toNormedSpace",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.instDecidableEq",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Topology.IsInducing",
      "Topology.IsInducing.closure_eq_preimage_closure_image",
      "Topology.IsInducing.piMap",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "WithLp.instModule",
      "WithLp.ofLp",
      "Zero",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
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      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_assoc",
      "add_le_add",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_inj._simp_1",
      "add_smul",
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      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
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      "and_self",
      "binderNameHint",
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      "cfc_congr",
      "cfc_const",
      "cfc_id",
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      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_minimal",
      "closure_singleton",
      "commute_iff_eq",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_apply",
      "continuous_const",
      "continuous_finset_sum",
      "continuous_id",
      "continuous_id'",
      "continuous_norm",
      "continuous_pi",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_self",
      "dist_zero_right",
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      "dite_cond_eq_true",
      "div_eq_mul_inv",
      "div_le_one",
      "div_mul_cancel₀",
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      "div_pos",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_true",
      "even_two_mul",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "forall_const",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "iInf",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_sum",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFintypeOption",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInhabitedPUnit",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsConcreteLE",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsEmptyFalse",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "isClosed_biInter",
      "isClosed_eq",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isOpen_pi_iff",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_min",
      "le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_closure_iff",
      "mem_extremePoints_iff_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_apply",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "optParam",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
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      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_sum",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
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      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "sum_apply",
      "sum_inner",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_iff": [
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.toAddGroup._proof_6",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.coe_finsetSum",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_imp._simp_2",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "ConditionallyCompleteLattice.toLattice",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearEquiv.toLinearEquiv",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.sum_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousLinearMapWOT",
      "ContinuousLinearMapWOT.continuous_dual_apply",
      "ContinuousLinearMapWOT.inducingFn",
      "ContinuousLinearMapWOT.instAddCommGroup",
      "ContinuousLinearMapWOT.instFunLike",
      "ContinuousLinearMapWOT.instModule",
      "ContinuousLinearMapWOT.instTopologicalSpace",
      "ContinuousLinearMapWOT.isInducing_inducingFn",
      "ContinuousLinearMapWOT.ofCLM",
      "ContinuousLinearMapWOT.toCLM",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Disjoint",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Equiv",
      "Equiv.apply_symm_apply",
      "Equiv.instEquivLike",
      "Equiv.mk",
      "Equiv.symm",
      "EquivLike.toFunLike",
      "EuclideanSpace",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.Subtype.fintype",
      "Finset.card",
      "Finset.decidableMem",
      "Finset.induction_on",
      "Finset.instEmptyCollection",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.mem_insert",
      "Finset.mem_insert_of_mem",
      "Finset.mem_insert_self",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.notMem_empty._simp_1",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.smul_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_comm",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_eq_zero",
      "Finset.sum_ite_eq",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.sum_smul",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "Fintype.sum_option",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "Function.hasSMul",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasQuotient.Quotient",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.mul",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.inter",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.of_isClosed_subset",
      "IsConcreteLE",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsEmpty.forall_iff._simp_1",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.apply_symm_apply",
      "LinearEquiv.injective",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.instSemilinearEquivClass",
      "LinearEquiv.surjective",
      "LinearEquiv.symm",
      "LinearEquiv.symm_apply_apply",
      "LinearEquiv.toLinearMap",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.addCommMonoid",
      "LinearMap.coe_sum",
      "LinearMap.comp",
      "LinearMap.congr_fun",
      "LinearMap.exists_extend",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instZero",
      "LinearMap.ker",
      "LinearMap.ker_pi",
      "LinearMap.mem_ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.pi",
      "LinearMap.quotKerEquivRange",
      "LinearMap.quotKerEquivRange_symm_apply_image",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.sum_apply",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Push.not_forall_eq",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Matrix.of",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.isOpen_iff",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.complexToReal",
      "Module.finrank",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionSemiHomClass.map_smulₛₗ",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebra.toNonUnitalSubalgebra",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebra.toSubmodule",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiringClass",
      "Nonempty",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Option",
      "Option.elim'",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Or.resolve_right",
      "Order.Frame.toHeytingAlgebra",
      "OrderBot.toBot",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.repr",
      "OrthonormalBasis.repr_apply_apply",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "OrthonormalBasis.sum_repr",
      "PUnit.fintype",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.Function.module",
      "Pi.addCommGroup",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instSMul",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_apply",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "Pi.topologicalSpace",
      "PiLp.innerProductSpace._proof_1",
      "PiLp.seminormedAddCommGroup",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.algebra",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.toNorm",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toDecidableEq",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.comp_apply_eq",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulMemClass.smul_mem",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearEquivClass.instSemilinearMapClass",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.extremePoints",
      "Set.finite_range",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.image_empty",
      "Set.image_mono",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.instBoundedOrder",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_insert",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_range_self",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_univ",
      "Set.pi",
      "Set.preimage",
      "Set.preimage_empty",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sUnion",
      "Set.subset_sUnion_of_mem",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.univ",
      "SetLike",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "SetLike.le_def",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.Quotient.addCommMonoid",
      "Submodule.Quotient.module",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.addSubgroupClass",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.ext",
      "Submodule.finiteDimensional_sup",
      "Submodule.hasQuotient",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instInfSet",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.liftQ",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_iInf",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_range_iff_exists_fun",
      "Submodule.mem_top",
      "Submodule.mk",
      "Submodule.mkQ",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "Submodule.subtypeL",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submodule.zero_mem",
      "SubmoduleClass.toNormedSpace",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.instDecidableEq",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Topology.IsInducing",
      "Topology.IsInducing.closure_eq_preimage_closure_image",
      "Topology.IsInducing.piMap",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "WithLp.instModule",
      "WithLp.ofLp",
      "Zero",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.coe_eq_zero._simp_1",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_assoc",
      "add_le_add",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_cancel",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "and_self",
      "binderNameHint",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_minimal",
      "closure_singleton",
      "commute_iff_eq",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_apply",
      "continuous_const",
      "continuous_finset_sum",
      "continuous_id",
      "continuous_id'",
      "continuous_norm",
      "continuous_pi",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_self",
      "dist_zero_right",
      "dite",
      "dite_cond_eq_true",
      "div_eq_mul_inv",
      "div_le_one",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_true",
      "even_two_mul",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "forall_const",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "iInf",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_eq_zero_symm",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_eq_zero",
      "inner_self_ne_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_sum",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFintypeOption",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInhabitedPUnit",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsConcreteLE",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsEmptyFalse",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "isClosed_biInter",
      "isClosed_eq",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isOpen_pi_iff",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_min",
      "le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_closure_iff",
      "mem_extremePoints_iff_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_apply",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "optParam",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_sum",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "sum_apply",
      "sum_inner",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.continuous_normalPartLinearMap_and_inverse_iff": [
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.toAddGroup._proof_6",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.coe_finsetSum",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_imp._simp_2",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "ConditionallyCompleteLattice.toLattice",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv",
      "ContinuousLinearEquiv.symm",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearEquiv.toLinearEquiv",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.sum_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousLinearMapWOT",
      "ContinuousLinearMapWOT.continuous_dual_apply",
      "ContinuousLinearMapWOT.inducingFn",
      "ContinuousLinearMapWOT.instAddCommGroup",
      "ContinuousLinearMapWOT.instFunLike",
      "ContinuousLinearMapWOT.instModule",
      "ContinuousLinearMapWOT.instTopologicalSpace",
      "ContinuousLinearMapWOT.isInducing_inducingFn",
      "ContinuousLinearMapWOT.ofCLM",
      "ContinuousLinearMapWOT.toCLM",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Disjoint",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Equiv",
      "Equiv.apply_symm_apply",
      "Equiv.instEquivLike",
      "Equiv.mk",
      "Equiv.symm",
      "EquivLike.toFunLike",
      "EuclideanSpace",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.Subtype.fintype",
      "Finset.card",
      "Finset.decidableMem",
      "Finset.induction_on",
      "Finset.instEmptyCollection",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.mem_insert",
      "Finset.mem_insert_of_mem",
      "Finset.mem_insert_self",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.notMem_empty._simp_1",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.smul_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_comm",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_eq_zero",
      "Finset.sum_ite_eq",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.sum_smul",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "Fintype.sum_option",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.LeftInverse",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "Function.hasSMul",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasQuotient.Quotient",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.mul",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.inter",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.of_isClosed_subset",
      "IsConcreteLE",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsEmpty.forall_iff._simp_1",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.apply_symm_apply",
      "LinearEquiv.injective",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.instSemilinearEquivClass",
      "LinearEquiv.surjective",
      "LinearEquiv.symm",
      "LinearEquiv.symm_apply_apply",
      "LinearEquiv.toLinearMap",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.addCommMonoid",
      "LinearMap.coe_sum",
      "LinearMap.comp",
      "LinearMap.congr_fun",
      "LinearMap.exists_extend",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instZero",
      "LinearMap.ker",
      "LinearMap.ker_pi",
      "LinearMap.mem_ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.pi",
      "LinearMap.quotKerEquivRange",
      "LinearMap.quotKerEquivRange_symm_apply_image",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.sum_apply",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Push.not_forall_eq",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Matrix.of",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.isOpen_iff",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.complexToReal",
      "Module.finrank",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionSemiHomClass.map_smulₛₗ",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebra.toNonUnitalSubalgebra",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebra.toSubmodule",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiringClass",
      "Nonempty",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Option",
      "Option.elim'",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Or.resolve_right",
      "Order.Frame.toHeytingAlgebra",
      "OrderBot.toBot",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.repr",
      "OrthonormalBasis.repr_apply_apply",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "OrthonormalBasis.sum_repr",
      "PUnit.fintype",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.Function.module",
      "Pi.addCommGroup",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instSMul",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_apply",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "Pi.topologicalSpace",
      "PiLp.innerProductSpace._proof_1",
      "PiLp.seminormedAddCommGroup",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.algebra",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.toNorm",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toDecidableEq",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.comp_apply_eq",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulMemClass.smul_mem",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearEquivClass.instSemilinearMapClass",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.extremePoints",
      "Set.finite_range",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.image_empty",
      "Set.image_mono",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.instBoundedOrder",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_insert",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_range_self",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_univ",
      "Set.pi",
      "Set.preimage",
      "Set.preimage_empty",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sUnion",
      "Set.subset_sUnion_of_mem",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.univ",
      "SetLike",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "SetLike.le_def",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.Quotient.addCommMonoid",
      "Submodule.Quotient.module",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.addSubgroupClass",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.ext",
      "Submodule.finiteDimensional_sup",
      "Submodule.hasQuotient",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instInfSet",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.liftQ",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_iInf",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_range_iff_exists_fun",
      "Submodule.mem_top",
      "Submodule.mk",
      "Submodule.mkQ",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "Submodule.subtypeL",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submodule.zero_mem",
      "SubmoduleClass.toNormedSpace",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.instDecidableEq",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Topology.IsInducing",
      "Topology.IsInducing.closure_eq_preimage_closure_image",
      "Topology.IsInducing.piMap",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "WithLp.instModule",
      "WithLp.ofLp",
      "Zero",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.coe_eq_zero._simp_1",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_assoc",
      "add_le_add",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_cancel",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "and_self",
      "binderNameHint",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_minimal",
      "closure_singleton",
      "commute_iff_eq",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_apply",
      "continuous_const",
      "continuous_finset_sum",
      "continuous_id",
      "continuous_id'",
      "continuous_norm",
      "continuous_pi",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_self",
      "dist_zero_right",
      "dite",
      "dite_cond_eq_true",
      "div_eq_mul_inv",
      "div_le_one",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_true",
      "even_two_mul",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "forall_const",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "iInf",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_eq_zero_symm",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_eq_zero",
      "inner_self_ne_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_sum",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFintypeOption",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInhabitedPUnit",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsConcreteLE",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsEmptyFalse",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "isClosed_biInter",
      "isClosed_eq",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isOpen_pi_iff",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_min",
      "le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_closure_iff",
      "mem_extremePoints_iff_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_apply",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "optParam",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_sum",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "sum_apply",
      "sum_inner",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.linked_normalPartPoint_iff_span_eq_or_span_eq": [
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "ConditionallyCompleteLattice.toLattice",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.opNorm_zero",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousLinearMapWOT",
      "ContinuousLinearMapWOT.continuous_dual_apply",
      "ContinuousLinearMapWOT.inducingFn",
      "ContinuousLinearMapWOT.instAddCommGroup",
      "ContinuousLinearMapWOT.instFunLike",
      "ContinuousLinearMapWOT.instModule",
      "ContinuousLinearMapWOT.instTopologicalSpace",
      "ContinuousLinearMapWOT.isInducing_inducingFn",
      "ContinuousLinearMapWOT.ofCLM",
      "ContinuousLinearMapWOT.toCLM",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Disjoint",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Equiv",
      "Equiv.instEquivLike",
      "EquivLike.toFunLike",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.Subtype.fintype",
      "Finset.card",
      "Finset.card_singleton",
      "Finset.decidableMem",
      "Finset.induction_on",
      "Finset.instEmptyCollection",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.instSingleton",
      "Finset.mem_insert",
      "Finset.mem_insert_of_mem",
      "Finset.mem_insert_self",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.notMem_empty._simp_1",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Finset.univ_unique",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "Fintype.sum_option",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.mul",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.inter",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.of_isClosed_subset",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsEmpty.forall_iff._simp_1",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.surjective",
      "LinearEquiv.toLinearMap",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.ker",
      "LinearMap.ker_zero",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Matrix.cons_val_fin_one",
      "Matrix.vecCons",
      "Matrix.vecEmpty",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.isOpen_iff",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.complexToReal",
      "Module.finrank",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "MulAction",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.toAddSubmonoidClass",
      "NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring",
      "Nonempty",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Option",
      "Option.elim'",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Order.Frame.toHeytingAlgebra",
      "OrderBot.toBot",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "PUnit.fintype",
      "PUnit.instUnique",
      "PUnit.unit",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.Function.module",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "Pi.topologicalSpace",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.algebra",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.toNorm",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toDecidableEq",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.extremePoints",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.image_empty",
      "Set.image_mono",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.instBoundedOrder",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.pi",
      "Set.preimage",
      "Set.preimage_empty",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sUnion",
      "Set.subset_sUnion_of_mem",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.univ",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.exists_le_ker_of_notMem",
      "Submodule.ext",
      "Submodule.finiteDimensional_sup",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_singleton",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_le",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtypeL",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "SubmoduleClass.module",
      "SubmoduleClass.toNormedSpace",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.instDecidableEq",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Topology.IsInducing",
      "Topology.IsInducing.closure_eq_preimage_closure_image",
      "Topology.IsInducing.piMap",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
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      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
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      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
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      "UniformSpace.Completion.instMetricSpace",
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      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
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      "UniformSpace.toTopologicalSpace",
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      "Unit.unit",
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      "Unitary.coe_star",
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      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
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      "Unitary.star_mul_self",
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      "Unitization.continuous_inr",
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      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
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      "Unitization.inr_nonneg_iff",
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      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAlgebra",
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      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
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      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
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      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
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      "WeakDual.toStrongDual",
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      "Zero",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
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      "abs_one",
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      "add_lt_add",
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      "add_right_inj._simp_1",
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      "add_sub_cancel_left",
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      "cfc_mul",
      "cfc_real_eq_complex",
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      "cfc_zero",
      "cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
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      "cfcₙ_nonneg",
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      "closure_convexHull_extremePoints",
      "closure_minimal",
      "closure_singleton",
      "commute_iff_eq",
      "complete_of_proper",
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      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_apply",
      "continuous_const",
      "continuous_finset_sum",
      "continuous_id",
      "continuous_id'",
      "continuous_norm",
      "continuous_pi",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
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      "dist_zero_right",
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      "dite_cond_eq_true",
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      "div_pos",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
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      "eq_true",
      "even_two_mul",
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      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_ne_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDecidableOr",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFintypeOption",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsEmptyFalse",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulActionNatOfAddMonoid",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
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      "inv_smul_smul₀",
      "isClosed_biInter",
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      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isOpen_pi_iff",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
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      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
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      "ite_cond_eq_true",
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      "ite_self",
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      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_min",
      "le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_div₀",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_closure_iff",
      "mem_extremePoints_iff_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_add_eq_zero",
      "neg_apply",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_or",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "optParam",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_div₀",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
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      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "sum_apply",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
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      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.toZeroMemClass",
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      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choice",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_imp._simp_2",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "ConditionallyCompleteLattice.toLattice",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.opNorm_zero",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousLinearMapWOT",
      "ContinuousLinearMapWOT.continuous_dual_apply",
      "ContinuousLinearMapWOT.inducingFn",
      "ContinuousLinearMapWOT.instAddCommGroup",
      "ContinuousLinearMapWOT.instFunLike",
      "ContinuousLinearMapWOT.instModule",
      "ContinuousLinearMapWOT.instTopologicalSpace",
      "ContinuousLinearMapWOT.isInducing_inducingFn",
      "ContinuousLinearMapWOT.ofCLM",
      "ContinuousLinearMapWOT.toCLM",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Disjoint",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Equiv",
      "Equiv.apply_symm_apply",
      "Equiv.instEquivLike",
      "Equiv.ofBijective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "EquivLike.toFunLike",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.Subtype.fintype",
      "Finset.card",
      "Finset.card_singleton",
      "Finset.decidableMem",
      "Finset.induction_on",
      "Finset.instEmptyCollection",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.instSingleton",
      "Finset.mem_insert",
      "Finset.mem_insert_of_mem",
      "Finset.mem_insert_self",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.notMem_empty._simp_1",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Finset.univ_unique",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "Fintype.sum_option",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.antisymm",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.mul",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.inter",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.of_isClosed_subset",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsEmpty.forall_iff._simp_1",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.surjective",
      "LinearEquiv.toLinearMap",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.ker",
      "LinearMap.ker_zero",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Push.not_forall_eq",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Matrix.cons_val_fin_one",
      "Matrix.vecCons",
      "Matrix.vecEmpty",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.isOpen_iff",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.complexToReal",
      "Module.finrank",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "MulAction",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.toAddSubmonoidClass",
      "NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring",
      "Nonempty",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Option",
      "Option.elim'",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Or.resolve_right",
      "Order.Frame.toHeytingAlgebra",
      "OrderBot.toBot",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "PUnit.fintype",
      "PUnit.instUnique",
      "PUnit.unit",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.Function.module",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "Pi.topologicalSpace",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.algebra",
      "Prod.ext",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.toNorm",
      "Projectivization",
      "Projectivization.instNonemptyOfNontrivial",
      "Projectivization.mk",
      "Projectivization.mk_rep",
      "Projectivization.rep",
      "Projectivization.rep_nonzero",
      "Projectivization.submodule",
      "Projectivization.submodule_eq",
      "Projectivization.submodule_injective",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toDecidableEq",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.empty_subset",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.extremePoints",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.image_empty",
      "Set.image_mono",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.instAntisymmSubset",
      "Set.instBoundedOrder",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.not_nonempty_iff_eq_empty",
      "Set.pi",
      "Set.preimage",
      "Set.preimage_empty",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sUnion",
      "Set.subset_sUnion_of_mem",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.univ",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.exists_le_ker_of_notMem",
      "Submodule.ext",
      "Submodule.finiteDimensional_sup",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_singleton",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_le",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtypeL",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "SubmoduleClass.module",
      "SubmoduleClass.toNormedSpace",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.instDecidableEq",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Topology.IsInducing",
      "Topology.IsInducing.closure_eq_preimage_closure_image",
      "Topology.IsInducing.piMap",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "Zero",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_le_add",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "and_congr_right",
      "and_self",
      "binderNameHint",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_minimal",
      "closure_singleton",
      "commute_iff_eq",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_apply",
      "continuous_const",
      "continuous_finset_sum",
      "continuous_id",
      "continuous_id'",
      "continuous_norm",
      "continuous_pi",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_self",
      "dist_zero_right",
      "dite",
      "dite_cond_eq_true",
      "div_eq_mul_inv",
      "div_le_one",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_ne_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDecidableOr",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFintypeOption",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsEmptyFalse",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulActionNatOfAddMonoid",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "inv_smul_smul₀",
      "isClosed_biInter",
      "isClosed_eq",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isOpen_pi_iff",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_min",
      "le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_div₀",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_closure_iff",
      "mem_extremePoints_iff_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_add_eq_zero",
      "neg_apply",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_or",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "optParam",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_div₀",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "sum_apply",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "Projectivization.exists_semilinearEquiv_of_finite_span": [
      "AddCancelCommMonoid.toAddLeftCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.toAddCancelCommMonoid",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommMagma.toAdd",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddHom.mk",
      "AddLeftCancelMonoid.toAddLeftCancelSemigroup",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toOne",
      "AddSemigroup.toAdd",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "Algebra.id",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.true",
      "BoundedOrder.toOrderTop",
      "Cardinal",
      "Cardinal.instLE",
      "Cardinal.instNatCast",
      "Cardinal.lift",
      "Cardinal.lift_mk_le'",
      "Cardinal.lift_ofNat",
      "Cardinal.lift_uzero",
      "Cardinal.mk",
      "Cardinal.mk_fintype",
      "Classical.byContradiction",
      "Classical.not_not",
      "Classical.propDecidable",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring.toSemiring",
      "Compl.compl",
      "CompleteLattice.toBoundedOrder",
      "CompleteLattice.toCompleteSemilatticeSup",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteLattice.toLattice",
      "CompleteSemilatticeSup.toSupSet",
      "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
      "ConditionallyCompleteLattice.toLattice",
      "ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup",
      "ConditionallyCompletePartialOrderSup.toSupSet",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.isSimpleRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toSemiring",
      "Eq",
      "Eq.ge",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "Equiv",
      "Equiv.apply_symm_apply",
      "Equiv.injective",
      "Equiv.instEquivLike",
      "Equiv.mk",
      "Equiv.ofBijective",
      "Equiv.surjective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "EquivLike.toFunLike",
      "EuclideanDomain.toNontrivial",
      "EuclideanDomain.to_principal_ideal_domain",
      "Exists",
      "Exists.casesOn",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toEuclideanDomain",
      "Field.toSemifield",
      "Fin",
      "Fin.fintype",
      "Fin.instOfNat",
      "Finset",
      "Finset.instSetLike",
      "Finsupp",
      "Finsupp.ext",
      "Finsupp.instAdd",
      "Finsupp.instAddCommGroup",
      "Finsupp.instAddCommMonoid",
      "Finsupp.instFunLike",
      "Finsupp.instSub",
      "Finsupp.instZero",
      "Finsupp.linearCombination",
      "Finsupp.mapRange",
      "Finsupp.mapRange.congr_simp",
      "Finsupp.mapRange_mapRange",
      "Finsupp.mapRange_mapRange._proof_1",
      "Finsupp.mem_support_iff",
      "Finsupp.module",
      "Finsupp.single",
      "Finsupp.single_eq_of_ne",
      "Finsupp.single_eq_same",
      "Finsupp.single_sub",
      "Finsupp.smulZeroClass",
      "Finsupp.smul_single",
      "Finsupp.support",
      "Fintype.card",
      "Fintype.card_fin",
      "Function.Embedding",
      "Function.Embedding.injective",
      "Function.Injective",
      "Function.Injective.ne",
      "Function.Surjective",
      "Function.comp",
      "Function.instFunLikeEmbedding",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasSubset.Subset",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.of_eq",
      "Iff.rfl",
      "Iff.symm",
      "Insert.insert",
      "Int",
      "Int.instAdd",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsDomain.toIsCancelMulZero",
      "IsNoetherianRing.strongRankCondition",
      "IsSimpleRing.instNontrivial",
      "LE.le",
      "LE.le.trans_eq",
      "Lattice.toSemilatticeSup",
      "LinearEquiv",
      "LinearEquiv.injective",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.instSemilinearEquivClass",
      "LinearEquiv.map_smulₛₗ",
      "LinearEquiv.mk",
      "LinearEquiv.symm",
      "LinearIndependent",
      "LinearMap",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.ker",
      "LinearMap.mk",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.of_eq",
      "Max.max",
      "Membership.mem",
      "Module",
      "Module.Basis",
      "Module.Basis.coord",
      "Module.Basis.instFunLike",
      "Module.Basis.linearIndependent",
      "Module.Basis.mem_span_image",
      "Module.Basis.mk",
      "Module.Basis.mk_apply",
      "Module.Basis.ne_zero",
      "Module.Basis.repr",
      "Module.Basis.repr_linearCombination",
      "Module.Basis.repr_self",
      "Module.Basis.repr_symm_apply",
      "Module.Basis.span_eq",
      "Module.Basis.unitsSMul",
      "Module.Basis.unitsSMul_apply",
      "Module.Free.ChooseBasisIndex",
      "Module.Free.chooseBasis",
      "Module.Free.of_divisionRing",
      "Module.Free.rank_eq_card_chooseBasisIndex",
      "Module.rank",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid.toPow",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "Nat",
      "Nat.cast",
      "Nat.cast_one",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCommSemiring",
      "Nat.instNeZeroSucc",
      "Nat.rawCast",
      "Ne",
      "Ne.symm",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalRingHomClass.toMulHomClass",
      "Nonempty",
      "Nonempty.casesOn",
      "Not",
      "OfNat.ofNat",
      "One.toOfNat1",
      "Or",
      "Or.casesOn",
      "OrderIso",
      "OrderIso.apply_symm_apply",
      "OrderIso.injective",
      "OrderIso.map_iSup",
      "OrderIso.map_sup",
      "OrderIso.map_top",
      "OrderIso.monotone",
      "OrderIso.symm_apply_apply",
      "OrderIso.trans",
      "OrderTop.toTop",
      "PartialOrder.toPreorder",
      "Pi.instAdd",
      "Pi.instSub",
      "Preorder.toLE",
      "PrincipalIdealRing.isNoetherianRing",
      "Prod",
      "Prod.fst",
      "Prod.mk",
      "Prod.snd",
      "Projectivization",
      "Projectivization.Independent",
      "Projectivization.Independent.mk",
      "Projectivization.Subspace",
      "Projectivization.Subspace.instCompleteLattice",
      "Projectivization.Subspace.instPartialOrder",
      "Projectivization.Subspace.instSetLike",
      "Projectivization.Subspace.mem_add",
      "Projectivization.Subspace.mem_submodule_iff",
      "Projectivization.Subspace.mk",
      "Projectivization.Subspace.span",
      "Projectivization.Subspace.spanCarrier",
      "Projectivization.Subspace.spanCarrier.rec",
      "Projectivization.Subspace.span_coe",
      "Projectivization.Subspace.span_le_span",
      "Projectivization.Subspace.span_le_subspace_iff",
      "Projectivization.Subspace.submodule",
      "Projectivization.Subspace.subset_span",
      "Projectivization.independent_iff",
      "Projectivization.independent_iff_iSupIndep",
      "Projectivization.mk",
      "Projectivization.mk.congr_simp",
      "Projectivization.mk_eq_mk_iff'",
      "Projectivization.mk_rep",
      "Projectivization.rep",
      "Projectivization.rep_nonzero",
      "Projectivization.submodule",
      "Projectivization.submodule_eq",
      "Projectivization.submodule_mk",
      "RelIso.mk",
      "RelIso.toEquiv",
      "Ring",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toNonAssocRing",
      "Ring.toSemiring",
      "RingEquiv",
      "RingEquiv.apply_symm_apply",
      "RingEquiv.instEquivLike",
      "RingEquiv.instRingEquivClass",
      "RingEquiv.map_zero",
      "RingEquiv.mk",
      "RingEquiv.symm",
      "RingEquiv.symm_apply_apply",
      "RingEquiv.toRingHom",
      "RingEquivClass.toNonUnitalRingHomClass",
      "RingEquivClass.toRingHomClass",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toRingHom",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.of_ringEquiv",
      "RingHomInvPair.of_ringEquiv_symm",
      "SMulCommClass",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearEquivClass.instSemilinearMapClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNonAssocSemiring",
      "Set",
      "Set.Finite",
      "Set.Finite.image",
      "Set.Finite.union",
      "Set.ext",
      "Set.finite_singleton",
      "Set.image",
      "Set.image_mono",
      "Set.image_singleton",
      "Set.instCompl",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instMembership",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.mem_compl_iff",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_range_self",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.preimage",
      "Set.range",
      "Set.singleton_subset_iff",
      "Set.subset_union_left",
      "Set.subset_union_right",
      "Set.union_subset",
      "SetLike",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "SetLike.mem_coe",
      "Singleton.singleton",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "Submodule",
      "Submodule.add_mem",
      "Submodule.completeLattice",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.mem_span_singleton",
      "Submodule.mem_span_singleton_self",
      "Submodule.mem_sup",
      "Submodule.mk_mem_projectivization_iff",
      "Submodule.projectivization",
      "Submodule.setLike",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_eq_iSup_of_singleton_spans",
      "Submodule.span_le",
      "Submodule.span_singleton_le_iff_mem",
      "Submodule.sub_mem",
      "Submodule.subset_span",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Top.top",
      "Trans.trans",
      "True",
      "Union.union",
      "Units",
      "Units.instMonoid",
      "Units.instMulAction",
      "Units.instOne",
      "Units.instSMul",
      "Units.mk0",
      "Units.val",
      "Zero.toOfNat0",
      "add_assoc",
      "add_comm",
      "add_left_cancel",
      "add_left_comm",
      "add_neg_cancel",
      "add_neg_cancel_comm_assoc",
      "add_smul",
      "add_sub_cancel_left",
      "add_zero",
      "congr",
      "congrArg",
      "congrFun'",
      "congr_arg₂",
      "dite",
      "dite_cond_eq_false",
      "dite_cond_eq_true",
      "div_one",
      "eq_false",
      "eq_self",
      "eq_sub_iff_add_eq",
      "forall_congr",
      "forall_eq",
      "funext",
      "ge_iff_le._simp_1",
      "iSup",
      "iSupIndep",
      "iSupIndep_map_orderIso_iff",
      "iSup_congr_Prop",
      "iSup_image",
      "id",
      "iff_self",
      "implies_congr",
      "inferInstance",
      "instDecidableEqFin",
      "instDecidableNot",
      "instDistribOfSemiring",
      "instDistribSMul",
      "instFunLikeOrderIso",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instIsCancelMulZero",
      "instIsDomain",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instSMulOfMul",
      "instTransEq",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "le_antisymm",
      "le_sup_left",
      "le_sup_right",
      "map_add",
      "map_mul",
      "map_one",
      "map_smul",
      "map_sub",
      "map_zero",
      "mul_comm",
      "mul_one",
      "neg_add_rev",
      "neg_zero",
      "not_false_eq_true",
      "of_decide_eq_true",
      "of_eq_false",
      "of_eq_true",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_smul",
      "or_self",
      "or_true",
      "propext",
      "rfl",
      "smul_add",
      "smul_ne_zero",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_self",
      "sub_smul",
      "sup_le",
      "top_unique",
      "true_or",
      "zero_add",
      "zero_smul"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.finite_and_finrank_eq_of_normalPart_finiteHomeomorph": [
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instAddMonoidHomClass",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Antitone",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "BoundedOrder.toOrderTop",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choice",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_forall",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.isClosed_iff",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toBoundedOrder",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteLattice.toLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "ConditionallyCompleteLattice.toLattice",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.norm",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.opNorm_zero",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousLinearMapWOT",
      "ContinuousLinearMapWOT.continuous_dual_apply",
      "ContinuousLinearMapWOT.inducingFn",
      "ContinuousLinearMapWOT.instAddCommGroup",
      "ContinuousLinearMapWOT.instFunLike",
      "ContinuousLinearMapWOT.instModule",
      "ContinuousLinearMapWOT.instTopologicalSpace",
      "ContinuousLinearMapWOT.isInducing_inducingFn",
      "ContinuousLinearMapWOT.ofCLM",
      "ContinuousLinearMapWOT.toCLM",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Directed",
      "Disjoint",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.isSimpleRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.isPrincipalIdealRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.subset",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Eq.trans_ne",
      "Equiv",
      "Equiv.Perm.star",
      "Equiv.apply_symm_apply",
      "Equiv.injective",
      "Equiv.instEquivLike",
      "Equiv.invFun",
      "Equiv.mk",
      "Equiv.ofBijective",
      "Equiv.prodComm",
      "Equiv.surjective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "Equiv.symm_image_image",
      "Equiv.toFun",
      "Equiv.trans",
      "EquivLike.toFunLike",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.Subtype.fintype",
      "Finset.card",
      "Finset.card_singleton",
      "Finset.decidableMem",
      "Finset.induction_on",
      "Finset.instEmptyCollection",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.instSingleton",
      "Finset.mem_insert",
      "Finset.mem_insert_of_mem",
      "Finset.mem_insert_self",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.notMem_empty._simp_1",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_ite_eq",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Finset.univ_unique",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "Fintype.sum_option",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.Involutive",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "Function.hasSMul",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasQuotient.Quotient",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Iff.symm",
      "Iff.trans",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.mul",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.inter",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.inter_right",
      "IsCompact.nonempty_iInter_of_directed_nonempty_isCompact_isClosed",
      "IsCompact.of_isClosed_subset",
      "IsConcreteLE",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsEmpty.forall_iff._simp_1",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsNoetherianRing.strongRankCondition",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsSimpleRing.instNontrivial",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_eq",
      "LE.le.trans_lt",
      "LE.mk",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "LT.mk",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.surjective",
      "LinearEquiv.symm",
      "LinearEquiv.toLinearMap",
      "LinearIndependent",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.coe_sum",
      "LinearMap.comp",
      "LinearMap.congr_fun",
      "LinearMap.exists_extend",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.ker",
      "LinearMap.ker_pi",
      "LinearMap.ker_zero",
      "LinearMap.mem_ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.pi",
      "LinearMap.quotKerEquivRange",
      "LinearMap.quotKerEquivRange_symm_apply_image",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Matrix.cons_val_fin_one",
      "Matrix.vecCons",
      "Matrix.vecEmpty",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.isOpen_iff",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.Basis",
      "Module.Basis.instFunLike",
      "Module.Basis.linearIndependent",
      "Module.Basis.mk",
      "Module.Basis.ne_zero",
      "Module.Basis.span_eq",
      "Module.Finite",
      "Module.Finite.of_basis",
      "Module.Free.of_divisionRing",
      "Module.complexToReal",
      "Module.finBasis",
      "Module.finrank",
      "Module.finrank_eq_card_basis",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "MulAction",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.toAddSubmonoidClass",
      "NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring",
      "Nonempty",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "Nontrivial",
      "Nontrivial.mk",
      "Nontrivial.to_nonempty",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Option",
      "Option.elim'",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Or.resolve_right",
      "Order.Frame.toHeytingAlgebra",
      "Order.IsIdeal.Directed",
      "Order.IsIdeal.IsLowerSet",
      "Order.IsIdeal.Nonempty",
      "Order.IsPFilter",
      "Order.IsPFilter.of_def",
      "OrderBot.toBot",
      "OrderDual",
      "OrderDual.instLE",
      "OrderDual.ofDual",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderIso.apply_symm_apply",
      "OrderIso.injective",
      "OrderIso.map_top",
      "OrderIso.monotone",
      "OrderIso.symm_apply_apply",
      "OrderIso.trans",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "PUnit.fintype",
      "PUnit.instUnique",
      "PUnit.unit",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.Function.module",
      "Pi.addCommGroup",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instSMul",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_apply",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "Pi.topologicalSpace",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder",
      "Preorder.mk",
      "Preorder.toLE",
      "Preorder.toLT",
      "PrincipalIdealRing.isNoetherianRing",
      "Prod",
      "Prod.algebra",
      "Prod.casesOn",
      "Prod.ext",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.swap",
      "Prod.swap_swap",
      "Prod.toNorm",
      "Projectivization",
      "Projectivization.Independent",
      "Projectivization.Independent.mk",
      "Projectivization.Subspace",
      "Projectivization.Subspace.instCompleteLattice",
      "Projectivization.Subspace.instPartialOrder",
      "Projectivization.Subspace.instSetLike",
      "Projectivization.Subspace.mem_add",
      "Projectivization.Subspace.mem_submodule_iff",
      "Projectivization.Subspace.mk",
      "Projectivization.Subspace.span",
      "Projectivization.Subspace.spanCarrier",
      "Projectivization.Subspace.spanCarrier.rec",
      "Projectivization.Subspace.span_coe",
      "Projectivization.Subspace.span_le_span",
      "Projectivization.Subspace.span_le_subspace_iff",
      "Projectivization.Subspace.submodule",
      "Projectivization.Subspace.subset_span",
      "Projectivization.independent_iff",
      "Projectivization.independent_iff_iSupIndep",
      "Projectivization.instNonemptyOfNontrivial",
      "Projectivization.mk",
      "Projectivization.mk_eq_mk_iff'",
      "Projectivization.mk_rep",
      "Projectivization.rep",
      "Projectivization.rep_nonzero",
      "Projectivization.submodule",
      "Projectivization.submodule_eq",
      "Projectivization.submodule_injective",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.norm_sq_eq_def",
      "RCLike.ofReal",
      "RCLike.one_im",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toDecidableEq",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.norm_ofNat",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "RelIso.mk",
      "RelIso.toEquiv",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "SProd.sprod",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Finite",
      "Set.Finite.fintype",
      "Set.Finite.image",
      "Set.Finite.insert",
      "Set.Finite.union",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Nonempty.to_subtype",
      "Set.Pairwise",
      "Set.Subset.antisymm",
      "Set.Subset.rfl",
      "Set.Subset.trans",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.empty_subset",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.extremePoints",
      "Set.finite_range",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.image_congr",
      "Set.image_empty",
      "Set.image_id",
      "Set.image_image",
      "Set.image_mono",
      "Set.image_pair",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.instBoundedOrder",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSProd",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_range_self",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.not_nonempty_iff_eq_empty",
      "Set.pairwise_singleton",
      "Set.pi",
      "Set.preimage",
      "Set.preimage_empty",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sUnion",
      "Set.singleton_nonempty",
      "Set.singleton_subset_iff",
      "Set.subset_sUnion_of_mem",
      "Set.subset_union_left",
      "Set.subset_union_right",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.union_subset",
      "Set.univ",
      "SetLike",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "SetLike.le_def",
      "SetLike.mem_coe",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.Quotient.addCommMonoid",
      "Submodule.Quotient.module",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.exists_le_ker_of_notMem",
      "Submodule.ext",
      "Submodule.finiteDimensional_sup",
      "Submodule.hasQuotient",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instInfSet",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.liftQ",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_iInf",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_pair",
      "Submodule.mem_span_range_iff_exists_fun",
      "Submodule.mem_span_singleton",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.mkQ",
      "Submodule.mk_mem_projectivization_iff",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.projectivization",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_le",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "Submodule.subtypeL",
      "Submodule.sum_mem",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "SubmoduleClass.module",
      "SubmoduleClass.toNormedSpace",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.instDecidableEq",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.range_coe_subtype",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "Superset",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Topology.IsInducing",
      "Topology.IsInducing.closure_eq_preimage_closure_image",
      "Topology.IsInducing.piMap",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "Zero",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_le_add",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "and_congr",
      "and_congr_right",
      "and_self",
      "binderNameHint",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_minimal",
      "closure_singleton",
      "commute_iff_eq",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_apply",
      "continuous_const",
      "continuous_finset_sum",
      "continuous_id",
      "continuous_id'",
      "continuous_norm",
      "continuous_pi",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_self",
      "dist_zero_right",
      "dite",
      "dite_cond_eq_true",
      "div_eq_mul_inv",
      "div_le_one",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "exists_pair_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "iInf",
      "iSupIndep",
      "iSupIndep_map_orderIso_iff",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_ne_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_sum",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqProd",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDecidableOr",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFintypeOption",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsConcreteLE",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsEmptyFalse",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulActionNatOfAddMonoid",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instNonemptyProd",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransIff",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "inv_smul_smul₀",
      "isClosed_biInter",
      "isClosed_eq",
      "isClosed_univ",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isOpen_pi_iff",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_min",
      "le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_div₀",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_closure_iff",
      "mem_extremePoints_iff_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_add_eq_zero",
      "neg_apply",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_div",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_or",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "openSegment_symm",
      "optParam",
      "or_comm",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_div₀",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "subsingleton_or_nontrivial",
      "sum_apply",
      "sum_inner",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_evaluation": [
      "AddCancelCommMonoid.toAddLeftCancelMonoid",
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.toAddCancelCommMonoid",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelMonoid.toAddLeftCancelSemigroup",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instAddMonoidHomClass",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Antitone",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "BoundedOrder.toOrderTop",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "Cardinal",
      "Cardinal.instLE",
      "Cardinal.instNatCast",
      "Cardinal.lift",
      "Cardinal.lift_mk_le'",
      "Cardinal.lift_ofNat",
      "Cardinal.lift_uzero",
      "Cardinal.mk",
      "Cardinal.mk_fintype",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choice",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_forall",
      "Classical.not_not",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.isClosed_iff",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "Compl.compl",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toBoundedOrder",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toCompleteSemilatticeSup",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteLattice.toLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSemilatticeSup.toSupSet",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
      "ConditionallyCompleteLattice.toLattice",
      "ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup",
      "ConditionallyCompletePartialOrderSup.toSupSet",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.norm",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.opNorm_zero",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousLinearMapWOT",
      "ContinuousLinearMapWOT.continuous_dual_apply",
      "ContinuousLinearMapWOT.inducingFn",
      "ContinuousLinearMapWOT.instAddCommGroup",
      "ContinuousLinearMapWOT.instFunLike",
      "ContinuousLinearMapWOT.instModule",
      "ContinuousLinearMapWOT.instTopologicalSpace",
      "ContinuousLinearMapWOT.isInducing_inducingFn",
      "ContinuousLinearMapWOT.ofCLM",
      "ContinuousLinearMapWOT.toCLM",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Directed",
      "Disjoint",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.isSimpleRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.subset",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Eq.trans_ne",
      "Equiv",
      "Equiv.Perm.star",
      "Equiv.apply_symm_apply",
      "Equiv.injective",
      "Equiv.instEquivLike",
      "Equiv.invFun",
      "Equiv.mk",
      "Equiv.ofBijective",
      "Equiv.prodComm",
      "Equiv.surjective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "Equiv.symm_image_image",
      "Equiv.toFun",
      "Equiv.trans",
      "EquivLike.toFunLike",
      "EuclideanDomain.toNontrivial",
      "EuclideanDomain.to_principal_ideal_domain",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toEuclideanDomain",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.Subtype.fintype",
      "Finset.card",
      "Finset.card_singleton",
      "Finset.decidableMem",
      "Finset.induction_on",
      "Finset.instEmptyCollection",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.instSingleton",
      "Finset.mem_insert",
      "Finset.mem_insert_of_mem",
      "Finset.mem_insert_self",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.notMem_empty._simp_1",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_ite_eq",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Finset.univ_unique",
      "Finsupp",
      "Finsupp.ext",
      "Finsupp.instAdd",
      "Finsupp.instAddCommGroup",
      "Finsupp.instAddCommMonoid",
      "Finsupp.instFunLike",
      "Finsupp.instSub",
      "Finsupp.instZero",
      "Finsupp.linearCombination",
      "Finsupp.mapRange",
      "Finsupp.mapRange.congr_simp",
      "Finsupp.mapRange_mapRange",
      "Finsupp.mapRange_mapRange._proof_1",
      "Finsupp.mem_support_iff",
      "Finsupp.module",
      "Finsupp.single",
      "Finsupp.single_eq_of_ne",
      "Finsupp.single_eq_same",
      "Finsupp.single_sub",
      "Finsupp.smulZeroClass",
      "Finsupp.smul_single",
      "Finsupp.support",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "Fintype.sum_option",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Embedding",
      "Function.Embedding.injective",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.Injective.ne",
      "Function.Involutive",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "Function.hasSMul",
      "Function.instFunLikeEmbedding",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasQuotient.Quotient",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.of_eq",
      "Iff.rfl",
      "Iff.symm",
      "Iff.trans",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.mul",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.inter",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.inter_right",
      "IsCompact.nonempty_iInter_of_directed_nonempty_isCompact_isClosed",
      "IsCompact.of_isClosed_subset",
      "IsConcreteLE",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsEmpty.forall_iff._simp_1",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsNoetherianRing.strongRankCondition",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsSimpleRing.instNontrivial",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_eq",
      "LE.le.trans_lt",
      "LE.mk",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "LT.mk",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.apply_symm_apply",
      "LinearEquiv.injective",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.instSemilinearEquivClass",
      "LinearEquiv.map_smulₛₗ",
      "LinearEquiv.mk",
      "LinearEquiv.surjective",
      "LinearEquiv.symm",
      "LinearEquiv.toLinearMap",
      "LinearIndependent",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.coe_sum",
      "LinearMap.comp",
      "LinearMap.congr_fun",
      "LinearMap.exists_extend",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.ker",
      "LinearMap.ker_pi",
      "LinearMap.ker_zero",
      "LinearMap.mem_ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.pi",
      "LinearMap.quotKerEquivRange",
      "LinearMap.quotKerEquivRange_symm_apply_image",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Matrix.cons_val_fin_one",
      "Matrix.vecCons",
      "Matrix.vecEmpty",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.isOpen_iff",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.Basis",
      "Module.Basis.coord",
      "Module.Basis.instFunLike",
      "Module.Basis.linearIndependent",
      "Module.Basis.mem_span_image",
      "Module.Basis.mk",
      "Module.Basis.mk_apply",
      "Module.Basis.ne_zero",
      "Module.Basis.repr",
      "Module.Basis.repr_linearCombination",
      "Module.Basis.repr_self",
      "Module.Basis.repr_symm_apply",
      "Module.Basis.span_eq",
      "Module.Basis.unitsSMul",
      "Module.Basis.unitsSMul_apply",
      "Module.Free.ChooseBasisIndex",
      "Module.Free.chooseBasis",
      "Module.Free.of_divisionRing",
      "Module.Free.rank_eq_card_chooseBasisIndex",
      "Module.complexToReal",
      "Module.finrank",
      "Module.rank",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "MulAction",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.toAddSubmonoidClass",
      "NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring",
      "Nonempty",
      "Nonempty.casesOn",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "Nontrivial",
      "Nontrivial.mk",
      "Nontrivial.to_nonempty",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Option",
      "Option.elim'",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Or.resolve_right",
      "Order.Frame.toHeytingAlgebra",
      "Order.IsIdeal.Directed",
      "Order.IsIdeal.IsLowerSet",
      "Order.IsIdeal.Nonempty",
      "Order.IsPFilter",
      "Order.IsPFilter.of_def",
      "OrderBot.toBot",
      "OrderDual",
      "OrderDual.instLE",
      "OrderDual.ofDual",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderIso.apply_symm_apply",
      "OrderIso.injective",
      "OrderIso.map_iSup",
      "OrderIso.map_sup",
      "OrderIso.map_top",
      "OrderIso.monotone",
      "OrderIso.symm_apply_apply",
      "OrderIso.trans",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "PUnit.fintype",
      "PUnit.instUnique",
      "PUnit.unit",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.Function.module",
      "Pi.addCommGroup",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instSMul",
      "Pi.instSub",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_apply",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "Pi.topologicalSpace",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder",
      "Preorder.mk",
      "Preorder.toLE",
      "Preorder.toLT",
      "PrincipalIdealRing.isNoetherianRing",
      "Prod",
      "Prod.algebra",
      "Prod.casesOn",
      "Prod.ext",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.swap",
      "Prod.swap_swap",
      "Prod.toNorm",
      "Projectivization",
      "Projectivization.Independent",
      "Projectivization.Independent.mk",
      "Projectivization.Subspace",
      "Projectivization.Subspace.instCompleteLattice",
      "Projectivization.Subspace.instPartialOrder",
      "Projectivization.Subspace.instSetLike",
      "Projectivization.Subspace.mem_add",
      "Projectivization.Subspace.mem_submodule_iff",
      "Projectivization.Subspace.mk",
      "Projectivization.Subspace.span",
      "Projectivization.Subspace.spanCarrier",
      "Projectivization.Subspace.spanCarrier.rec",
      "Projectivization.Subspace.span_coe",
      "Projectivization.Subspace.span_le_span",
      "Projectivization.Subspace.span_le_subspace_iff",
      "Projectivization.Subspace.submodule",
      "Projectivization.Subspace.subset_span",
      "Projectivization.independent_iff",
      "Projectivization.independent_iff_iSupIndep",
      "Projectivization.instNonemptyOfNontrivial",
      "Projectivization.mk",
      "Projectivization.mk.congr_simp",
      "Projectivization.mk_eq_mk_iff'",
      "Projectivization.mk_rep",
      "Projectivization.rep",
      "Projectivization.rep_nonzero",
      "Projectivization.submodule",
      "Projectivization.submodule_eq",
      "Projectivization.submodule_injective",
      "Projectivization.submodule_mk",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.norm_sq_eq_def",
      "RCLike.ofReal",
      "RCLike.one_im",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toDecidableEq",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.norm_ofNat",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "RelIso.mk",
      "RelIso.toEquiv",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingEquiv",
      "RingEquiv.apply_symm_apply",
      "RingEquiv.instEquivLike",
      "RingEquiv.instRingEquivClass",
      "RingEquiv.map_zero",
      "RingEquiv.mk",
      "RingEquiv.symm",
      "RingEquiv.symm_apply_apply",
      "RingEquiv.toRingHom",
      "RingEquivClass.toNonUnitalRingHomClass",
      "RingEquivClass.toRingHomClass",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomClass.toRingHom",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.of_ringEquiv",
      "RingHomInvPair.of_ringEquiv_symm",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "SProd.sprod",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearEquivClass.instSemilinearMapClass",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Finite",
      "Set.Finite.fintype",
      "Set.Finite.image",
      "Set.Finite.insert",
      "Set.Finite.union",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Nonempty.to_subtype",
      "Set.Pairwise",
      "Set.Subset.antisymm",
      "Set.Subset.rfl",
      "Set.Subset.trans",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.empty_subset",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.extremePoints",
      "Set.finite_range",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.image_congr",
      "Set.image_empty",
      "Set.image_id",
      "Set.image_image",
      "Set.image_mono",
      "Set.image_pair",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.instBoundedOrder",
      "Set.instCompl",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSProd",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_compl_iff",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_range_self",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.not_nonempty_iff_eq_empty",
      "Set.pairwise_singleton",
      "Set.pi",
      "Set.preimage",
      "Set.preimage_empty",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sUnion",
      "Set.singleton_nonempty",
      "Set.singleton_subset_iff",
      "Set.subset_sUnion_of_mem",
      "Set.subset_union_left",
      "Set.subset_union_right",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.union_subset",
      "Set.univ",
      "SetLike",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "SetLike.le_def",
      "SetLike.mem_coe",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.Quotient.addCommMonoid",
      "Submodule.Quotient.module",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.exists_le_ker_of_notMem",
      "Submodule.ext",
      "Submodule.finiteDimensional_sup",
      "Submodule.hasQuotient",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instInfSet",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.liftQ",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_iInf",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_pair",
      "Submodule.mem_span_range_iff_exists_fun",
      "Submodule.mem_span_singleton",
      "Submodule.mem_span_singleton_self",
      "Submodule.mem_sup",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.mkQ",
      "Submodule.mk_mem_projectivization_iff",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.projectivization",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_eq_iSup_of_singleton_spans",
      "Submodule.span_le",
      "Submodule.span_singleton_le_iff_mem",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_mem",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "Submodule.subtypeL",
      "Submodule.sum_mem",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "SubmoduleClass.module",
      "SubmoduleClass.toNormedSpace",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.instDecidableEq",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.range_coe_subtype",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "Superset",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Topology.IsInducing",
      "Topology.IsInducing.closure_eq_preimage_closure_image",
      "Topology.IsInducing.piMap",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "Units",
      "Units.instMonoid",
      "Units.instMulAction",
      "Units.instOne",
      "Units.instSMul",
      "Units.mk0",
      "Units.val",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "Zero",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_assoc",
      "add_comm",
      "add_le_add",
      "add_left_cancel",
      "add_left_comm",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_neg_cancel_comm_assoc",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "and_congr",
      "and_congr_right",
      "and_self",
      "binderNameHint",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_minimal",
      "closure_singleton",
      "commute_iff_eq",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_apply",
      "continuous_const",
      "continuous_finset_sum",
      "continuous_id",
      "continuous_id'",
      "continuous_norm",
      "continuous_pi",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_self",
      "dist_zero_right",
      "dite",
      "dite_cond_eq_false",
      "dite_cond_eq_true",
      "div_eq_mul_inv",
      "div_le_one",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_sub_iff_add_eq",
      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "exists_pair_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "forall_eq",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "iInf",
      "iSup",
      "iSupIndep",
      "iSupIndep_map_orderIso_iff",
      "iSup_congr_Prop",
      "iSup_image",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_ne_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_sum",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqProd",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDecidableOr",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instDistribSMul",
      "instFintypeOption",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsConcreteLE",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsEmptyFalse",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulActionNatOfAddMonoid",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instNonemptyProd",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransIff",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "inv_smul_smul₀",
      "isClosed_biInter",
      "isClosed_eq",
      "isClosed_univ",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isOpen_pi_iff",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_min",
      "le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_div₀",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_closure_iff",
      "mem_extremePoints_iff_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_add_eq_zero",
      "neg_add_rev",
      "neg_apply",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_div",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_or",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_false",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "openSegment_symm",
      "optParam",
      "or_comm",
      "or_self",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_ne_zero",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_div₀",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "subsingleton_or_nontrivial",
      "sum_apply",
      "sum_inner",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_le",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "LinearEquiv.regularity_of_isClosed_image_hyperplane": [
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommMagma.toAdd",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.existsAddOfLE",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddHom.mk",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddSemigroup.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "Algebra.id",
      "Algebra.toModule",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.false",
      "Bool.true",
      "Classical.byContradiction",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommMagma.toMul",
      "CommRing.toCommMonoid",
      "CommRing.toRing",
      "CommSemiring.toSemiring",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_sq",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.continuous_ofReal",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instDenselyNormedField",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNorm",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRatCast",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.ofReal",
      "Complex.ofReal_inj._simp_1",
      "Complex.re",
      "Complex.re_add_im",
      "Continuous",
      "Continuous.comp",
      "Continuous.continuousAt",
      "ContinuousAt.tendsto",
      "ContinuousLinearEquiv",
      "ContinuousLinearEquiv.symm",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul",
      "ContinuousLinearMap.map_tsum",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.zero",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DenseRange.equalizer",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Dist.dist",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing.isSimpleRing",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatCast",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "Eq",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "EquivLike.toFunLike",
      "Exists",
      "Exists.casesOn",
      "Exists.intro",
      "False",
      "Field.instIsLocalRing",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter.Eventually.of_forall",
      "Filter.Tendsto",
      "Filter.Tendsto.comp",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Fin",
      "Fin.ext_iff",
      "Fin.fintype",
      "Fin.isLt",
      "Fin.mk",
      "Fin.val",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.decidableMem",
      "Finset.instSetLike",
      "Finset.mem_univ._simp_1",
      "Finset.sum",
      "Finset.sum_congr",
      "Finset.sum_const_zero",
      "Finset.sum_ite_eq",
      "Finset.sum_ite_eq'",
      "Finset.univ",
      "Fintype",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "Function.Surjective",
      "Function.comp",
      "Function.update",
      "Function.update_of_ne",
      "Function.update_self",
      "GT.gt",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "InnerProductSpace.toNormedSpace",
      "Int",
      "Int.add_one_le_of_lt",
      "Int.instAdd",
      "Int.instLEInt",
      "Int.instNegInt",
      "Int.instSub",
      "Int.natCast_add",
      "Int.natCast_nonneg",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Int.sub_nonneg_of_le",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvolutiveNeg.toNeg",
      "IsBoundedSMul.continuousSMul",
      "IsClosed",
      "IsClosed.mem_of_tendsto",
      "IsCoatom",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLocalRing.toNontrivial",
      "IsModuleTopology.toContinuousSMul",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring.toIsModuleTopology",
      "LE.le",
      "LE.le.trans",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "Lean.Omega.Coeffs.ofList",
      "Lean.Omega.Constraint.addInequality_sat",
      "Lean.Omega.Constraint.combine_sat'",
      "Lean.Omega.Constraint.isImpossible",
      "Lean.Omega.Constraint.mk",
      "Lean.Omega.Constraint.not_sat'_of_isImpossible",
      "Lean.Omega.Int.add_congr",
      "Lean.Omega.Int.ofNat_le_of_le",
      "Lean.Omega.Int.ofNat_lt_of_lt",
      "Lean.Omega.Int.sub_congr",
      "Lean.Omega.LinearCombo",
      "Lean.Omega.LinearCombo.add_eval",
      "Lean.Omega.LinearCombo.coordinate",
      "Lean.Omega.LinearCombo.coordinate_eval_0",
      "Lean.Omega.LinearCombo.coordinate_eval_1",
      "Lean.Omega.LinearCombo.coordinate_eval_2",
      "Lean.Omega.LinearCombo.eval",
      "Lean.Omega.LinearCombo.instAdd",
      "Lean.Omega.LinearCombo.instSub",
      "Lean.Omega.LinearCombo.mk",
      "Lean.Omega.LinearCombo.sub_eval",
      "Lean.Omega.combo_sat'",
      "Lean.Omega.tidy_sat",
      "LinearEquiv",
      "LinearEquiv.apply_symm_apply",
      "LinearEquiv.continuous_symm",
      "LinearEquiv.injective",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.instSemilinearEquivClass",
      "LinearEquiv.map_add",
      "LinearEquiv.map_smulₛₗ",
      "LinearEquiv.mk",
      "LinearEquiv.surjective",
      "LinearEquiv.symm",
      "LinearEquiv.symm_apply_apply",
      "LinearEquiv.toContinuousLinearEquivOfContinuous",
      "LinearEquiv.toLinearMap",
      "LinearMap",
      "LinearMap.continuous_iff_isClosed_ker",
      "LinearMap.continuous_of_seq_closed_graph",
      "LinearMap.instFunLike",
      "LinearMap.instZero",
      "LinearMap.isCoatom_ker_of_surjective",
      "LinearMap.ker",
      "LinearMap.ker_zero",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.surjective_iff_ne_zero",
      "LinearOrder.toPartialOrder",
      "List.cons",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.natCast_nonneg",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.atom_pf'",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Max.max",
      "Membership.mem",
      "Metric.continuous_iff",
      "MetricSpace.toEMetricSpace",
      "Module.Finite.of_surjective",
      "Module.toDistribMulAction",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "MulActionSemiHomClass.map_smulₛₗ",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "Nat",
      "Nat.below",
      "Nat.ble",
      "Nat.brecOn",
      "Nat.casesOn",
      "Nat.cast",
      "Nat.cast_add._simp_1",
      "Nat.cast_inj._simp_1",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_zero",
      "Nat.decLt",
      "Nat.decidableBallLT",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCommSemiring",
      "Nat.instIsStrictOrderedRing",
      "Nat.instLinearOrder",
      "Nat.instMax",
      "Nat.instNeZeroSucc",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.le_induction",
      "Nat.le_of_not_lt",
      "Nat.lt_or_gt_of_ne",
      "Nat.lt_succ_self",
      "Nat.mul",
      "Nat.rawCast",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero.charZero_one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NontriviallyNormedField.toNormedField",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "Not",
      "OfNat.ofNat",
      "One.toOfNat1",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "OrderTop.toTop",
      "PartialOrder.toPreorder",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulReflectLE",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.fst",
      "Prod.mk",
      "Prod.snd",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.innerProductSpace",
      "RCLike.norm_natCast",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.toCompleteSpace",
      "RCLike.toDecidableEq",
      "RCLike.toDenselyNormedField",
      "RCLike.toNormedAlgebra",
      "Rat",
      "Rat.cast",
      "Rat.cast_zero",
      "Rat.denseRange_cast",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.instOfNat",
      "Rat.monoid",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.decidableLE",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommSemiring",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.lattice",
      "Real.linearOrder",
      "Real.norm",
      "Real.norm_ofNat",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toSemiring",
      "RingEquiv",
      "RingEquiv.apply_symm_apply",
      "RingEquiv.ext",
      "RingEquiv.injective",
      "RingEquiv.instEquivLike",
      "RingEquiv.instRingEquivClass",
      "RingEquiv.map_mul",
      "RingEquiv.refl",
      "RingEquiv.symm",
      "RingEquiv.toRingHom",
      "RingEquivClass.toNonUnitalRingHomClass",
      "RingEquivClass.toRingHomClass",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHomClass.toLinearMapClassNNRat",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toRingHom",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.of_ringEquiv",
      "RingHomInvPair.of_ringEquiv_symm",
      "RingHomIsometric.ids",
      "RingHomSurjective.ids",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "SemilinearEquivClass.instSemilinearMapClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toNonAssocSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "Set",
      "Set.ext",
      "Set.finite_range",
      "Set.image",
      "Set.instMembership",
      "Set.mem_range_self",
      "Set.mem_univ._simp_1",
      "Set.range",
      "Set.univ",
      "SetLike.coe",
      "SetLike.instMembership",
      "StrongDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "Submodule",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.module",
      "Submodule.setLike",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.subset_span",
      "Submodule.sum_mem",
      "Submodule.topEquiv",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.val",
      "Summable",
      "Summable.mul_right",
      "Summable.of_norm_bounded",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "T2Space.t1Space",
      "Top.top",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Trans.trans",
      "True",
      "True.intro",
      "UniformSpace.toTopologicalSpace",
      "Unit",
      "Unit.unit",
      "Zero.toOfNat0",
      "abs",
      "abs_of_pos",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_zero",
      "algebraMap.coe_inj._simp_1",
      "algebraMap.coe_zero",
      "binderNameHint",
      "cast",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "covariant_swap_add_of_covariant_add",
      "dist_eq_norm",
      "dist_nonneg",
      "dite",
      "div_eq_mul_inv",
      "div_le_iff₀",
      "div_lt_iff₀",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_pos",
      "eq_false",
      "eq_neg_of_add_eq_zero_left",
      "eq_self",
      "eq_true",
      "exists_dual_vector",
      "exists_nat_gt",
      "forall_congr",
      "funext",
      "half_lt_self_iff._simp_1",
      "id",
      "implies_congr",
      "inferInstance",
      "instAddNat",
      "instArchimedeanNat",
      "instCommSemiringNNRat",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDistribOfSemiring",
      "instDistribSMul",
      "instFaithfulSMul_1",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSummableGeomSeries",
      "instInhabitedNat",
      "instIsDirectedOrder",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsSimpleModule",
      "instIsTopologicalRingReal",
      "instLENat",
      "instLTNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNatCastInt",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instTransEq",
      "instTransEq_1",
      "inv_mul_cancel₀",
      "inv_pow",
      "isClosed_univ",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "le_add_of_nonneg_right",
      "le_div_iff₀",
      "le_max_left",
      "le_max_right",
      "le_of_le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "lt_div_iff₀",
      "lt_of_lt_of_le",
      "lt_of_not_ge",
      "lt_trans",
      "map_add",
      "map_inv₀",
      "map_mul",
      "map_natCast",
      "map_neg",
      "map_one",
      "map_pow",
      "map_ratCast",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "mul_comm",
      "mul_eq_zero",
      "mul_ite",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_neg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "ne_of_gt",
      "ne_of_lt",
      "neg_neg_of_pos",
      "neg_zero",
      "nhds",
      "norm_div",
      "norm_eq_zero",
      "norm_inv",
      "norm_mul",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_smul",
      "norm_zero",
      "normedAlgebraRat",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "of_decide_eq_true",
      "of_eq_true",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "optParam",
      "outParam",
      "pow_pos",
      "pow_succ",
      "propext",
      "rfl",
      "smul_apply",
      "smul_eq_mul",
      "squeeze_zero",
      "starRingAut",
      "starRingEnd",
      "sub_apply",
      "sub_eq_zero",
      "sub_ne_zero",
      "sub_self",
      "sub_sub_cancel_left",
      "sub_zero",
      "sum_apply",
      "summable_geometric_of_norm_lt_one",
      "tendsto_iff_dist_tendsto_zero",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "top_unique",
      "tsum",
      "tsum_ite_eq",
      "zero_add",
      "zero_apply",
      "zero_le_one"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_scalar_types": [
      "AddCancelCommMonoid.toAddLeftCancelMonoid",
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.toAddCancelCommMonoid",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelMonoid.toAddLeftCancelSemigroup",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instAddMonoidHomClass",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Antitone",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "BoundedOrder.toOrderTop",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "Cardinal",
      "Cardinal.instLE",
      "Cardinal.instNatCast",
      "Cardinal.lift",
      "Cardinal.lift_mk_le'",
      "Cardinal.lift_ofNat",
      "Cardinal.lift_uzero",
      "Cardinal.mk",
      "Cardinal.mk_fintype",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choice",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_forall",
      "Classical.not_not",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.isClosed_iff",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "Compl.compl",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toBoundedOrder",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toCompleteSemilatticeSup",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteLattice.toLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSemilatticeSup.toSupSet",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRatCast",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_add_im",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
      "ConditionallyCompleteLattice.toLattice",
      "ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup",
      "ConditionallyCompletePartialOrderSup.toSupSet",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.norm",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv",
      "ContinuousLinearEquiv.symm",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.map_tsum",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.opNorm_zero",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousLinearMapWOT",
      "ContinuousLinearMapWOT.continuous_dual_apply",
      "ContinuousLinearMapWOT.inducingFn",
      "ContinuousLinearMapWOT.instAddCommGroup",
      "ContinuousLinearMapWOT.instFunLike",
      "ContinuousLinearMapWOT.instModule",
      "ContinuousLinearMapWOT.instTopologicalSpace",
      "ContinuousLinearMapWOT.isInducing_inducingFn",
      "ContinuousLinearMapWOT.ofCLM",
      "ContinuousLinearMapWOT.toCLM",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.equalizer",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Directed",
      "Disjoint",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.isSimpleRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRatCast",
      "DivisionRing.toRing",
      "DivisionSemiring.isPrincipalIdealRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.subset",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Eq.trans_ne",
      "Equiv",
      "Equiv.Perm.star",
      "Equiv.apply_symm_apply",
      "Equiv.injective",
      "Equiv.instEquivLike",
      "Equiv.invFun",
      "Equiv.mk",
      "Equiv.ofBijective",
      "Equiv.prodComm",
      "Equiv.surjective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "Equiv.symm_image_image",
      "Equiv.toFun",
      "Equiv.trans",
      "EquivLike.toFunLike",
      "EuclideanDomain.toNontrivial",
      "EuclideanDomain.to_principal_ideal_domain",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.instIsLocalRing",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toEuclideanDomain",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "Fin",
      "Fin.ext_iff",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.isLt",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.Subtype.fintype",
      "Finset.card",
      "Finset.card_singleton",
      "Finset.decidableMem",
      "Finset.induction_on",
      "Finset.instEmptyCollection",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.instSingleton",
      "Finset.mem_insert",
      "Finset.mem_insert_of_mem",
      "Finset.mem_insert_self",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.notMem_empty._simp_1",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_ite_eq",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Finset.univ_unique",
      "Finsupp",
      "Finsupp.ext",
      "Finsupp.instAdd",
      "Finsupp.instAddCommGroup",
      "Finsupp.instAddCommMonoid",
      "Finsupp.instFunLike",
      "Finsupp.instSub",
      "Finsupp.instZero",
      "Finsupp.linearCombination",
      "Finsupp.mapRange",
      "Finsupp.mapRange.congr_simp",
      "Finsupp.mapRange_mapRange",
      "Finsupp.mapRange_mapRange._proof_1",
      "Finsupp.mem_support_iff",
      "Finsupp.module",
      "Finsupp.single",
      "Finsupp.single_eq_of_ne",
      "Finsupp.single_eq_same",
      "Finsupp.single_sub",
      "Finsupp.smulZeroClass",
      "Finsupp.smul_single",
      "Finsupp.support",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "Fintype.sum_option",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Embedding",
      "Function.Embedding.injective",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.Injective.ne",
      "Function.Involutive",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "Function.hasSMul",
      "Function.instFunLikeEmbedding",
      "Function.update",
      "Function.update_of_ne",
      "Function.update_self",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasQuotient.Quotient",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.antisymm",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.of_eq",
      "Iff.rfl",
      "Iff.symm",
      "Iff.trans",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.add_one_le_of_lt",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instLEInt",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.instSub",
      "Int.mul",
      "Int.natCast_add",
      "Int.natCast_nonneg",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Int.sub_nonneg_of_le",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.completeSpace_coe",
      "IsClosed.inter",
      "IsClosed.mem_of_tendsto",
      "IsClosed.preimage",
      "IsCoatom",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.inter_right",
      "IsCompact.nonempty_iInter_of_directed_nonempty_isCompact_isClosed",
      "IsCompact.of_isClosed_subset",
      "IsConcreteLE",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsEmpty.forall_iff._simp_1",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsLocalRing.toNontrivial",
      "IsModuleTopology.toContinuousSMul",
      "IsNoetherianRing.strongRankCondition",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsSimpleRing.instNontrivial",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsTopologicalSemiring.toIsModuleTopology",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_eq",
      "LE.le.trans_lt",
      "LE.mk",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "LT.mk",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Lean.Omega.Coeffs.ofList",
      "Lean.Omega.Constraint.addInequality_sat",
      "Lean.Omega.Constraint.combine_sat'",
      "Lean.Omega.Constraint.isImpossible",
      "Lean.Omega.Constraint.mk",
      "Lean.Omega.Constraint.not_sat'_of_isImpossible",
      "Lean.Omega.Int.add_congr",
      "Lean.Omega.Int.ofNat_le_of_le",
      "Lean.Omega.Int.ofNat_lt_of_lt",
      "Lean.Omega.Int.sub_congr",
      "Lean.Omega.LinearCombo",
      "Lean.Omega.LinearCombo.add_eval",
      "Lean.Omega.LinearCombo.coordinate",
      "Lean.Omega.LinearCombo.coordinate_eval_0",
      "Lean.Omega.LinearCombo.coordinate_eval_1",
      "Lean.Omega.LinearCombo.coordinate_eval_2",
      "Lean.Omega.LinearCombo.eval",
      "Lean.Omega.LinearCombo.instAdd",
      "Lean.Omega.LinearCombo.instSub",
      "Lean.Omega.LinearCombo.mk",
      "Lean.Omega.LinearCombo.sub_eval",
      "Lean.Omega.combo_sat'",
      "Lean.Omega.tidy_sat",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.apply_symm_apply",
      "LinearEquiv.continuous_symm",
      "LinearEquiv.injective",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.instSemilinearEquivClass",
      "LinearEquiv.map_add",
      "LinearEquiv.map_smulₛₗ",
      "LinearEquiv.mk",
      "LinearEquiv.surjective",
      "LinearEquiv.symm",
      "LinearEquiv.symm_apply_apply",
      "LinearEquiv.toContinuousLinearEquivOfContinuous",
      "LinearEquiv.toLinearMap",
      "LinearIndependent",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.coe_sum",
      "LinearMap.comp",
      "LinearMap.congr_fun",
      "LinearMap.continuous_iff_isClosed_ker",
      "LinearMap.continuous_of_seq_closed_graph",
      "LinearMap.exists_extend",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.isCoatom_ker_of_surjective",
      "LinearMap.ker",
      "LinearMap.ker_pi",
      "LinearMap.ker_zero",
      "LinearMap.mem_ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.pi",
      "LinearMap.quotKerEquivRange",
      "LinearMap.quotKerEquivRange_symm_apply_image",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.natCast_nonneg",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.atom_pf'",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Matrix.cons_val_fin_one",
      "Matrix.vecCons",
      "Matrix.vecEmpty",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.continuous_iff",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.isOpen_iff",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.Basis",
      "Module.Basis.coord",
      "Module.Basis.instFunLike",
      "Module.Basis.linearIndependent",
      "Module.Basis.mem_span_image",
      "Module.Basis.mk",
      "Module.Basis.mk_apply",
      "Module.Basis.ne_zero",
      "Module.Basis.repr",
      "Module.Basis.repr_linearCombination",
      "Module.Basis.repr_self",
      "Module.Basis.repr_symm_apply",
      "Module.Basis.span_eq",
      "Module.Basis.unitsSMul",
      "Module.Basis.unitsSMul_apply",
      "Module.Finite",
      "Module.Finite.of_basis",
      "Module.Finite.of_surjective",
      "Module.Free.ChooseBasisIndex",
      "Module.Free.chooseBasis",
      "Module.Free.of_divisionRing",
      "Module.Free.rank_eq_card_chooseBasisIndex",
      "Module.complexToReal",
      "Module.finBasis",
      "Module.finrank",
      "Module.finrank_eq_card_basis",
      "Module.rank",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "MulAction",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionSemiHomClass.map_smulₛₗ",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.below",
      "Nat.ble",
      "Nat.brecOn",
      "Nat.casesOn",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_add._simp_1",
      "Nat.cast_inj._simp_1",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.decLt",
      "Nat.decidableBallLT",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instLinearOrder",
      "Nat.instMax",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_induction",
      "Nat.le_of_lt",
      "Nat.le_of_not_lt",
      "Nat.le_refl",
      "Nat.lt_or_gt_of_ne",
      "Nat.lt_succ_self",
      "Nat.mul",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.toAddSubmonoidClass",
      "NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring",
      "Nonempty",
      "Nonempty.casesOn",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "Nontrivial",
      "Nontrivial.mk",
      "Nontrivial.to_nonempty",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Option",
      "Option.elim'",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Or.resolve_right",
      "Order.Frame.toHeytingAlgebra",
      "Order.IsIdeal.Directed",
      "Order.IsIdeal.IsLowerSet",
      "Order.IsIdeal.Nonempty",
      "Order.IsPFilter",
      "Order.IsPFilter.of_def",
      "OrderBot.toBot",
      "OrderDual",
      "OrderDual.instLE",
      "OrderDual.ofDual",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderIso.apply_symm_apply",
      "OrderIso.injective",
      "OrderIso.map_iSup",
      "OrderIso.map_sup",
      "OrderIso.map_top",
      "OrderIso.monotone",
      "OrderIso.symm",
      "OrderIso.symm_apply_apply",
      "OrderIso.trans",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "PUnit.fintype",
      "PUnit.instUnique",
      "PUnit.unit",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.Function.module",
      "Pi.addCommGroup",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instSMul",
      "Pi.instSub",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_apply",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "Pi.topologicalSpace",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder",
      "Preorder.mk",
      "Preorder.toLE",
      "Preorder.toLT",
      "PrincipalIdealRing.isNoetherianRing",
      "Prod",
      "Prod.algebra",
      "Prod.casesOn",
      "Prod.ext",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.swap",
      "Prod.swap_swap",
      "Prod.toNorm",
      "Projectivization",
      "Projectivization.Independent",
      "Projectivization.Independent.mk",
      "Projectivization.Subspace",
      "Projectivization.Subspace.instCompleteLattice",
      "Projectivization.Subspace.instPartialOrder",
      "Projectivization.Subspace.instSetLike",
      "Projectivization.Subspace.mem_add",
      "Projectivization.Subspace.mem_submodule_iff",
      "Projectivization.Subspace.mk",
      "Projectivization.Subspace.span",
      "Projectivization.Subspace.spanCarrier",
      "Projectivization.Subspace.spanCarrier.rec",
      "Projectivization.Subspace.span_coe",
      "Projectivization.Subspace.span_le_span",
      "Projectivization.Subspace.span_le_subspace_iff",
      "Projectivization.Subspace.submodule",
      "Projectivization.Subspace.subset_span",
      "Projectivization.independent_iff",
      "Projectivization.independent_iff_iSupIndep",
      "Projectivization.instNonemptyOfNontrivial",
      "Projectivization.mk",
      "Projectivization.mk.congr_simp",
      "Projectivization.mk_eq_mk_iff'",
      "Projectivization.mk_rep",
      "Projectivization.rep",
      "Projectivization.rep_nonzero",
      "Projectivization.submodule",
      "Projectivization.submodule_eq",
      "Projectivization.submodule_injective",
      "Projectivization.submodule_mk",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_natCast",
      "RCLike.norm_ofReal",
      "RCLike.norm_sq_eq_def",
      "RCLike.ofReal",
      "RCLike.one_im",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toCompleteSpace",
      "RCLike.toDecidableEq",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.cast",
      "Rat.cast_zero",
      "Rat.commSemiring",
      "Rat.denseRange_cast",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.instOfNat",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.norm_ofNat",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "RelIso.mk",
      "RelIso.toEquiv",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingEquiv",
      "RingEquiv.apply_symm_apply",
      "RingEquiv.ext",
      "RingEquiv.injective",
      "RingEquiv.instEquivLike",
      "RingEquiv.instRingEquivClass",
      "RingEquiv.map_mul",
      "RingEquiv.map_zero",
      "RingEquiv.mk",
      "RingEquiv.refl",
      "RingEquiv.symm",
      "RingEquiv.symm_apply_apply",
      "RingEquiv.toRingHom",
      "RingEquivClass.toNonUnitalRingHomClass",
      "RingEquivClass.toRingHomClass",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toLinearMapClassNNRat",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomClass.toRingHom",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.of_ringEquiv",
      "RingHomInvPair.of_ringEquiv_symm",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "SProd.sprod",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearEquivClass.instSemilinearMapClass",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Finite",
      "Set.Finite.fintype",
      "Set.Finite.image",
      "Set.Finite.insert",
      "Set.Finite.union",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Nonempty.to_subtype",
      "Set.Pairwise",
      "Set.Subset.antisymm",
      "Set.Subset.rfl",
      "Set.Subset.trans",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.empty_subset",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.extremePoints",
      "Set.finite_range",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.image_congr",
      "Set.image_empty",
      "Set.image_id",
      "Set.image_image",
      "Set.image_mono",
      "Set.image_pair",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.instAntisymmSubset",
      "Set.instBoundedOrder",
      "Set.instCompl",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSProd",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_compl_iff",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_range_self",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.not_nonempty_iff_eq_empty",
      "Set.pairwise_singleton",
      "Set.pi",
      "Set.preimage",
      "Set.preimage_empty",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sUnion",
      "Set.singleton_nonempty",
      "Set.singleton_subset_iff",
      "Set.subset_sUnion_of_mem",
      "Set.subset_union_left",
      "Set.subset_union_right",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.union_subset",
      "Set.univ",
      "SetLike",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "SetLike.le_def",
      "SetLike.mem_coe",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.Quotient.addCommMonoid",
      "Submodule.Quotient.module",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.exists_le_ker_of_notMem",
      "Submodule.ext",
      "Submodule.finiteDimensional_sup",
      "Submodule.hasQuotient",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instInfSet",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.liftQ",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_iInf",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_pair",
      "Submodule.mem_span_range_iff_exists_fun",
      "Submodule.mem_span_singleton",
      "Submodule.mem_span_singleton_self",
      "Submodule.mem_sup",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.mkQ",
      "Submodule.mk_mem_projectivization_iff",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.projectivization",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_eq_iSup_of_singleton_spans",
      "Submodule.span_le",
      "Submodule.span_singleton_le_iff_mem",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_mem",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "Submodule.subtypeL",
      "Submodule.sum_mem",
      "Submodule.topEquiv",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submodule.zero_mem",
      "SubmoduleClass.module",
      "SubmoduleClass.toNormedSpace",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.instDecidableEq",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.range_coe_subtype",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.mul_right",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "Superset",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Topology.IsInducing",
      "Topology.IsInducing.closure_eq_preimage_closure_image",
      "Topology.IsInducing.piMap",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "Units",
      "Units.instMonoid",
      "Units.instMulAction",
      "Units.instOne",
      "Units.instSMul",
      "Units.mk0",
      "Units.val",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "Zero",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_assoc",
      "add_comm",
      "add_le_add",
      "add_left_cancel",
      "add_left_comm",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_neg_cancel_comm_assoc",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_inj._simp_1",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "algebraMap.coe_zero",
      "and_congr",
      "and_congr_right",
      "and_self",
      "binderNameHint",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_minimal",
      "closure_singleton",
      "commute_iff_eq",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_apply",
      "continuous_const",
      "continuous_finset_sum",
      "continuous_id",
      "continuous_id'",
      "continuous_norm",
      "continuous_pi",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_nonneg",
      "dist_self",
      "dist_zero_right",
      "dite",
      "dite_cond_eq_false",
      "dite_cond_eq_true",
      "div_eq_mul_inv",
      "div_le_iff₀",
      "div_le_one",
      "div_lt_iff₀",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_sub_iff_add_eq",
      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_nat_gt",
      "exists_ne",
      "exists_pair_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "forall_eq",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_lt_self_iff._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "iInf",
      "iSup",
      "iSupIndep",
      "iSupIndep_map_orderIso_iff",
      "iSup_congr_Prop",
      "iSup_image",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_eq_zero",
      "inner_self_ne_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_sum",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqProd",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDecidableOr",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instDistribSMul",
      "instFaithfulSMul_1",
      "instFintypeOption",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instHasSummableGeomSeries",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsConcreteLE",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsEmptyFalse",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsSimpleModule",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulActionNatOfAddMonoid",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNatCastInt",
      "instNeZeroNatHAdd_1",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instNonemptyProd",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransIff",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "inv_smul_smul₀",
      "isClosed_biInter",
      "isClosed_closure",
      "isClosed_eq",
      "isClosed_univ",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isOpen_pi_iff",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_max_right",
      "le_min",
      "le_of_eq",
      "le_of_le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_div_iff₀",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_lt_of_le",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "lt_trans",
      "map_add",
      "map_div₀",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_natCast",
      "map_neg",
      "map_one",
      "map_pow",
      "map_ratCast",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_closure_iff",
      "mem_extremePoints_iff_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_add_eq_zero",
      "neg_add_rev",
      "neg_apply",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_div",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_or",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_false",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "openSegment_symm",
      "optParam",
      "or_comm",
      "or_self",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_ne_zero",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingAut",
      "starRingEnd",
      "star_div₀",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "subset_closure",
      "subsingleton_or_nontrivial",
      "sum_apply",
      "sum_inner",
      "summable_geometric_of_norm_lt_one",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_le",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_iff_dist_tendsto_zero",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_ite_eq",
      "tsum_star",
      "two_mul",
      "two_smul",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.normalPart_semilinear_factors_continuous": [
      "AddCancelCommMonoid.toAddLeftCancelMonoid",
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.toAddCancelCommMonoid",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelMonoid.toAddLeftCancelSemigroup",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instAddMonoidHomClass",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Antitone",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "BoundedOrder.toOrderTop",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "Cardinal",
      "Cardinal.instLE",
      "Cardinal.instNatCast",
      "Cardinal.lift",
      "Cardinal.lift_mk_le'",
      "Cardinal.lift_ofNat",
      "Cardinal.lift_uzero",
      "Cardinal.mk",
      "Cardinal.mk_fintype",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choice",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_forall",
      "Classical.not_not",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.isClosed_iff",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "Compl.compl",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toBoundedOrder",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toCompleteSemilatticeSup",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteLattice.toLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSemilatticeSup.toSupSet",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRatCast",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_add_im",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
      "ConditionallyCompleteLattice.toLattice",
      "ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup",
      "ConditionallyCompletePartialOrderSup.toSupSet",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.norm",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv",
      "ContinuousLinearEquiv.symm",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.map_tsum",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.opNorm_zero",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousLinearMapWOT",
      "ContinuousLinearMapWOT.continuous_dual_apply",
      "ContinuousLinearMapWOT.inducingFn",
      "ContinuousLinearMapWOT.instAddCommGroup",
      "ContinuousLinearMapWOT.instFunLike",
      "ContinuousLinearMapWOT.instModule",
      "ContinuousLinearMapWOT.instTopologicalSpace",
      "ContinuousLinearMapWOT.isInducing_inducingFn",
      "ContinuousLinearMapWOT.ofCLM",
      "ContinuousLinearMapWOT.toCLM",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.equalizer",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Directed",
      "Disjoint",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.isSimpleRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRatCast",
      "DivisionRing.toRing",
      "DivisionSemiring.isPrincipalIdealRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.subset",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Eq.trans_ne",
      "Equiv",
      "Equiv.Perm.star",
      "Equiv.apply_symm_apply",
      "Equiv.injective",
      "Equiv.instEquivLike",
      "Equiv.invFun",
      "Equiv.mk",
      "Equiv.ofBijective",
      "Equiv.prodComm",
      "Equiv.surjective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "Equiv.symm_image_image",
      "Equiv.toFun",
      "Equiv.trans",
      "EquivLike.toFunLike",
      "EuclideanDomain.toNontrivial",
      "EuclideanDomain.to_principal_ideal_domain",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.instIsLocalRing",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toEuclideanDomain",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "Fin",
      "Fin.ext_iff",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.isLt",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.Subtype.fintype",
      "Finset.card",
      "Finset.card_singleton",
      "Finset.decidableMem",
      "Finset.induction_on",
      "Finset.instEmptyCollection",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.instSingleton",
      "Finset.mem_insert",
      "Finset.mem_insert_of_mem",
      "Finset.mem_insert_self",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.notMem_empty._simp_1",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_ite_eq",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Finset.univ_unique",
      "Finsupp",
      "Finsupp.ext",
      "Finsupp.instAdd",
      "Finsupp.instAddCommGroup",
      "Finsupp.instAddCommMonoid",
      "Finsupp.instFunLike",
      "Finsupp.instSub",
      "Finsupp.instZero",
      "Finsupp.linearCombination",
      "Finsupp.mapRange",
      "Finsupp.mapRange.congr_simp",
      "Finsupp.mapRange_mapRange",
      "Finsupp.mapRange_mapRange._proof_1",
      "Finsupp.mem_support_iff",
      "Finsupp.module",
      "Finsupp.single",
      "Finsupp.single_eq_of_ne",
      "Finsupp.single_eq_same",
      "Finsupp.single_sub",
      "Finsupp.smulZeroClass",
      "Finsupp.smul_single",
      "Finsupp.support",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "Fintype.sum_option",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Embedding",
      "Function.Embedding.injective",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.Injective.ne",
      "Function.Involutive",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "Function.hasSMul",
      "Function.instFunLikeEmbedding",
      "Function.update",
      "Function.update_of_ne",
      "Function.update_self",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasQuotient.Quotient",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.antisymm",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.of_eq",
      "Iff.rfl",
      "Iff.symm",
      "Iff.trans",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.add_one_le_of_lt",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instLEInt",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.instSub",
      "Int.mul",
      "Int.natCast_add",
      "Int.natCast_nonneg",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Int.sub_nonneg_of_le",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.completeSpace_coe",
      "IsClosed.inter",
      "IsClosed.mem_of_tendsto",
      "IsClosed.preimage",
      "IsCoatom",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.inter_right",
      "IsCompact.nonempty_iInter_of_directed_nonempty_isCompact_isClosed",
      "IsCompact.of_isClosed_subset",
      "IsConcreteLE",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsEmpty.forall_iff._simp_1",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsLocalRing.toNontrivial",
      "IsModuleTopology.toContinuousSMul",
      "IsNoetherianRing.strongRankCondition",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsSimpleRing.instNontrivial",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsTopologicalSemiring.toIsModuleTopology",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_eq",
      "LE.le.trans_lt",
      "LE.mk",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "LT.mk",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Lean.Omega.Coeffs.ofList",
      "Lean.Omega.Constraint.addInequality_sat",
      "Lean.Omega.Constraint.combine_sat'",
      "Lean.Omega.Constraint.isImpossible",
      "Lean.Omega.Constraint.mk",
      "Lean.Omega.Constraint.not_sat'_of_isImpossible",
      "Lean.Omega.Int.add_congr",
      "Lean.Omega.Int.ofNat_le_of_le",
      "Lean.Omega.Int.ofNat_lt_of_lt",
      "Lean.Omega.Int.sub_congr",
      "Lean.Omega.LinearCombo",
      "Lean.Omega.LinearCombo.add_eval",
      "Lean.Omega.LinearCombo.coordinate",
      "Lean.Omega.LinearCombo.coordinate_eval_0",
      "Lean.Omega.LinearCombo.coordinate_eval_1",
      "Lean.Omega.LinearCombo.coordinate_eval_2",
      "Lean.Omega.LinearCombo.eval",
      "Lean.Omega.LinearCombo.instAdd",
      "Lean.Omega.LinearCombo.instSub",
      "Lean.Omega.LinearCombo.mk",
      "Lean.Omega.LinearCombo.sub_eval",
      "Lean.Omega.combo_sat'",
      "Lean.Omega.tidy_sat",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.apply_symm_apply",
      "LinearEquiv.continuous_symm",
      "LinearEquiv.injective",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.instSemilinearEquivClass",
      "LinearEquiv.map_add",
      "LinearEquiv.map_smulₛₗ",
      "LinearEquiv.mk",
      "LinearEquiv.surjective",
      "LinearEquiv.symm",
      "LinearEquiv.symm_apply_apply",
      "LinearEquiv.toContinuousLinearEquivOfContinuous",
      "LinearEquiv.toLinearMap",
      "LinearIndependent",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.coe_sum",
      "LinearMap.comp",
      "LinearMap.congr_fun",
      "LinearMap.continuous_iff_isClosed_ker",
      "LinearMap.continuous_of_seq_closed_graph",
      "LinearMap.exists_extend",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.isCoatom_ker_of_surjective",
      "LinearMap.ker",
      "LinearMap.ker_pi",
      "LinearMap.ker_zero",
      "LinearMap.mem_ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.pi",
      "LinearMap.quotKerEquivRange",
      "LinearMap.quotKerEquivRange_symm_apply_image",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.natCast_nonneg",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.atom_pf'",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Matrix.cons_val_fin_one",
      "Matrix.vecCons",
      "Matrix.vecEmpty",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.continuous_iff",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.isOpen_iff",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.Basis",
      "Module.Basis.coord",
      "Module.Basis.instFunLike",
      "Module.Basis.linearIndependent",
      "Module.Basis.mem_span_image",
      "Module.Basis.mk",
      "Module.Basis.mk_apply",
      "Module.Basis.ne_zero",
      "Module.Basis.repr",
      "Module.Basis.repr_linearCombination",
      "Module.Basis.repr_self",
      "Module.Basis.repr_symm_apply",
      "Module.Basis.span_eq",
      "Module.Basis.unitsSMul",
      "Module.Basis.unitsSMul_apply",
      "Module.Finite",
      "Module.Finite.of_basis",
      "Module.Finite.of_surjective",
      "Module.Free.ChooseBasisIndex",
      "Module.Free.chooseBasis",
      "Module.Free.of_divisionRing",
      "Module.Free.rank_eq_card_chooseBasisIndex",
      "Module.complexToReal",
      "Module.finBasis",
      "Module.finrank",
      "Module.finrank_eq_card_basis",
      "Module.rank",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "MulAction",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionSemiHomClass.map_smulₛₗ",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.below",
      "Nat.ble",
      "Nat.brecOn",
      "Nat.casesOn",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_add._simp_1",
      "Nat.cast_inj._simp_1",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.decLt",
      "Nat.decidableBallLT",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instLinearOrder",
      "Nat.instMax",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_induction",
      "Nat.le_of_lt",
      "Nat.le_of_not_lt",
      "Nat.le_refl",
      "Nat.lt_or_gt_of_ne",
      "Nat.lt_succ_self",
      "Nat.mul",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.toAddSubmonoidClass",
      "NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring",
      "Nonempty",
      "Nonempty.casesOn",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "Nontrivial",
      "Nontrivial.mk",
      "Nontrivial.to_nonempty",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Option",
      "Option.elim'",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Or.resolve_right",
      "Order.Frame.toHeytingAlgebra",
      "Order.IsIdeal.Directed",
      "Order.IsIdeal.IsLowerSet",
      "Order.IsIdeal.Nonempty",
      "Order.IsPFilter",
      "Order.IsPFilter.of_def",
      "OrderBot.toBot",
      "OrderDual",
      "OrderDual.instLE",
      "OrderDual.ofDual",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderIso.apply_symm_apply",
      "OrderIso.injective",
      "OrderIso.map_iSup",
      "OrderIso.map_sup",
      "OrderIso.map_top",
      "OrderIso.monotone",
      "OrderIso.symm",
      "OrderIso.symm_apply_apply",
      "OrderIso.trans",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "PUnit.fintype",
      "PUnit.instUnique",
      "PUnit.unit",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.Function.module",
      "Pi.addCommGroup",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instSMul",
      "Pi.instSub",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_apply",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "Pi.topologicalSpace",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder",
      "Preorder.mk",
      "Preorder.toLE",
      "Preorder.toLT",
      "PrincipalIdealRing.isNoetherianRing",
      "Prod",
      "Prod.algebra",
      "Prod.casesOn",
      "Prod.ext",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.swap",
      "Prod.swap_swap",
      "Prod.toNorm",
      "Projectivization",
      "Projectivization.Independent",
      "Projectivization.Independent.mk",
      "Projectivization.Subspace",
      "Projectivization.Subspace.instCompleteLattice",
      "Projectivization.Subspace.instPartialOrder",
      "Projectivization.Subspace.instSetLike",
      "Projectivization.Subspace.mem_add",
      "Projectivization.Subspace.mem_submodule_iff",
      "Projectivization.Subspace.mk",
      "Projectivization.Subspace.span",
      "Projectivization.Subspace.spanCarrier",
      "Projectivization.Subspace.spanCarrier.rec",
      "Projectivization.Subspace.span_coe",
      "Projectivization.Subspace.span_le_span",
      "Projectivization.Subspace.span_le_subspace_iff",
      "Projectivization.Subspace.submodule",
      "Projectivization.Subspace.subset_span",
      "Projectivization.independent_iff",
      "Projectivization.independent_iff_iSupIndep",
      "Projectivization.instNonemptyOfNontrivial",
      "Projectivization.mk",
      "Projectivization.mk.congr_simp",
      "Projectivization.mk_eq_mk_iff'",
      "Projectivization.mk_rep",
      "Projectivization.rep",
      "Projectivization.rep_nonzero",
      "Projectivization.submodule",
      "Projectivization.submodule_eq",
      "Projectivization.submodule_injective",
      "Projectivization.submodule_mk",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_natCast",
      "RCLike.norm_ofReal",
      "RCLike.norm_sq_eq_def",
      "RCLike.ofReal",
      "RCLike.one_im",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toCompleteSpace",
      "RCLike.toDecidableEq",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.cast",
      "Rat.cast_zero",
      "Rat.commSemiring",
      "Rat.denseRange_cast",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.instOfNat",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.norm_ofNat",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "RelIso.mk",
      "RelIso.toEquiv",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingEquiv",
      "RingEquiv.apply_symm_apply",
      "RingEquiv.ext",
      "RingEquiv.injective",
      "RingEquiv.instEquivLike",
      "RingEquiv.instRingEquivClass",
      "RingEquiv.map_mul",
      "RingEquiv.map_zero",
      "RingEquiv.mk",
      "RingEquiv.refl",
      "RingEquiv.symm",
      "RingEquiv.symm_apply_apply",
      "RingEquiv.toRingHom",
      "RingEquivClass.toNonUnitalRingHomClass",
      "RingEquivClass.toRingHomClass",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toLinearMapClassNNRat",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomClass.toRingHom",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.of_ringEquiv",
      "RingHomInvPair.of_ringEquiv_symm",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "SProd.sprod",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearEquivClass.instSemilinearMapClass",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Finite",
      "Set.Finite.fintype",
      "Set.Finite.image",
      "Set.Finite.insert",
      "Set.Finite.union",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Nonempty.to_subtype",
      "Set.Pairwise",
      "Set.Subset.antisymm",
      "Set.Subset.rfl",
      "Set.Subset.trans",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.empty_subset",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.extremePoints",
      "Set.finite_range",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.image_congr",
      "Set.image_empty",
      "Set.image_id",
      "Set.image_image",
      "Set.image_mono",
      "Set.image_pair",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.instAntisymmSubset",
      "Set.instBoundedOrder",
      "Set.instCompl",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSProd",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_compl_iff",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_range_self",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.not_nonempty_iff_eq_empty",
      "Set.pairwise_singleton",
      "Set.pi",
      "Set.preimage",
      "Set.preimage_empty",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sUnion",
      "Set.singleton_nonempty",
      "Set.singleton_subset_iff",
      "Set.subset_sUnion_of_mem",
      "Set.subset_union_left",
      "Set.subset_union_right",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.union_subset",
      "Set.univ",
      "SetLike",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "SetLike.le_def",
      "SetLike.mem_coe",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.Quotient.addCommMonoid",
      "Submodule.Quotient.module",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.exists_le_ker_of_notMem",
      "Submodule.ext",
      "Submodule.finiteDimensional_sup",
      "Submodule.hasQuotient",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instInfSet",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.liftQ",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_iInf",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_pair",
      "Submodule.mem_span_range_iff_exists_fun",
      "Submodule.mem_span_singleton",
      "Submodule.mem_span_singleton_self",
      "Submodule.mem_sup",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.mkQ",
      "Submodule.mk_mem_projectivization_iff",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.projectivization",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_eq_iSup_of_singleton_spans",
      "Submodule.span_le",
      "Submodule.span_singleton_le_iff_mem",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_mem",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "Submodule.subtypeL",
      "Submodule.sum_mem",
      "Submodule.topEquiv",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submodule.zero_mem",
      "SubmoduleClass.module",
      "SubmoduleClass.toNormedSpace",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.instDecidableEq",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.range_coe_subtype",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.mul_right",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "Superset",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Topology.IsInducing",
      "Topology.IsInducing.closure_eq_preimage_closure_image",
      "Topology.IsInducing.piMap",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "Units",
      "Units.instMonoid",
      "Units.instMulAction",
      "Units.instOne",
      "Units.instSMul",
      "Units.mk0",
      "Units.val",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "Zero",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_assoc",
      "add_comm",
      "add_le_add",
      "add_left_cancel",
      "add_left_comm",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_neg_cancel_comm_assoc",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_inj._simp_1",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "algebraMap.coe_zero",
      "and_congr",
      "and_congr_right",
      "and_self",
      "binderNameHint",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_minimal",
      "closure_singleton",
      "commute_iff_eq",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_apply",
      "continuous_const",
      "continuous_finset_sum",
      "continuous_id",
      "continuous_id'",
      "continuous_norm",
      "continuous_pi",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_nonneg",
      "dist_self",
      "dist_zero_right",
      "dite",
      "dite_cond_eq_false",
      "dite_cond_eq_true",
      "div_eq_mul_inv",
      "div_le_iff₀",
      "div_le_one",
      "div_lt_iff₀",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_sub_iff_add_eq",
      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_nat_gt",
      "exists_ne",
      "exists_pair_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "forall_eq",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_lt_self_iff._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "iInf",
      "iSup",
      "iSupIndep",
      "iSupIndep_map_orderIso_iff",
      "iSup_congr_Prop",
      "iSup_image",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_eq_zero",
      "inner_self_ne_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_sum",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqProd",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDecidableOr",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instDistribSMul",
      "instFaithfulSMul_1",
      "instFintypeOption",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instHasSummableGeomSeries",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsConcreteLE",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsEmptyFalse",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsSimpleModule",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulActionNatOfAddMonoid",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNatCastInt",
      "instNeZeroNatHAdd_1",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instNonemptyProd",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransIff",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "inv_smul_smul₀",
      "isClosed_biInter",
      "isClosed_closure",
      "isClosed_eq",
      "isClosed_univ",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isOpen_pi_iff",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_max_right",
      "le_min",
      "le_of_eq",
      "le_of_le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_div_iff₀",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_lt_of_le",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "lt_trans",
      "map_add",
      "map_div₀",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_natCast",
      "map_neg",
      "map_one",
      "map_pow",
      "map_ratCast",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_closure_iff",
      "mem_extremePoints_iff_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_add_eq_zero",
      "neg_add_rev",
      "neg_apply",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_div",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_or",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_false",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "openSegment_symm",
      "optParam",
      "or_comm",
      "or_self",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
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      "smul_left_injective",
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      "smul_mul_smul_comm",
      "smul_ne_zero",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingAut",
      "starRingEnd",
      "star_div₀",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
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      "sub_eq_zero_of_eq",
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      "sub_lt_self",
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      "sub_nonneg._simp_1",
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      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "subset_closure",
      "subsingleton_or_nontrivial",
      "sum_apply",
      "sum_inner",
      "summable_geometric_of_norm_lt_one",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_le",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_iff_dist_tendsto_zero",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_ite_eq",
      "tsum_star",
      "two_mul",
      "two_smul",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.exists_normalPart_selected_classification_eq": [
      "AddCancelCommMonoid.toAddLeftCancelMonoid",
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.toAddCancelCommMonoid",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelMonoid.toAddLeftCancelSemigroup",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instAddMonoidHomClass",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.toAddGroup._proof_6",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.coe_finsetSum",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Antitone",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "BoundedOrder.toOrderTop",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "Cardinal",
      "Cardinal.aleph0",
      "Cardinal.commSemiring",
      "Cardinal.instLE",
      "Cardinal.instNatCast",
      "Cardinal.instOne",
      "Cardinal.isOrderedRing",
      "Cardinal.lift",
      "Cardinal.lift_mk_le'",
      "Cardinal.lift_ofNat",
      "Cardinal.lift_uzero",
      "Cardinal.linearOrder",
      "Cardinal.mk",
      "Cardinal.mk_fintype",
      "Cardinal.natCast_lt_aleph0",
      "Cardinal.partialOrder",
      "Cardinal.two_le_iff_one_lt",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choice",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_forall",
      "Classical.not_imp._simp_2",
      "Classical.not_not",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.isClosed_iff",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "Compl.compl",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toBoundedOrder",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toCompleteSemilatticeSup",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteLattice.toLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSemilatticeSup.toSupSet",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRatCast",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_add_im",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
      "ConditionallyCompleteLattice.toLattice",
      "ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup",
      "ConditionallyCompletePartialOrderSup.toSupSet",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.norm",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv",
      "ContinuousLinearEquiv.continuousSemilinearEquivClass",
      "ContinuousLinearEquiv.equivLike",
      "ContinuousLinearEquiv.injective",
      "ContinuousLinearEquiv.mk",
      "ContinuousLinearEquiv.symm",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearEquiv.toLinearEquiv",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.map_tsum",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.opNorm_zero",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.sum_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousLinearMapWOT",
      "ContinuousLinearMapWOT.continuous_dual_apply",
      "ContinuousLinearMapWOT.inducingFn",
      "ContinuousLinearMapWOT.instAddCommGroup",
      "ContinuousLinearMapWOT.instFunLike",
      "ContinuousLinearMapWOT.instModule",
      "ContinuousLinearMapWOT.instTopologicalSpace",
      "ContinuousLinearMapWOT.isInducing_inducingFn",
      "ContinuousLinearMapWOT.ofCLM",
      "ContinuousLinearMapWOT.toCLM",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearEquivClass.continuousSemilinearMapClass",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.equalizer",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Directed",
      "Disjoint",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.isSimpleRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRatCast",
      "DivisionRing.toRing",
      "DivisionSemiring.isPrincipalIdealRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.subset",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Eq.trans_ne",
      "Equiv",
      "Equiv.Perm.star",
      "Equiv.apply_symm_apply",
      "Equiv.ext",
      "Equiv.injective",
      "Equiv.instEquivLike",
      "Equiv.invFun",
      "Equiv.mk",
      "Equiv.ofBijective",
      "Equiv.prodComm",
      "Equiv.surjective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "Equiv.symm_image_image",
      "Equiv.toFun",
      "Equiv.trans",
      "EquivLike.toFunLike",
      "EuclideanDomain.toNontrivial",
      "EuclideanDomain.to_principal_ideal_domain",
      "EuclideanSpace",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.instIsLocalRing",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toEuclideanDomain",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "Fin",
      "Fin.ext_iff",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.isLt",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.Subtype.fintype",
      "Finset.card",
      "Finset.card_singleton",
      "Finset.decidableMem",
      "Finset.induction_on",
      "Finset.instEmptyCollection",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.instSingleton",
      "Finset.mem_insert",
      "Finset.mem_insert_of_mem",
      "Finset.mem_insert_self",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.notMem_empty._simp_1",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.smul_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_comm",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_eq_zero",
      "Finset.sum_ite_eq",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.sum_smul",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Finset.univ_unique",
      "Finsupp",
      "Finsupp.ext",
      "Finsupp.instAdd",
      "Finsupp.instAddCommGroup",
      "Finsupp.instAddCommMonoid",
      "Finsupp.instFunLike",
      "Finsupp.instSub",
      "Finsupp.instZero",
      "Finsupp.linearCombination",
      "Finsupp.mapRange",
      "Finsupp.mapRange.congr_simp",
      "Finsupp.mapRange_mapRange",
      "Finsupp.mapRange_mapRange._proof_1",
      "Finsupp.mem_support_iff",
      "Finsupp.module",
      "Finsupp.single",
      "Finsupp.single_eq_of_ne",
      "Finsupp.single_eq_same",
      "Finsupp.single_sub",
      "Finsupp.smulZeroClass",
      "Finsupp.smul_single",
      "Finsupp.support",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "Fintype.sum_option",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Embedding",
      "Function.Embedding.injective",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.Injective.ne",
      "Function.Involutive",
      "Function.LeftInverse",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "Function.hasSMul",
      "Function.instFunLikeEmbedding",
      "Function.update",
      "Function.update_of_ne",
      "Function.update_self",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasQuotient.Quotient",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.antisymm",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.of_eq",
      "Iff.rfl",
      "Iff.symm",
      "Iff.trans",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toDual",
      "InnerProductSpace.toDual_symm_apply",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.add_one_le_of_lt",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instLEInt",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.instSub",
      "Int.mul",
      "Int.natCast_add",
      "Int.natCast_nonneg",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Int.sub_nonneg_of_le",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsCancelMulZero.toIsRightCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.completeSpace_coe",
      "IsClosed.inter",
      "IsClosed.mem_of_tendsto",
      "IsClosed.preimage",
      "IsCoatom",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.inter_right",
      "IsCompact.nonempty_iInter_of_directed_nonempty_isCompact_isClosed",
      "IsCompact.of_isClosed_subset",
      "IsConcreteLE",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsEmpty.forall_iff._simp_1",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsLocalRing.toNontrivial",
      "IsModuleTopology.toContinuousSMul",
      "IsNoetherianRing.strongRankCondition",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsSimpleRing.instNontrivial",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsTopologicalSemiring.toIsModuleTopology",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_eq",
      "LE.le.trans_lt",
      "LE.mk",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "LT.mk",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Lean.Omega.Coeffs.ofList",
      "Lean.Omega.Constraint.addInequality_sat",
      "Lean.Omega.Constraint.combine_sat'",
      "Lean.Omega.Constraint.isImpossible",
      "Lean.Omega.Constraint.mk",
      "Lean.Omega.Constraint.not_sat'_of_isImpossible",
      "Lean.Omega.Int.add_congr",
      "Lean.Omega.Int.ofNat_le_of_le",
      "Lean.Omega.Int.ofNat_lt_of_lt",
      "Lean.Omega.Int.sub_congr",
      "Lean.Omega.LinearCombo",
      "Lean.Omega.LinearCombo.add_eval",
      "Lean.Omega.LinearCombo.coordinate",
      "Lean.Omega.LinearCombo.coordinate_eval_0",
      "Lean.Omega.LinearCombo.coordinate_eval_1",
      "Lean.Omega.LinearCombo.coordinate_eval_2",
      "Lean.Omega.LinearCombo.eval",
      "Lean.Omega.LinearCombo.instAdd",
      "Lean.Omega.LinearCombo.instSub",
      "Lean.Omega.LinearCombo.mk",
      "Lean.Omega.LinearCombo.sub_eval",
      "Lean.Omega.combo_sat'",
      "Lean.Omega.tidy_sat",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.apply_symm_apply",
      "LinearEquiv.continuous_symm",
      "LinearEquiv.injective",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.instSemilinearEquivClass",
      "LinearEquiv.map_add",
      "LinearEquiv.map_smulₛₗ",
      "LinearEquiv.mk",
      "LinearEquiv.surjective",
      "LinearEquiv.symm",
      "LinearEquiv.symm_apply_apply",
      "LinearEquiv.toContinuousLinearEquivOfContinuous",
      "LinearEquiv.toLinearMap",
      "LinearIndependent",
      "LinearIndependent.eq_of_pair",
      "LinearIndependent.pair_iff'",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.coe_sum",
      "LinearMap.comp",
      "LinearMap.congr_fun",
      "LinearMap.continuous_iff_isClosed_ker",
      "LinearMap.continuous_of_seq_closed_graph",
      "LinearMap.exists_extend",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.isCoatom_ker_of_surjective",
      "LinearMap.ker",
      "LinearMap.ker_pi",
      "LinearMap.ker_zero",
      "LinearMap.map_smulₛₗ",
      "LinearMap.mem_ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.pi",
      "LinearMap.quotKerEquivRange",
      "LinearMap.quotKerEquivRange_symm_apply_image",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.sum_apply",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toDecidableLT",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_eq_false",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.natCast_nonneg",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Push.not_forall_eq",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.atom_pf'",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Matrix.cons_val_fin_one",
      "Matrix.of",
      "Matrix.vecCons",
      "Matrix.vecEmpty",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.continuous_iff",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.isOpen_iff",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.Basis",
      "Module.Basis.coord",
      "Module.Basis.instFunLike",
      "Module.Basis.linearIndependent",
      "Module.Basis.mem_span_image",
      "Module.Basis.mk",
      "Module.Basis.mk_apply",
      "Module.Basis.ne_zero",
      "Module.Basis.repr",
      "Module.Basis.repr_linearCombination",
      "Module.Basis.repr_self",
      "Module.Basis.repr_symm_apply",
      "Module.Basis.span_eq",
      "Module.Basis.unitsSMul",
      "Module.Basis.unitsSMul_apply",
      "Module.Finite",
      "Module.Finite.of_basis",
      "Module.Finite.of_surjective",
      "Module.Free.ChooseBasisIndex",
      "Module.Free.chooseBasis",
      "Module.Free.of_divisionRing",
      "Module.Free.rank_eq_card_chooseBasisIndex",
      "Module.complexToReal",
      "Module.finBasis",
      "Module.finrank",
      "Module.finrank_eq_card_basis",
      "Module.rank",
      "Module.rank_lt_aleph0_iff",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "MulAction",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionSemiHomClass.map_smulₛₗ",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.below",
      "Nat.ble",
      "Nat.brecOn",
      "Nat.casesOn",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_add._simp_1",
      "Nat.cast_inj._simp_1",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.decLt",
      "Nat.decidableBallLT",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instLinearOrder",
      "Nat.instMax",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_induction",
      "Nat.le_of_lt",
      "Nat.le_of_not_lt",
      "Nat.le_refl",
      "Nat.lt_or_gt_of_ne",
      "Nat.lt_succ_self",
      "Nat.mul",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebra.toNonUnitalSubalgebra",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebra.toSubmodule",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.toAddSubmonoidClass",
      "NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring",
      "Nonempty",
      "Nonempty.casesOn",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "Nontrivial",
      "Nontrivial.mk",
      "Nontrivial.to_nonempty",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Option",
      "Option.elim'",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Or.resolve_right",
      "Order.Frame.toHeytingAlgebra",
      "Order.IsIdeal.Directed",
      "Order.IsIdeal.IsLowerSet",
      "Order.IsIdeal.Nonempty",
      "Order.IsPFilter",
      "Order.IsPFilter.of_def",
      "OrderBot.toBot",
      "OrderDual",
      "OrderDual.instLE",
      "OrderDual.ofDual",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderIso.apply_symm_apply",
      "OrderIso.injective",
      "OrderIso.map_iSup",
      "OrderIso.map_sup",
      "OrderIso.map_top",
      "OrderIso.monotone",
      "OrderIso.symm",
      "OrderIso.symm_apply_apply",
      "OrderIso.trans",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.repr",
      "OrthonormalBasis.repr_apply_apply",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "OrthonormalBasis.sum_repr",
      "PUnit.fintype",
      "PUnit.instUnique",
      "PUnit.unit",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.Function.module",
      "Pi.addCommGroup",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instSMul",
      "Pi.instSub",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_apply",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "Pi.topologicalSpace",
      "PiLp.innerProductSpace._proof_1",
      "PiLp.seminormedAddCommGroup",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder",
      "Preorder.mk",
      "Preorder.toLE",
      "Preorder.toLT",
      "PrincipalIdealRing.isNoetherianRing",
      "Prod",
      "Prod.algebra",
      "Prod.casesOn",
      "Prod.ext",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.swap",
      "Prod.swap_swap",
      "Prod.toNorm",
      "Projectivization",
      "Projectivization.Independent",
      "Projectivization.Independent.mk",
      "Projectivization.Subspace",
      "Projectivization.Subspace.instCompleteLattice",
      "Projectivization.Subspace.instPartialOrder",
      "Projectivization.Subspace.instSetLike",
      "Projectivization.Subspace.mem_add",
      "Projectivization.Subspace.mem_submodule_iff",
      "Projectivization.Subspace.mk",
      "Projectivization.Subspace.span",
      "Projectivization.Subspace.spanCarrier",
      "Projectivization.Subspace.spanCarrier.rec",
      "Projectivization.Subspace.span_coe",
      "Projectivization.Subspace.span_le_span",
      "Projectivization.Subspace.span_le_subspace_iff",
      "Projectivization.Subspace.submodule",
      "Projectivization.Subspace.subset_span",
      "Projectivization.independent_iff",
      "Projectivization.independent_iff_iSupIndep",
      "Projectivization.instNonemptyOfNontrivial",
      "Projectivization.mk",
      "Projectivization.mk.congr_simp",
      "Projectivization.mk_eq_mk_iff'",
      "Projectivization.mk_rep",
      "Projectivization.rep",
      "Projectivization.rep_nonzero",
      "Projectivization.submodule",
      "Projectivization.submodule_eq",
      "Projectivization.submodule_injective",
      "Projectivization.submodule_mk",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instCStarRing",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_natCast",
      "RCLike.norm_ofReal",
      "RCLike.norm_sq_eq_def",
      "RCLike.ofReal",
      "RCLike.one_im",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toCompleteSpace",
      "RCLike.toDecidableEq",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.cast",
      "Rat.cast_zero",
      "Rat.commSemiring",
      "Rat.denseRange_cast",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.instOfNat",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.norm_ofNat",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "RelIso.mk",
      "RelIso.toEquiv",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingEquiv",
      "RingEquiv.apply_symm_apply",
      "RingEquiv.ext",
      "RingEquiv.injective",
      "RingEquiv.instEquivLike",
      "RingEquiv.instRingEquivClass",
      "RingEquiv.map_mul",
      "RingEquiv.map_zero",
      "RingEquiv.mk",
      "RingEquiv.refl",
      "RingEquiv.symm",
      "RingEquiv.symm_apply_apply",
      "RingEquiv.toRingHom",
      "RingEquivClass.toNonUnitalRingHomClass",
      "RingEquivClass.toRingHomClass",
      "RingHom",
      "RingHom.ext",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toLinearMapClassNNRat",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomClass.toRingHom",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomCompTriple.right_ids",
      "RingHomInvPair",
      "RingHomInvPair.comp_apply_eq",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.of_ringEquiv",
      "RingHomInvPair.of_ringEquiv_symm",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomIsometric.starRingEnd",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulMemClass.smul_mem",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "SProd.sprod",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearEquivClass.instSemilinearMapClass",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Finite",
      "Set.Finite.fintype",
      "Set.Finite.image",
      "Set.Finite.insert",
      "Set.Finite.union",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Nonempty.to_subtype",
      "Set.Pairwise",
      "Set.Subset.antisymm",
      "Set.Subset.rfl",
      "Set.Subset.trans",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.empty_subset",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.extremePoints",
      "Set.finite_range",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.image_congr",
      "Set.image_empty",
      "Set.image_id",
      "Set.image_image",
      "Set.image_mono",
      "Set.image_pair",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.instAntisymmSubset",
      "Set.instBoundedOrder",
      "Set.instCompl",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSProd",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_compl_iff",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_range_self",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.not_nonempty_iff_eq_empty",
      "Set.pairwise_singleton",
      "Set.pi",
      "Set.preimage",
      "Set.preimage_empty",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sUnion",
      "Set.singleton_nonempty",
      "Set.singleton_subset_iff",
      "Set.subset_sUnion_of_mem",
      "Set.subset_union_left",
      "Set.subset_union_right",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.union_subset",
      "Set.univ",
      "SetLike",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "SetLike.le_def",
      "SetLike.mem_coe",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.Quotient.addCommMonoid",
      "Submodule.Quotient.module",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.addSubgroupClass",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.exists_le_ker_of_notMem",
      "Submodule.ext",
      "Submodule.finiteDimensional_sup",
      "Submodule.hasQuotient",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instInfSet",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.liftQ",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_iInf",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_pair",
      "Submodule.mem_span_range_iff_exists_fun",
      "Submodule.mem_span_singleton",
      "Submodule.mem_span_singleton_self",
      "Submodule.mem_sup",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.mkQ",
      "Submodule.mk_mem_projectivization_iff",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.projectivization",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_eq_iSup_of_singleton_spans",
      "Submodule.span_le",
      "Submodule.span_singleton_le_iff_mem",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_mem",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "Submodule.subtypeL",
      "Submodule.sum_mem",
      "Submodule.topEquiv",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submodule.zero_mem",
      "SubmoduleClass.module",
      "SubmoduleClass.toNormedSpace",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.instDecidableEq",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.range_coe_subtype",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.mul_right",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "Superset",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Topology.IsInducing",
      "Topology.IsInducing.closure_eq_preimage_closure_image",
      "Topology.IsInducing.piMap",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "Units",
      "Units.instMonoid",
      "Units.instMulAction",
      "Units.instOne",
      "Units.instSMul",
      "Units.mk0",
      "Units.val",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "WithLp.instModule",
      "WithLp.ofLp",
      "Zero",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.coe_eq_zero._simp_1",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
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      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_assoc",
      "add_comm",
      "add_le_add",
      "add_left_cancel",
      "add_left_comm",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_neg_cancel_comm_assoc",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_cancel",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_inj._simp_1",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "algebraMap.coe_zero",
      "and_congr",
      "and_congr_right",
      "and_self",
      "binderNameHint",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_minimal",
      "closure_singleton",
      "commRing_strongRankCondition",
      "commute_iff_eq",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_apply",
      "continuous_const",
      "continuous_finset_sum",
      "continuous_id",
      "continuous_id'",
      "continuous_norm",
      "continuous_pi",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_nonneg",
      "dist_self",
      "dist_zero_right",
      "dite",
      "dite_cond_eq_false",
      "dite_cond_eq_true",
      "div_eq_mul_inv",
      "div_le_iff₀",
      "div_le_one",
      "div_lt_iff₀",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_sub_iff_add_eq",
      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_nat_gt",
      "exists_ne",
      "exists_pair_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "forall_const",
      "forall_eq",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_lt_self_iff._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "iInf",
      "iSup",
      "iSupIndep",
      "iSupIndep_map_orderIso_iff",
      "iSup_congr_Prop",
      "iSup_image",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_eq_zero_symm",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_eq_zero",
      "inner_self_ne_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_sum",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqProd",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDecidableOr",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instDistribSMul",
      "instFaithfulSMul_1",
      "instFintypeOption",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instHasSummableGeomSeries",
      "instInhabitedNat",
      "instInhabitedPUnit",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsConcreteLE",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsEmptyFalse",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsSimpleModule",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulActionNatOfAddMonoid",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNatCastInt",
      "instNeZeroNatHAdd_1",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instNonemptyProd",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransIff",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "inv_smul_smul₀",
      "isClosed_biInter",
      "isClosed_closure",
      "isClosed_eq",
      "isClosed_univ",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isOpen_pi_iff",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_max_right",
      "le_min",
      "le_of_eq",
      "le_of_le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_div_iff₀",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_lt_of_le",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "lt_trans",
      "map_add",
      "map_div₀",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_natCast",
      "map_neg",
      "map_one",
      "map_pow",
      "map_ratCast",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_closure_iff",
      "mem_extremePoints_iff_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_right_cancel₀",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_add_eq_zero",
      "neg_add_rev",
      "neg_apply",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_div",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_exists",
      "not_false",
      "not_false_eq_true",
      "not_le_of_gt",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_or",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_false",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "openSegment_symm",
      "optParam",
      "or_comm",
      "or_self",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "rank_le_one_iff",
      "rank_submodule_le_one_iff'",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_ne_zero",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingAut",
      "starRingEnd",
      "star_div₀",
      "star_eq_zero",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_sum",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "subset_closure",
      "subsingleton_or_nontrivial",
      "sum_apply",
      "sum_inner",
      "summable_geometric_of_norm_lt_one",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_le",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_iff_dist_tendsto_zero",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_ite_eq",
      "tsum_star",
      "two_mul",
      "two_smul",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.hilbertBasis_lift_mk_eq_of_normalPart_continuous": [
      "AddCancelCommMonoid.toAddLeftCancelMonoid",
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.toAddCancelCommMonoid",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelMonoid.toAddLeftCancelSemigroup",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instAddMonoidHomClass",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Antitone",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "BoundedOrder.toOrderTop",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "Cardinal",
      "Cardinal.aleph0",
      "Cardinal.instLE",
      "Cardinal.instMul",
      "Cardinal.instNatCast",
      "Cardinal.lift",
      "Cardinal.lift_aleph0",
      "Cardinal.lift_mk_le'",
      "Cardinal.lift_natCast",
      "Cardinal.lift_ofNat",
      "Cardinal.lift_uzero",
      "Cardinal.linearOrder",
      "Cardinal.mk",
      "Cardinal.mk_fintype",
      "Cardinal.mk_mul_aleph0_eq",
      "Cardinal.mk_nat",
      "Cardinal.mk_prod",
      "Cardinal.natCast_lt_aleph0",
      "Cardinal.partialOrder",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choice",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_forall",
      "Classical.not_not",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.isClosed_iff",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "Compl.compl",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toBoundedOrder",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toCompleteSemilatticeSup",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteLattice.toLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSemilatticeSup.toSupSet",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRatCast",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_add_im",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
      "ConditionallyCompleteLattice.toLattice",
      "ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup",
      "ConditionallyCompletePartialOrderSup.toSupSet",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.norm",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv",
      "ContinuousLinearEquiv.continuous",
      "ContinuousLinearEquiv.equivLike",
      "ContinuousLinearEquiv.mk",
      "ContinuousLinearEquiv.symm",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearEquiv.toLinearEquiv",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.map_tsum",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.opNorm_zero",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousLinearMapWOT",
      "ContinuousLinearMapWOT.continuous_dual_apply",
      "ContinuousLinearMapWOT.inducingFn",
      "ContinuousLinearMapWOT.instAddCommGroup",
      "ContinuousLinearMapWOT.instFunLike",
      "ContinuousLinearMapWOT.instModule",
      "ContinuousLinearMapWOT.instTopologicalSpace",
      "ContinuousLinearMapWOT.isInducing_inducingFn",
      "ContinuousLinearMapWOT.ofCLM",
      "ContinuousLinearMapWOT.toCLM",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "Countable.exists_injective_nat",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.equalizer",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Directed",
      "Disjoint",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.isSimpleRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRatCast",
      "DivisionRing.toRing",
      "DivisionSemiring.isPrincipalIdealRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.subset",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Eq.trans_ne",
      "Equiv",
      "Equiv.Perm.star",
      "Equiv.apply_symm_apply",
      "Equiv.injective",
      "Equiv.instEquivLike",
      "Equiv.invFun",
      "Equiv.mk",
      "Equiv.ofBijective",
      "Equiv.prodComm",
      "Equiv.surjective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "Equiv.symm_image_image",
      "Equiv.toFun",
      "Equiv.trans",
      "EquivLike.toFunLike",
      "EuclideanDomain.toNontrivial",
      "EuclideanDomain.to_principal_ideal_domain",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.instIsLocalRing",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toEuclideanDomain",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "Fin",
      "Fin.ext_iff",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.isLt",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.Subtype.fintype",
      "Finset.card",
      "Finset.card_singleton",
      "Finset.decidableMem",
      "Finset.induction_on",
      "Finset.instEmptyCollection",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.instSingleton",
      "Finset.mem_insert",
      "Finset.mem_insert_of_mem",
      "Finset.mem_insert_self",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.notMem_empty._simp_1",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_ite_eq",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Finset.univ_unique",
      "Finsupp",
      "Finsupp.ext",
      "Finsupp.instAdd",
      "Finsupp.instAddCommGroup",
      "Finsupp.instAddCommMonoid",
      "Finsupp.instFunLike",
      "Finsupp.instSub",
      "Finsupp.instZero",
      "Finsupp.linearCombination",
      "Finsupp.mapRange",
      "Finsupp.mapRange.congr_simp",
      "Finsupp.mapRange_mapRange",
      "Finsupp.mapRange_mapRange._proof_1",
      "Finsupp.mem_support_iff",
      "Finsupp.module",
      "Finsupp.single",
      "Finsupp.single_eq_of_ne",
      "Finsupp.single_eq_same",
      "Finsupp.single_sub",
      "Finsupp.smulZeroClass",
      "Finsupp.smul_single",
      "Finsupp.support",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "Fintype.linearIndependent_iffₛ",
      "Fintype.ofFinite",
      "Fintype.sum_option",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Embedding",
      "Function.Embedding.injective",
      "Function.Embedding.mk",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.Injective.ne",
      "Function.Involutive",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "Function.hasSMul",
      "Function.instFunLikeEmbedding",
      "Function.support",
      "Function.update",
      "Function.update_of_ne",
      "Function.update_self",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasQuotient.Quotient",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.antisymm",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.summable",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "HilbertBasis",
      "HilbertBasis.dense_span",
      "HilbertBasis.hasSum_repr",
      "HilbertBasis.instFunLike",
      "HilbertBasis.orthonormal",
      "HilbertBasis.repr",
      "HilbertBasis.repr_apply_apply",
      "HilbertBasis.toOrthonormalBasis",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.of_eq",
      "Iff.rfl",
      "Iff.symm",
      "Iff.trans",
      "Infinite",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.add_one_le_of_lt",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instLEInt",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.instSub",
      "Int.mul",
      "Int.natCast_add",
      "Int.natCast_nonneg",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Int.sub_nonneg_of_le",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.completeSpace_coe",
      "IsClosed.inter",
      "IsClosed.mem_of_tendsto",
      "IsClosed.preimage",
      "IsCoatom",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.inter_right",
      "IsCompact.nonempty_iInter_of_directed_nonempty_isCompact_isClosed",
      "IsCompact.of_isClosed_subset",
      "IsConcreteLE",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsEmpty.forall_iff._simp_1",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsLocalRing.toNontrivial",
      "IsModuleTopology.toContinuousSMul",
      "IsNoetherianRing.strongRankCondition",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsSimpleRing.instNontrivial",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsTopologicalSemiring.toIsModuleTopology",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_eq",
      "LE.le.trans_lt",
      "LE.mk",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "LT.mk",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Lean.Omega.Coeffs.ofList",
      "Lean.Omega.Constraint.addInequality_sat",
      "Lean.Omega.Constraint.combine_sat'",
      "Lean.Omega.Constraint.isImpossible",
      "Lean.Omega.Constraint.mk",
      "Lean.Omega.Constraint.not_sat'_of_isImpossible",
      "Lean.Omega.Int.add_congr",
      "Lean.Omega.Int.ofNat_le_of_le",
      "Lean.Omega.Int.ofNat_lt_of_lt",
      "Lean.Omega.Int.sub_congr",
      "Lean.Omega.LinearCombo",
      "Lean.Omega.LinearCombo.add_eval",
      "Lean.Omega.LinearCombo.coordinate",
      "Lean.Omega.LinearCombo.coordinate_eval_0",
      "Lean.Omega.LinearCombo.coordinate_eval_1",
      "Lean.Omega.LinearCombo.coordinate_eval_2",
      "Lean.Omega.LinearCombo.eval",
      "Lean.Omega.LinearCombo.instAdd",
      "Lean.Omega.LinearCombo.instSub",
      "Lean.Omega.LinearCombo.mk",
      "Lean.Omega.LinearCombo.sub_eval",
      "Lean.Omega.combo_sat'",
      "Lean.Omega.tidy_sat",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.apply_symm_apply",
      "LinearEquiv.continuous_symm",
      "LinearEquiv.injective",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.instSemilinearEquivClass",
      "LinearEquiv.map_add",
      "LinearEquiv.map_smulₛₗ",
      "LinearEquiv.mk",
      "LinearEquiv.surjective",
      "LinearEquiv.symm",
      "LinearEquiv.symm_apply_apply",
      "LinearEquiv.toContinuousLinearEquivOfContinuous",
      "LinearEquiv.toLinearMap",
      "LinearIndependent",
      "LinearIndependent.finite",
      "LinearIndependent.ne_zero",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.coe_sum",
      "LinearMap.comp",
      "LinearMap.congr_fun",
      "LinearMap.continuous_iff_isClosed_ker",
      "LinearMap.continuous_of_seq_closed_graph",
      "LinearMap.exists_extend",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.isCoatom_ker_of_surjective",
      "LinearMap.ker",
      "LinearMap.ker_pi",
      "LinearMap.ker_zero",
      "LinearMap.mem_ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.pi",
      "LinearMap.quotKerEquivRange",
      "LinearMap.quotKerEquivRange_symm_apply_image",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.natCast_nonneg",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.atom_pf'",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Matrix.cons_val_fin_one",
      "Matrix.vecCons",
      "Matrix.vecEmpty",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.continuous_iff",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.isOpen_iff",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.Basis",
      "Module.Basis.coord",
      "Module.Basis.instFunLike",
      "Module.Basis.linearIndependent",
      "Module.Basis.mem_span_image",
      "Module.Basis.mk",
      "Module.Basis.mk_apply",
      "Module.Basis.ne_zero",
      "Module.Basis.repr",
      "Module.Basis.repr_linearCombination",
      "Module.Basis.repr_self",
      "Module.Basis.repr_symm_apply",
      "Module.Basis.span_eq",
      "Module.Basis.unitsSMul",
      "Module.Basis.unitsSMul_apply",
      "Module.Finite",
      "Module.Finite.of_basis",
      "Module.Finite.of_surjective",
      "Module.Free.ChooseBasisIndex",
      "Module.Free.chooseBasis",
      "Module.Free.of_divisionRing",
      "Module.Free.rank_eq_card_chooseBasisIndex",
      "Module.complexToReal",
      "Module.finBasis",
      "Module.finrank",
      "Module.finrank_eq_card_basis",
      "Module.rank",
      "Module.rank_lt_aleph0_iff",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "MulAction",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionSemiHomClass.map_smulₛₗ",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.below",
      "Nat.ble",
      "Nat.brecOn",
      "Nat.casesOn",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_add._simp_1",
      "Nat.cast_inj._simp_1",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.decLt",
      "Nat.decidableBallLT",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instLinearOrder",
      "Nat.instMax",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_induction",
      "Nat.le_of_lt",
      "Nat.le_of_not_lt",
      "Nat.le_refl",
      "Nat.lt_or_gt_of_ne",
      "Nat.lt_succ_self",
      "Nat.mul",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.toAddSubmonoidClass",
      "NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring",
      "Nonempty",
      "Nonempty.casesOn",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "Nontrivial",
      "Nontrivial.mk",
      "Nontrivial.to_nonempty",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Option",
      "Option.elim'",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Or.resolve_right",
      "Order.Frame.toHeytingAlgebra",
      "Order.IsIdeal.Directed",
      "Order.IsIdeal.IsLowerSet",
      "Order.IsIdeal.Nonempty",
      "Order.IsPFilter",
      "Order.IsPFilter.of_def",
      "OrderBot.toBot",
      "OrderDual",
      "OrderDual.instLE",
      "OrderDual.ofDual",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderIso.apply_symm_apply",
      "OrderIso.injective",
      "OrderIso.map_iSup",
      "OrderIso.map_sup",
      "OrderIso.map_top",
      "OrderIso.monotone",
      "OrderIso.symm",
      "OrderIso.symm_apply_apply",
      "OrderIso.trans",
      "OrderTop.toTop",
      "Orthonormal.linearIndependent",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "OrthonormalBasis.toBasis",
      "PUnit.fintype",
      "PUnit.instUnique",
      "PUnit.unit",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.Function.module",
      "Pi.addCommGroup",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instSMul",
      "Pi.instSub",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_apply",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "Pi.topologicalSpace",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder",
      "Preorder.mk",
      "Preorder.toLE",
      "Preorder.toLT",
      "PrincipalIdealRing.isNoetherianRing",
      "Prod",
      "Prod.algebra",
      "Prod.casesOn",
      "Prod.ext",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.swap",
      "Prod.swap_swap",
      "Prod.toNorm",
      "Projectivization",
      "Projectivization.Independent",
      "Projectivization.Independent.mk",
      "Projectivization.Subspace",
      "Projectivization.Subspace.instCompleteLattice",
      "Projectivization.Subspace.instPartialOrder",
      "Projectivization.Subspace.instSetLike",
      "Projectivization.Subspace.mem_add",
      "Projectivization.Subspace.mem_submodule_iff",
      "Projectivization.Subspace.mk",
      "Projectivization.Subspace.span",
      "Projectivization.Subspace.spanCarrier",
      "Projectivization.Subspace.spanCarrier.rec",
      "Projectivization.Subspace.span_coe",
      "Projectivization.Subspace.span_le_span",
      "Projectivization.Subspace.span_le_subspace_iff",
      "Projectivization.Subspace.submodule",
      "Projectivization.Subspace.subset_span",
      "Projectivization.independent_iff",
      "Projectivization.independent_iff_iSupIndep",
      "Projectivization.instNonemptyOfNontrivial",
      "Projectivization.mk",
      "Projectivization.mk.congr_simp",
      "Projectivization.mk_eq_mk_iff'",
      "Projectivization.mk_rep",
      "Projectivization.rep",
      "Projectivization.rep_nonzero",
      "Projectivization.submodule",
      "Projectivization.submodule_eq",
      "Projectivization.submodule_injective",
      "Projectivization.submodule_mk",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_natCast",
      "RCLike.norm_ofReal",
      "RCLike.norm_sq_eq_def",
      "RCLike.ofReal",
      "RCLike.one_im",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toCompleteSpace",
      "RCLike.toDecidableEq",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.cast",
      "Rat.cast_zero",
      "Rat.commSemiring",
      "Rat.denseRange_cast",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.instOfNat",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.norm_ofNat",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "RelIso.mk",
      "RelIso.toEquiv",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingEquiv",
      "RingEquiv.apply_symm_apply",
      "RingEquiv.ext",
      "RingEquiv.injective",
      "RingEquiv.instEquivLike",
      "RingEquiv.instRingEquivClass",
      "RingEquiv.map_mul",
      "RingEquiv.map_zero",
      "RingEquiv.mk",
      "RingEquiv.refl",
      "RingEquiv.symm",
      "RingEquiv.symm_apply_apply",
      "RingEquiv.toRingHom",
      "RingEquivClass.toNonUnitalRingHomClass",
      "RingEquivClass.toRingHomClass",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toLinearMapClassNNRat",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomClass.toRingHom",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.of_ringEquiv",
      "RingHomInvPair.of_ringEquiv_symm",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "SProd.sprod",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearEquivClass.instSemilinearMapClass",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Countable",
      "Set.Countable.mono",
      "Set.Countable.to_subtype",
      "Set.Elem",
      "Set.Finite",
      "Set.Finite.fintype",
      "Set.Finite.image",
      "Set.Finite.insert",
      "Set.Finite.union",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Nonempty.to_subtype",
      "Set.Pairwise",
      "Set.Subset.antisymm",
      "Set.Subset.rfl",
      "Set.Subset.trans",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.empty_subset",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.extremePoints",
      "Set.finite_range",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.image_congr",
      "Set.image_empty",
      "Set.image_id",
      "Set.image_image",
      "Set.image_mono",
      "Set.image_pair",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.instAntisymmSubset",
      "Set.instBoundedOrder",
      "Set.instCompl",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSProd",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_compl_iff",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_range_self",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.not_nonempty_iff_eq_empty",
      "Set.pairwise_singleton",
      "Set.pi",
      "Set.preimage",
      "Set.preimage_empty",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sUnion",
      "Set.singleton_nonempty",
      "Set.singleton_subset_iff",
      "Set.subset_sUnion_of_mem",
      "Set.subset_union_left",
      "Set.subset_union_right",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.union_subset",
      "Set.univ",
      "SetLike",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "SetLike.le_def",
      "SetLike.mem_coe",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.Quotient.addCommMonoid",
      "Submodule.Quotient.module",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.exists_le_ker_of_notMem",
      "Submodule.ext",
      "Submodule.finiteDimensional_sup",
      "Submodule.hasQuotient",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instInfSet",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.liftQ",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_iInf",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_pair",
      "Submodule.mem_span_range_iff_exists_fun",
      "Submodule.mem_span_singleton",
      "Submodule.mem_span_singleton_self",
      "Submodule.mem_sup",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.mkQ",
      "Submodule.mk_mem_projectivization_iff",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.projectivization",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_eq_iSup_of_singleton_spans",
      "Submodule.span_le",
      "Submodule.span_singleton_le_iff_mem",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_mem",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "Submodule.subtypeL",
      "Submodule.sum_mem",
      "Submodule.topEquiv",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submodule.zero_mem",
      "SubmoduleClass.module",
      "SubmoduleClass.toNormedSpace",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.instDecidableEq",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.range_coe_subtype",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.countable_support",
      "Summable.hasSum",
      "Summable.mul_right",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "Superset",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Topology.IsInducing",
      "Topology.IsInducing.closure_eq_preimage_closure_image",
      "Topology.IsInducing.piMap",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "Units",
      "Units.instMonoid",
      "Units.instMulAction",
      "Units.instOne",
      "Units.instSMul",
      "Units.mk0",
      "Units.val",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "Zero",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_assoc",
      "add_comm",
      "add_le_add",
      "add_left_cancel",
      "add_left_comm",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_neg_cancel_comm_assoc",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_inj._simp_1",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "algebraMap.coe_zero",
      "and_congr",
      "and_congr_right",
      "and_self",
      "binderNameHint",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_minimal",
      "closure_singleton",
      "commRing_strongRankCondition",
      "commute_iff_eq",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_apply",
      "continuous_const",
      "continuous_finset_sum",
      "continuous_id",
      "continuous_id'",
      "continuous_norm",
      "continuous_pi",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_nonneg",
      "dist_self",
      "dist_zero_right",
      "dite",
      "dite_cond_eq_false",
      "dite_cond_eq_true",
      "div_eq_mul_inv",
      "div_le_iff₀",
      "div_le_one",
      "div_lt_iff₀",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_sub_iff_add_eq",
      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_nat_gt",
      "exists_ne",
      "exists_pair_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "finite_or_infinite",
      "forall_congr",
      "forall_eq",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_lt_self_iff._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "iInf",
      "iSup",
      "iSupIndep",
      "iSupIndep_map_orderIso_iff",
      "iSup_congr_Prop",
      "iSup_image",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_eq_zero",
      "inner_self_ne_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_sum",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqProd",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDecidableOr",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instDistribSMul",
      "instFaithfulSMul_1",
      "instFintypeOption",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instHasSummableGeomSeries",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsConcreteLE",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsEmptyFalse",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsSimpleModule",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulActionNatOfAddMonoid",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNatCastInt",
      "instNeZeroNatHAdd_1",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instNonemptyProd",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransIff",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "inv_smul_smul₀",
      "isClosed_biInter",
      "isClosed_closure",
      "isClosed_eq",
      "isClosed_univ",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isOpen_pi_iff",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_max_right",
      "le_min",
      "le_of_eq",
      "le_of_le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_div_iff₀",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_lt_of_le",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "lt_trans",
      "map_add",
      "map_div₀",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_natCast",
      "map_neg",
      "map_one",
      "map_pow",
      "map_ratCast",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_closure_iff",
      "mem_extremePoints_iff_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_add_eq_zero",
      "neg_add_rev",
      "neg_apply",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_div",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_or",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_false",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "openSegment_symm",
      "optParam",
      "or_comm",
      "or_self",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_ne_zero",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingAut",
      "starRingEnd",
      "star_div₀",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "subset_closure",
      "subsingleton_or_nontrivial",
      "sum_apply",
      "sum_inner",
      "summable_geometric_of_norm_lt_one",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_le",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_iff_dist_tendsto_zero",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_ite_eq",
      "tsum_star",
      "two_mul",
      "two_smul",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.exists_forall_eq_irreducibleSpectrum_iff_exists_faithful_representation": [
      "Add.mk",
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.mk",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.mk",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.mk",
      "AddMonoid.nsmul_succ._autoParam",
      "AddMonoid.nsmul_zero._autoParam",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.isometry_of_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.mk",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bornology.cobounded",
      "Bornology.mk",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.instNonnegSpectrumClass'",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.closure_top",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.isClosed_iff",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "Compl.compl",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.exists_norm_eq_mul_self",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instCompleteSpace",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_I",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "Con.toSetoid",
      "ConditionallyCompleteLattice.toLattice",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.map_zero",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.mul",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Disjoint",
      "Dist.dist",
      "Dist.mk",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.mk",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "ENNReal.ofReal",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.subset",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Equiv",
      "Equiv.apply_symm_apply",
      "Equiv.injective",
      "Equiv.instEquivLike",
      "Equiv.invFun",
      "Equiv.left_inv",
      "Equiv.mk",
      "Equiv.ofBijective",
      "Equiv.refl",
      "Equiv.right_inv",
      "Equiv.surjective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "Equiv.toFun",
      "Equiv.trans",
      "EquivLike.toFunLike",
      "Equivalence",
      "Equivalence.mk",
      "Equivalence.refl",
      "Equivalence.symm",
      "Equivalence.trans",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.instIsLocalRing",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.cofinite",
      "Filter.comap",
      "Filter.instInfSet",
      "Filter.instPartialOrder",
      "Filter.lift'",
      "Filter.mp_mem",
      "Filter.principal",
      "Filter.sets",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.card",
      "Finset.decidableMem",
      "Finset.instSetLike",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Bijective",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.LeftInverse",
      "Function.RightInverse",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasEquiv.Equiv",
      "HasQuotient.Quotient",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Homeomorph",
      "Homeomorph.mk",
      "Homeomorph.toEquiv",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Iff.symm",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.mul",
      "Int.negOfNat",
      "Int.negSucc",
      "Int.ofNat",
      "Int.rawCast",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.inter",
      "IsClosed.isOpen_compl",
      "IsClosed.mk",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.of_isClosed_subset",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsLocalRing.toNontrivial",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.cfcₙ",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.mk",
      "LinearEquiv.refl",
      "LinearEquiv.surjective",
      "LinearEquiv.toLinearMap",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.mk",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.refl",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.trans",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.ker",
      "LinearMap.ker_zero",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "LinearOrderedSemiField.toDenselyOrdered",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.mk",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.complexToReal",
      "Module.finrank",
      "Module.mk",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "Mul.mk",
      "MulAction.mk",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.ofNat_pos._simp_1",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.mk",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.norm_quasispectrum_le",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing",
      "NonUnitalNonAssocRing.left_distrib",
      "NonUnitalNonAssocRing.mk",
      "NonUnitalNonAssocRing.mul_zero",
      "NonUnitalNonAssocRing.right_distrib",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toMul",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.zero_mul",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.mk",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing",
      "NonUnitalRing.mk",
      "NonUnitalRing.mul_assoc",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.codRestrict",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mem_range",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.range",
      "NonUnitalStarAlgHom.rangeRestrict",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring",
      "Nonempty",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "NonnegSpectrumClass.quasispectrum_nonneg_of_nonneg",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.mk",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.dist_eq",
      "NormedAddCommGroup.dist_eq._autoParam",
      "NormedAddCommGroup.mk",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.mk",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Order.Frame.toHeytingAlgebra",
      "OrderBot.toBot",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "PUnit.fintype",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.algebra",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.swap",
      "Prod.toNorm",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.cobounded_sets._autoParam",
      "PseudoMetricSpace.edist_dist._autoParam",
      "PseudoMetricSpace.mk",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "PseudoMetricSpace.uniformity_dist._autoParam",
      "Quotient",
      "Quotient.inductionOn",
      "Quotient.inductionOn₂",
      "Quotient.lift",
      "Quotient.map'",
      "Quotient.mk",
      "Quotient.mk'",
      "Quotient.mk''",
      "Quotient.sound",
      "QuotientModule.Quotient.topologicalSpace",
      "QuotientModule.Quotient.topologicalSpace._proof_1",
      "QuotientModule.Quotient.topologicalSpace._proof_2",
      "QuotientModule.Quotient.topologicalSpace._proof_3",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Real.sqrt_sq",
      "Relation.EqvGen",
      "Relation.EqvGen.rec",
      "Relation.EqvGen.rel",
      "Relation.EqvGen.setoid",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingCon.toCon",
      "RingEquiv.mk",
      "RingEquiv.toEquiv",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMul.mk",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mk",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.eq_empty_iff_forall_notMem",
      "Set.eq_univ_iff_forall",
      "Set.ext",
      "Set.ext_iff",
      "Set.extremePoints",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.image_congr",
      "Set.image_empty",
      "Set.image_id",
      "Set.image_image",
      "Set.image_mono",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.image_union",
      "Set.instBooleanAlgebra",
      "Set.instBoundedOrder",
      "Set.instCompl",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instOrderTop",
      "Set.instReflSubset",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_image",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_sInter",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_union",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.preimage",
      "Set.preimage_empty",
      "Set.preimage_union",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sInter",
      "Set.sInter_subset_of_mem",
      "Set.sUnion",
      "Set.singleton_nonempty",
      "Set.singleton_subset_iff",
      "Set.subset_sUnion_of_mem",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.univ",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "SetRel.comp",
      "Setoid",
      "Setoid.iseqv",
      "Setoid.mk",
      "Setoid.r",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.mk",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv",
      "StarAlgEquiv.instEquivLike",
      "StarAlgEquiv.instFunLike",
      "StarAlgEquiv.instNonUnitalAlgEquivClass",
      "StarAlgEquiv.mk",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgEquiv.toStarRingEquiv",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingEquiv.mk",
      "StarRingEquiv.toRingEquiv",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "Sub.mk",
      "SubNegMonoid.mk",
      "SubNegMonoid.sub_eq_add_neg._autoParam",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegMonoid.zsmul_neg'._autoParam",
      "SubNegMonoid.zsmul_succ'._autoParam",
      "SubNegMonoid.zsmul_zero'._autoParam",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.Quotient.addCommGroup._aux_1",
      "Submodule.Quotient.addCommGroup._aux_3",
      "Submodule.Quotient.addCommGroup._aux_6",
      "Submodule.Quotient.addCommGroup._proof_10",
      "Submodule.Quotient.addCommGroup._proof_11",
      "Submodule.Quotient.addCommGroup._proof_12",
      "Submodule.Quotient.addCommGroup._proof_5",
      "Submodule.Quotient.addCommGroup._proof_8",
      "Submodule.Quotient.addCommGroup._proof_9",
      "Submodule.Quotient.addCommMonoid",
      "Submodule.Quotient.addMonoid._aux_1",
      "Submodule.Quotient.addMonoid._aux_6",
      "Submodule.Quotient.addMonoid._proof_3",
      "Submodule.Quotient.addMonoid._proof_4",
      "Submodule.Quotient.addMonoid._proof_5",
      "Submodule.Quotient.addMonoid._proof_8",
      "Submodule.Quotient.addMonoid._proof_9",
      "Submodule.Quotient.completeSpace",
      "Submodule.Quotient.distribMulAction'._proof_1",
      "Submodule.Quotient.distribMulAction'._proof_2",
      "Submodule.Quotient.eq",
      "Submodule.Quotient.instSMul'._proof_2",
      "Submodule.Quotient.instZeroQuotient",
      "Submodule.Quotient.mk",
      "Submodule.Quotient.mk_eq_zero",
      "Submodule.Quotient.module",
      "Submodule.Quotient.module'._proof_3",
      "Submodule.Quotient.module'._proof_4",
      "Submodule.Quotient.mulAction'._proof_1",
      "Submodule.Quotient.mulAction'._proof_2",
      "Submodule.Quotient.norm_mk_le",
      "Submodule.Quotient.norm_mk_lt",
      "Submodule.Quotient.normedAddCommGroup._proof_1",
      "Submodule.Quotient.normedAddCommGroup._proof_2",
      "Submodule.Quotient.normedSpace",
      "Submodule.Quotient.normedSpace._proof_1",
      "Submodule.Quotient.seminormedAddCommGroup",
      "Submodule.Quotient.seminormedAddCommGroup._aux_1",
      "Submodule.Quotient.seminormedAddCommGroup._aux_11",
      "Submodule.Quotient.seminormedAddCommGroup._aux_17",
      "Submodule.Quotient.seminormedAddCommGroup._aux_3",
      "Submodule.Quotient.seminormedAddCommGroup._aux_8",
      "Submodule.Quotient.seminormedAddCommGroup._proof_10",
      "Submodule.Quotient.seminormedAddCommGroup._proof_13",
      "Submodule.Quotient.seminormedAddCommGroup._proof_14",
      "Submodule.Quotient.seminormedAddCommGroup._proof_15",
      "Submodule.Quotient.seminormedAddCommGroup._proof_16",
      "Submodule.Quotient.seminormedAddCommGroup._proof_19",
      "Submodule.Quotient.seminormedAddCommGroup._proof_20",
      "Submodule.Quotient.seminormedAddCommGroup._proof_5",
      "Submodule.Quotient.seminormedAddCommGroup._proof_6",
      "Submodule.Quotient.seminormedAddCommGroup._proof_7",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.ext",
      "Submodule.finiteDimensional_sup",
      "Submodule.hasQuotient",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.liftQL",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_singleton",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.mkQ",
      "Submodule.mkQL",
      "Submodule.mkQ_surjective",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.quotientRel",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_le",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtypeL",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "SubmoduleClass.toNormedSpace",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.forall",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.mk",
      "TopologicalSpace.ofClosed",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "TwoSidedIdeal",
      "TwoSidedIdeal.coe_top",
      "TwoSidedIdeal.ext",
      "TwoSidedIdeal.instInfSet",
      "TwoSidedIdeal.instPartialOrder",
      "TwoSidedIdeal.instSemilatticeInf",
      "TwoSidedIdeal.instTop",
      "TwoSidedIdeal.ker",
      "TwoSidedIdeal.mem_iInf",
      "TwoSidedIdeal.mem_inf",
      "TwoSidedIdeal.mem_ker",
      "TwoSidedIdeal.mem_top",
      "TwoSidedIdeal.mul_mem_left",
      "TwoSidedIdeal.mul_mem_right",
      "TwoSidedIdeal.ringCon",
      "TwoSidedIdeal.setLike",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.mk",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAddGroup",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instCompleteSpace",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarAddMonoid",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
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      "Zero",
      "Zero.mk",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
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      "abs_neg",
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      "abs_one",
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      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_comm",
      "add_le_add",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_nonneg",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "and_congr_right",
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      "autoParam",
      "binderNameHint",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_add",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "cfcₙ_zero",
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      "closure_convexHull_extremePoints",
      "closure_singleton",
      "commute_iff_eq",
      "compl_compl",
      "complete_of_proper",
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      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_const",
      "continuous_id",
      "continuous_id'",
      "continuous_iff_isClosed",
      "continuous_norm",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "convex_singleton",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_self",
      "dist_zero_right",
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      "div_eq_mul_inv",
      "div_le_one",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_pow",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
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      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "iInf",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_le_left",
      "inf_le_right",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_eq_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasEquivOfSetoid",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNatCastInt",
      "instNeZeroNatHAdd_1",
      "instNonUnitalAlgHomClassOfNonUnitalAlgEquivClass",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "inv_smul_smul₀",
      "isClosed_biInter",
      "isClosed_eq",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_max_right",
      "le_min",
      "le_of_eq",
      "le_of_forall_pos_le_add",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_extremePoints_iff_left",
      "min_eq_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mt",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_le_of_le_one_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_one_smul",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "optParam",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "uniformity",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "ClosureSpace.HasContinuousFiniteConjugation": [
      "And",
      "And.casesOn",
      "And.intro",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteSemilatticeInf.toPartialOrder",
      "DFunLike.coe",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.refl",
      "Equiv",
      "Equiv.instEquivLike",
      "Equiv.invFun",
      "Equiv.symm",
      "Equiv.toFun",
      "Equiv.trans",
      "EquivLike.toFunLike",
      "Exists.casesOn",
      "Exists.intro",
      "Function.comp",
      "HasSubset.Subset",
      "Insert.insert",
      "LE.le",
      "Membership.mem",
      "Monotone",
      "Not",
      "Or",
      "PartialOrder.toPreorder",
      "Preorder.toLE",
      "Relation.EqvGen.setoid",
      "Set",
      "Set.Elem",
      "Set.Finite",
      "Set.Finite.image",
      "Set.image",
      "Set.image_congr",
      "Set.image_empty",
      "Set.image_image",
      "Set.image_mono",
      "Set.image_preimage_subset",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instMembership",
      "Set.instSingletonSet",
      "Set.preimage",
      "Set.preimage_empty",
      "Setoid",
      "Setoid.r",
      "Singleton.singleton",
      "Subtype.val",
      "congrArg",
      "congrFun'",
      "id",
      "rfl",
      "setOf"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.exists_pureState_compactOperatorModel_iff_singleton_finiteConjugation": [
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      "AddCancelCommMonoid.toAddLeftCancelMonoid",
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.mk",
      "AddCommGroup.toAddCancelCommMonoid",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.mk",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelMonoid.toAddLeftCancelSemigroup",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.mk",
      "AddMonoid.nsmul_succ._autoParam",
      "AddMonoid.nsmul_zero._autoParam",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instAddMonoidHomClass",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.isometry_of_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup",
      "AddSemigroup.mk",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.sub",
      "AddSubgroupClass.toAddGroup._proof_6",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.coe_finsetSum",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Antitone",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bornology.cobounded",
      "Bornology.mk",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "BoundedOrder.toOrderTop",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.exists_sum_four_unitary",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.instNonnegSpectrumClass'",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "Cardinal",
      "Cardinal.aleph0",
      "Cardinal.commSemiring",
      "Cardinal.instLE",
      "Cardinal.instNatCast",
      "Cardinal.instOne",
      "Cardinal.isOrderedRing",
      "Cardinal.lift",
      "Cardinal.lift_mk_le'",
      "Cardinal.lift_ofNat",
      "Cardinal.lift_uzero",
      "Cardinal.linearOrder",
      "Cardinal.mk",
      "Cardinal.mk_fintype",
      "Cardinal.natCast_lt_aleph0",
      "Cardinal.partialOrder",
      "Cardinal.two_le_iff_one_lt",
      "CauchyFilter",
      "CauchyFilter.instUniformSpace",
      "CauchyFilter.pureCauchy",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choice",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_forall",
      "Classical.not_imp._simp_2",
      "Classical.not_not",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.closure_top",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.isClosed_iff",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "ClusterPt",
      "ClusterPt.mono",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toCommMonoid",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "Compl.compl",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toBoundedOrder",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toCompleteSemilatticeSup",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteLattice.toLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSemilatticeSup.toSupSet",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.exists_norm_eq_mul_self",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instCompleteSpace",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instProperSpace",
      "Complex.instRCLike",
      "Complex.instRatCast",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_I",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_re",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.orderClosedTopology",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_add_im",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "Complex.zero_re",
      "Con.toSetoid",
      "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
      "ConditionallyCompleteLattice.toLattice",
      "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice",
      "ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup",
      "ConditionallyCompletePartialOrderSup.toPartialOrder",
      "ConditionallyCompletePartialOrderSup.toSupSet",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.norm",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv",
      "ContinuousLinearEquiv.continuous",
      "ContinuousLinearEquiv.continuousSemilinearEquivClass",
      "ContinuousLinearEquiv.equivLike",
      "ContinuousLinearEquiv.injective",
      "ContinuousLinearEquiv.map_add",
      "ContinuousLinearEquiv.map_smulₛₗ",
      "ContinuousLinearEquiv.mk",
      "ContinuousLinearEquiv.refl",
      "ContinuousLinearEquiv.symm",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearEquiv.toLinearEquiv",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_id",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.codRestrict",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_id",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.id_comp",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instModuleFinite",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.map_tsum",
      "ContinuousLinearMap.map_zero",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.opNorm_zero",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.sum_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.toSpanSingleton",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousLinearMapWOT",
      "ContinuousLinearMapWOT.continuous_dual_apply",
      "ContinuousLinearMapWOT.inducingFn",
      "ContinuousLinearMapWOT.instAddCommGroup",
      "ContinuousLinearMapWOT.instFunLike",
      "ContinuousLinearMapWOT.instModule",
      "ContinuousLinearMapWOT.instTopologicalSpace",
      "ContinuousLinearMapWOT.isInducing_inducingFn",
      "ContinuousLinearMapWOT.ofCLM",
      "ContinuousLinearMapWOT.toCLM",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.mul",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearEquivClass.continuousSemilinearMapClass",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "DFunLike.ext",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.equalizer",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Directed",
      "Disjoint",
      "Dist.dist",
      "Dist.mk",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.mk",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.isSimpleRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRatCast",
      "DivisionRing.toRing",
      "DivisionSemiring.isPrincipalIdealRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "ENNReal.ofReal",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.subset",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Eq.trans_ne",
      "Equiv",
      "Equiv.Perm.star",
      "Equiv.apply_symm_apply",
      "Equiv.ext",
      "Equiv.injective",
      "Equiv.instEquivLike",
      "Equiv.invFun",
      "Equiv.left_inv",
      "Equiv.mk",
      "Equiv.ofBijective",
      "Equiv.prodComm",
      "Equiv.refl",
      "Equiv.right_inv",
      "Equiv.surjective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "Equiv.symm_image_image",
      "Equiv.toFun",
      "Equiv.trans",
      "Equiv.ulift",
      "EquivLike.toFunLike",
      "Equivalence",
      "Equivalence.mk",
      "Equivalence.refl",
      "Equivalence.symm",
      "Equivalence.trans",
      "EuclideanDomain.toNontrivial",
      "EuclideanDomain.to_principal_ideal_domain",
      "EuclideanSpace",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.elim",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.instIsLocalRing",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toEuclideanDomain",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mono_left",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.cofinite",
      "Filter.comap",
      "Filter.eventually_ge_atTop",
      "Filter.instCompleteLatticeFilter",
      "Filter.instInfSet",
      "Filter.instPartialOrder",
      "Filter.lift'",
      "Filter.map",
      "Filter.map_map",
      "Filter.mp_mem",
      "Filter.principal",
      "Filter.sets",
      "Filter.tendsto_principal",
      "Filter.univ_mem'",
      "Fin",
      "Fin.ext_iff",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.isLt",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.complete",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.finiteDimensional_submodule",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.of_injective",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.proper_real",
      "FiniteDimensional.rclike_to_real",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.Subtype.fintype",
      "Finset.card",
      "Finset.card_singleton",
      "Finset.decidableMem",
      "Finset.finite_toSet",
      "Finset.induction_on",
      "Finset.instEmptyCollection",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.instSingleton",
      "Finset.mem_insert",
      "Finset.mem_insert_of_mem",
      "Finset.mem_insert_self",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.notMem_empty._simp_1",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.smul_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_comm",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_eq_zero",
      "Finset.sum_ite_eq",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_mul",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.sum_smul",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Finset.univ_unique",
      "Finsupp",
      "Finsupp.ext",
      "Finsupp.instAdd",
      "Finsupp.instAddCommGroup",
      "Finsupp.instAddCommMonoid",
      "Finsupp.instFunLike",
      "Finsupp.instSub",
      "Finsupp.instZero",
      "Finsupp.linearCombination",
      "Finsupp.mapRange",
      "Finsupp.mapRange.congr_simp",
      "Finsupp.mapRange_mapRange",
      "Finsupp.mapRange_mapRange._proof_1",
      "Finsupp.mem_support_iff",
      "Finsupp.module",
      "Finsupp.single",
      "Finsupp.single_eq_of_ne",
      "Finsupp.single_eq_same",
      "Finsupp.single_sub",
      "Finsupp.smulZeroClass",
      "Finsupp.smul_single",
      "Finsupp.support",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "Fintype.sum_option",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Bijective",
      "Function.Embedding",
      "Function.Embedding.injective",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.Injective.ne",
      "Function.Involutive",
      "Function.LeftInverse",
      "Function.RightInverse",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "Function.hasSMul",
      "Function.instFunLikeEmbedding",
      "Function.update",
      "Function.update_of_ne",
      "Function.update_self",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "Group.toDivInvMonoid",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasEquiv.Equiv",
      "HasQuotient.Quotient",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.antisymm",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Homeomorph",
      "Homeomorph.mk",
      "Homeomorph.toEquiv",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.of_eq",
      "Iff.rfl",
      "Iff.symm",
      "Iff.trans",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rankOne_comp_rankOne",
      "InnerProductSpace.rankOne_def'",
      "InnerProductSpace.rankOne_ne_zero",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toDual",
      "InnerProductSpace.toDual_symm_apply",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.add_one_le_of_lt",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instLEInt",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.instSub",
      "Int.mul",
      "Int.natCast_add",
      "Int.natCast_nonneg",
      "Int.negOfNat",
      "Int.negSucc",
      "Int.ofNat",
      "Int.rawCast",
      "Int.sub_nonneg_of_le",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsCancelMulZero.toIsRightCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.completeSpace_coe",
      "IsClosed.inter",
      "IsClosed.isOpen_compl",
      "IsClosed.mem_of_nhdsWithin_neBot",
      "IsClosed.mem_of_tendsto",
      "IsClosed.mk",
      "IsClosed.notMem_iff_infDist_pos",
      "IsClosed.preimage",
      "IsCoatom",
      "IsCompact",
      "IsCompact.exists_isMaxOn",
      "IsCompact.exists_mapClusterPt",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.inter_right",
      "IsCompact.nonempty_iInter_of_directed_nonempty_isCompact_isClosed",
      "IsCompact.of_isClosed_subset",
      "IsCompact.totallyBounded",
      "IsCompactOperator",
      "IsCompactOperator.add",
      "IsCompactOperator.clm_comp",
      "IsCompactOperator.comp_clm",
      "IsCompactOperator.image_closedBall_subset_compact",
      "IsCompactOperator.neg",
      "IsCompactOperator.smul",
      "IsConcreteLE",
      "IsDedekindDomain.isDedekindDomainDvr",
      "IsDedekindDomainDvr.toIsNoetherian",
      "IsDirected.mk",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsEmpty.forall_iff._simp_1",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.extremePoints_subset_extremePoints",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsLocalRing.toNontrivial",
      "IsMaxOn",
      "IsModuleTopology.toContinuousSMul",
      "IsNoetherianRing.strongRankCondition",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsPrincipalIdealRing.isDedekindDomain",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.cfcₙ",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsSimpleRing.instNontrivial",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.toContinuousNeg",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsTopologicalSemiring.toIsModuleTopology",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.dist_eq",
      "Isometry.isClosedEmbedding",
      "LE",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.not_gt",
      "LE.le.trans",
      "LE.le.trans_eq",
      "LE.le.trans_lt",
      "LE.mk",
      "LT.lt",
      "LT.lt.false",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "LT.mk",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Lean.Omega.Coeffs.ofList",
      "Lean.Omega.Constraint.addInequality_sat",
      "Lean.Omega.Constraint.combine_sat'",
      "Lean.Omega.Constraint.isImpossible",
      "Lean.Omega.Constraint.mk",
      "Lean.Omega.Constraint.not_sat'_of_isImpossible",
      "Lean.Omega.Int.add_congr",
      "Lean.Omega.Int.ofNat_le_of_le",
      "Lean.Omega.Int.ofNat_lt_of_lt",
      "Lean.Omega.Int.sub_congr",
      "Lean.Omega.LinearCombo",
      "Lean.Omega.LinearCombo.add_eval",
      "Lean.Omega.LinearCombo.coordinate",
      "Lean.Omega.LinearCombo.coordinate_eval_0",
      "Lean.Omega.LinearCombo.coordinate_eval_1",
      "Lean.Omega.LinearCombo.coordinate_eval_2",
      "Lean.Omega.LinearCombo.eval",
      "Lean.Omega.LinearCombo.instAdd",
      "Lean.Omega.LinearCombo.instSub",
      "Lean.Omega.LinearCombo.mk",
      "Lean.Omega.LinearCombo.sub_eval",
      "Lean.Omega.combo_sat'",
      "Lean.Omega.tidy_sat",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.apply_symm_apply",
      "LinearEquiv.continuous_symm",
      "LinearEquiv.injective",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.instSemilinearEquivClass",
      "LinearEquiv.map_add",
      "LinearEquiv.map_smulₛₗ",
      "LinearEquiv.mk",
      "LinearEquiv.refl",
      "LinearEquiv.surjective",
      "LinearEquiv.symm",
      "LinearEquiv.symm_apply_apply",
      "LinearEquiv.toContinuousLinearEquivOfContinuous",
      "LinearEquiv.toEquiv",
      "LinearEquiv.toLinearMap",
      "LinearIndependent",
      "LinearIndependent.eq_of_pair",
      "LinearIndependent.pair_iff'",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometry.isometry",
      "LinearIsometry.toLinearMap",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instGroup",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.mk",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.refl",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.trans",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.coe_sum",
      "LinearMap.comp",
      "LinearMap.congr_fun",
      "LinearMap.continuous_iff_isClosed_ker",
      "LinearMap.continuous_of_seq_closed_graph",
      "LinearMap.exists_extend",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.isCoatom_ker_of_surjective",
      "LinearMap.isometryOfInner",
      "LinearMap.ker",
      "LinearMap.ker_pi",
      "LinearMap.ker_zero",
      "LinearMap.map_smulₛₗ",
      "LinearMap.mem_ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.pi",
      "LinearMap.quotKerEquivRange",
      "LinearMap.quotKerEquivRange_symm_apply_image",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.sum_apply",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toDecidableLT",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "LinearOrderedSemiField.toDenselyOrdered",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "LocallyConvexSpace",
      "MapClusterPt",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_eq_false",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.NormNum.one_natPow",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.pow_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.natCast_nonneg",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Push.not_forall_eq",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.atom_pf'",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Matrix.cons_val_fin_one",
      "Matrix.of",
      "Matrix.vecCons",
      "Matrix.vecEmpty",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.continuous_iff",
      "Metric.denseRange_iff",
      "Metric.infDist",
      "Metric.infDist_le_dist_of_mem",
      "Metric.isOpen_ball",
      "Metric.isOpen_iff",
      "Metric.mem_ball",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "Metric.totallyBounded_iff",
      "MetricSpace",
      "MetricSpace.mk",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.Basis",
      "Module.Basis.coord",
      "Module.Basis.instFunLike",
      "Module.Basis.linearIndependent",
      "Module.Basis.mem_span_image",
      "Module.Basis.mk",
      "Module.Basis.mk_apply",
      "Module.Basis.ne_zero",
      "Module.Basis.repr",
      "Module.Basis.repr_linearCombination",
      "Module.Basis.repr_self",
      "Module.Basis.repr_symm_apply",
      "Module.Basis.span_eq",
      "Module.Basis.unitsSMul",
      "Module.Basis.unitsSMul_apply",
      "Module.Finite",
      "Module.Finite.of_basis",
      "Module.Finite.of_surjective",
      "Module.Free.ChooseBasisIndex",
      "Module.Free.chooseBasis",
      "Module.Free.of_divisionRing",
      "Module.Free.rank_eq_card_chooseBasisIndex",
      "Module.complexToReal",
      "Module.finBasis",
      "Module.finrank",
      "Module.finrank_eq_card_basis",
      "Module.mk",
      "Module.rank",
      "Module.rank_lt_aleph0_iff",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "Mul.mk",
      "MulAction",
      "MulAction.mk",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionSemiHomClass.map_smulₛₗ",
      "MulActionWithZero.toSMulWithZero",
      "MulEquiv",
      "MulEquiv.instEquivLike",
      "MulHom",
      "MulHom.funLike",
      "MulHomClass.toMulHom",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.below",
      "Nat.ble",
      "Nat.brecOn",
      "Nat.casesOn",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_add._simp_1",
      "Nat.cast_inj._simp_1",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.decLt",
      "Nat.decidableBallLT",
      "Nat.factorial",
      "Nat.find",
      "Nat.find_min'",
      "Nat.find_spec",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instLinearOrder",
      "Nat.instMax",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_induction",
      "Nat.le_of_lt",
      "Nat.le_of_not_lt",
      "Nat.le_refl",
      "Nat.lt_or_gt_of_ne",
      "Nat.lt_succ_self",
      "Nat.mul",
      "Nat.ofNat_pos._simp_1",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.mk",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.comp._proof_2",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.norm_quasispectrum_le",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing",
      "NonUnitalNonAssocRing.left_distrib",
      "NonUnitalNonAssocRing.mk",
      "NonUnitalNonAssocRing.mul_zero",
      "NonUnitalNonAssocRing.right_distrib",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toMul",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.zero_mul",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.mk",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing",
      "NonUnitalRing.mk",
      "NonUnitalRing.mul_assoc",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.codRestrict",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.id",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.isometry",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mem_range",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.range",
      "NonUnitalStarAlgHom.rangeRestrict",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarAlgebra.instCompleteLatticeNonUnitalStarSubalgebra",
      "NonUnitalStarAlgebra.mem_top._simp_1",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.ext",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instPartialOrder",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.mk",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra._proof_4",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra._proof_5",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring",
      "NonUnitalStarSubalgebra.toNonUnitalSubalgebra",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebra.mk",
      "NonUnitalSubalgebra.toSubmodule",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiring.mk",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.toAddSubmonoidClass",
      "NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring",
      "Nonempty",
      "Nonempty.casesOn",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "NonnegSpectrumClass.quasispectrum_nonneg_of_nonneg",
      "Nontrivial",
      "Nontrivial.mk",
      "Nontrivial.to_nonempty",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.mk",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.dist_eq",
      "NormedAddCommGroup.dist_eq._autoParam",
      "NormedAddCommGroup.mk",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.mk",
      "NormedSpace.norm_normalize",
      "NormedSpace.normalize",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Option",
      "Option.elim'",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Or.resolve_right",
      "Order.Frame.toHeytingAlgebra",
      "Order.IsIdeal.Directed",
      "Order.IsIdeal.IsLowerSet",
      "Order.IsIdeal.Nonempty",
      "Order.IsPFilter",
      "Order.IsPFilter.of_def",
      "OrderBot.toBot",
      "OrderDual",
      "OrderDual.instLE",
      "OrderDual.ofDual",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderIso.apply_symm_apply",
      "OrderIso.injective",
      "OrderIso.map_iSup",
      "OrderIso.map_sup",
      "OrderIso.map_top",
      "OrderIso.monotone",
      "OrderIso.symm",
      "OrderIso.symm_apply_apply",
      "OrderIso.trans",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.repr",
      "OrthonormalBasis.repr_apply_apply",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "OrthonormalBasis.sum_repr",
      "OrthonormalBasis.sum_repr'",
      "PUnit.fintype",
      "PUnit.instUnique",
      "PUnit.unit",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.Function.module",
      "Pi.addCommGroup",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instNeg",
      "Pi.instSMul",
      "Pi.instSub",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_apply",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "Pi.topologicalSpace",
      "PiLp.innerProductSpace._proof_1",
      "PiLp.seminormedAddCommGroup",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder",
      "Preorder.mk",
      "Preorder.toLE",
      "Preorder.toLT",
      "PrincipalIdealRing.isNoetherianRing",
      "Prod",
      "Prod.algebra",
      "Prod.casesOn",
      "Prod.ext",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.swap",
      "Prod.swap_swap",
      "Prod.toNorm",
      "Projectivization",
      "Projectivization.Independent",
      "Projectivization.Independent.mk",
      "Projectivization.Subspace",
      "Projectivization.Subspace.instCompleteLattice",
      "Projectivization.Subspace.instPartialOrder",
      "Projectivization.Subspace.instSetLike",
      "Projectivization.Subspace.mem_add",
      "Projectivization.Subspace.mem_submodule_iff",
      "Projectivization.Subspace.mk",
      "Projectivization.Subspace.span",
      "Projectivization.Subspace.spanCarrier",
      "Projectivization.Subspace.spanCarrier.rec",
      "Projectivization.Subspace.span_coe",
      "Projectivization.Subspace.span_le_span",
      "Projectivization.Subspace.span_le_subspace_iff",
      "Projectivization.Subspace.submodule",
      "Projectivization.Subspace.subset_span",
      "Projectivization.independent_iff",
      "Projectivization.independent_iff_iSupIndep",
      "Projectivization.instNonemptyOfNontrivial",
      "Projectivization.mk",
      "Projectivization.mk.congr_simp",
      "Projectivization.mk_eq_mk_iff'",
      "Projectivization.mk_rep",
      "Projectivization.rep",
      "Projectivization.rep_nonzero",
      "Projectivization.submodule",
      "Projectivization.submodule_eq",
      "Projectivization.submodule_injective",
      "Projectivization.submodule_mk",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.cobounded_sets._autoParam",
      "PseudoMetricSpace.edist_dist._autoParam",
      "PseudoMetricSpace.mk",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "PseudoMetricSpace.uniformity_dist._autoParam",
      "Quot.mk",
      "Quotient",
      "Quotient.eq",
      "Quotient.inductionOn",
      "Quotient.inductionOn₂",
      "Quotient.lift",
      "Quotient.map'",
      "Quotient.mk",
      "Quotient.mk'",
      "Quotient.mk''",
      "Quotient.sound",
      "QuotientModule.Quotient.topologicalSpace",
      "QuotientModule.Quotient.topologicalSpace._proof_1",
      "QuotientModule.Quotient.topologicalSpace._proof_2",
      "QuotientModule.Quotient.topologicalSpace._proof_3",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instCStarRing",
      "RCLike.instContinuousStar",
      "RCLike.instMulPosReflectLE",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_natCast",
      "RCLike.norm_ofReal",
      "RCLike.norm_sq_eq_def",
      "RCLike.ofReal",
      "RCLike.one_im",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toCompleteSpace",
      "RCLike.toDecidableEq",
      "RCLike.toDenselyNormedField",
      "RCLike.toInnerProductSpaceReal",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.cast",
      "Rat.cast_zero",
      "Rat.commSemiring",
      "Rat.denseRange_cast",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.instOfNat",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instConditionallyCompleteLinearOrder",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInfSet",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.norm_ofNat",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Real.sqrt_sq",
      "RelIso.mk",
      "RelIso.toEquiv",
      "Relation.EqvGen",
      "Relation.EqvGen.rec",
      "Relation.EqvGen.refl",
      "Relation.EqvGen.rel",
      "Relation.EqvGen.setoid",
      "Relation.EqvGen.symm",
      "Relation.EqvGen.trans",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingCon.toCon",
      "RingEquiv",
      "RingEquiv.apply_symm_apply",
      "RingEquiv.ext",
      "RingEquiv.injective",
      "RingEquiv.instEquivLike",
      "RingEquiv.instRingEquivClass",
      "RingEquiv.map_mul",
      "RingEquiv.map_zero",
      "RingEquiv.mk",
      "RingEquiv.refl",
      "RingEquiv.surjective",
      "RingEquiv.symm",
      "RingEquiv.symm_apply_apply",
      "RingEquiv.toEquiv",
      "RingEquiv.toRingHom",
      "RingEquivClass.toNonUnitalRingHomClass",
      "RingEquivClass.toRingHomClass",
      "RingHom",
      "RingHom.ext",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toLinearMapClassNNRat",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomClass.toRingHom",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomCompTriple.right_ids",
      "RingHomInvPair",
      "RingHomInvPair.comp_apply_eq",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.of_ringEquiv",
      "RingHomInvPair.of_ringEquiv_symm",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomIsometric.starRingEnd",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMul.mk",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulCommClass.smul_comm",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulMemClass.smul_mem",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "SProd.sprod",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mk",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearEquivClass.instSemilinearMapClass",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Finite",
      "Set.Finite.fintype",
      "Set.Finite.image",
      "Set.Finite.insert",
      "Set.Finite.union",
      "Set.Icc",
      "Set.Ici",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Nonempty.to_subtype",
      "Set.Pairwise",
      "Set.Subset.antisymm",
      "Set.Subset.rfl",
      "Set.Subset.trans",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.empty_subset",
      "Set.eq_empty_iff_forall_notMem",
      "Set.eq_univ_iff_forall",
      "Set.ext",
      "Set.ext_iff",
      "Set.extremePoints",
      "Set.finite_range",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.iUnion",
      "Set.image",
      "Set.image_congr",
      "Set.image_empty",
      "Set.image_id",
      "Set.image_image",
      "Set.image_mono",
      "Set.image_pair",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.image_union",
      "Set.instAntisymmSubset",
      "Set.instBooleanAlgebra",
      "Set.instBoundedOrder",
      "Set.instCompl",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instOrderTop",
      "Set.instReflSubset",
      "Set.instSProd",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_compl_iff",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_iUnion",
      "Set.mem_iUnion₂",
      "Set.mem_image",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_range_self",
      "Set.mem_sInter",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_union",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.not_nonempty_iff_eq_empty",
      "Set.pairwise_singleton",
      "Set.pi",
      "Set.preimage",
      "Set.preimage_empty",
      "Set.preimage_union",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sInter",
      "Set.sInter_subset_of_mem",
      "Set.sUnion",
      "Set.setOf_forall",
      "Set.singleton_nonempty",
      "Set.singleton_subset_iff",
      "Set.subset_sUnion_of_mem",
      "Set.subset_union_left",
      "Set.subset_union_right",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.union_subset",
      "Set.univ",
      "SetLike",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "SetLike.le_def",
      "SetLike.mem_coe",
      "SetRel.comp",
      "Setoid",
      "Setoid.iseqv",
      "Setoid.mk",
      "Setoid.r",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.mk",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv",
      "StarAlgEquiv.apply_symm_apply",
      "StarAlgEquiv.instEquivLike",
      "StarAlgEquiv.instFunLike",
      "StarAlgEquiv.instNonUnitalAlgEquivClass",
      "StarAlgEquiv.mk",
      "StarAlgEquiv.symm",
      "StarAlgEquiv.symm_apply_apply",
      "StarAlgEquiv.toNonUnitalStarAlgHom",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgEquiv.toStarRingEquiv",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingEquiv.mk",
      "StarRingEquiv.toRingEquiv",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "Sub.mk",
      "SubNegMonoid.mk",
      "SubNegMonoid.sub_eq_add_neg._autoParam",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegMonoid.zsmul_neg'._autoParam",
      "SubNegMonoid.zsmul_succ'._autoParam",
      "SubNegMonoid.zsmul_zero'._autoParam",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.Quotient.addCommGroup._aux_1",
      "Submodule.Quotient.addCommGroup._aux_3",
      "Submodule.Quotient.addCommGroup._aux_6",
      "Submodule.Quotient.addCommGroup._proof_10",
      "Submodule.Quotient.addCommGroup._proof_11",
      "Submodule.Quotient.addCommGroup._proof_12",
      "Submodule.Quotient.addCommGroup._proof_5",
      "Submodule.Quotient.addCommGroup._proof_8",
      "Submodule.Quotient.addCommGroup._proof_9",
      "Submodule.Quotient.addCommMonoid",
      "Submodule.Quotient.addMonoid._aux_1",
      "Submodule.Quotient.addMonoid._aux_6",
      "Submodule.Quotient.addMonoid._proof_3",
      "Submodule.Quotient.addMonoid._proof_4",
      "Submodule.Quotient.addMonoid._proof_5",
      "Submodule.Quotient.addMonoid._proof_8",
      "Submodule.Quotient.addMonoid._proof_9",
      "Submodule.Quotient.completeSpace",
      "Submodule.Quotient.distribMulAction'._proof_1",
      "Submodule.Quotient.distribMulAction'._proof_2",
      "Submodule.Quotient.eq",
      "Submodule.Quotient.instSMul'._proof_2",
      "Submodule.Quotient.instZeroQuotient",
      "Submodule.Quotient.mk",
      "Submodule.Quotient.mk_eq_zero",
      "Submodule.Quotient.module",
      "Submodule.Quotient.module'._proof_3",
      "Submodule.Quotient.module'._proof_4",
      "Submodule.Quotient.mulAction'._proof_1",
      "Submodule.Quotient.mulAction'._proof_2",
      "Submodule.Quotient.norm_mk_le",
      "Submodule.Quotient.norm_mk_lt",
      "Submodule.Quotient.normedAddCommGroup._proof_1",
      "Submodule.Quotient.normedAddCommGroup._proof_2",
      "Submodule.Quotient.normedSpace",
      "Submodule.Quotient.normedSpace._proof_1",
      "Submodule.Quotient.seminormedAddCommGroup",
      "Submodule.Quotient.seminormedAddCommGroup._aux_1",
      "Submodule.Quotient.seminormedAddCommGroup._aux_11",
      "Submodule.Quotient.seminormedAddCommGroup._aux_17",
      "Submodule.Quotient.seminormedAddCommGroup._aux_3",
      "Submodule.Quotient.seminormedAddCommGroup._aux_8",
      "Submodule.Quotient.seminormedAddCommGroup._proof_10",
      "Submodule.Quotient.seminormedAddCommGroup._proof_13",
      "Submodule.Quotient.seminormedAddCommGroup._proof_14",
      "Submodule.Quotient.seminormedAddCommGroup._proof_15",
      "Submodule.Quotient.seminormedAddCommGroup._proof_16",
      "Submodule.Quotient.seminormedAddCommGroup._proof_19",
      "Submodule.Quotient.seminormedAddCommGroup._proof_20",
      "Submodule.Quotient.seminormedAddCommGroup._proof_5",
      "Submodule.Quotient.seminormedAddCommGroup._proof_6",
      "Submodule.Quotient.seminormedAddCommGroup._proof_7",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.addSubgroupClass",
      "Submodule.addSubmonoidClass",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_bot_iff",
      "Submodule.eq_of_le_of_finrank_le",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.exists_le_ker_of_notMem",
      "Submodule.ext",
      "Submodule.finiteDimensional_of_le",
      "Submodule.finiteDimensional_sup",
      "Submodule.hasQuotient",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instHasOrthogonalProjectionOrthogonal",
      "Submodule.instInfSet",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.liftQ",
      "Submodule.liftQL",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_iInf",
      "Submodule.mem_inf",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_pair",
      "Submodule.mem_span_range_iff_exists_fun",
      "Submodule.mem_span_singleton",
      "Submodule.mem_span_singleton_self",
      "Submodule.mem_sup",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.mkQ",
      "Submodule.mkQL",
      "Submodule.mkQ_surjective",
      "Submodule.mk_mem_projectivization_iff",
      "Submodule.module",
      "Submodule.neg_mem",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.norm_starProjection_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.projectivization",
      "Submodule.quotientRel",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_eq_iSup_of_singleton_spans",
      "Submodule.span_le",
      "Submodule.span_singleton_le_iff_mem",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_minimal",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_orthogonal_val",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_mem",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "Submodule.subtypeL",
      "Submodule.sum_mem",
      "Submodule.topEquiv",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submodule.zero_mem",
      "SubmoduleClass.module",
      "SubmoduleClass.toNormedSpace",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.coe_injective",
      "Subtype.ext",
      "Subtype.forall",
      "Subtype.instDecidableEq",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.instLE",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.preorder",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.range_coe_subtype",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.mul_right",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "Superset",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.mk",
      "TopologicalSpace.ofClosed",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Topology.IsInducing",
      "Topology.IsInducing.closure_eq_preimage_closure_image",
      "Topology.IsInducing.piMap",
      "TotallyBounded",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "TwoSidedIdeal",
      "TwoSidedIdeal.coe_top",
      "TwoSidedIdeal.ext",
      "TwoSidedIdeal.instAddSubgroupClass",
      "TwoSidedIdeal.instBot",
      "TwoSidedIdeal.instInfSet",
      "TwoSidedIdeal.instPartialOrder",
      "TwoSidedIdeal.instSemilatticeInf",
      "TwoSidedIdeal.instTop",
      "TwoSidedIdeal.ker",
      "TwoSidedIdeal.mem_bot",
      "TwoSidedIdeal.mem_bot._simp_1",
      "TwoSidedIdeal.mem_iInf",
      "TwoSidedIdeal.mem_inf",
      "TwoSidedIdeal.mem_ker",
      "TwoSidedIdeal.mem_mk'",
      "TwoSidedIdeal.mem_top",
      "TwoSidedIdeal.mk'",
      "TwoSidedIdeal.mul_mem_left",
      "TwoSidedIdeal.mul_mem_right",
      "TwoSidedIdeal.ringCon",
      "TwoSidedIdeal.setLike",
      "TwoSidedIdeal.zero_mem",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "ULift.up",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.mk",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.linearIsometryEquiv",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAddGroup",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instCompleteSpace",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarAddMonoid",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "Units",
      "Units.instMonoid",
      "Units.instMulAction",
      "Units.instOne",
      "Units.instSMul",
      "Units.mk0",
      "Units.val",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "WithLp.instModule",
      "WithLp.ofLp",
      "Zero",
      "Zero.mk",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.coe_eq_zero._simp_1",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_assoc",
      "add_comm",
      "add_le_add",
      "add_left_cancel",
      "add_left_comm",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_neg_cancel_comm_assoc",
      "add_nonneg",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_cancel",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_inj._simp_1",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "algebraMap.coe_zero",
      "and_congr",
      "and_congr_right",
      "and_self",
      "autoParam",
      "binderNameHint",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_add",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "cfcₙ_zero",
      "ciInf_le",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_minimal",
      "closure_singleton",
      "commRing_strongRankCondition",
      "commute_iff_eq",
      "compactOperator",
      "compl_compl",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_apply",
      "continuous_const",
      "continuous_finset_sum",
      "continuous_id",
      "continuous_id'",
      "continuous_iff_isClosed",
      "continuous_norm",
      "continuous_pi",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "convex_singleton",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_nonneg",
      "dist_self",
      "dist_zero_right",
      "dite",
      "dite_cond_eq_false",
      "dite_cond_eq_true",
      "div_eq_mul_inv",
      "div_le_iff₀",
      "div_le_one",
      "div_lt_iff₀",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_pow",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_sub_iff_add_eq",
      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_nat_gt",
      "exists_ne",
      "exists_pair_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "finiteDimensional_bot",
      "forall_congr",
      "forall_const",
      "forall_eq",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_lt_self",
      "half_lt_self_iff._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "iInf",
      "iInf_le",
      "iSup",
      "iSupIndep",
      "iSupIndep_map_orderIso_iff",
      "iSup_congr_Prop",
      "iSup_image",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_le_left",
      "inf_le_right",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_eq_zero_symm",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_eq_zero",
      "inner_self_ne_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_sum",
      "inner_zero_left",
      "inner_zero_right",
      "inseparableSetoid",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIciTopology",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousLinearMapClassWeakDual",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqProd",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDecidableOr",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instDistribSMul",
      "instFaithfulSMul_1",
      "instFintypeOption",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasEquivOfSetoid",
      "instHasSolidNormReal",
      "instHasSummableGeomSeries",
      "instInhabitedNat",
      "instInhabitedPUnit",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsConcreteLE",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsEmptyFalse",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsPrincipalIdealRingOfIsSemisimpleRing",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsSemisimpleModuleOfIsSimpleModule",
      "instIsSimpleModule",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulActionNatOfAddMonoid",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNatCastInt",
      "instNeZeroNatHAdd_1",
      "instNonUnitalAlgHomClassOfNonUnitalAlgEquivClass",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instNonemptyProd",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT2SpaceSubtype",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransIff",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "inv_smul_smul₀",
      "isClosed_Ici",
      "isClosed_biInter",
      "isClosed_closure",
      "isClosed_eq",
      "isClosed_iInter",
      "isClosed_le",
      "isClosed_setOf_isCompactOperator",
      "isClosed_singleton",
      "isClosed_univ",
      "isCompactOperator_of_locallyCompactSpace_dom",
      "isCompactOperator_zero",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isNoetherian_of_isNoetherianRing_of_finite",
      "isOpen_Ioi",
      "isOpen_pi_iff",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_iInf",
      "le_max_left",
      "le_max_right",
      "le_min",
      "le_of_eq",
      "le_of_forall_pos_le_add",
      "le_of_le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "locallyCompact_of_proper",
      "lowerBounds",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_div_iff₀",
      "lt_irrefl",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_lt",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
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      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "lt_trans",
      "map_add",
      "map_div₀",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_natCast",
      "map_neg",
      "map_one",
      "map_pow",
      "map_ratCast",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_closure_iff",
      "mem_extremePoints_iff_left",
      "min_eq_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mt",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_le_of_le_one_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_right_cancel₀",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_add_eq_zero",
      "neg_add_rev",
      "neg_apply",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_one_smul",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "nontrivial_of_ne",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_div",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_exists",
      "not_false",
      "not_false_eq_true",
      "not_le_of_gt",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_or",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_false",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "openSegment_symm",
      "optParam",
      "or_comm",
      "or_self",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "rank_le_one_iff",
      "rank_submodule_le_one_iff'",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_ne_zero",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingAut",
      "starRingEnd",
      "star_div₀",
      "star_eq_zero",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_sum",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "subset_closure",
      "subsingleton_or_nontrivial",
      "sum_apply",
      "sum_inner",
      "sum_mem",
      "summable_geometric_of_norm_lt_one",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_le",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_iff_dist_tendsto_zero",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_ite_eq",
      "tsum_star",
      "two_mul",
      "two_smul",
      "uniformity",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "ClosureSpace.HasContinuousFiniteCompactComparison": [
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommMagma.toAdd",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddSemigroup.toAdd",
      "AddSubmonoid.mk",
      "AddSubsemigroup.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "Algebra.algebraMap",
      "Algebra.id",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.right",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.instFunLike",
      "ClosureOperator.mk'",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommSemiring.toCommMonoid",
      "CommSemiring.toSemiring",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSpace",
      "Complex",
      "Complex.commRing",
      "Complex.instRCLike",
      "Complex.instRing",
      "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
      "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice",
      "ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup",
      "ConditionallyCompletePartialOrderSup.toPartialOrder",
      "ContinuousAdd",
      "ContinuousConstSMul",
      "ContinuousLinearMap",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sum_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSpanSingleton",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "DFunLike.coe",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Dist.dist",
      "Distrib.toMul",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toSemiring",
      "EMetricSpace.metrizableSpace",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "Equiv",
      "Equiv.instEquivLike",
      "EquivLike.toFunLike",
      "Exists",
      "Exists.casesOn",
      "Exists.intro",
      "False",
      "Field.toCommRing",
      "Field.toSemifield",
      "Fin",
      "Fin.fintype",
      "FiniteDimensional",
      "FiniteDimensional.complete",
      "FiniteDimensional.proper_real",
      "FiniteDimensional.rclike_to_real",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.instSetLike",
      "Finset.sum",
      "Finset.sum_congr",
      "Finset.univ",
      "Function.comp",
      "Function.hasSMul",
      "GT.gt",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HMul.hMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "Iff",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Inner.inner",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rankOne_def'",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Inv.inv",
      "InvOneClass.toInv",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsClosed",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.totallyBounded",
      "IsCompactOperator",
      "IsCompactOperator.add",
      "IsCompactOperator.clm_comp",
      "IsCompactOperator.comp_clm",
      "IsCompactOperator.image_closedBall_subset_compact",
      "IsCompactOperator.smul",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "LE.le",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearMap",
      "LinearMap.instFunLike",
      "LinearMap.range",
      "LinearMap.semilinearMapClass",
      "Membership.mem",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.mem_ball",
      "Metric.mem_closedBall",
      "Metric.mem_closure_iff",
      "Metric.totallyBounded_iff",
      "MetricSpace.toEMetricSpace",
      "Module.finrank",
      "Module.toDistribMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toSemigroup",
      "MonoidWithZero.toMulZeroOneClass",
      "Monotone",
      "MulAction.toSemigroupAction",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "Nat",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instNeZeroSucc",
      "Ne",
      "NeZero.charZero_one",
      "NegZeroClass.toZero",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.mk",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalSubalgebra.mk",
      "NonUnitalSubringClass",
      "NonUnitalSubsemiring.mk",
      "Nontrivial",
      "NontriviallyNormedField.toNormedField",
      "Norm.norm",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAlgebra.toAlgebra",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField.toField",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toRing",
      "NormedSpace",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "Not",
      "OfNat.ofNat",
      "One.toOfNat1",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.sum_repr'",
      "PartialOrder.toPreorder",
      "Pi.instAdd",
      "Pi.instZero",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulReflectLE",
      "Preorder.toLE",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.toCompleteSpace",
      "RCLike.toDenselyNormedField",
      "RCLike.toInnerProductSpaceReal",
      "RCLike.toNormedAlgebra",
      "RCLike.toStarRing",
      "Real",
      "Real.instAddCommMonoid",
      "Real.instAddGroup",
      "Real.instConditionallyCompleteLinearOrder",
      "Real.instDivInvMonoid",
      "Real.instField",
      "Real.instInfSet",
      "Real.instInv",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instZero",
      "Real.lattice",
      "Real.linearOrder",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.semiring",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toNonAssocRing",
      "Ring.toSemiring",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHomCompTriple.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomIsometric.ids",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "SemigroupAction.toSMul",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toNonAssocSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "Set",
      "Set.Elem",
      "Set.Finite",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.iUnion",
      "Set.image",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instIsTransSubset",
      "Set.instMembership",
      "Set.mem_empty_iff_false",
      "Set.mem_iUnion₂",
      "Set.mem_univ",
      "Set.range",
      "Set.subset_univ",
      "Set.univ",
      "SetLike.coe",
      "SetLike.instMembership",
      "Star.star",
      "StarMemClass",
      "Std.le_refl._simp_1",
      "StrongDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "Submodule",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.addSubmonoidClass",
      "Submodule.finiteDimensional_of_le",
      "Submodule.innerProductSpace",
      "Submodule.instPartialOrder",
      "Submodule.module",
      "Submodule.normedAddCommGroup",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smulMemClass",
      "Submodule.span",
      "Submodule.starProjection",
      "Submodule.starProjection_minimal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.val",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "TotallyBounded",
      "Trans.trans",
      "True",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace.toTopologicalSpace",
      "Zero.toOfNat0",
      "abs",
      "abs_of_pos",
      "ciInf_le",
      "closure",
      "closure_minimal",
      "compactOperator",
      "congr",
      "congrArg",
      "congrFun'",
      "dist_eq_norm",
      "dist_zero_right",
      "dite",
      "div_eq_mul_inv",
      "div_le_iff₀",
      "eq_false",
      "eq_self",
      "eq_true",
      "false_implies",
      "forall_congr",
      "half_lt_self",
      "half_pos",
      "iInf",
      "id",
      "iff_self",
      "implies_congr",
      "implies_true",
      "innerSL",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instDistribOfSemiring",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHSMul",
      "instHSub",
      "instMulZeroClassOfSemiring",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instReflLe",
      "instT2SpaceSubtype",
      "instTopologicalSpaceSubtype",
      "instTransEq",
      "instTransLE",
      "instUniformSpaceSubtype",
      "inv_mul_cancel₀",
      "isClosed_setOf_isCompactOperator",
      "isCompactOperator_of_locallyCompactSpace_dom",
      "isCompactOperator_zero",
      "le_refl",
      "locallyCompact_of_proper",
      "lowerBounds",
      "map_smul",
      "map_sum",
      "map_zero",
      "mul_comm",
      "norm_algebraMap'",
      "norm_inv",
      "norm_nonneg",
      "norm_norm",
      "norm_pos_iff",
      "norm_smul",
      "norm_zero",
      "not_false_eq_true",
      "of_eq_true",
      "one_ne_zero",
      "propext",
      "rfl",
      "setOf",
      "smulCommClass_self",
      "starRingEnd",
      "stdOrthonormalBasis",
      "sub_apply",
      "sub_self",
      "sum_mem"
    ],
    "ClosureSpace.HasCompactOperatorHomeomorph": [
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommMagma.toAdd",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddSemigroup.toAdd",
      "AddSubmonoid.mk",
      "AddSubsemigroup.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "Algebra.algebraMap",
      "Algebra.id",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.right",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.instFunLike",
      "ClosureOperator.mk'",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommSemiring.toCommMonoid",
      "CommSemiring.toSemiring",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSpace",
      "Complex",
      "Complex.commRing",
      "Complex.instRCLike",
      "Complex.instRing",
      "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
      "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice",
      "ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup",
      "ConditionallyCompletePartialOrderSup.toPartialOrder",
      "ContinuousAdd",
      "ContinuousConstSMul",
      "ContinuousLinearMap",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sum_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSpanSingleton",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "DFunLike.coe",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Dist.dist",
      "Distrib.toMul",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toSemiring",
      "EMetricSpace.metrizableSpace",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "EquivLike.toFunLike",
      "Exists",
      "Exists.casesOn",
      "Exists.intro",
      "False",
      "Field.toCommRing",
      "Field.toSemifield",
      "Fin",
      "Fin.fintype",
      "FiniteDimensional",
      "FiniteDimensional.complete",
      "FiniteDimensional.proper_real",
      "FiniteDimensional.rclike_to_real",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.instSetLike",
      "Finset.sum",
      "Finset.sum_congr",
      "Finset.univ",
      "Function.comp",
      "Function.hasSMul",
      "GT.gt",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HMul.hMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "Iff",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Inner.inner",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rankOne_def'",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Inv.inv",
      "InvOneClass.toInv",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsClosed",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.totallyBounded",
      "IsCompactOperator",
      "IsCompactOperator.add",
      "IsCompactOperator.clm_comp",
      "IsCompactOperator.comp_clm",
      "IsCompactOperator.image_closedBall_subset_compact",
      "IsCompactOperator.smul",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "LE.le",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearMap",
      "LinearMap.instFunLike",
      "LinearMap.range",
      "LinearMap.semilinearMapClass",
      "Membership.mem",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.mem_ball",
      "Metric.mem_closedBall",
      "Metric.mem_closure_iff",
      "Metric.totallyBounded_iff",
      "MetricSpace.toEMetricSpace",
      "Module.finrank",
      "Module.toDistribMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toSemigroup",
      "MonoidWithZero.toMulZeroOneClass",
      "Monotone",
      "MulAction.toSemigroupAction",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "Nat",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instNeZeroSucc",
      "Ne",
      "NeZero.charZero_one",
      "NegZeroClass.toZero",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.mk",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalSubalgebra.mk",
      "NonUnitalSubringClass",
      "NonUnitalSubsemiring.mk",
      "Nonempty",
      "Nontrivial",
      "NontriviallyNormedField.toNormedField",
      "Norm.norm",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAlgebra.toAlgebra",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField.toField",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toRing",
      "NormedSpace",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "Not",
      "OfNat.ofNat",
      "One.toOfNat1",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.sum_repr'",
      "PartialOrder.toPreorder",
      "Pi.instAdd",
      "Pi.instZero",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulReflectLE",
      "Preorder.toLE",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.toCompleteSpace",
      "RCLike.toDenselyNormedField",
      "RCLike.toInnerProductSpaceReal",
      "RCLike.toNormedAlgebra",
      "RCLike.toStarRing",
      "Real",
      "Real.instAddCommMonoid",
      "Real.instAddGroup",
      "Real.instConditionallyCompleteLinearOrder",
      "Real.instDivInvMonoid",
      "Real.instField",
      "Real.instInfSet",
      "Real.instInv",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instZero",
      "Real.lattice",
      "Real.linearOrder",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.semiring",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toNonAssocRing",
      "Ring.toSemiring",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHomCompTriple.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomIsometric.ids",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "SemigroupAction.toSMul",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toNonAssocSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "Set",
      "Set.Elem",
      "Set.Finite",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.iUnion",
      "Set.image",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instIsTransSubset",
      "Set.instMembership",
      "Set.mem_empty_iff_false",
      "Set.mem_iUnion₂",
      "Set.mem_univ",
      "Set.range",
      "Set.subset_univ",
      "Set.univ",
      "SetLike.coe",
      "SetLike.instMembership",
      "Star.star",
      "StarMemClass",
      "Std.le_refl._simp_1",
      "StrongDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "Submodule",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.addSubmonoidClass",
      "Submodule.finiteDimensional_of_le",
      "Submodule.innerProductSpace",
      "Submodule.instPartialOrder",
      "Submodule.module",
      "Submodule.normedAddCommGroup",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smulMemClass",
      "Submodule.span",
      "Submodule.starProjection",
      "Submodule.starProjection_minimal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.val",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "TotallyBounded",
      "Trans.trans",
      "True",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace.toTopologicalSpace",
      "Zero.toOfNat0",
      "abs",
      "abs_of_pos",
      "ciInf_le",
      "closure",
      "closure_minimal",
      "compactOperator",
      "congr",
      "congrArg",
      "congrFun'",
      "dist_eq_norm",
      "dist_zero_right",
      "dite",
      "div_eq_mul_inv",
      "div_le_iff₀",
      "eq_false",
      "eq_self",
      "eq_true",
      "false_implies",
      "forall_congr",
      "half_lt_self",
      "half_pos",
      "iInf",
      "id",
      "iff_self",
      "implies_congr",
      "implies_true",
      "innerSL",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instDistribOfSemiring",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHSMul",
      "instHSub",
      "instMulZeroClassOfSemiring",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instReflLe",
      "instT2SpaceSubtype",
      "instTopologicalSpaceSubtype",
      "instTransEq",
      "instTransLE",
      "instUniformSpaceSubtype",
      "inv_mul_cancel₀",
      "isClosed_setOf_isCompactOperator",
      "isCompactOperator_of_locallyCompactSpace_dom",
      "isCompactOperator_zero",
      "le_refl",
      "locallyCompact_of_proper",
      "lowerBounds",
      "map_smul",
      "map_sum",
      "map_zero",
      "mul_comm",
      "norm_algebraMap'",
      "norm_inv",
      "norm_nonneg",
      "norm_norm",
      "norm_pos_iff",
      "norm_smul",
      "norm_zero",
      "not_false_eq_true",
      "of_eq_true",
      "one_ne_zero",
      "propext",
      "rfl",
      "setOf",
      "smulCommClass_self",
      "starRingEnd",
      "stdOrthonormalBasis",
      "sub_apply",
      "sub_self",
      "sum_mem"
    ],
    "ClosureSpace.HasFiniteDimensionalCompactHomeomorph": [
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommMagma.toAdd",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddSemigroup.toAdd",
      "AddSubmonoid.mk",
      "AddSubsemigroup.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "Algebra.algebraMap",
      "Algebra.id",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.right",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.instFunLike",
      "ClosureOperator.mk'",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommSemiring.toCommMonoid",
      "CommSemiring.toSemiring",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSpace",
      "Complex",
      "Complex.commRing",
      "Complex.instNormedField",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
      "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice",
      "ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup",
      "ConditionallyCompletePartialOrderSup.toPartialOrder",
      "ContinuousAdd",
      "ContinuousConstSMul",
      "ContinuousLinearMap",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sum_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSpanSingleton",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "DFunLike.coe",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Dist.dist",
      "Distrib.toMul",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toSemiring",
      "EMetricSpace.metrizableSpace",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "EquivLike.toFunLike",
      "Exists",
      "Exists.casesOn",
      "Exists.intro",
      "False",
      "Field.toCommRing",
      "Field.toSemifield",
      "Fin",
      "Fin.fintype",
      "FiniteDimensional",
      "FiniteDimensional.complete",
      "FiniteDimensional.proper_real",
      "FiniteDimensional.rclike_to_real",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.instSetLike",
      "Finset.sum",
      "Finset.sum_congr",
      "Finset.univ",
      "Function.comp",
      "Function.hasSMul",
      "GT.gt",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HMul.hMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "Iff",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Inner.inner",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rankOne_def'",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Inv.inv",
      "InvOneClass.toInv",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsClosed",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.totallyBounded",
      "IsCompactOperator",
      "IsCompactOperator.add",
      "IsCompactOperator.clm_comp",
      "IsCompactOperator.comp_clm",
      "IsCompactOperator.image_closedBall_subset_compact",
      "IsCompactOperator.smul",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "LE.le",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearMap",
      "LinearMap.instFunLike",
      "LinearMap.range",
      "LinearMap.semilinearMapClass",
      "Membership.mem",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.mem_ball",
      "Metric.mem_closedBall",
      "Metric.mem_closure_iff",
      "Metric.totallyBounded_iff",
      "MetricSpace.toEMetricSpace",
      "Module.finrank",
      "Module.toDistribMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toSemigroup",
      "MonoidWithZero.toMulZeroOneClass",
      "Monotone",
      "MulAction.toSemigroupAction",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "Nat",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instNeZeroSucc",
      "Ne",
      "NeZero.charZero_one",
      "NegZeroClass.toZero",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.mk",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalSubalgebra.mk",
      "NonUnitalSubringClass",
      "NonUnitalSubsemiring.mk",
      "Nonempty",
      "Nontrivial",
      "NontriviallyNormedField.toNormedField",
      "Norm.norm",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAlgebra.toAlgebra",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField.toField",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toRing",
      "NormedSpace",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "Not",
      "OfNat.ofNat",
      "One.toOfNat1",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.sum_repr'",
      "PartialOrder.toPreorder",
      "Pi.instAdd",
      "Pi.instZero",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulReflectLE",
      "Preorder.toLE",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.toCompleteSpace",
      "RCLike.toDenselyNormedField",
      "RCLike.toInnerProductSpaceReal",
      "RCLike.toNormedAlgebra",
      "RCLike.toStarRing",
      "Real",
      "Real.instAddCommMonoid",
      "Real.instAddGroup",
      "Real.instConditionallyCompleteLinearOrder",
      "Real.instDivInvMonoid",
      "Real.instField",
      "Real.instInfSet",
      "Real.instInv",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instZero",
      "Real.lattice",
      "Real.linearOrder",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.semiring",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toNonAssocRing",
      "Ring.toSemiring",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHomCompTriple.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomIsometric.ids",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "SemigroupAction.toSMul",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toNonAssocSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "Set",
      "Set.Elem",
      "Set.Finite",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.iUnion",
      "Set.image",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instIsTransSubset",
      "Set.instMembership",
      "Set.mem_empty_iff_false",
      "Set.mem_iUnion₂",
      "Set.mem_univ",
      "Set.range",
      "Set.subset_univ",
      "Set.univ",
      "SetLike.coe",
      "SetLike.instMembership",
      "Star.star",
      "StarMemClass",
      "Std.le_refl._simp_1",
      "StrongDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "Submodule",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.addSubmonoidClass",
      "Submodule.finiteDimensional_of_le",
      "Submodule.innerProductSpace",
      "Submodule.instPartialOrder",
      "Submodule.module",
      "Submodule.normedAddCommGroup",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smulMemClass",
      "Submodule.span",
      "Submodule.starProjection",
      "Submodule.starProjection_minimal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.val",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "TotallyBounded",
      "Trans.trans",
      "True",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace.toTopologicalSpace",
      "Zero.toOfNat0",
      "abs",
      "abs_of_pos",
      "ciInf_le",
      "closure",
      "closure_minimal",
      "compactOperator",
      "congr",
      "congrArg",
      "congrFun'",
      "dist_eq_norm",
      "dist_zero_right",
      "dite",
      "div_eq_mul_inv",
      "div_le_iff₀",
      "eq_false",
      "eq_self",
      "eq_true",
      "false_implies",
      "forall_congr",
      "half_lt_self",
      "half_pos",
      "iInf",
      "id",
      "iff_self",
      "implies_congr",
      "implies_true",
      "innerSL",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instDistribOfSemiring",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHSMul",
      "instHSub",
      "instMulZeroClassOfSemiring",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instReflLe",
      "instT2SpaceSubtype",
      "instTopologicalSpaceSubtype",
      "instTransEq",
      "instTransLE",
      "instUniformSpaceSubtype",
      "inv_mul_cancel₀",
      "isClosed_setOf_isCompactOperator",
      "isCompactOperator_of_locallyCompactSpace_dom",
      "isCompactOperator_zero",
      "le_refl",
      "locallyCompact_of_proper",
      "lowerBounds",
      "map_smul",
      "map_sum",
      "map_zero",
      "mul_comm",
      "norm_algebraMap'",
      "norm_inv",
      "norm_nonneg",
      "norm_norm",
      "norm_pos_iff",
      "norm_smul",
      "norm_zero",
      "not_false_eq_true",
      "of_eq_true",
      "one_ne_zero",
      "propext",
      "rfl",
      "setOf",
      "smulCommClass_self",
      "starRingEnd",
      "stdOrthonormalBasis",
      "sub_apply",
      "sub_self",
      "sum_mem"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_compact_le_iff_component_compact_comparison": [
      "Add.mk",
      "AddCancelCommMonoid.toAddLeftCancelMonoid",
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.mk",
      "AddCommGroup.toAddCancelCommMonoid",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.mk",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelMonoid.toAddLeftCancelSemigroup",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.mk",
      "AddMonoid.nsmul_succ._autoParam",
      "AddMonoid.nsmul_zero._autoParam",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instAddMonoidHomClass",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.isometry_of_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup",
      "AddSemigroup.mk",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.sub",
      "AddSubgroupClass.toAddGroup._proof_6",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.coe_finsetSum",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Antitone",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bornology.cobounded",
      "Bornology.mk",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "BoundedOrder.toOrderTop",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.instNonnegSpectrumClass'",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "Cardinal",
      "Cardinal.aleph0",
      "Cardinal.commSemiring",
      "Cardinal.instLE",
      "Cardinal.instNatCast",
      "Cardinal.instOne",
      "Cardinal.isOrderedRing",
      "Cardinal.lift",
      "Cardinal.lift_mk_le'",
      "Cardinal.lift_ofNat",
      "Cardinal.lift_uzero",
      "Cardinal.linearOrder",
      "Cardinal.mk",
      "Cardinal.mk_fintype",
      "Cardinal.natCast_lt_aleph0",
      "Cardinal.partialOrder",
      "Cardinal.two_le_iff_one_lt",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choice",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_forall",
      "Classical.not_imp._simp_2",
      "Classical.not_not",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.closure_top",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.isClosed_iff",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toCommMonoid",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "Compl.compl",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toBoundedOrder",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toCompleteSemilatticeSup",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteLattice.toLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSemilatticeSup.toSupSet",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.exists_norm_eq_mul_self",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instCompleteSpace",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRatCast",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_I",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_add_im",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "Con.toSetoid",
      "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
      "ConditionallyCompleteLattice.toLattice",
      "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice",
      "ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup",
      "ConditionallyCompletePartialOrderSup.toPartialOrder",
      "ConditionallyCompletePartialOrderSup.toSupSet",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.norm",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv",
      "ContinuousLinearEquiv.continuousSemilinearEquivClass",
      "ContinuousLinearEquiv.equivLike",
      "ContinuousLinearEquiv.injective",
      "ContinuousLinearEquiv.mk",
      "ContinuousLinearEquiv.refl",
      "ContinuousLinearEquiv.symm",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearEquiv.toLinearEquiv",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.codRestrict",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_id",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.id_comp",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.map_tsum",
      "ContinuousLinearMap.map_zero",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.opNorm_zero",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.sum_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.toSpanSingleton",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousLinearMapWOT",
      "ContinuousLinearMapWOT.continuous_dual_apply",
      "ContinuousLinearMapWOT.inducingFn",
      "ContinuousLinearMapWOT.instAddCommGroup",
      "ContinuousLinearMapWOT.instFunLike",
      "ContinuousLinearMapWOT.instModule",
      "ContinuousLinearMapWOT.instTopologicalSpace",
      "ContinuousLinearMapWOT.isInducing_inducingFn",
      "ContinuousLinearMapWOT.ofCLM",
      "ContinuousLinearMapWOT.toCLM",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.mul",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearEquivClass.continuousSemilinearMapClass",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.equalizer",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Directed",
      "Disjoint",
      "Dist.dist",
      "Dist.mk",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.mk",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.isSimpleRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRatCast",
      "DivisionRing.toRing",
      "DivisionSemiring.isPrincipalIdealRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "ENNReal.ofReal",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.subset",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Eq.trans_ne",
      "Equiv",
      "Equiv.Perm.star",
      "Equiv.apply_symm_apply",
      "Equiv.ext",
      "Equiv.injective",
      "Equiv.instEquivLike",
      "Equiv.invFun",
      "Equiv.left_inv",
      "Equiv.mk",
      "Equiv.ofBijective",
      "Equiv.prodComm",
      "Equiv.refl",
      "Equiv.right_inv",
      "Equiv.surjective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "Equiv.symm_image_image",
      "Equiv.toFun",
      "Equiv.trans",
      "EquivLike.toFunLike",
      "Equivalence",
      "Equivalence.mk",
      "Equivalence.refl",
      "Equivalence.symm",
      "Equivalence.trans",
      "EuclideanDomain.toNontrivial",
      "EuclideanDomain.to_principal_ideal_domain",
      "EuclideanSpace",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.instIsLocalRing",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toEuclideanDomain",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.cofinite",
      "Filter.comap",
      "Filter.instInfSet",
      "Filter.instPartialOrder",
      "Filter.lift'",
      "Filter.mp_mem",
      "Filter.principal",
      "Filter.sets",
      "Filter.univ_mem'",
      "Fin",
      "Fin.ext_iff",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.isLt",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.complete",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.proper_real",
      "FiniteDimensional.rclike_to_real",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.Subtype.fintype",
      "Finset.card",
      "Finset.card_singleton",
      "Finset.decidableMem",
      "Finset.induction_on",
      "Finset.instEmptyCollection",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.instSingleton",
      "Finset.mem_insert",
      "Finset.mem_insert_of_mem",
      "Finset.mem_insert_self",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.notMem_empty._simp_1",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.smul_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_comm",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_eq_zero",
      "Finset.sum_ite_eq",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.sum_smul",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Finset.univ_unique",
      "Finsupp",
      "Finsupp.ext",
      "Finsupp.instAdd",
      "Finsupp.instAddCommGroup",
      "Finsupp.instAddCommMonoid",
      "Finsupp.instFunLike",
      "Finsupp.instSub",
      "Finsupp.instZero",
      "Finsupp.linearCombination",
      "Finsupp.mapRange",
      "Finsupp.mapRange.congr_simp",
      "Finsupp.mapRange_mapRange",
      "Finsupp.mapRange_mapRange._proof_1",
      "Finsupp.mem_support_iff",
      "Finsupp.module",
      "Finsupp.single",
      "Finsupp.single_eq_of_ne",
      "Finsupp.single_eq_same",
      "Finsupp.single_sub",
      "Finsupp.smulZeroClass",
      "Finsupp.smul_single",
      "Finsupp.support",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "Fintype.sum_option",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Bijective",
      "Function.Embedding",
      "Function.Embedding.injective",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.Injective.ne",
      "Function.Involutive",
      "Function.LeftInverse",
      "Function.RightInverse",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "Function.hasSMul",
      "Function.instFunLikeEmbedding",
      "Function.update",
      "Function.update_of_ne",
      "Function.update_self",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasEquiv.Equiv",
      "HasQuotient.Quotient",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.antisymm",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Homeomorph",
      "Homeomorph.mk",
      "Homeomorph.toEquiv",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.of_eq",
      "Iff.rfl",
      "Iff.symm",
      "Iff.trans",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rankOne_comp_rankOne",
      "InnerProductSpace.rankOne_def'",
      "InnerProductSpace.rankOne_ne_zero",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toDual",
      "InnerProductSpace.toDual_symm_apply",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.add_one_le_of_lt",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instLEInt",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.instSub",
      "Int.mul",
      "Int.natCast_add",
      "Int.natCast_nonneg",
      "Int.negOfNat",
      "Int.negSucc",
      "Int.ofNat",
      "Int.rawCast",
      "Int.sub_nonneg_of_le",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsCancelMulZero.toIsRightCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.completeSpace_coe",
      "IsClosed.inter",
      "IsClosed.isOpen_compl",
      "IsClosed.mem_of_tendsto",
      "IsClosed.mk",
      "IsClosed.preimage",
      "IsCoatom",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.inter_right",
      "IsCompact.nonempty_iInter_of_directed_nonempty_isCompact_isClosed",
      "IsCompact.of_isClosed_subset",
      "IsCompact.totallyBounded",
      "IsCompactOperator",
      "IsCompactOperator.add",
      "IsCompactOperator.clm_comp",
      "IsCompactOperator.comp_clm",
      "IsCompactOperator.image_closedBall_subset_compact",
      "IsCompactOperator.smul",
      "IsConcreteLE",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsEmpty.forall_iff._simp_1",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsLocalRing.toNontrivial",
      "IsModuleTopology.toContinuousSMul",
      "IsNoetherianRing.strongRankCondition",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.cfcₙ",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsSimpleRing.instNontrivial",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsTopologicalSemiring.toIsModuleTopology",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_eq",
      "LE.le.trans_lt",
      "LE.mk",
      "LT.lt",
      "LT.lt.false",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "LT.mk",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Lean.Omega.Coeffs.ofList",
      "Lean.Omega.Constraint.addInequality_sat",
      "Lean.Omega.Constraint.combine_sat'",
      "Lean.Omega.Constraint.isImpossible",
      "Lean.Omega.Constraint.mk",
      "Lean.Omega.Constraint.not_sat'_of_isImpossible",
      "Lean.Omega.Int.add_congr",
      "Lean.Omega.Int.ofNat_le_of_le",
      "Lean.Omega.Int.ofNat_lt_of_lt",
      "Lean.Omega.Int.sub_congr",
      "Lean.Omega.LinearCombo",
      "Lean.Omega.LinearCombo.add_eval",
      "Lean.Omega.LinearCombo.coordinate",
      "Lean.Omega.LinearCombo.coordinate_eval_0",
      "Lean.Omega.LinearCombo.coordinate_eval_1",
      "Lean.Omega.LinearCombo.coordinate_eval_2",
      "Lean.Omega.LinearCombo.eval",
      "Lean.Omega.LinearCombo.instAdd",
      "Lean.Omega.LinearCombo.instSub",
      "Lean.Omega.LinearCombo.mk",
      "Lean.Omega.LinearCombo.sub_eval",
      "Lean.Omega.combo_sat'",
      "Lean.Omega.tidy_sat",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.apply_symm_apply",
      "LinearEquiv.continuous_symm",
      "LinearEquiv.injective",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.instSemilinearEquivClass",
      "LinearEquiv.map_add",
      "LinearEquiv.map_smulₛₗ",
      "LinearEquiv.mk",
      "LinearEquiv.refl",
      "LinearEquiv.surjective",
      "LinearEquiv.symm",
      "LinearEquiv.symm_apply_apply",
      "LinearEquiv.toContinuousLinearEquivOfContinuous",
      "LinearEquiv.toLinearMap",
      "LinearIndependent",
      "LinearIndependent.eq_of_pair",
      "LinearIndependent.pair_iff'",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometry.isometry",
      "LinearIsometry.toLinearMap",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.mk",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.refl",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.trans",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.IsSymmetric.id._simp_1",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.coe_sum",
      "LinearMap.comp",
      "LinearMap.congr_fun",
      "LinearMap.continuous_iff_isClosed_ker",
      "LinearMap.continuous_of_seq_closed_graph",
      "LinearMap.exists_extend",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.isCoatom_ker_of_surjective",
      "LinearMap.isometryOfInner",
      "LinearMap.ker",
      "LinearMap.ker_pi",
      "LinearMap.ker_zero",
      "LinearMap.map_smulₛₗ",
      "LinearMap.mem_ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.pi",
      "LinearMap.quotKerEquivRange",
      "LinearMap.quotKerEquivRange_symm_apply_image",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.sum_apply",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toDecidableLT",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "LinearOrderedSemiField.toDenselyOrdered",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_eq_false",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_eq_true",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.natCast_nonneg",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Push.not_forall_eq",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.atom_pf'",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Matrix.cons_val_fin_one",
      "Matrix.of",
      "Matrix.vecCons",
      "Matrix.vecEmpty",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.continuous_iff",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.isOpen_iff",
      "Metric.mem_ball",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "Metric.totallyBounded_iff",
      "MetricSpace",
      "MetricSpace.mk",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.Basis",
      "Module.Basis.coord",
      "Module.Basis.instFunLike",
      "Module.Basis.linearIndependent",
      "Module.Basis.mem_span_image",
      "Module.Basis.mk",
      "Module.Basis.mk_apply",
      "Module.Basis.ne_zero",
      "Module.Basis.repr",
      "Module.Basis.repr_linearCombination",
      "Module.Basis.repr_self",
      "Module.Basis.repr_symm_apply",
      "Module.Basis.span_eq",
      "Module.Basis.unitsSMul",
      "Module.Basis.unitsSMul_apply",
      "Module.Finite",
      "Module.Finite.of_basis",
      "Module.Finite.of_surjective",
      "Module.Finite.top",
      "Module.Free.ChooseBasisIndex",
      "Module.Free.chooseBasis",
      "Module.Free.of_divisionRing",
      "Module.Free.rank_eq_card_chooseBasisIndex",
      "Module.complexToReal",
      "Module.finBasis",
      "Module.finrank",
      "Module.finrank_eq_card_basis",
      "Module.mk",
      "Module.rank",
      "Module.rank_lt_aleph0_iff",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "Mul.mk",
      "MulAction",
      "MulAction.mk",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionSemiHomClass.map_smulₛₗ",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.below",
      "Nat.ble",
      "Nat.brecOn",
      "Nat.casesOn",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_add._simp_1",
      "Nat.cast_inj._simp_1",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.decLt",
      "Nat.decidableBallLT",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instLinearOrder",
      "Nat.instMax",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_induction",
      "Nat.le_of_lt",
      "Nat.le_of_not_lt",
      "Nat.le_refl",
      "Nat.lt_or_gt_of_ne",
      "Nat.lt_succ_self",
      "Nat.mul",
      "Nat.ofNat_pos._simp_1",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.mk",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.norm_quasispectrum_le",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing",
      "NonUnitalNonAssocRing.left_distrib",
      "NonUnitalNonAssocRing.mk",
      "NonUnitalNonAssocRing.mul_zero",
      "NonUnitalNonAssocRing.right_distrib",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toMul",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.zero_mul",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.mk",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing",
      "NonUnitalRing.mk",
      "NonUnitalRing.mul_assoc",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.codRestrict",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mem_range",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.range",
      "NonUnitalStarAlgHom.rangeRestrict",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarAlgebra.instCompleteLatticeNonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.ext",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instPartialOrder",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.mk",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring._proof_1",
      "NonUnitalStarSubalgebra.toNonUnitalSubalgebra",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebra.mk",
      "NonUnitalSubalgebra.toSubmodule",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiring.mk",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.toAddSubmonoidClass",
      "NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring",
      "Nonempty",
      "Nonempty.casesOn",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "NonnegSpectrumClass.quasispectrum_nonneg_of_nonneg",
      "Nontrivial",
      "Nontrivial.mk",
      "Nontrivial.to_nonempty",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.mk",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.dist_eq",
      "NormedAddCommGroup.dist_eq._autoParam",
      "NormedAddCommGroup.mk",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.mk",
      "NormedSpace.norm_normalize",
      "NormedSpace.normalize",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Option",
      "Option.elim'",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Or.resolve_right",
      "Order.Frame.toHeytingAlgebra",
      "Order.IsIdeal.Directed",
      "Order.IsIdeal.IsLowerSet",
      "Order.IsIdeal.Nonempty",
      "Order.IsPFilter",
      "Order.IsPFilter.of_def",
      "OrderBot.toBot",
      "OrderDual",
      "OrderDual.instLE",
      "OrderDual.ofDual",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderIso.apply_symm_apply",
      "OrderIso.injective",
      "OrderIso.map_iSup",
      "OrderIso.map_sup",
      "OrderIso.map_top",
      "OrderIso.monotone",
      "OrderIso.symm",
      "OrderIso.symm_apply_apply",
      "OrderIso.trans",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.repr",
      "OrthonormalBasis.repr_apply_apply",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "OrthonormalBasis.sum_repr",
      "OrthonormalBasis.sum_repr'",
      "PUnit.fintype",
      "PUnit.instUnique",
      "PUnit.unit",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.Function.module",
      "Pi.addCommGroup",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instSMul",
      "Pi.instSub",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_apply",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "Pi.topologicalSpace",
      "PiLp.innerProductSpace._proof_1",
      "PiLp.seminormedAddCommGroup",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder",
      "Preorder.mk",
      "Preorder.toLE",
      "Preorder.toLT",
      "PrincipalIdealRing.isNoetherianRing",
      "Prod",
      "Prod.algebra",
      "Prod.casesOn",
      "Prod.ext",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.swap",
      "Prod.swap_swap",
      "Prod.toNorm",
      "Projectivization",
      "Projectivization.Independent",
      "Projectivization.Independent.mk",
      "Projectivization.Subspace",
      "Projectivization.Subspace.instCompleteLattice",
      "Projectivization.Subspace.instPartialOrder",
      "Projectivization.Subspace.instSetLike",
      "Projectivization.Subspace.mem_add",
      "Projectivization.Subspace.mem_submodule_iff",
      "Projectivization.Subspace.mk",
      "Projectivization.Subspace.span",
      "Projectivization.Subspace.spanCarrier",
      "Projectivization.Subspace.spanCarrier.rec",
      "Projectivization.Subspace.span_coe",
      "Projectivization.Subspace.span_le_span",
      "Projectivization.Subspace.span_le_subspace_iff",
      "Projectivization.Subspace.submodule",
      "Projectivization.Subspace.subset_span",
      "Projectivization.independent_iff",
      "Projectivization.independent_iff_iSupIndep",
      "Projectivization.instNonemptyOfNontrivial",
      "Projectivization.mk",
      "Projectivization.mk.congr_simp",
      "Projectivization.mk_eq_mk_iff'",
      "Projectivization.mk_rep",
      "Projectivization.rep",
      "Projectivization.rep_nonzero",
      "Projectivization.submodule",
      "Projectivization.submodule_eq",
      "Projectivization.submodule_injective",
      "Projectivization.submodule_mk",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.cobounded_sets._autoParam",
      "PseudoMetricSpace.edist_dist._autoParam",
      "PseudoMetricSpace.mk",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "PseudoMetricSpace.uniformity_dist._autoParam",
      "Quotient",
      "Quotient.eq",
      "Quotient.inductionOn",
      "Quotient.inductionOn₂",
      "Quotient.lift",
      "Quotient.map'",
      "Quotient.mk",
      "Quotient.mk'",
      "Quotient.mk''",
      "Quotient.sound",
      "QuotientModule.Quotient.topologicalSpace",
      "QuotientModule.Quotient.topologicalSpace._proof_1",
      "QuotientModule.Quotient.topologicalSpace._proof_2",
      "QuotientModule.Quotient.topologicalSpace._proof_3",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instCStarRing",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_natCast",
      "RCLike.norm_ofReal",
      "RCLike.norm_sq_eq_def",
      "RCLike.ofReal",
      "RCLike.one_im",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toCompleteSpace",
      "RCLike.toDecidableEq",
      "RCLike.toDenselyNormedField",
      "RCLike.toInnerProductSpaceReal",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.cast",
      "Rat.cast_zero",
      "Rat.commSemiring",
      "Rat.denseRange_cast",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.instOfNat",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instConditionallyCompleteLinearOrder",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInfSet",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.norm_ofNat",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Real.sqrt_sq",
      "RelIso.mk",
      "RelIso.toEquiv",
      "Relation.EqvGen",
      "Relation.EqvGen.rec",
      "Relation.EqvGen.rel",
      "Relation.EqvGen.setoid",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingCon.toCon",
      "RingEquiv",
      "RingEquiv.apply_symm_apply",
      "RingEquiv.ext",
      "RingEquiv.injective",
      "RingEquiv.instEquivLike",
      "RingEquiv.instRingEquivClass",
      "RingEquiv.map_mul",
      "RingEquiv.map_zero",
      "RingEquiv.mk",
      "RingEquiv.refl",
      "RingEquiv.surjective",
      "RingEquiv.symm",
      "RingEquiv.symm_apply_apply",
      "RingEquiv.toEquiv",
      "RingEquiv.toRingHom",
      "RingEquivClass.toNonUnitalRingHomClass",
      "RingEquivClass.toRingHomClass",
      "RingHom",
      "RingHom.ext",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toLinearMapClassNNRat",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomClass.toRingHom",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomCompTriple.right_ids",
      "RingHomInvPair",
      "RingHomInvPair.comp_apply_eq",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.of_ringEquiv",
      "RingHomInvPair.of_ringEquiv_symm",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomIsometric.starRingEnd",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMul.mk",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulCommClass.smul_comm",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulMemClass.smul_mem",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "SProd.sprod",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mk",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearEquivClass.instSemilinearMapClass",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Finite",
      "Set.Finite.fintype",
      "Set.Finite.image",
      "Set.Finite.insert",
      "Set.Finite.union",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Nonempty.to_subtype",
      "Set.Pairwise",
      "Set.Subset.antisymm",
      "Set.Subset.rfl",
      "Set.Subset.trans",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.empty_subset",
      "Set.eq_empty_iff_forall_notMem",
      "Set.eq_univ_iff_forall",
      "Set.ext",
      "Set.ext_iff",
      "Set.extremePoints",
      "Set.finite_range",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.iUnion",
      "Set.image",
      "Set.image_congr",
      "Set.image_empty",
      "Set.image_id",
      "Set.image_image",
      "Set.image_mono",
      "Set.image_pair",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.image_union",
      "Set.instAntisymmSubset",
      "Set.instBooleanAlgebra",
      "Set.instBoundedOrder",
      "Set.instCompl",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instOrderTop",
      "Set.instReflSubset",
      "Set.instSProd",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_compl_iff",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_iUnion₂",
      "Set.mem_image",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_range_self",
      "Set.mem_sInter",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_union",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.not_nonempty_iff_eq_empty",
      "Set.pairwise_singleton",
      "Set.pi",
      "Set.preimage",
      "Set.preimage_empty",
      "Set.preimage_union",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sInter",
      "Set.sInter_subset_of_mem",
      "Set.sUnion",
      "Set.singleton_nonempty",
      "Set.singleton_subset_iff",
      "Set.subset_sUnion_of_mem",
      "Set.subset_union_left",
      "Set.subset_union_right",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.union_subset",
      "Set.univ",
      "SetLike",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.ext",
      "SetLike.instMembership",
      "SetLike.le_def",
      "SetLike.mem_coe",
      "SetRel.comp",
      "Setoid",
      "Setoid.iseqv",
      "Setoid.mk",
      "Setoid.r",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.mk",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv",
      "StarAlgEquiv.instEquivLike",
      "StarAlgEquiv.instFunLike",
      "StarAlgEquiv.instNonUnitalAlgEquivClass",
      "StarAlgEquiv.mk",
      "StarAlgEquiv.symm",
      "StarAlgEquiv.symm_apply_apply",
      "StarAlgEquiv.toNonUnitalStarAlgHom",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgEquiv.toStarRingEquiv",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.instStarRing",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingEquiv.mk",
      "StarRingEquiv.toRingEquiv",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "Sub.mk",
      "SubNegMonoid.mk",
      "SubNegMonoid.sub_eq_add_neg._autoParam",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegMonoid.zsmul_neg'._autoParam",
      "SubNegMonoid.zsmul_succ'._autoParam",
      "SubNegMonoid.zsmul_zero'._autoParam",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.Quotient.addCommGroup._aux_1",
      "Submodule.Quotient.addCommGroup._aux_3",
      "Submodule.Quotient.addCommGroup._aux_6",
      "Submodule.Quotient.addCommGroup._proof_10",
      "Submodule.Quotient.addCommGroup._proof_11",
      "Submodule.Quotient.addCommGroup._proof_12",
      "Submodule.Quotient.addCommGroup._proof_5",
      "Submodule.Quotient.addCommGroup._proof_8",
      "Submodule.Quotient.addCommGroup._proof_9",
      "Submodule.Quotient.addCommMonoid",
      "Submodule.Quotient.addMonoid._aux_1",
      "Submodule.Quotient.addMonoid._aux_6",
      "Submodule.Quotient.addMonoid._proof_3",
      "Submodule.Quotient.addMonoid._proof_4",
      "Submodule.Quotient.addMonoid._proof_5",
      "Submodule.Quotient.addMonoid._proof_8",
      "Submodule.Quotient.addMonoid._proof_9",
      "Submodule.Quotient.completeSpace",
      "Submodule.Quotient.distribMulAction'._proof_1",
      "Submodule.Quotient.distribMulAction'._proof_2",
      "Submodule.Quotient.eq",
      "Submodule.Quotient.instSMul'._proof_2",
      "Submodule.Quotient.instZeroQuotient",
      "Submodule.Quotient.mk",
      "Submodule.Quotient.mk_eq_zero",
      "Submodule.Quotient.module",
      "Submodule.Quotient.module'._proof_3",
      "Submodule.Quotient.module'._proof_4",
      "Submodule.Quotient.mulAction'._proof_1",
      "Submodule.Quotient.mulAction'._proof_2",
      "Submodule.Quotient.norm_mk_le",
      "Submodule.Quotient.norm_mk_lt",
      "Submodule.Quotient.normedAddCommGroup._proof_1",
      "Submodule.Quotient.normedAddCommGroup._proof_2",
      "Submodule.Quotient.normedSpace",
      "Submodule.Quotient.normedSpace._proof_1",
      "Submodule.Quotient.seminormedAddCommGroup",
      "Submodule.Quotient.seminormedAddCommGroup._aux_1",
      "Submodule.Quotient.seminormedAddCommGroup._aux_11",
      "Submodule.Quotient.seminormedAddCommGroup._aux_17",
      "Submodule.Quotient.seminormedAddCommGroup._aux_3",
      "Submodule.Quotient.seminormedAddCommGroup._aux_8",
      "Submodule.Quotient.seminormedAddCommGroup._proof_10",
      "Submodule.Quotient.seminormedAddCommGroup._proof_13",
      "Submodule.Quotient.seminormedAddCommGroup._proof_14",
      "Submodule.Quotient.seminormedAddCommGroup._proof_15",
      "Submodule.Quotient.seminormedAddCommGroup._proof_16",
      "Submodule.Quotient.seminormedAddCommGroup._proof_19",
      "Submodule.Quotient.seminormedAddCommGroup._proof_20",
      "Submodule.Quotient.seminormedAddCommGroup._proof_5",
      "Submodule.Quotient.seminormedAddCommGroup._proof_6",
      "Submodule.Quotient.seminormedAddCommGroup._proof_7",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.addSubgroupClass",
      "Submodule.addSubmonoidClass",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_bot_iff",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.exists_le_ker_of_notMem",
      "Submodule.ext",
      "Submodule.finiteDimensional_of_le",
      "Submodule.finiteDimensional_sup",
      "Submodule.hasQuotient",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instInfSet",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.liftQ",
      "Submodule.liftQL",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_iInf",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_pair",
      "Submodule.mem_span_range_iff_exists_fun",
      "Submodule.mem_span_singleton",
      "Submodule.mem_span_singleton_self",
      "Submodule.mem_sup",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.mkQ",
      "Submodule.mkQL",
      "Submodule.mkQ_surjective",
      "Submodule.mk_mem_projectivization_iff",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.projectivization",
      "Submodule.quotientRel",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_eq_iSup_of_singleton_spans",
      "Submodule.span_le",
      "Submodule.span_singleton_le_iff_mem",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_minimal",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_mem",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "Submodule.subtypeL",
      "Submodule.sum_mem",
      "Submodule.topEquiv",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submodule.zero_mem",
      "SubmoduleClass.module",
      "SubmoduleClass.toNormedSpace",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.forall",
      "Subtype.instDecidableEq",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.range_coe_subtype",
      "Subtype.val",
      "Subtype.val_injective",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.mul_right",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "Superset",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.mk",
      "TopologicalSpace.ofClosed",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Topology.IsInducing",
      "Topology.IsInducing.closure_eq_preimage_closure_image",
      "Topology.IsInducing.piMap",
      "TotallyBounded",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "TwoSidedIdeal",
      "TwoSidedIdeal.coe_top",
      "TwoSidedIdeal.ext",
      "TwoSidedIdeal.instInfSet",
      "TwoSidedIdeal.instPartialOrder",
      "TwoSidedIdeal.instSemilatticeInf",
      "TwoSidedIdeal.instTop",
      "TwoSidedIdeal.ker",
      "TwoSidedIdeal.mem_iInf",
      "TwoSidedIdeal.mem_inf",
      "TwoSidedIdeal.mem_ker",
      "TwoSidedIdeal.mem_top",
      "TwoSidedIdeal.mul_mem_left",
      "TwoSidedIdeal.mul_mem_right",
      "TwoSidedIdeal.ringCon",
      "TwoSidedIdeal.setLike",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.mk",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAddGroup",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instCompleteSpace",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarAddMonoid",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "Units",
      "Units.instMonoid",
      "Units.instMulAction",
      "Units.instOne",
      "Units.instSMul",
      "Units.mk0",
      "Units.val",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "WithLp.instModule",
      "WithLp.ofLp",
      "Zero",
      "Zero.mk",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.coe_eq_zero._simp_1",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_assoc",
      "add_comm",
      "add_le_add",
      "add_left_cancel",
      "add_left_comm",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_neg_cancel_comm_assoc",
      "add_nonneg",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_cancel",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_inj._simp_1",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "algebraMap.coe_zero",
      "and_congr",
      "and_congr_right",
      "and_self",
      "autoParam",
      "binderNameHint",
      "bot_le",
      "cast",
      "cfc",
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      "cfc_id",
      "cfc_id'",
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      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_add",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "cfcₙ_zero",
      "ciInf_le",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_minimal",
      "closure_singleton",
      "commRing_strongRankCondition",
      "commute_iff_eq",
      "compactOperator",
      "compl_compl",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_apply",
      "continuous_const",
      "continuous_finset_sum",
      "continuous_id",
      "continuous_id'",
      "continuous_iff_isClosed",
      "continuous_norm",
      "continuous_pi",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "convex_singleton",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_nonneg",
      "dist_self",
      "dist_zero_right",
      "dite",
      "dite_cond_eq_false",
      "dite_cond_eq_true",
      "div_eq_mul_inv",
      "div_le_iff₀",
      "div_le_one",
      "div_lt_iff₀",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_pow",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_sub_iff_add_eq",
      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_nat_gt",
      "exists_ne",
      "exists_pair_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "forall_const",
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      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_lt_self",
      "half_lt_self_iff._simp_1",
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      "hasSum_fintype",
      "heq_of_eq",
      "iInf",
      "iSup",
      "iSupIndep",
      "iSupIndep_map_orderIso_iff",
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      "iSup_image",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
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      "inf_le_right",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_eq_zero_symm",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_eq_zero",
      "inner_self_ne_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_sum",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqProd",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDecidableOr",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instDistribSMul",
      "instFaithfulSMul_1",
      "instFintypeOption",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasEquivOfSetoid",
      "instHasSolidNormReal",
      "instHasSummableGeomSeries",
      "instInhabitedNat",
      "instInhabitedPUnit",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsConcreteLE",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsEmptyFalse",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsSimpleModule",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulActionNatOfAddMonoid",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNatCastInt",
      "instNeZeroNatHAdd_1",
      "instNonUnitalAlgHomClassOfNonUnitalAlgEquivClass",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instNonemptyProd",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT2SpaceSubtype",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransIff",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "inv_smul_smul₀",
      "isClosed_biInter",
      "isClosed_closure",
      "isClosed_eq",
      "isClosed_setOf_isCompactOperator",
      "isClosed_univ",
      "isCompactOperator_of_locallyCompactSpace_dom",
      "isCompactOperator_zero",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isOpen_pi_iff",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_max_right",
      "le_min",
      "le_of_eq",
      "le_of_forall_pos_le_add",
      "le_of_le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "le_top",
      "locallyCompact_of_proper",
      "lowerBounds",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_div_iff₀",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_lt",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_lt_of_le",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "lt_trans",
      "map_add",
      "map_div₀",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_natCast",
      "map_neg",
      "map_one",
      "map_pow",
      "map_ratCast",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_closure_iff",
      "mem_extremePoints_iff_left",
      "min_eq_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mt",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_le_of_le_one_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_right_cancel₀",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_add_eq_zero",
      "neg_add_rev",
      "neg_apply",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_one_smul",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_div",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_exists",
      "not_false",
      "not_false_eq_true",
      "not_le_of_gt",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_or",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_false",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "openSegment_symm",
      "optParam",
      "or_comm",
      "or_self",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "rank_le_one_iff",
      "rank_submodule_le_one_iff'",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_ne_zero",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingAut",
      "starRingEnd",
      "star_div₀",
      "star_eq_zero",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_sum",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "subset_closure",
      "subsingleton_or_nontrivial",
      "sum_apply",
      "sum_inner",
      "sum_mem",
      "summable_geometric_of_norm_lt_one",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_le",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_iff_dist_tendsto_zero",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_ite_eq",
      "tsum_star",
      "two_mul",
      "two_smul",
      "uniformity",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_range_eq_compact_iff_component_compact_homeomorph": [
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      "AddCancelCommMonoid.toAddLeftCancelMonoid",
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.mk",
      "AddCommGroup.toAddCancelCommMonoid",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.mk",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelMonoid.toAddLeftCancelSemigroup",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.mk",
      "AddMonoid.nsmul_succ._autoParam",
      "AddMonoid.nsmul_zero._autoParam",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instAddMonoidHomClass",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.isometry_of_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup",
      "AddSemigroup.mk",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.sub",
      "AddSubgroupClass.toAddGroup._proof_6",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.coe_finsetSum",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Antitone",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bornology.cobounded",
      "Bornology.mk",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "BoundedOrder.toOrderTop",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.instNonnegSpectrumClass'",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "Cardinal",
      "Cardinal.aleph0",
      "Cardinal.commSemiring",
      "Cardinal.instLE",
      "Cardinal.instNatCast",
      "Cardinal.instOne",
      "Cardinal.isOrderedRing",
      "Cardinal.lift",
      "Cardinal.lift_mk_le'",
      "Cardinal.lift_ofNat",
      "Cardinal.lift_uzero",
      "Cardinal.linearOrder",
      "Cardinal.mk",
      "Cardinal.mk_fintype",
      "Cardinal.natCast_lt_aleph0",
      "Cardinal.partialOrder",
      "Cardinal.two_le_iff_one_lt",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choice",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_forall",
      "Classical.not_imp._simp_2",
      "Classical.not_not",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.closure_top",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.isClosed_iff",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toCommMonoid",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "Compl.compl",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toBoundedOrder",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toCompleteSemilatticeSup",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteLattice.toLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSemilatticeSup.toSupSet",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.exists_norm_eq_mul_self",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instCompleteSpace",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRatCast",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_I",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_add_im",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "Con.toSetoid",
      "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
      "ConditionallyCompleteLattice.toLattice",
      "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice",
      "ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup",
      "ConditionallyCompletePartialOrderSup.toPartialOrder",
      "ConditionallyCompletePartialOrderSup.toSupSet",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.norm",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv",
      "ContinuousLinearEquiv.continuousSemilinearEquivClass",
      "ContinuousLinearEquiv.equivLike",
      "ContinuousLinearEquiv.injective",
      "ContinuousLinearEquiv.mk",
      "ContinuousLinearEquiv.symm",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearEquiv.toLinearEquiv",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.codRestrict",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.map_tsum",
      "ContinuousLinearMap.map_zero",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.opNorm_zero",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.sum_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.toSpanSingleton",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousLinearMapWOT",
      "ContinuousLinearMapWOT.continuous_dual_apply",
      "ContinuousLinearMapWOT.inducingFn",
      "ContinuousLinearMapWOT.instAddCommGroup",
      "ContinuousLinearMapWOT.instFunLike",
      "ContinuousLinearMapWOT.instModule",
      "ContinuousLinearMapWOT.instTopologicalSpace",
      "ContinuousLinearMapWOT.isInducing_inducingFn",
      "ContinuousLinearMapWOT.ofCLM",
      "ContinuousLinearMapWOT.toCLM",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.mul",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearEquivClass.continuousSemilinearMapClass",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.equalizer",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Directed",
      "Disjoint",
      "Dist.dist",
      "Dist.mk",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.mk",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.isSimpleRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRatCast",
      "DivisionRing.toRing",
      "DivisionSemiring.isPrincipalIdealRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "ENNReal.ofReal",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.subset",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Eq.trans_ne",
      "Equiv",
      "Equiv.Perm.star",
      "Equiv.apply_symm_apply",
      "Equiv.ext",
      "Equiv.injective",
      "Equiv.instEquivLike",
      "Equiv.invFun",
      "Equiv.left_inv",
      "Equiv.mk",
      "Equiv.ofBijective",
      "Equiv.prodComm",
      "Equiv.refl",
      "Equiv.right_inv",
      "Equiv.surjective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "Equiv.symm_image_image",
      "Equiv.toFun",
      "Equiv.trans",
      "EquivLike.toFunLike",
      "Equivalence",
      "Equivalence.mk",
      "Equivalence.refl",
      "Equivalence.symm",
      "Equivalence.trans",
      "EuclideanDomain.toNontrivial",
      "EuclideanDomain.to_principal_ideal_domain",
      "EuclideanSpace",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.instIsLocalRing",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toEuclideanDomain",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.cofinite",
      "Filter.comap",
      "Filter.instInfSet",
      "Filter.instPartialOrder",
      "Filter.lift'",
      "Filter.mp_mem",
      "Filter.principal",
      "Filter.sets",
      "Filter.univ_mem'",
      "Fin",
      "Fin.ext_iff",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.isLt",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.complete",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.proper_real",
      "FiniteDimensional.rclike_to_real",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.Subtype.fintype",
      "Finset.card",
      "Finset.card_singleton",
      "Finset.decidableMem",
      "Finset.induction_on",
      "Finset.instEmptyCollection",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.instSingleton",
      "Finset.mem_insert",
      "Finset.mem_insert_of_mem",
      "Finset.mem_insert_self",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.notMem_empty._simp_1",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.smul_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_comm",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_eq_zero",
      "Finset.sum_ite_eq",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.sum_smul",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Finset.univ_unique",
      "Finsupp",
      "Finsupp.ext",
      "Finsupp.instAdd",
      "Finsupp.instAddCommGroup",
      "Finsupp.instAddCommMonoid",
      "Finsupp.instFunLike",
      "Finsupp.instSub",
      "Finsupp.instZero",
      "Finsupp.linearCombination",
      "Finsupp.mapRange",
      "Finsupp.mapRange.congr_simp",
      "Finsupp.mapRange_mapRange",
      "Finsupp.mapRange_mapRange._proof_1",
      "Finsupp.mem_support_iff",
      "Finsupp.module",
      "Finsupp.single",
      "Finsupp.single_eq_of_ne",
      "Finsupp.single_eq_same",
      "Finsupp.single_sub",
      "Finsupp.smulZeroClass",
      "Finsupp.smul_single",
      "Finsupp.support",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "Fintype.sum_option",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Bijective",
      "Function.Embedding",
      "Function.Embedding.injective",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.Injective.ne",
      "Function.Involutive",
      "Function.LeftInverse",
      "Function.RightInverse",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "Function.hasSMul",
      "Function.instFunLikeEmbedding",
      "Function.update",
      "Function.update_of_ne",
      "Function.update_self",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasEquiv.Equiv",
      "HasQuotient.Quotient",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.antisymm",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Homeomorph",
      "Homeomorph.mk",
      "Homeomorph.toEquiv",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.of_eq",
      "Iff.rfl",
      "Iff.symm",
      "Iff.trans",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rankOne_comp_rankOne",
      "InnerProductSpace.rankOne_def'",
      "InnerProductSpace.rankOne_ne_zero",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toDual",
      "InnerProductSpace.toDual_symm_apply",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.add_one_le_of_lt",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instLEInt",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.instSub",
      "Int.mul",
      "Int.natCast_add",
      "Int.natCast_nonneg",
      "Int.negOfNat",
      "Int.negSucc",
      "Int.ofNat",
      "Int.rawCast",
      "Int.sub_nonneg_of_le",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsCancelMulZero.toIsRightCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.completeSpace_coe",
      "IsClosed.inter",
      "IsClosed.isOpen_compl",
      "IsClosed.mem_of_tendsto",
      "IsClosed.mk",
      "IsClosed.preimage",
      "IsCoatom",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.inter_right",
      "IsCompact.nonempty_iInter_of_directed_nonempty_isCompact_isClosed",
      "IsCompact.of_isClosed_subset",
      "IsCompact.totallyBounded",
      "IsCompactOperator",
      "IsCompactOperator.add",
      "IsCompactOperator.clm_comp",
      "IsCompactOperator.comp_clm",
      "IsCompactOperator.image_closedBall_subset_compact",
      "IsCompactOperator.smul",
      "IsConcreteLE",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsEmpty.forall_iff._simp_1",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsLocalRing.toNontrivial",
      "IsModuleTopology.toContinuousSMul",
      "IsNoetherianRing.strongRankCondition",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.cfcₙ",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsSimpleRing.instNontrivial",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsTopologicalSemiring.toIsModuleTopology",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_eq",
      "LE.le.trans_lt",
      "LE.mk",
      "LT.lt",
      "LT.lt.false",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "LT.mk",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Lean.Omega.Coeffs.ofList",
      "Lean.Omega.Constraint.addInequality_sat",
      "Lean.Omega.Constraint.combine_sat'",
      "Lean.Omega.Constraint.isImpossible",
      "Lean.Omega.Constraint.mk",
      "Lean.Omega.Constraint.not_sat'_of_isImpossible",
      "Lean.Omega.Int.add_congr",
      "Lean.Omega.Int.ofNat_le_of_le",
      "Lean.Omega.Int.ofNat_lt_of_lt",
      "Lean.Omega.Int.sub_congr",
      "Lean.Omega.LinearCombo",
      "Lean.Omega.LinearCombo.add_eval",
      "Lean.Omega.LinearCombo.coordinate",
      "Lean.Omega.LinearCombo.coordinate_eval_0",
      "Lean.Omega.LinearCombo.coordinate_eval_1",
      "Lean.Omega.LinearCombo.coordinate_eval_2",
      "Lean.Omega.LinearCombo.eval",
      "Lean.Omega.LinearCombo.instAdd",
      "Lean.Omega.LinearCombo.instSub",
      "Lean.Omega.LinearCombo.mk",
      "Lean.Omega.LinearCombo.sub_eval",
      "Lean.Omega.combo_sat'",
      "Lean.Omega.tidy_sat",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.apply_symm_apply",
      "LinearEquiv.continuous_symm",
      "LinearEquiv.injective",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.instSemilinearEquivClass",
      "LinearEquiv.map_add",
      "LinearEquiv.map_smulₛₗ",
      "LinearEquiv.mk",
      "LinearEquiv.refl",
      "LinearEquiv.surjective",
      "LinearEquiv.symm",
      "LinearEquiv.symm_apply_apply",
      "LinearEquiv.toContinuousLinearEquivOfContinuous",
      "LinearEquiv.toLinearMap",
      "LinearIndependent",
      "LinearIndependent.eq_of_pair",
      "LinearIndependent.pair_iff'",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometry.isometry",
      "LinearIsometry.toLinearMap",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.mk",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.refl",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.trans",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.coe_sum",
      "LinearMap.comp",
      "LinearMap.congr_fun",
      "LinearMap.continuous_iff_isClosed_ker",
      "LinearMap.continuous_of_seq_closed_graph",
      "LinearMap.exists_extend",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.finiteDimensional_range",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.isCoatom_ker_of_surjective",
      "LinearMap.isometryOfInner",
      "LinearMap.ker",
      "LinearMap.ker_pi",
      "LinearMap.ker_zero",
      "LinearMap.map_smulₛₗ",
      "LinearMap.mem_ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.pi",
      "LinearMap.quotKerEquivRange",
      "LinearMap.quotKerEquivRange_symm_apply_image",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.sum_apply",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toDecidableLT",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "LinearOrderedSemiField.toDenselyOrdered",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_eq_false",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_eq_true",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.natCast_nonneg",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Push.not_forall_eq",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.atom_pf'",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Matrix.cons_val_fin_one",
      "Matrix.of",
      "Matrix.vecCons",
      "Matrix.vecEmpty",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.continuous_iff",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.isOpen_iff",
      "Metric.mem_ball",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "Metric.totallyBounded_iff",
      "MetricSpace",
      "MetricSpace.mk",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.Basis",
      "Module.Basis.coord",
      "Module.Basis.instFunLike",
      "Module.Basis.linearIndependent",
      "Module.Basis.mem_span_image",
      "Module.Basis.mk",
      "Module.Basis.mk_apply",
      "Module.Basis.ne_zero",
      "Module.Basis.repr",
      "Module.Basis.repr_linearCombination",
      "Module.Basis.repr_self",
      "Module.Basis.repr_symm_apply",
      "Module.Basis.span_eq",
      "Module.Basis.unitsSMul",
      "Module.Basis.unitsSMul_apply",
      "Module.Finite",
      "Module.Finite.of_basis",
      "Module.Finite.of_surjective",
      "Module.Finite.top",
      "Module.Free.ChooseBasisIndex",
      "Module.Free.chooseBasis",
      "Module.Free.of_divisionRing",
      "Module.Free.rank_eq_card_chooseBasisIndex",
      "Module.complexToReal",
      "Module.finBasis",
      "Module.finrank",
      "Module.finrank_eq_card_basis",
      "Module.mk",
      "Module.rank",
      "Module.rank_lt_aleph0_iff",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "Mul.mk",
      "MulAction",
      "MulAction.mk",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionSemiHomClass.map_smulₛₗ",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.below",
      "Nat.ble",
      "Nat.brecOn",
      "Nat.casesOn",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_add._simp_1",
      "Nat.cast_inj._simp_1",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.decLt",
      "Nat.decidableBallLT",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instLinearOrder",
      "Nat.instMax",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_induction",
      "Nat.le_of_lt",
      "Nat.le_of_not_lt",
      "Nat.le_refl",
      "Nat.lt_or_gt_of_ne",
      "Nat.lt_succ_self",
      "Nat.mul",
      "Nat.ofNat_pos._simp_1",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.mk",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.norm_quasispectrum_le",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing",
      "NonUnitalNonAssocRing.left_distrib",
      "NonUnitalNonAssocRing.mk",
      "NonUnitalNonAssocRing.mul_zero",
      "NonUnitalNonAssocRing.right_distrib",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toMul",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.zero_mul",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.mk",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing",
      "NonUnitalRing.mk",
      "NonUnitalRing.mul_assoc",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.codRestrict",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mem_range",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.range",
      "NonUnitalStarAlgHom.rangeRestrict",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarAlgebra.instCompleteLatticeNonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.ext",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instPartialOrder",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.mk",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring._proof_1",
      "NonUnitalStarSubalgebra.toNonUnitalSubalgebra",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebra.mk",
      "NonUnitalSubalgebra.toSubmodule",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiring.mk",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.toAddSubmonoidClass",
      "NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring",
      "Nonempty",
      "Nonempty.casesOn",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "NonnegSpectrumClass.quasispectrum_nonneg_of_nonneg",
      "Nontrivial",
      "Nontrivial.mk",
      "Nontrivial.to_nonempty",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.mk",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.dist_eq",
      "NormedAddCommGroup.dist_eq._autoParam",
      "NormedAddCommGroup.mk",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.mk",
      "NormedSpace.norm_normalize",
      "NormedSpace.normalize",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Option",
      "Option.elim'",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Or.resolve_right",
      "Order.Frame.toHeytingAlgebra",
      "Order.IsIdeal.Directed",
      "Order.IsIdeal.IsLowerSet",
      "Order.IsIdeal.Nonempty",
      "Order.IsPFilter",
      "Order.IsPFilter.of_def",
      "OrderBot.toBot",
      "OrderDual",
      "OrderDual.instLE",
      "OrderDual.ofDual",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderIso.apply_symm_apply",
      "OrderIso.injective",
      "OrderIso.map_iSup",
      "OrderIso.map_sup",
      "OrderIso.map_top",
      "OrderIso.monotone",
      "OrderIso.symm",
      "OrderIso.symm_apply_apply",
      "OrderIso.trans",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.repr",
      "OrthonormalBasis.repr_apply_apply",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "OrthonormalBasis.sum_repr",
      "OrthonormalBasis.sum_repr'",
      "PUnit.fintype",
      "PUnit.instUnique",
      "PUnit.unit",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.Function.module",
      "Pi.addCommGroup",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instSMul",
      "Pi.instSub",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_apply",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "Pi.topologicalSpace",
      "PiLp.innerProductSpace._proof_1",
      "PiLp.seminormedAddCommGroup",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder",
      "Preorder.mk",
      "Preorder.toLE",
      "Preorder.toLT",
      "PrincipalIdealRing.isNoetherianRing",
      "Prod",
      "Prod.algebra",
      "Prod.casesOn",
      "Prod.ext",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.swap",
      "Prod.swap_swap",
      "Prod.toNorm",
      "Projectivization",
      "Projectivization.Independent",
      "Projectivization.Independent.mk",
      "Projectivization.Subspace",
      "Projectivization.Subspace.instCompleteLattice",
      "Projectivization.Subspace.instPartialOrder",
      "Projectivization.Subspace.instSetLike",
      "Projectivization.Subspace.mem_add",
      "Projectivization.Subspace.mem_submodule_iff",
      "Projectivization.Subspace.mk",
      "Projectivization.Subspace.span",
      "Projectivization.Subspace.spanCarrier",
      "Projectivization.Subspace.spanCarrier.rec",
      "Projectivization.Subspace.span_coe",
      "Projectivization.Subspace.span_le_span",
      "Projectivization.Subspace.span_le_subspace_iff",
      "Projectivization.Subspace.submodule",
      "Projectivization.Subspace.subset_span",
      "Projectivization.independent_iff",
      "Projectivization.independent_iff_iSupIndep",
      "Projectivization.instNonemptyOfNontrivial",
      "Projectivization.mk",
      "Projectivization.mk.congr_simp",
      "Projectivization.mk_eq_mk_iff'",
      "Projectivization.mk_rep",
      "Projectivization.rep",
      "Projectivization.rep_nonzero",
      "Projectivization.submodule",
      "Projectivization.submodule_eq",
      "Projectivization.submodule_injective",
      "Projectivization.submodule_mk",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.cobounded_sets._autoParam",
      "PseudoMetricSpace.edist_dist._autoParam",
      "PseudoMetricSpace.mk",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "PseudoMetricSpace.uniformity_dist._autoParam",
      "Quotient",
      "Quotient.eq",
      "Quotient.inductionOn",
      "Quotient.inductionOn₂",
      "Quotient.lift",
      "Quotient.map'",
      "Quotient.mk",
      "Quotient.mk'",
      "Quotient.mk''",
      "Quotient.sound",
      "QuotientModule.Quotient.topologicalSpace",
      "QuotientModule.Quotient.topologicalSpace._proof_1",
      "QuotientModule.Quotient.topologicalSpace._proof_2",
      "QuotientModule.Quotient.topologicalSpace._proof_3",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instCStarRing",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_natCast",
      "RCLike.norm_ofReal",
      "RCLike.norm_sq_eq_def",
      "RCLike.ofReal",
      "RCLike.one_im",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toCompleteSpace",
      "RCLike.toDecidableEq",
      "RCLike.toDenselyNormedField",
      "RCLike.toInnerProductSpaceReal",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.cast",
      "Rat.cast_zero",
      "Rat.commSemiring",
      "Rat.denseRange_cast",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.instOfNat",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instConditionallyCompleteLinearOrder",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInfSet",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.norm_ofNat",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Real.sqrt_sq",
      "RelIso.mk",
      "RelIso.toEquiv",
      "Relation.EqvGen",
      "Relation.EqvGen.rec",
      "Relation.EqvGen.rel",
      "Relation.EqvGen.setoid",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingCon.toCon",
      "RingEquiv",
      "RingEquiv.apply_symm_apply",
      "RingEquiv.ext",
      "RingEquiv.injective",
      "RingEquiv.instEquivLike",
      "RingEquiv.instRingEquivClass",
      "RingEquiv.map_mul",
      "RingEquiv.map_zero",
      "RingEquiv.mk",
      "RingEquiv.refl",
      "RingEquiv.surjective",
      "RingEquiv.symm",
      "RingEquiv.symm_apply_apply",
      "RingEquiv.toEquiv",
      "RingEquiv.toRingHom",
      "RingEquivClass.toNonUnitalRingHomClass",
      "RingEquivClass.toRingHomClass",
      "RingHom",
      "RingHom.ext",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toLinearMapClassNNRat",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomClass.toRingHom",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomCompTriple.right_ids",
      "RingHomInvPair",
      "RingHomInvPair.comp_apply_eq",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.of_ringEquiv",
      "RingHomInvPair.of_ringEquiv_symm",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomIsometric.starRingEnd",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMul.mk",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulCommClass.smul_comm",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulMemClass.smul_mem",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "SProd.sprod",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mk",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearEquivClass.instSemilinearMapClass",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Finite",
      "Set.Finite.fintype",
      "Set.Finite.image",
      "Set.Finite.insert",
      "Set.Finite.union",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Nonempty.to_subtype",
      "Set.Pairwise",
      "Set.Subset.antisymm",
      "Set.Subset.rfl",
      "Set.Subset.trans",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.empty_subset",
      "Set.eq_empty_iff_forall_notMem",
      "Set.eq_univ_iff_forall",
      "Set.ext",
      "Set.ext_iff",
      "Set.extremePoints",
      "Set.finite_range",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.iUnion",
      "Set.image",
      "Set.image_congr",
      "Set.image_empty",
      "Set.image_id",
      "Set.image_image",
      "Set.image_mono",
      "Set.image_pair",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.image_union",
      "Set.instAntisymmSubset",
      "Set.instBooleanAlgebra",
      "Set.instBoundedOrder",
      "Set.instCompl",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instOrderTop",
      "Set.instReflSubset",
      "Set.instSProd",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_compl_iff",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_iUnion₂",
      "Set.mem_image",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_range_self",
      "Set.mem_sInter",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_union",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.not_nonempty_iff_eq_empty",
      "Set.pairwise_singleton",
      "Set.pi",
      "Set.preimage",
      "Set.preimage_empty",
      "Set.preimage_union",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sInter",
      "Set.sInter_subset_of_mem",
      "Set.sUnion",
      "Set.singleton_nonempty",
      "Set.singleton_subset_iff",
      "Set.subset_sUnion_of_mem",
      "Set.subset_union_left",
      "Set.subset_union_right",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.union_subset",
      "Set.univ",
      "SetLike",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.ext",
      "SetLike.instMembership",
      "SetLike.le_def",
      "SetLike.mem_coe",
      "SetRel.comp",
      "Setoid",
      "Setoid.iseqv",
      "Setoid.mk",
      "Setoid.r",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.mk",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv",
      "StarAlgEquiv.instEquivLike",
      "StarAlgEquiv.instFunLike",
      "StarAlgEquiv.instNonUnitalAlgEquivClass",
      "StarAlgEquiv.mk",
      "StarAlgEquiv.symm",
      "StarAlgEquiv.symm_apply_apply",
      "StarAlgEquiv.toNonUnitalStarAlgHom",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgEquiv.toStarRingEquiv",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.instStarRing",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingEquiv.mk",
      "StarRingEquiv.toRingEquiv",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "Sub.mk",
      "SubNegMonoid.mk",
      "SubNegMonoid.sub_eq_add_neg._autoParam",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegMonoid.zsmul_neg'._autoParam",
      "SubNegMonoid.zsmul_succ'._autoParam",
      "SubNegMonoid.zsmul_zero'._autoParam",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.Quotient.addCommGroup._aux_1",
      "Submodule.Quotient.addCommGroup._aux_3",
      "Submodule.Quotient.addCommGroup._aux_6",
      "Submodule.Quotient.addCommGroup._proof_10",
      "Submodule.Quotient.addCommGroup._proof_11",
      "Submodule.Quotient.addCommGroup._proof_12",
      "Submodule.Quotient.addCommGroup._proof_5",
      "Submodule.Quotient.addCommGroup._proof_8",
      "Submodule.Quotient.addCommGroup._proof_9",
      "Submodule.Quotient.addCommMonoid",
      "Submodule.Quotient.addMonoid._aux_1",
      "Submodule.Quotient.addMonoid._aux_6",
      "Submodule.Quotient.addMonoid._proof_3",
      "Submodule.Quotient.addMonoid._proof_4",
      "Submodule.Quotient.addMonoid._proof_5",
      "Submodule.Quotient.addMonoid._proof_8",
      "Submodule.Quotient.addMonoid._proof_9",
      "Submodule.Quotient.completeSpace",
      "Submodule.Quotient.distribMulAction'._proof_1",
      "Submodule.Quotient.distribMulAction'._proof_2",
      "Submodule.Quotient.eq",
      "Submodule.Quotient.instSMul'._proof_2",
      "Submodule.Quotient.instZeroQuotient",
      "Submodule.Quotient.mk",
      "Submodule.Quotient.mk_eq_zero",
      "Submodule.Quotient.module",
      "Submodule.Quotient.module'._proof_3",
      "Submodule.Quotient.module'._proof_4",
      "Submodule.Quotient.mulAction'._proof_1",
      "Submodule.Quotient.mulAction'._proof_2",
      "Submodule.Quotient.norm_mk_le",
      "Submodule.Quotient.norm_mk_lt",
      "Submodule.Quotient.normedAddCommGroup._proof_1",
      "Submodule.Quotient.normedAddCommGroup._proof_2",
      "Submodule.Quotient.normedSpace",
      "Submodule.Quotient.normedSpace._proof_1",
      "Submodule.Quotient.seminormedAddCommGroup",
      "Submodule.Quotient.seminormedAddCommGroup._aux_1",
      "Submodule.Quotient.seminormedAddCommGroup._aux_11",
      "Submodule.Quotient.seminormedAddCommGroup._aux_17",
      "Submodule.Quotient.seminormedAddCommGroup._aux_3",
      "Submodule.Quotient.seminormedAddCommGroup._aux_8",
      "Submodule.Quotient.seminormedAddCommGroup._proof_10",
      "Submodule.Quotient.seminormedAddCommGroup._proof_13",
      "Submodule.Quotient.seminormedAddCommGroup._proof_14",
      "Submodule.Quotient.seminormedAddCommGroup._proof_15",
      "Submodule.Quotient.seminormedAddCommGroup._proof_16",
      "Submodule.Quotient.seminormedAddCommGroup._proof_19",
      "Submodule.Quotient.seminormedAddCommGroup._proof_20",
      "Submodule.Quotient.seminormedAddCommGroup._proof_5",
      "Submodule.Quotient.seminormedAddCommGroup._proof_6",
      "Submodule.Quotient.seminormedAddCommGroup._proof_7",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.addSubgroupClass",
      "Submodule.addSubmonoidClass",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_bot_iff",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.exists_le_ker_of_notMem",
      "Submodule.ext",
      "Submodule.finiteDimensional_of_le",
      "Submodule.finiteDimensional_sup",
      "Submodule.hasQuotient",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instInfSet",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.liftQ",
      "Submodule.liftQL",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_iInf",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_pair",
      "Submodule.mem_span_range_iff_exists_fun",
      "Submodule.mem_span_singleton",
      "Submodule.mem_span_singleton_self",
      "Submodule.mem_sup",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.mkQ",
      "Submodule.mkQL",
      "Submodule.mkQ_surjective",
      "Submodule.mk_mem_projectivization_iff",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.projectivization",
      "Submodule.quotientRel",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_eq_iSup_of_singleton_spans",
      "Submodule.span_le",
      "Submodule.span_singleton_le_iff_mem",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_minimal",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_mem",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "Submodule.subtypeL",
      "Submodule.sum_mem",
      "Submodule.topEquiv",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submodule.zero_mem",
      "SubmoduleClass.module",
      "SubmoduleClass.toNormedSpace",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.forall",
      "Subtype.instDecidableEq",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.range_coe_subtype",
      "Subtype.val",
      "Subtype.val_injective",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.mul_right",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "Superset",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.mk",
      "TopologicalSpace.ofClosed",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Topology.IsInducing",
      "Topology.IsInducing.closure_eq_preimage_closure_image",
      "Topology.IsInducing.piMap",
      "TotallyBounded",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "TwoSidedIdeal",
      "TwoSidedIdeal.coe_top",
      "TwoSidedIdeal.ext",
      "TwoSidedIdeal.instInfSet",
      "TwoSidedIdeal.instPartialOrder",
      "TwoSidedIdeal.instSemilatticeInf",
      "TwoSidedIdeal.instTop",
      "TwoSidedIdeal.ker",
      "TwoSidedIdeal.mem_iInf",
      "TwoSidedIdeal.mem_inf",
      "TwoSidedIdeal.mem_ker",
      "TwoSidedIdeal.mem_top",
      "TwoSidedIdeal.mul_mem_left",
      "TwoSidedIdeal.mul_mem_right",
      "TwoSidedIdeal.ringCon",
      "TwoSidedIdeal.setLike",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.mk",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAddGroup",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instCompleteSpace",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarAddMonoid",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "Units",
      "Units.instMonoid",
      "Units.instMulAction",
      "Units.instOne",
      "Units.instSMul",
      "Units.mk0",
      "Units.val",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "WithLp.instModule",
      "WithLp.ofLp",
      "Zero",
      "Zero.mk",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.coe_eq_zero._simp_1",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_assoc",
      "add_comm",
      "add_le_add",
      "add_left_cancel",
      "add_left_comm",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_neg_cancel_comm_assoc",
      "add_nonneg",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_cancel",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_inj._simp_1",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "algebraMap.coe_zero",
      "and_congr",
      "and_congr_right",
      "and_self",
      "autoParam",
      "binderNameHint",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_add",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "cfcₙ_zero",
      "ciInf_le",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_minimal",
      "closure_singleton",
      "commRing_strongRankCondition",
      "commute_iff_eq",
      "compactOperator",
      "compl_compl",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_apply",
      "continuous_const",
      "continuous_finset_sum",
      "continuous_id",
      "continuous_id'",
      "continuous_iff_isClosed",
      "continuous_norm",
      "continuous_pi",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "convex_singleton",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_nonneg",
      "dist_self",
      "dist_zero_right",
      "dite",
      "dite_cond_eq_false",
      "dite_cond_eq_true",
      "div_eq_mul_inv",
      "div_le_iff₀",
      "div_le_one",
      "div_lt_iff₀",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_pow",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_sub_iff_add_eq",
      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_nat_gt",
      "exists_ne",
      "exists_pair_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "forall_const",
      "forall_eq",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_lt_self",
      "half_lt_self_iff._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "iInf",
      "iSup",
      "iSupIndep",
      "iSupIndep_map_orderIso_iff",
      "iSup_congr_Prop",
      "iSup_image",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_le_left",
      "inf_le_right",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_eq_zero_symm",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_eq_zero",
      "inner_self_ne_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_sum",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqProd",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDecidableOr",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instDistribSMul",
      "instFaithfulSMul_1",
      "instFintypeOption",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasEquivOfSetoid",
      "instHasSolidNormReal",
      "instHasSummableGeomSeries",
      "instInhabitedNat",
      "instInhabitedPUnit",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsConcreteLE",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsEmptyFalse",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsSimpleModule",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulActionNatOfAddMonoid",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNatCastInt",
      "instNeZeroNatHAdd_1",
      "instNonUnitalAlgHomClassOfNonUnitalAlgEquivClass",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instNonemptyProd",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT2SpaceSubtype",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransIff",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "inv_smul_smul₀",
      "isClosed_biInter",
      "isClosed_closure",
      "isClosed_eq",
      "isClosed_setOf_isCompactOperator",
      "isClosed_univ",
      "isCompactOperator_of_locallyCompactSpace_dom",
      "isCompactOperator_zero",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isOpen_pi_iff",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_max_right",
      "le_min",
      "le_of_eq",
      "le_of_forall_pos_le_add",
      "le_of_le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "locallyCompact_of_proper",
      "lowerBounds",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_div_iff₀",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_lt",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
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      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "lt_trans",
      "map_add",
      "map_div₀",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_natCast",
      "map_neg",
      "map_one",
      "map_pow",
      "map_ratCast",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_closure_iff",
      "mem_extremePoints_iff_left",
      "min_eq_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mt",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_le_of_le_one_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_right_cancel₀",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_add_eq_zero",
      "neg_add_rev",
      "neg_apply",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_one_smul",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_div",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_exists",
      "not_false",
      "not_false_eq_true",
      "not_le_of_gt",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_or",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
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      "of_eq_true",
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      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
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      "one_smul",
      "openSegment",
      "openSegment_symm",
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      "or_comm",
      "or_self",
      "or_true",
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      "pow_succ'",
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      "propext",
      "quasispectrum",
      "rank_le_one_iff",
      "rank_submodule_le_one_iff'",
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      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_ne_zero",
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      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingAut",
      "starRingEnd",
      "star_div₀",
      "star_eq_zero",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_sum",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
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      "sub_ne_zero",
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      "sub_nonneg._simp_1",
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      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "subset_closure",
      "subsingleton_or_nontrivial",
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      "sum_mem",
      "summable_geometric_of_norm_lt_one",
      "summable_geometric_two'",
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      "sup_of_le_right",
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      "tendsto_finsetSum",
      "tendsto_iff_dist_tendsto_zero",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "trivial",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_ite_eq",
      "tsum_star",
      "two_mul",
      "two_smul",
      "uniformity",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.forall_irreducible_finrank_eq_iff_component_compact_homeomorph": [
      "Add.mk",
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.mk",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.mk",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.mk",
      "AddMonoid.nsmul_succ._autoParam",
      "AddMonoid.nsmul_zero._autoParam",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instAddMonoidHomClass",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.isometry_of_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.mk",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.sub",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Antitone",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bornology.cobounded",
      "Bornology.mk",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "BoundedOrder.toOrderTop",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.instNonnegSpectrumClass'",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choice",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_forall",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.closure_top",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.isClosed_iff",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toCommMonoid",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "Compl.compl",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toBoundedOrder",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteLattice.toLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.exists_norm_eq_mul_self",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instCompleteSpace",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_I",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "Con.toSetoid",
      "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
      "ConditionallyCompleteLattice.toLattice",
      "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice",
      "ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup",
      "ConditionallyCompletePartialOrderSup.toPartialOrder",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.norm",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.codRestrict",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instModuleFinite",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.map_zero",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.opNorm_zero",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.sum_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.toSpanSingleton",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousLinearMapWOT",
      "ContinuousLinearMapWOT.continuous_dual_apply",
      "ContinuousLinearMapWOT.inducingFn",
      "ContinuousLinearMapWOT.instAddCommGroup",
      "ContinuousLinearMapWOT.instFunLike",
      "ContinuousLinearMapWOT.instModule",
      "ContinuousLinearMapWOT.instTopologicalSpace",
      "ContinuousLinearMapWOT.isInducing_inducingFn",
      "ContinuousLinearMapWOT.ofCLM",
      "ContinuousLinearMapWOT.toCLM",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.mul",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Directed",
      "Disjoint",
      "Dist.dist",
      "Dist.mk",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.mk",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.isSimpleRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.isPrincipalIdealRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "ENNReal.ofReal",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.subset",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Eq.trans_ne",
      "Equiv",
      "Equiv.Perm.star",
      "Equiv.apply_symm_apply",
      "Equiv.ext",
      "Equiv.injective",
      "Equiv.instEquivLike",
      "Equiv.invFun",
      "Equiv.left_inv",
      "Equiv.mk",
      "Equiv.ofBijective",
      "Equiv.prodComm",
      "Equiv.refl",
      "Equiv.right_inv",
      "Equiv.surjective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "Equiv.symm_image_image",
      "Equiv.toFun",
      "Equiv.trans",
      "EquivLike.toFunLike",
      "Equivalence",
      "Equivalence.mk",
      "Equivalence.refl",
      "Equivalence.symm",
      "Equivalence.trans",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.instIsLocalRing",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.cofinite",
      "Filter.comap",
      "Filter.instInfSet",
      "Filter.instPartialOrder",
      "Filter.lift'",
      "Filter.mp_mem",
      "Filter.principal",
      "Filter.sets",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.complete",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.finiteDimensional_submodule",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.of_injective",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.proper_real",
      "FiniteDimensional.rclike_to_real",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.Subtype.fintype",
      "Finset.card",
      "Finset.card_singleton",
      "Finset.decidableMem",
      "Finset.finite_toSet",
      "Finset.induction_on",
      "Finset.instEmptyCollection",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.instSingleton",
      "Finset.mem_insert",
      "Finset.mem_insert_of_mem",
      "Finset.mem_insert_self",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.notMem_empty._simp_1",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_ite_eq",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Finset.univ_unique",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "Fintype.sum_option",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Bijective",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.Involutive",
      "Function.LeftInverse",
      "Function.RightInverse",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "Function.hasSMul",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasEquiv.Equiv",
      "HasQuotient.Quotient",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Homeomorph",
      "Homeomorph.mk",
      "Homeomorph.toEquiv",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Iff.symm",
      "Iff.trans",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rankOne_comp_rankOne",
      "InnerProductSpace.rankOne_def'",
      "InnerProductSpace.rankOne_ne_zero",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.mul",
      "Int.negOfNat",
      "Int.negSucc",
      "Int.ofNat",
      "Int.rawCast",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.inter",
      "IsClosed.isOpen_compl",
      "IsClosed.mk",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.inter_right",
      "IsCompact.nonempty_iInter_of_directed_nonempty_isCompact_isClosed",
      "IsCompact.of_isClosed_subset",
      "IsCompact.totallyBounded",
      "IsCompactOperator",
      "IsCompactOperator.add",
      "IsCompactOperator.clm_comp",
      "IsCompactOperator.comp_clm",
      "IsCompactOperator.image_closedBall_subset_compact",
      "IsCompactOperator.smul",
      "IsConcreteLE",
      "IsDedekindDomain.isDedekindDomainDvr",
      "IsDedekindDomainDvr.toIsNoetherian",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsEmpty.forall_iff._simp_1",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsLocalRing.toNontrivial",
      "IsNoetherianRing.strongRankCondition",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsPrincipalIdealRing.isDedekindDomain",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.cfcₙ",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsSimpleRing.instNontrivial",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_eq",
      "LE.le.trans_lt",
      "LE.mk",
      "LT.lt",
      "LT.lt.false",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "LT.mk",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.finiteDimensional",
      "LinearEquiv.finrank_eq",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.mk",
      "LinearEquiv.refl",
      "LinearEquiv.surjective",
      "LinearEquiv.symm",
      "LinearEquiv.toLinearMap",
      "LinearIndependent",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometry.isometry",
      "LinearIsometry.toLinearMap",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.mk",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.refl",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.trans",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.coe_sum",
      "LinearMap.comp",
      "LinearMap.congr_fun",
      "LinearMap.exists_extend",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.finiteDimensional_range",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.isometryOfInner",
      "LinearMap.ker",
      "LinearMap.ker_pi",
      "LinearMap.ker_zero",
      "LinearMap.mem_ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.pi",
      "LinearMap.quotKerEquivRange",
      "LinearMap.quotKerEquivRange_symm_apply_image",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "LinearOrderedSemiField.toDenselyOrdered",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_eq_true",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Matrix.cons_val_fin_one",
      "Matrix.vecCons",
      "Matrix.vecEmpty",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.isOpen_iff",
      "Metric.mem_ball",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "Metric.totallyBounded_iff",
      "MetricSpace",
      "MetricSpace.mk",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.Basis",
      "Module.Basis.instFunLike",
      "Module.Basis.linearIndependent",
      "Module.Basis.mk",
      "Module.Basis.ne_zero",
      "Module.Basis.span_eq",
      "Module.Finite",
      "Module.Finite.of_basis",
      "Module.Finite.top",
      "Module.Free.of_divisionRing",
      "Module.complexToReal",
      "Module.finBasis",
      "Module.finrank",
      "Module.finrank_eq_card_basis",
      "Module.mk",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "Mul.mk",
      "MulAction",
      "MulAction.mk",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.find",
      "Nat.find_min'",
      "Nat.find_spec",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.ofNat_pos._simp_1",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.mk",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.norm_quasispectrum_le",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing",
      "NonUnitalNonAssocRing.left_distrib",
      "NonUnitalNonAssocRing.mk",
      "NonUnitalNonAssocRing.mul_zero",
      "NonUnitalNonAssocRing.right_distrib",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toMul",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.zero_mul",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.mk",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing",
      "NonUnitalRing.mk",
      "NonUnitalRing.mul_assoc",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.codRestrict",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mem_range",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.range",
      "NonUnitalStarAlgHom.rangeRestrict",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarAlgebra.instCompleteLatticeNonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.ext",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.mk",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring._proof_1",
      "NonUnitalStarSubalgebra.toNonUnitalSubalgebra",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebra.mk",
      "NonUnitalSubalgebra.toSubmodule",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiring.mk",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.toAddSubmonoidClass",
      "NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring",
      "Nonempty",
      "Nonempty.casesOn",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "NonnegSpectrumClass.quasispectrum_nonneg_of_nonneg",
      "Nontrivial",
      "Nontrivial.mk",
      "Nontrivial.to_nonempty",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.mk",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.dist_eq",
      "NormedAddCommGroup.dist_eq._autoParam",
      "NormedAddCommGroup.mk",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.mk",
      "NormedSpace.norm_normalize",
      "NormedSpace.normalize",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Option",
      "Option.elim'",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Or.resolve_right",
      "Order.Frame.toHeytingAlgebra",
      "Order.IsIdeal.Directed",
      "Order.IsIdeal.IsLowerSet",
      "Order.IsIdeal.Nonempty",
      "Order.IsPFilter",
      "Order.IsPFilter.of_def",
      "OrderBot.toBot",
      "OrderDual",
      "OrderDual.instLE",
      "OrderDual.ofDual",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderIso.apply_symm_apply",
      "OrderIso.injective",
      "OrderIso.map_top",
      "OrderIso.monotone",
      "OrderIso.symm_apply_apply",
      "OrderIso.trans",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "OrthonormalBasis.sum_repr'",
      "PUnit.fintype",
      "PUnit.instUnique",
      "PUnit.unit",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.Function.module",
      "Pi.addCommGroup",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instSMul",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_apply",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "Pi.topologicalSpace",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder",
      "Preorder.mk",
      "Preorder.toLE",
      "Preorder.toLT",
      "PrincipalIdealRing.isNoetherianRing",
      "Prod",
      "Prod.algebra",
      "Prod.casesOn",
      "Prod.ext",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.swap",
      "Prod.swap_swap",
      "Prod.toNorm",
      "Projectivization",
      "Projectivization.Independent",
      "Projectivization.Independent.mk",
      "Projectivization.Subspace",
      "Projectivization.Subspace.instCompleteLattice",
      "Projectivization.Subspace.instPartialOrder",
      "Projectivization.Subspace.instSetLike",
      "Projectivization.Subspace.mem_add",
      "Projectivization.Subspace.mem_submodule_iff",
      "Projectivization.Subspace.mk",
      "Projectivization.Subspace.span",
      "Projectivization.Subspace.spanCarrier",
      "Projectivization.Subspace.spanCarrier.rec",
      "Projectivization.Subspace.span_coe",
      "Projectivization.Subspace.span_le_span",
      "Projectivization.Subspace.span_le_subspace_iff",
      "Projectivization.Subspace.submodule",
      "Projectivization.Subspace.subset_span",
      "Projectivization.independent_iff",
      "Projectivization.independent_iff_iSupIndep",
      "Projectivization.instNonemptyOfNontrivial",
      "Projectivization.mk",
      "Projectivization.mk_eq_mk_iff'",
      "Projectivization.mk_rep",
      "Projectivization.rep",
      "Projectivization.rep_nonzero",
      "Projectivization.submodule",
      "Projectivization.submodule_eq",
      "Projectivization.submodule_injective",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.cobounded_sets._autoParam",
      "PseudoMetricSpace.edist_dist._autoParam",
      "PseudoMetricSpace.mk",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "PseudoMetricSpace.uniformity_dist._autoParam",
      "Quotient",
      "Quotient.eq",
      "Quotient.inductionOn",
      "Quotient.inductionOn₂",
      "Quotient.lift",
      "Quotient.map'",
      "Quotient.mk",
      "Quotient.mk'",
      "Quotient.mk''",
      "Quotient.sound",
      "QuotientModule.Quotient.topologicalSpace",
      "QuotientModule.Quotient.topologicalSpace._proof_1",
      "QuotientModule.Quotient.topologicalSpace._proof_2",
      "QuotientModule.Quotient.topologicalSpace._proof_3",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.norm_sq_eq_def",
      "RCLike.ofReal",
      "RCLike.one_im",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toCompleteSpace",
      "RCLike.toDecidableEq",
      "RCLike.toDenselyNormedField",
      "RCLike.toInnerProductSpaceReal",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instConditionallyCompleteLinearOrder",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInfSet",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.norm_ofNat",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Real.sqrt_sq",
      "RelIso.mk",
      "RelIso.toEquiv",
      "Relation.EqvGen",
      "Relation.EqvGen.rec",
      "Relation.EqvGen.rel",
      "Relation.EqvGen.setoid",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingCon.toCon",
      "RingEquiv.mk",
      "RingEquiv.surjective",
      "RingEquiv.toEquiv",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMul.mk",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulCommClass.smul_comm",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "SProd.sprod",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mk",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Finite",
      "Set.Finite.fintype",
      "Set.Finite.image",
      "Set.Finite.insert",
      "Set.Finite.union",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Nonempty.to_subtype",
      "Set.Pairwise",
      "Set.Subset.antisymm",
      "Set.Subset.rfl",
      "Set.Subset.trans",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.empty_subset",
      "Set.eq_empty_iff_forall_notMem",
      "Set.eq_univ_iff_forall",
      "Set.ext",
      "Set.ext_iff",
      "Set.extremePoints",
      "Set.finite_range",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.iUnion",
      "Set.image",
      "Set.image_congr",
      "Set.image_empty",
      "Set.image_id",
      "Set.image_image",
      "Set.image_mono",
      "Set.image_pair",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.image_union",
      "Set.instBooleanAlgebra",
      "Set.instBoundedOrder",
      "Set.instCompl",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instOrderTop",
      "Set.instReflSubset",
      "Set.instSProd",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_iUnion",
      "Set.mem_iUnion₂",
      "Set.mem_image",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_range_self",
      "Set.mem_sInter",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_union",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.not_nonempty_iff_eq_empty",
      "Set.pairwise_singleton",
      "Set.pi",
      "Set.preimage",
      "Set.preimage_empty",
      "Set.preimage_union",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sInter",
      "Set.sInter_subset_of_mem",
      "Set.sUnion",
      "Set.singleton_nonempty",
      "Set.singleton_subset_iff",
      "Set.subset_sUnion_of_mem",
      "Set.subset_union_left",
      "Set.subset_union_right",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.union_subset",
      "Set.univ",
      "SetLike",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.ext",
      "SetLike.instMembership",
      "SetLike.le_def",
      "SetLike.mem_coe",
      "SetRel.comp",
      "Setoid",
      "Setoid.iseqv",
      "Setoid.mk",
      "Setoid.r",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.mk",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv",
      "StarAlgEquiv.instEquivLike",
      "StarAlgEquiv.instFunLike",
      "StarAlgEquiv.instNonUnitalAlgEquivClass",
      "StarAlgEquiv.mk",
      "StarAlgEquiv.symm",
      "StarAlgEquiv.symm_apply_apply",
      "StarAlgEquiv.toNonUnitalStarAlgHom",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgEquiv.toStarRingEquiv",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.instStarRing",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingEquiv.mk",
      "StarRingEquiv.toRingEquiv",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "Sub.mk",
      "SubNegMonoid.mk",
      "SubNegMonoid.sub_eq_add_neg._autoParam",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegMonoid.zsmul_neg'._autoParam",
      "SubNegMonoid.zsmul_succ'._autoParam",
      "SubNegMonoid.zsmul_zero'._autoParam",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.Quotient.addCommGroup._aux_1",
      "Submodule.Quotient.addCommGroup._aux_3",
      "Submodule.Quotient.addCommGroup._aux_6",
      "Submodule.Quotient.addCommGroup._proof_10",
      "Submodule.Quotient.addCommGroup._proof_11",
      "Submodule.Quotient.addCommGroup._proof_12",
      "Submodule.Quotient.addCommGroup._proof_5",
      "Submodule.Quotient.addCommGroup._proof_8",
      "Submodule.Quotient.addCommGroup._proof_9",
      "Submodule.Quotient.addCommMonoid",
      "Submodule.Quotient.addMonoid._aux_1",
      "Submodule.Quotient.addMonoid._aux_6",
      "Submodule.Quotient.addMonoid._proof_3",
      "Submodule.Quotient.addMonoid._proof_4",
      "Submodule.Quotient.addMonoid._proof_5",
      "Submodule.Quotient.addMonoid._proof_8",
      "Submodule.Quotient.addMonoid._proof_9",
      "Submodule.Quotient.completeSpace",
      "Submodule.Quotient.distribMulAction'._proof_1",
      "Submodule.Quotient.distribMulAction'._proof_2",
      "Submodule.Quotient.eq",
      "Submodule.Quotient.instSMul'._proof_2",
      "Submodule.Quotient.instZeroQuotient",
      "Submodule.Quotient.mk",
      "Submodule.Quotient.mk_eq_zero",
      "Submodule.Quotient.module",
      "Submodule.Quotient.module'._proof_3",
      "Submodule.Quotient.module'._proof_4",
      "Submodule.Quotient.mulAction'._proof_1",
      "Submodule.Quotient.mulAction'._proof_2",
      "Submodule.Quotient.norm_mk_le",
      "Submodule.Quotient.norm_mk_lt",
      "Submodule.Quotient.normedAddCommGroup._proof_1",
      "Submodule.Quotient.normedAddCommGroup._proof_2",
      "Submodule.Quotient.normedSpace",
      "Submodule.Quotient.normedSpace._proof_1",
      "Submodule.Quotient.seminormedAddCommGroup",
      "Submodule.Quotient.seminormedAddCommGroup._aux_1",
      "Submodule.Quotient.seminormedAddCommGroup._aux_11",
      "Submodule.Quotient.seminormedAddCommGroup._aux_17",
      "Submodule.Quotient.seminormedAddCommGroup._aux_3",
      "Submodule.Quotient.seminormedAddCommGroup._aux_8",
      "Submodule.Quotient.seminormedAddCommGroup._proof_10",
      "Submodule.Quotient.seminormedAddCommGroup._proof_13",
      "Submodule.Quotient.seminormedAddCommGroup._proof_14",
      "Submodule.Quotient.seminormedAddCommGroup._proof_15",
      "Submodule.Quotient.seminormedAddCommGroup._proof_16",
      "Submodule.Quotient.seminormedAddCommGroup._proof_19",
      "Submodule.Quotient.seminormedAddCommGroup._proof_20",
      "Submodule.Quotient.seminormedAddCommGroup._proof_5",
      "Submodule.Quotient.seminormedAddCommGroup._proof_6",
      "Submodule.Quotient.seminormedAddCommGroup._proof_7",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.addSubmonoidClass",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_bot_iff",
      "Submodule.eq_of_le_of_finrank_le",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.exists_le_ker_of_notMem",
      "Submodule.ext",
      "Submodule.finiteDimensional_of_le",
      "Submodule.finiteDimensional_sup",
      "Submodule.hasQuotient",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instInfSet",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.liftQ",
      "Submodule.liftQL",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_iInf",
      "Submodule.mem_inf",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_pair",
      "Submodule.mem_span_range_iff_exists_fun",
      "Submodule.mem_span_singleton",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.mkQ",
      "Submodule.mkQL",
      "Submodule.mkQ_surjective",
      "Submodule.mk_mem_projectivization_iff",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.projectivization",
      "Submodule.quotientRel",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_le",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_minimal",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "Submodule.subtypeL",
      "Submodule.sum_mem",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "SubmoduleClass.module",
      "SubmoduleClass.toNormedSpace",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.coe_injective",
      "Subtype.ext",
      "Subtype.forall",
      "Subtype.instDecidableEq",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.range_coe_subtype",
      "Subtype.val",
      "Subtype.val_injective",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "Superset",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.mk",
      "TopologicalSpace.ofClosed",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Topology.IsInducing",
      "Topology.IsInducing.closure_eq_preimage_closure_image",
      "Topology.IsInducing.piMap",
      "TotallyBounded",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "TwoSidedIdeal",
      "TwoSidedIdeal.coe_top",
      "TwoSidedIdeal.ext",
      "TwoSidedIdeal.instInfSet",
      "TwoSidedIdeal.instPartialOrder",
      "TwoSidedIdeal.instSemilatticeInf",
      "TwoSidedIdeal.instTop",
      "TwoSidedIdeal.ker",
      "TwoSidedIdeal.mem_iInf",
      "TwoSidedIdeal.mem_inf",
      "TwoSidedIdeal.mem_ker",
      "TwoSidedIdeal.mem_top",
      "TwoSidedIdeal.mul_mem_left",
      "TwoSidedIdeal.mul_mem_right",
      "TwoSidedIdeal.ringCon",
      "TwoSidedIdeal.setLike",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.mk",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAddGroup",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instCompleteSpace",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
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      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
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      "Unitization.instZero",
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      "Unitization.starLift._proof_1",
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      "add_right_inj._simp_1",
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      "add_sub_cancel",
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      "algebraMap.coe_neg",
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      "cfcₙ_predicate",
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      "cfcₙ_zero",
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      "closure_convexHull_extremePoints",
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      "commute_iff_eq",
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      "complete_of_proper",
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      "continuousOn_id",
      "continuousOn_id'",
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      "continuous_finset_sum",
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      "continuous_iff_isClosed",
      "continuous_norm",
      "continuous_pi",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
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      "fact_one_le_two_ennreal",
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      "geometric_hahn_banach_open",
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      "inner_conj_symm",
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      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_eq_zero",
      "inner_self_ne_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_sum",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqProd",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDecidableOr",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFintypeOption",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasEquivOfSetoid",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsConcreteLE",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsEmptyFalse",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsPrincipalIdealRingOfIsSemisimpleRing",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsSemisimpleModuleOfIsSimpleModule",
      "instIsSimpleModule",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulActionNatOfAddMonoid",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNatCastInt",
      "instNeZeroNatHAdd_1",
      "instNonUnitalAlgHomClassOfNonUnitalAlgEquivClass",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instNonemptyProd",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT2SpaceSubtype",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransIff",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "inv_smul_smul₀",
      "isClosed_biInter",
      "isClosed_eq",
      "isClosed_setOf_isCompactOperator",
      "isClosed_univ",
      "isCompactOperator_of_locallyCompactSpace_dom",
      "isCompactOperator_zero",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isNoetherian_of_isNoetherianRing_of_finite",
      "isOpen_Ioi",
      "isOpen_pi_iff",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
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      "ite_cond_eq_false",
      "ite_cond_eq_true",
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      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
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      "le_max_right",
      "le_min",
      "le_of_eq",
      "le_of_forall_pos_le_add",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "locallyCompact_of_proper",
      "lowerBounds",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_lt",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
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      "lt_or_eq_of_le",
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      "map_div₀",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
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      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_closure_iff",
      "mem_extremePoints_iff_left",
      "min_eq_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mt",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_le_of_le_one_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_add_eq_zero",
      "neg_apply",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_one_smul",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_div",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_or",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "openSegment_symm",
      "optParam",
      "or_comm",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
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      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_div₀",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "subsingleton_or_nontrivial",
      "sum_apply",
      "sum_inner",
      "sum_mem",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "trivial",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "uniformity",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
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      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.mk",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.mk",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.mk",
      "AddMonoid.nsmul_succ._autoParam",
      "AddMonoid.nsmul_zero._autoParam",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instAddMonoidHomClass",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.isometry_of_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.mk",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.sub",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Antitone",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bornology.cobounded",
      "Bornology.mk",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "BoundedOrder.toOrderTop",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.instNonnegSpectrumClass'",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choice",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_forall",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.closure_top",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.isClosed_iff",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toCommMonoid",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "Compl.compl",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toBoundedOrder",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteLattice.toLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.exists_norm_eq_mul_self",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instCompleteSpace",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_I",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "Con.toSetoid",
      "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
      "ConditionallyCompleteLattice.toLattice",
      "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice",
      "ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup",
      "ConditionallyCompletePartialOrderSup.toPartialOrder",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.norm",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.codRestrict",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instModuleFinite",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.map_zero",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.opNorm_zero",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.sum_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.toSpanSingleton",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousLinearMapWOT",
      "ContinuousLinearMapWOT.continuous_dual_apply",
      "ContinuousLinearMapWOT.inducingFn",
      "ContinuousLinearMapWOT.instAddCommGroup",
      "ContinuousLinearMapWOT.instFunLike",
      "ContinuousLinearMapWOT.instModule",
      "ContinuousLinearMapWOT.instTopologicalSpace",
      "ContinuousLinearMapWOT.isInducing_inducingFn",
      "ContinuousLinearMapWOT.ofCLM",
      "ContinuousLinearMapWOT.toCLM",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.mul",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Directed",
      "Disjoint",
      "Dist.dist",
      "Dist.mk",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.mk",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.isSimpleRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.isPrincipalIdealRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "ENNReal.ofReal",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.subset",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Eq.trans_ne",
      "Equiv",
      "Equiv.Perm.star",
      "Equiv.apply_symm_apply",
      "Equiv.ext",
      "Equiv.injective",
      "Equiv.instEquivLike",
      "Equiv.invFun",
      "Equiv.left_inv",
      "Equiv.mk",
      "Equiv.ofBijective",
      "Equiv.prodComm",
      "Equiv.refl",
      "Equiv.right_inv",
      "Equiv.surjective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "Equiv.symm_image_image",
      "Equiv.toFun",
      "Equiv.trans",
      "EquivLike.toFunLike",
      "Equivalence",
      "Equivalence.mk",
      "Equivalence.refl",
      "Equivalence.symm",
      "Equivalence.trans",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.instIsLocalRing",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.cofinite",
      "Filter.comap",
      "Filter.instInfSet",
      "Filter.instPartialOrder",
      "Filter.lift'",
      "Filter.mp_mem",
      "Filter.principal",
      "Filter.sets",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.complete",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.finiteDimensional_submodule",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.of_injective",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.proper_real",
      "FiniteDimensional.rclike_to_real",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.Subtype.fintype",
      "Finset.card",
      "Finset.card_singleton",
      "Finset.decidableMem",
      "Finset.finite_toSet",
      "Finset.induction_on",
      "Finset.instEmptyCollection",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.instSingleton",
      "Finset.mem_insert",
      "Finset.mem_insert_of_mem",
      "Finset.mem_insert_self",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.notMem_empty._simp_1",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_ite_eq",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Finset.univ_unique",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "Fintype.sum_option",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Bijective",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.Involutive",
      "Function.LeftInverse",
      "Function.RightInverse",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "Function.hasSMul",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasEquiv.Equiv",
      "HasQuotient.Quotient",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Homeomorph",
      "Homeomorph.mk",
      "Homeomorph.toEquiv",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Iff.symm",
      "Iff.trans",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rankOne_comp_rankOne",
      "InnerProductSpace.rankOne_def'",
      "InnerProductSpace.rankOne_ne_zero",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.mul",
      "Int.negOfNat",
      "Int.negSucc",
      "Int.ofNat",
      "Int.rawCast",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.inter",
      "IsClosed.isOpen_compl",
      "IsClosed.mk",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.inter_right",
      "IsCompact.nonempty_iInter_of_directed_nonempty_isCompact_isClosed",
      "IsCompact.of_isClosed_subset",
      "IsCompact.totallyBounded",
      "IsCompactOperator",
      "IsCompactOperator.add",
      "IsCompactOperator.clm_comp",
      "IsCompactOperator.comp_clm",
      "IsCompactOperator.image_closedBall_subset_compact",
      "IsCompactOperator.smul",
      "IsConcreteLE",
      "IsDedekindDomain.isDedekindDomainDvr",
      "IsDedekindDomainDvr.toIsNoetherian",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsEmpty.forall_iff._simp_1",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsLocalRing.toNontrivial",
      "IsNoetherianRing.strongRankCondition",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsPrincipalIdealRing.isDedekindDomain",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.cfcₙ",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsSimpleRing.instNontrivial",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_eq",
      "LE.le.trans_lt",
      "LE.mk",
      "LT.lt",
      "LT.lt.false",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "LT.mk",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.finiteDimensional",
      "LinearEquiv.finrank_eq",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.mk",
      "LinearEquiv.refl",
      "LinearEquiv.surjective",
      "LinearEquiv.symm",
      "LinearEquiv.toLinearMap",
      "LinearIndependent",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometry.isometry",
      "LinearIsometry.toLinearMap",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.mk",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.refl",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.trans",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.coe_sum",
      "LinearMap.comp",
      "LinearMap.congr_fun",
      "LinearMap.exists_extend",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.finiteDimensional_range",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.isometryOfInner",
      "LinearMap.ker",
      "LinearMap.ker_pi",
      "LinearMap.ker_zero",
      "LinearMap.mem_ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.pi",
      "LinearMap.quotKerEquivRange",
      "LinearMap.quotKerEquivRange_symm_apply_image",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "LinearOrderedSemiField.toDenselyOrdered",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_eq_true",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Matrix.cons_val_fin_one",
      "Matrix.vecCons",
      "Matrix.vecEmpty",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.isOpen_iff",
      "Metric.mem_ball",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "Metric.totallyBounded_iff",
      "MetricSpace",
      "MetricSpace.mk",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.Basis",
      "Module.Basis.instFunLike",
      "Module.Basis.linearIndependent",
      "Module.Basis.mk",
      "Module.Basis.ne_zero",
      "Module.Basis.span_eq",
      "Module.Finite",
      "Module.Finite.of_basis",
      "Module.Finite.top",
      "Module.Free.of_divisionRing",
      "Module.complexToReal",
      "Module.finBasis",
      "Module.finrank",
      "Module.finrank_eq_card_basis",
      "Module.mk",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "Mul.mk",
      "MulAction",
      "MulAction.mk",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.find",
      "Nat.find_min'",
      "Nat.find_spec",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.ofNat_pos._simp_1",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.mk",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.norm_quasispectrum_le",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing",
      "NonUnitalNonAssocRing.left_distrib",
      "NonUnitalNonAssocRing.mk",
      "NonUnitalNonAssocRing.mul_zero",
      "NonUnitalNonAssocRing.right_distrib",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toMul",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.zero_mul",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.mk",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing",
      "NonUnitalRing.mk",
      "NonUnitalRing.mul_assoc",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.codRestrict",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mem_range",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.range",
      "NonUnitalStarAlgHom.rangeRestrict",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarAlgebra.instCompleteLatticeNonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.ext",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.mk",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring._proof_1",
      "NonUnitalStarSubalgebra.toNonUnitalSubalgebra",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebra.mk",
      "NonUnitalSubalgebra.toSubmodule",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiring.mk",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.toAddSubmonoidClass",
      "NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring",
      "Nonempty",
      "Nonempty.casesOn",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "NonnegSpectrumClass.quasispectrum_nonneg_of_nonneg",
      "Nontrivial",
      "Nontrivial.mk",
      "Nontrivial.to_nonempty",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.mk",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.dist_eq",
      "NormedAddCommGroup.dist_eq._autoParam",
      "NormedAddCommGroup.mk",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.mk",
      "NormedSpace.norm_normalize",
      "NormedSpace.normalize",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Option",
      "Option.elim'",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Or.resolve_right",
      "Order.Frame.toHeytingAlgebra",
      "Order.IsIdeal.Directed",
      "Order.IsIdeal.IsLowerSet",
      "Order.IsIdeal.Nonempty",
      "Order.IsPFilter",
      "Order.IsPFilter.of_def",
      "OrderBot.toBot",
      "OrderDual",
      "OrderDual.instLE",
      "OrderDual.ofDual",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderIso.apply_symm_apply",
      "OrderIso.injective",
      "OrderIso.map_top",
      "OrderIso.monotone",
      "OrderIso.symm_apply_apply",
      "OrderIso.trans",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "OrthonormalBasis.sum_repr'",
      "PUnit.fintype",
      "PUnit.instUnique",
      "PUnit.unit",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.Function.module",
      "Pi.addCommGroup",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instSMul",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_apply",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "Pi.topologicalSpace",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder",
      "Preorder.mk",
      "Preorder.toLE",
      "Preorder.toLT",
      "PrincipalIdealRing.isNoetherianRing",
      "Prod",
      "Prod.algebra",
      "Prod.casesOn",
      "Prod.ext",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.swap",
      "Prod.swap_swap",
      "Prod.toNorm",
      "Projectivization",
      "Projectivization.Independent",
      "Projectivization.Independent.mk",
      "Projectivization.Subspace",
      "Projectivization.Subspace.instCompleteLattice",
      "Projectivization.Subspace.instPartialOrder",
      "Projectivization.Subspace.instSetLike",
      "Projectivization.Subspace.mem_add",
      "Projectivization.Subspace.mem_submodule_iff",
      "Projectivization.Subspace.mk",
      "Projectivization.Subspace.span",
      "Projectivization.Subspace.spanCarrier",
      "Projectivization.Subspace.spanCarrier.rec",
      "Projectivization.Subspace.span_coe",
      "Projectivization.Subspace.span_le_span",
      "Projectivization.Subspace.span_le_subspace_iff",
      "Projectivization.Subspace.submodule",
      "Projectivization.Subspace.subset_span",
      "Projectivization.independent_iff",
      "Projectivization.independent_iff_iSupIndep",
      "Projectivization.instNonemptyOfNontrivial",
      "Projectivization.mk",
      "Projectivization.mk_eq_mk_iff'",
      "Projectivization.mk_rep",
      "Projectivization.rep",
      "Projectivization.rep_nonzero",
      "Projectivization.submodule",
      "Projectivization.submodule_eq",
      "Projectivization.submodule_injective",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.cobounded_sets._autoParam",
      "PseudoMetricSpace.edist_dist._autoParam",
      "PseudoMetricSpace.mk",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "PseudoMetricSpace.uniformity_dist._autoParam",
      "Quotient",
      "Quotient.eq",
      "Quotient.inductionOn",
      "Quotient.inductionOn₂",
      "Quotient.lift",
      "Quotient.map'",
      "Quotient.mk",
      "Quotient.mk'",
      "Quotient.mk''",
      "Quotient.sound",
      "QuotientModule.Quotient.topologicalSpace",
      "QuotientModule.Quotient.topologicalSpace._proof_1",
      "QuotientModule.Quotient.topologicalSpace._proof_2",
      "QuotientModule.Quotient.topologicalSpace._proof_3",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.norm_sq_eq_def",
      "RCLike.ofReal",
      "RCLike.one_im",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toCompleteSpace",
      "RCLike.toDecidableEq",
      "RCLike.toDenselyNormedField",
      "RCLike.toInnerProductSpaceReal",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instConditionallyCompleteLinearOrder",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInfSet",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.norm_ofNat",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Real.sqrt_sq",
      "RelIso.mk",
      "RelIso.toEquiv",
      "Relation.EqvGen",
      "Relation.EqvGen.rec",
      "Relation.EqvGen.rel",
      "Relation.EqvGen.setoid",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingCon.toCon",
      "RingEquiv.mk",
      "RingEquiv.surjective",
      "RingEquiv.toEquiv",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMul.mk",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulCommClass.smul_comm",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "SProd.sprod",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mk",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Finite",
      "Set.Finite.fintype",
      "Set.Finite.image",
      "Set.Finite.insert",
      "Set.Finite.union",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Nonempty.to_subtype",
      "Set.Pairwise",
      "Set.Subset.antisymm",
      "Set.Subset.rfl",
      "Set.Subset.trans",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.empty_subset",
      "Set.eq_empty_iff_forall_notMem",
      "Set.eq_univ_iff_forall",
      "Set.ext",
      "Set.ext_iff",
      "Set.extremePoints",
      "Set.finite_range",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.iUnion",
      "Set.image",
      "Set.image_congr",
      "Set.image_empty",
      "Set.image_id",
      "Set.image_image",
      "Set.image_mono",
      "Set.image_pair",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.image_union",
      "Set.instBooleanAlgebra",
      "Set.instBoundedOrder",
      "Set.instCompl",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instOrderTop",
      "Set.instReflSubset",
      "Set.instSProd",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_iUnion",
      "Set.mem_iUnion₂",
      "Set.mem_image",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_range_self",
      "Set.mem_sInter",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_union",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.not_nonempty_iff_eq_empty",
      "Set.pairwise_singleton",
      "Set.pi",
      "Set.preimage",
      "Set.preimage_empty",
      "Set.preimage_union",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sInter",
      "Set.sInter_subset_of_mem",
      "Set.sUnion",
      "Set.singleton_nonempty",
      "Set.singleton_subset_iff",
      "Set.subset_sUnion_of_mem",
      "Set.subset_union_left",
      "Set.subset_union_right",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.union_subset",
      "Set.univ",
      "SetLike",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.ext",
      "SetLike.instMembership",
      "SetLike.le_def",
      "SetLike.mem_coe",
      "SetRel.comp",
      "Setoid",
      "Setoid.iseqv",
      "Setoid.mk",
      "Setoid.r",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.mk",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv",
      "StarAlgEquiv.instEquivLike",
      "StarAlgEquiv.instFunLike",
      "StarAlgEquiv.instNonUnitalAlgEquivClass",
      "StarAlgEquiv.mk",
      "StarAlgEquiv.symm",
      "StarAlgEquiv.symm_apply_apply",
      "StarAlgEquiv.toNonUnitalStarAlgHom",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgEquiv.toStarRingEquiv",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.instStarRing",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingEquiv.mk",
      "StarRingEquiv.toRingEquiv",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "Sub.mk",
      "SubNegMonoid.mk",
      "SubNegMonoid.sub_eq_add_neg._autoParam",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegMonoid.zsmul_neg'._autoParam",
      "SubNegMonoid.zsmul_succ'._autoParam",
      "SubNegMonoid.zsmul_zero'._autoParam",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.Quotient.addCommGroup._aux_1",
      "Submodule.Quotient.addCommGroup._aux_3",
      "Submodule.Quotient.addCommGroup._aux_6",
      "Submodule.Quotient.addCommGroup._proof_10",
      "Submodule.Quotient.addCommGroup._proof_11",
      "Submodule.Quotient.addCommGroup._proof_12",
      "Submodule.Quotient.addCommGroup._proof_5",
      "Submodule.Quotient.addCommGroup._proof_8",
      "Submodule.Quotient.addCommGroup._proof_9",
      "Submodule.Quotient.addCommMonoid",
      "Submodule.Quotient.addMonoid._aux_1",
      "Submodule.Quotient.addMonoid._aux_6",
      "Submodule.Quotient.addMonoid._proof_3",
      "Submodule.Quotient.addMonoid._proof_4",
      "Submodule.Quotient.addMonoid._proof_5",
      "Submodule.Quotient.addMonoid._proof_8",
      "Submodule.Quotient.addMonoid._proof_9",
      "Submodule.Quotient.completeSpace",
      "Submodule.Quotient.distribMulAction'._proof_1",
      "Submodule.Quotient.distribMulAction'._proof_2",
      "Submodule.Quotient.eq",
      "Submodule.Quotient.instSMul'._proof_2",
      "Submodule.Quotient.instZeroQuotient",
      "Submodule.Quotient.mk",
      "Submodule.Quotient.mk_eq_zero",
      "Submodule.Quotient.module",
      "Submodule.Quotient.module'._proof_3",
      "Submodule.Quotient.module'._proof_4",
      "Submodule.Quotient.mulAction'._proof_1",
      "Submodule.Quotient.mulAction'._proof_2",
      "Submodule.Quotient.norm_mk_le",
      "Submodule.Quotient.norm_mk_lt",
      "Submodule.Quotient.normedAddCommGroup._proof_1",
      "Submodule.Quotient.normedAddCommGroup._proof_2",
      "Submodule.Quotient.normedSpace",
      "Submodule.Quotient.normedSpace._proof_1",
      "Submodule.Quotient.seminormedAddCommGroup",
      "Submodule.Quotient.seminormedAddCommGroup._aux_1",
      "Submodule.Quotient.seminormedAddCommGroup._aux_11",
      "Submodule.Quotient.seminormedAddCommGroup._aux_17",
      "Submodule.Quotient.seminormedAddCommGroup._aux_3",
      "Submodule.Quotient.seminormedAddCommGroup._aux_8",
      "Submodule.Quotient.seminormedAddCommGroup._proof_10",
      "Submodule.Quotient.seminormedAddCommGroup._proof_13",
      "Submodule.Quotient.seminormedAddCommGroup._proof_14",
      "Submodule.Quotient.seminormedAddCommGroup._proof_15",
      "Submodule.Quotient.seminormedAddCommGroup._proof_16",
      "Submodule.Quotient.seminormedAddCommGroup._proof_19",
      "Submodule.Quotient.seminormedAddCommGroup._proof_20",
      "Submodule.Quotient.seminormedAddCommGroup._proof_5",
      "Submodule.Quotient.seminormedAddCommGroup._proof_6",
      "Submodule.Quotient.seminormedAddCommGroup._proof_7",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.addSubmonoidClass",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_bot_iff",
      "Submodule.eq_of_le_of_finrank_le",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.exists_le_ker_of_notMem",
      "Submodule.ext",
      "Submodule.finiteDimensional_of_le",
      "Submodule.finiteDimensional_sup",
      "Submodule.hasQuotient",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instInfSet",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.liftQ",
      "Submodule.liftQL",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_iInf",
      "Submodule.mem_inf",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_pair",
      "Submodule.mem_span_range_iff_exists_fun",
      "Submodule.mem_span_singleton",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.mkQ",
      "Submodule.mkQL",
      "Submodule.mkQ_surjective",
      "Submodule.mk_mem_projectivization_iff",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.projectivization",
      "Submodule.quotientRel",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_le",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_minimal",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "Submodule.subtypeL",
      "Submodule.sum_mem",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "SubmoduleClass.module",
      "SubmoduleClass.toNormedSpace",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.coe_injective",
      "Subtype.ext",
      "Subtype.forall",
      "Subtype.instDecidableEq",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.range_coe_subtype",
      "Subtype.val",
      "Subtype.val_injective",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "Superset",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.mk",
      "TopologicalSpace.ofClosed",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Topology.IsInducing",
      "Topology.IsInducing.closure_eq_preimage_closure_image",
      "Topology.IsInducing.piMap",
      "TotallyBounded",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "TwoSidedIdeal",
      "TwoSidedIdeal.coe_top",
      "TwoSidedIdeal.ext",
      "TwoSidedIdeal.instInfSet",
      "TwoSidedIdeal.instPartialOrder",
      "TwoSidedIdeal.instSemilatticeInf",
      "TwoSidedIdeal.instTop",
      "TwoSidedIdeal.ker",
      "TwoSidedIdeal.mem_iInf",
      "TwoSidedIdeal.mem_inf",
      "TwoSidedIdeal.mem_ker",
      "TwoSidedIdeal.mem_top",
      "TwoSidedIdeal.mul_mem_left",
      "TwoSidedIdeal.mul_mem_right",
      "TwoSidedIdeal.ringCon",
      "TwoSidedIdeal.setLike",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.mk",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAddGroup",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instCompleteSpace",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarAddMonoid",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "Zero",
      "Zero.mk",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_comm",
      "add_le_add",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_nonneg",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "and_congr",
      "and_congr_right",
      "and_self",
      "autoParam",
      "binderNameHint",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_add",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "cfcₙ_zero",
      "ciInf_le",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_minimal",
      "closure_singleton",
      "commute_iff_eq",
      "compactOperator",
      "compl_compl",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_apply",
      "continuous_const",
      "continuous_finset_sum",
      "continuous_id",
      "continuous_id'",
      "continuous_iff_isClosed",
      "continuous_norm",
      "continuous_pi",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "convex_singleton",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_self",
      "dist_zero_right",
      "dite",
      "dite_cond_eq_true",
      "div_eq_mul_inv",
      "div_le_iff₀",
      "div_le_one",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_pow",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "exists_pair_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "forall_congr'",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_lt_self",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "iInf",
      "iInf_le",
      "iSupIndep",
      "iSupIndep_map_orderIso_iff",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_le_left",
      "inf_le_right",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_eq_zero",
      "inner_self_ne_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_sum",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqProd",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDecidableOr",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFintypeOption",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasEquivOfSetoid",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsConcreteLE",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsEmptyFalse",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsPrincipalIdealRingOfIsSemisimpleRing",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsSemisimpleModuleOfIsSimpleModule",
      "instIsSimpleModule",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulActionNatOfAddMonoid",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNatCastInt",
      "instNeZeroNatHAdd_1",
      "instNonUnitalAlgHomClassOfNonUnitalAlgEquivClass",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instNonemptyProd",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT2SpaceSubtype",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransIff",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "inv_smul_smul₀",
      "isClosed_biInter",
      "isClosed_eq",
      "isClosed_setOf_isCompactOperator",
      "isClosed_univ",
      "isCompactOperator_of_locallyCompactSpace_dom",
      "isCompactOperator_zero",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isNoetherian_of_isNoetherianRing_of_finite",
      "isOpen_Ioi",
      "isOpen_pi_iff",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_iInf",
      "le_max_left",
      "le_max_right",
      "le_min",
      "le_of_eq",
      "le_of_forall_pos_le_add",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "locallyCompact_of_proper",
      "lowerBounds",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_lt",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_div₀",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_closure_iff",
      "mem_extremePoints_iff_left",
      "min_eq_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mt",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_le_of_le_one_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_add_eq_zero",
      "neg_apply",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_one_smul",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_div",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_or",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "openSegment_symm",
      "optParam",
      "or_comm",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_div₀",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "subsingleton_or_nontrivial",
      "sum_apply",
      "sum_inner",
      "sum_mem",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "trivial",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "uniformity",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.exists_faithful_normalPart_transport": [
      "Add.mk",
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.mk",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.mk",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.mk",
      "AddMonoid.nsmul_succ._autoParam",
      "AddMonoid.nsmul_zero._autoParam",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.isometry_of_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.mk",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bornology.cobounded",
      "Bornology.mk",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.instNonnegSpectrumClass'",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.closure_top",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.isClosed_iff",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "Compl.compl",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.exists_norm_eq_mul_self",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instCompleteSpace",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_I",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "ConditionallyCompleteLattice.toLattice",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.map_zero",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.mul",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Disjoint",
      "Dist.dist",
      "Dist.mk",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.mk",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "ENNReal.ofReal",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.subset",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Equiv",
      "Equiv.apply_symm_apply",
      "Equiv.injective",
      "Equiv.instEquivLike",
      "Equiv.invFun",
      "Equiv.left_inv",
      "Equiv.mk",
      "Equiv.ofBijective",
      "Equiv.refl",
      "Equiv.right_inv",
      "Equiv.surjective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "Equiv.toFun",
      "Equiv.trans",
      "EquivLike.toFunLike",
      "Equivalence.refl",
      "Equivalence.symm",
      "Equivalence.trans",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.instIsLocalRing",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.cofinite",
      "Filter.comap",
      "Filter.instInfSet",
      "Filter.instPartialOrder",
      "Filter.lift'",
      "Filter.mp_mem",
      "Filter.principal",
      "Filter.sets",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.card",
      "Finset.decidableMem",
      "Finset.instSetLike",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Bijective",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.LeftInverse",
      "Function.RightInverse",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasQuotient.Quotient",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Iff.symm",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.mul",
      "Int.negOfNat",
      "Int.negSucc",
      "Int.ofNat",
      "Int.rawCast",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.inter",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.of_isClosed_subset",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsEmpty.mk",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsLocalRing.toNontrivial",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.cfcₙ",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.mk",
      "LinearEquiv.refl",
      "LinearEquiv.surjective",
      "LinearEquiv.toLinearMap",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.mk",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.refl",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.trans",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.ker",
      "LinearMap.ker_zero",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "LinearOrderedSemiField.toDenselyOrdered",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "MetricSpace",
      "MetricSpace.mk",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.complexToReal",
      "Module.finrank",
      "Module.mk",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "Mul.mk",
      "MulAction.mk",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.ofNat_pos._simp_1",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.mk",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.norm_quasispectrum_le",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.left_distrib",
      "NonUnitalNonAssocRing.mk",
      "NonUnitalNonAssocRing.mul_zero",
      "NonUnitalNonAssocRing.right_distrib",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toMul",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.zero_mul",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.mk",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing",
      "NonUnitalRing.mk",
      "NonUnitalRing.mul_assoc",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.codRestrict",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mem_range",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.range",
      "NonUnitalStarAlgHom.rangeRestrict",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.toAddSubmonoidClass",
      "NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring",
      "Nonempty",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "NonnegSpectrumClass.quasispectrum_nonneg_of_nonneg",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.mk",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.dist_eq",
      "NormedAddCommGroup.dist_eq._autoParam",
      "NormedAddCommGroup.mk",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.mk",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Order.Frame.toHeytingAlgebra",
      "OrderBot.toBot",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "PUnit.fintype",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.algebra",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.swap",
      "Prod.toNorm",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.cobounded_sets._autoParam",
      "PseudoMetricSpace.edist_dist._autoParam",
      "PseudoMetricSpace.mk",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "PseudoMetricSpace.uniformity_dist._autoParam",
      "Quotient",
      "Quotient.inductionOn",
      "Quotient.map'",
      "Quotient.mk",
      "Quotient.mk'",
      "Quotient.mk''",
      "QuotientModule.Quotient.topologicalSpace",
      "QuotientModule.Quotient.topologicalSpace._proof_1",
      "QuotientModule.Quotient.topologicalSpace._proof_2",
      "QuotientModule.Quotient.topologicalSpace._proof_3",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Real.sqrt_sq",
      "Relation.EqvGen",
      "Relation.EqvGen.rec",
      "Relation.EqvGen.refl",
      "Relation.EqvGen.rel",
      "Relation.EqvGen.setoid",
      "Relation.EqvGen.symm",
      "Relation.EqvGen.trans",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingEquiv.mk",
      "RingEquiv.toEquiv",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMul.mk",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mk",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Finite",
      "Set.Finite.insert",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.eq_empty_iff_forall_notMem",
      "Set.eq_univ_iff_forall",
      "Set.ext",
      "Set.ext_iff",
      "Set.extremePoints",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.image",
      "Set.image_congr",
      "Set.image_empty",
      "Set.image_id",
      "Set.image_id'",
      "Set.image_image",
      "Set.image_mono",
      "Set.image_pair",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.image_univ",
      "Set.instBoundedOrder",
      "Set.instCompl",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instOrderTop",
      "Set.instReflSubset",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_image",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.preimage",
      "Set.preimage_empty",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.range_eq_univ",
      "Set.sUnion",
      "Set.singleton_nonempty",
      "Set.singleton_subset_iff",
      "Set.subset_sUnion_of_mem",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.univ",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "SetRel.comp",
      "Setoid",
      "Setoid.iseqv",
      "Setoid.r",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.mk",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv",
      "StarAlgEquiv.instEquivLike",
      "StarAlgEquiv.instFunLike",
      "StarAlgEquiv.instNonUnitalAlgEquivClass",
      "StarAlgEquiv.mk",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgEquiv.toStarRingEquiv",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingEquiv.mk",
      "StarRingEquiv.toRingEquiv",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "Sub.mk",
      "SubNegMonoid.mk",
      "SubNegMonoid.sub_eq_add_neg._autoParam",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegMonoid.zsmul_neg'._autoParam",
      "SubNegMonoid.zsmul_succ'._autoParam",
      "SubNegMonoid.zsmul_zero'._autoParam",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.Quotient.addCommGroup._aux_1",
      "Submodule.Quotient.addCommGroup._aux_3",
      "Submodule.Quotient.addCommGroup._aux_6",
      "Submodule.Quotient.addCommGroup._proof_10",
      "Submodule.Quotient.addCommGroup._proof_11",
      "Submodule.Quotient.addCommGroup._proof_12",
      "Submodule.Quotient.addCommGroup._proof_5",
      "Submodule.Quotient.addCommGroup._proof_8",
      "Submodule.Quotient.addCommGroup._proof_9",
      "Submodule.Quotient.addCommMonoid",
      "Submodule.Quotient.addMonoid._aux_1",
      "Submodule.Quotient.addMonoid._aux_6",
      "Submodule.Quotient.addMonoid._proof_3",
      "Submodule.Quotient.addMonoid._proof_4",
      "Submodule.Quotient.addMonoid._proof_5",
      "Submodule.Quotient.addMonoid._proof_8",
      "Submodule.Quotient.addMonoid._proof_9",
      "Submodule.Quotient.completeSpace",
      "Submodule.Quotient.distribMulAction'._proof_1",
      "Submodule.Quotient.distribMulAction'._proof_2",
      "Submodule.Quotient.eq",
      "Submodule.Quotient.instSMul'._proof_2",
      "Submodule.Quotient.instZeroQuotient",
      "Submodule.Quotient.mk",
      "Submodule.Quotient.mk_eq_zero",
      "Submodule.Quotient.module",
      "Submodule.Quotient.module'._proof_3",
      "Submodule.Quotient.module'._proof_4",
      "Submodule.Quotient.mulAction'._proof_1",
      "Submodule.Quotient.mulAction'._proof_2",
      "Submodule.Quotient.norm_mk_le",
      "Submodule.Quotient.norm_mk_lt",
      "Submodule.Quotient.normedAddCommGroup._proof_1",
      "Submodule.Quotient.normedAddCommGroup._proof_2",
      "Submodule.Quotient.normedSpace",
      "Submodule.Quotient.normedSpace._proof_1",
      "Submodule.Quotient.seminormedAddCommGroup",
      "Submodule.Quotient.seminormedAddCommGroup._aux_1",
      "Submodule.Quotient.seminormedAddCommGroup._aux_11",
      "Submodule.Quotient.seminormedAddCommGroup._aux_17",
      "Submodule.Quotient.seminormedAddCommGroup._aux_3",
      "Submodule.Quotient.seminormedAddCommGroup._aux_8",
      "Submodule.Quotient.seminormedAddCommGroup._proof_10",
      "Submodule.Quotient.seminormedAddCommGroup._proof_13",
      "Submodule.Quotient.seminormedAddCommGroup._proof_14",
      "Submodule.Quotient.seminormedAddCommGroup._proof_15",
      "Submodule.Quotient.seminormedAddCommGroup._proof_16",
      "Submodule.Quotient.seminormedAddCommGroup._proof_19",
      "Submodule.Quotient.seminormedAddCommGroup._proof_20",
      "Submodule.Quotient.seminormedAddCommGroup._proof_5",
      "Submodule.Quotient.seminormedAddCommGroup._proof_6",
      "Submodule.Quotient.seminormedAddCommGroup._proof_7",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.ext",
      "Submodule.finiteDimensional_sup",
      "Submodule.hasQuotient",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.liftQL",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_singleton",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.mkQ",
      "Submodule.mkQL",
      "Submodule.mkQ_surjective",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.quotientRel",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_le",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtypeL",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "SubmoduleClass.module",
      "SubmoduleClass.toNormedSpace",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
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      "Sum",
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      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.mk",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.mk",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAddGroup",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instCompleteSpace",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarAddMonoid",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "Zero",
      "Zero.mk",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
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      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_comm",
      "add_le_add",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_nonneg",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "and_congr_right",
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      "autoParam",
      "binderNameHint",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_add",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "cfcₙ_zero",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_singleton",
      "commute_iff_eq",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_const",
      "continuous_id",
      "continuous_id'",
      "continuous_norm",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "convex_singleton",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
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      "dist_self",
      "dist_zero_right",
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      "div_eq_mul_inv",
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      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_pow",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "iInf",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_eq_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNatCastInt",
      "instNeZeroNatHAdd_1",
      "instNonUnitalAlgHomClassOfNonUnitalAlgEquivClass",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "inv_smul_smul₀",
      "isClosed_biInter",
      "isClosed_eq",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
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      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
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      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_max_right",
      "le_min",
      "le_of_eq",
      "le_of_forall_pos_le_add",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_extremePoints_iff_left",
      "min_eq_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mt",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_le_of_le_one_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_one_smul",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_false",
      "not_false_eq_true",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "optParam",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
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      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "uniformity",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.eq_compactOperatorStarSubalgebra_iff_of_geometricStructure_homeomorph": [
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      "AddCancelCommMonoid.toAddLeftCancelMonoid",
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.mk",
      "AddCommGroup.toAddCancelCommMonoid",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.mk",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelMonoid.toAddLeftCancelSemigroup",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.mk",
      "AddMonoid.nsmul_succ._autoParam",
      "AddMonoid.nsmul_zero._autoParam",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instAddMonoidHomClass",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.isometry_of_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup",
      "AddSemigroup.mk",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.sub",
      "AddSubgroupClass.toAddGroup._proof_6",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass",
      "AddSubmonoidClass.coe_finsetSum",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Antitone",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bornology.cobounded",
      "Bornology.mk",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "BoundedOrder.toOrderTop",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.instNonnegSpectrumClass'",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "Cardinal",
      "Cardinal.aleph0",
      "Cardinal.commSemiring",
      "Cardinal.instLE",
      "Cardinal.instNatCast",
      "Cardinal.instOne",
      "Cardinal.isOrderedRing",
      "Cardinal.lift",
      "Cardinal.lift_mk_le'",
      "Cardinal.lift_ofNat",
      "Cardinal.lift_uzero",
      "Cardinal.linearOrder",
      "Cardinal.mk",
      "Cardinal.mk_fintype",
      "Cardinal.natCast_lt_aleph0",
      "Cardinal.partialOrder",
      "Cardinal.two_le_iff_one_lt",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choice",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_forall",
      "Classical.not_imp._simp_2",
      "Classical.not_not",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.closure_top",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.isClosed_iff",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toCommMonoid",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "Compl.compl",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toBoundedOrder",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toCompleteSemilatticeSup",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteLattice.toLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSemilatticeSup.toSupSet",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.exists_norm_eq_mul_self",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instCompleteSpace",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRatCast",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_I",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_add_im",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "Con.toSetoid",
      "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
      "ConditionallyCompleteLattice.toLattice",
      "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice",
      "ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup",
      "ConditionallyCompletePartialOrderSup.toPartialOrder",
      "ConditionallyCompletePartialOrderSup.toSupSet",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.norm",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv",
      "ContinuousLinearEquiv.continuousSemilinearEquivClass",
      "ContinuousLinearEquiv.equivLike",
      "ContinuousLinearEquiv.injective",
      "ContinuousLinearEquiv.mk",
      "ContinuousLinearEquiv.symm",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearEquiv.toLinearEquiv",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.codRestrict",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.map_tsum",
      "ContinuousLinearMap.map_zero",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.opNorm_zero",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.sum_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.toSpanSingleton",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousLinearMapWOT",
      "ContinuousLinearMapWOT.continuous_dual_apply",
      "ContinuousLinearMapWOT.inducingFn",
      "ContinuousLinearMapWOT.instAddCommGroup",
      "ContinuousLinearMapWOT.instFunLike",
      "ContinuousLinearMapWOT.instModule",
      "ContinuousLinearMapWOT.instTopologicalSpace",
      "ContinuousLinearMapWOT.isInducing_inducingFn",
      "ContinuousLinearMapWOT.ofCLM",
      "ContinuousLinearMapWOT.toCLM",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.mul",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearEquivClass.continuousSemilinearMapClass",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.equalizer",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Directed",
      "Disjoint",
      "Dist.dist",
      "Dist.mk",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.mk",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.isSimpleRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRatCast",
      "DivisionRing.toRing",
      "DivisionSemiring.isPrincipalIdealRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "ENNReal.ofReal",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.subset",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Eq.trans_ne",
      "Equiv",
      "Equiv.Perm.star",
      "Equiv.apply_symm_apply",
      "Equiv.ext",
      "Equiv.injective",
      "Equiv.instEquivLike",
      "Equiv.invFun",
      "Equiv.left_inv",
      "Equiv.mk",
      "Equiv.ofBijective",
      "Equiv.prodComm",
      "Equiv.refl",
      "Equiv.right_inv",
      "Equiv.surjective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "Equiv.symm_image_image",
      "Equiv.toFun",
      "Equiv.trans",
      "EquivLike.toFunLike",
      "Equivalence",
      "Equivalence.mk",
      "Equivalence.refl",
      "Equivalence.symm",
      "Equivalence.trans",
      "EuclideanDomain.toNontrivial",
      "EuclideanDomain.to_principal_ideal_domain",
      "EuclideanSpace",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.instIsLocalRing",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toEuclideanDomain",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.cofinite",
      "Filter.comap",
      "Filter.instInfSet",
      "Filter.instPartialOrder",
      "Filter.lift'",
      "Filter.mp_mem",
      "Filter.principal",
      "Filter.sets",
      "Filter.univ_mem'",
      "Fin",
      "Fin.ext_iff",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.isLt",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.complete",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.proper_real",
      "FiniteDimensional.rclike_to_real",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.Subtype.fintype",
      "Finset.card",
      "Finset.card_singleton",
      "Finset.decidableMem",
      "Finset.induction_on",
      "Finset.instEmptyCollection",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.instSingleton",
      "Finset.mem_insert",
      "Finset.mem_insert_of_mem",
      "Finset.mem_insert_self",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.notMem_empty._simp_1",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.smul_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_comm",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_eq_zero",
      "Finset.sum_ite_eq",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.sum_smul",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Finset.univ_unique",
      "Finsupp",
      "Finsupp.ext",
      "Finsupp.instAdd",
      "Finsupp.instAddCommGroup",
      "Finsupp.instAddCommMonoid",
      "Finsupp.instFunLike",
      "Finsupp.instSub",
      "Finsupp.instZero",
      "Finsupp.linearCombination",
      "Finsupp.mapRange",
      "Finsupp.mapRange.congr_simp",
      "Finsupp.mapRange_mapRange",
      "Finsupp.mapRange_mapRange._proof_1",
      "Finsupp.mem_support_iff",
      "Finsupp.module",
      "Finsupp.single",
      "Finsupp.single_eq_of_ne",
      "Finsupp.single_eq_same",
      "Finsupp.single_sub",
      "Finsupp.smulZeroClass",
      "Finsupp.smul_single",
      "Finsupp.support",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "Fintype.sum_option",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Bijective",
      "Function.Embedding",
      "Function.Embedding.injective",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.Injective.ne",
      "Function.Involutive",
      "Function.LeftInverse",
      "Function.RightInverse",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "Function.hasSMul",
      "Function.instFunLikeEmbedding",
      "Function.update",
      "Function.update_of_ne",
      "Function.update_self",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasEquiv.Equiv",
      "HasQuotient.Quotient",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.antisymm",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Homeomorph",
      "Homeomorph.mk",
      "Homeomorph.toEquiv",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.of_eq",
      "Iff.rfl",
      "Iff.symm",
      "Iff.trans",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rankOne_comp_rankOne",
      "InnerProductSpace.rankOne_def'",
      "InnerProductSpace.rankOne_ne_zero",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toDual",
      "InnerProductSpace.toDual_symm_apply",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.add_one_le_of_lt",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instLEInt",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.instSub",
      "Int.mul",
      "Int.natCast_add",
      "Int.natCast_nonneg",
      "Int.negOfNat",
      "Int.negSucc",
      "Int.ofNat",
      "Int.rawCast",
      "Int.sub_nonneg_of_le",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsCancelMulZero.toIsRightCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.completeSpace_coe",
      "IsClosed.inter",
      "IsClosed.isOpen_compl",
      "IsClosed.mem_of_tendsto",
      "IsClosed.mk",
      "IsClosed.preimage",
      "IsCoatom",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.inter_right",
      "IsCompact.nonempty_iInter_of_directed_nonempty_isCompact_isClosed",
      "IsCompact.of_isClosed_subset",
      "IsCompact.totallyBounded",
      "IsCompactOperator",
      "IsCompactOperator.add",
      "IsCompactOperator.clm_comp",
      "IsCompactOperator.comp_clm",
      "IsCompactOperator.image_closedBall_subset_compact",
      "IsCompactOperator.smul",
      "IsConcreteLE",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsEmpty.forall_iff._simp_1",
      "IsEmpty.mk",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsLocalRing.toNontrivial",
      "IsModuleTopology.toContinuousSMul",
      "IsNoetherianRing.strongRankCondition",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.cfcₙ",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsSimpleRing.instNontrivial",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsTopologicalSemiring.toIsModuleTopology",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_eq",
      "LE.le.trans_lt",
      "LE.mk",
      "LT.lt",
      "LT.lt.false",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "LT.mk",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Lean.Omega.Coeffs.ofList",
      "Lean.Omega.Constraint.addInequality_sat",
      "Lean.Omega.Constraint.combine_sat'",
      "Lean.Omega.Constraint.isImpossible",
      "Lean.Omega.Constraint.mk",
      "Lean.Omega.Constraint.not_sat'_of_isImpossible",
      "Lean.Omega.Int.add_congr",
      "Lean.Omega.Int.ofNat_le_of_le",
      "Lean.Omega.Int.ofNat_lt_of_lt",
      "Lean.Omega.Int.sub_congr",
      "Lean.Omega.LinearCombo",
      "Lean.Omega.LinearCombo.add_eval",
      "Lean.Omega.LinearCombo.coordinate",
      "Lean.Omega.LinearCombo.coordinate_eval_0",
      "Lean.Omega.LinearCombo.coordinate_eval_1",
      "Lean.Omega.LinearCombo.coordinate_eval_2",
      "Lean.Omega.LinearCombo.eval",
      "Lean.Omega.LinearCombo.instAdd",
      "Lean.Omega.LinearCombo.instSub",
      "Lean.Omega.LinearCombo.mk",
      "Lean.Omega.LinearCombo.sub_eval",
      "Lean.Omega.combo_sat'",
      "Lean.Omega.tidy_sat",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.apply_symm_apply",
      "LinearEquiv.continuous_symm",
      "LinearEquiv.injective",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.instSemilinearEquivClass",
      "LinearEquiv.map_add",
      "LinearEquiv.map_smul",
      "LinearEquiv.map_smulₛₗ",
      "LinearEquiv.mk",
      "LinearEquiv.refl",
      "LinearEquiv.surjective",
      "LinearEquiv.symm",
      "LinearEquiv.symm_apply_apply",
      "LinearEquiv.toContinuousLinearEquivOfContinuous",
      "LinearEquiv.toEquiv",
      "LinearEquiv.toLinearMap",
      "LinearIndependent",
      "LinearIndependent.eq_of_pair",
      "LinearIndependent.pair_iff'",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometry.isometry",
      "LinearIsometry.toLinearMap",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.mk",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.refl",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.trans",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.coe_sum",
      "LinearMap.comp",
      "LinearMap.congr_fun",
      "LinearMap.continuous_iff_isClosed_ker",
      "LinearMap.continuous_of_seq_closed_graph",
      "LinearMap.exists_extend",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.finiteDimensional_range",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.isCoatom_ker_of_surjective",
      "LinearMap.isometryOfInner",
      "LinearMap.ker",
      "LinearMap.ker_pi",
      "LinearMap.ker_zero",
      "LinearMap.map_smulₛₗ",
      "LinearMap.mem_ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.pi",
      "LinearMap.quotKerEquivRange",
      "LinearMap.quotKerEquivRange_symm_apply_image",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.sum_apply",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toDecidableLT",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "LinearOrderedSemiField.toDenselyOrdered",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_eq_false",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_eq_true",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.natCast_nonneg",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Push.not_forall_eq",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.atom_pf'",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Matrix.cons_val_fin_one",
      "Matrix.of",
      "Matrix.vecCons",
      "Matrix.vecEmpty",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.continuous_iff",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.isOpen_iff",
      "Metric.mem_ball",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "Metric.totallyBounded_iff",
      "MetricSpace",
      "MetricSpace.mk",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.Basis",
      "Module.Basis.coord",
      "Module.Basis.instFunLike",
      "Module.Basis.linearIndependent",
      "Module.Basis.mem_span_image",
      "Module.Basis.mk",
      "Module.Basis.mk_apply",
      "Module.Basis.ne_zero",
      "Module.Basis.repr",
      "Module.Basis.repr_linearCombination",
      "Module.Basis.repr_self",
      "Module.Basis.repr_symm_apply",
      "Module.Basis.span_eq",
      "Module.Basis.unitsSMul",
      "Module.Basis.unitsSMul_apply",
      "Module.Finite",
      "Module.Finite.of_basis",
      "Module.Finite.of_surjective",
      "Module.Finite.top",
      "Module.Free.ChooseBasisIndex",
      "Module.Free.chooseBasis",
      "Module.Free.of_divisionRing",
      "Module.Free.rank_eq_card_chooseBasisIndex",
      "Module.complexToReal",
      "Module.finBasis",
      "Module.finrank",
      "Module.finrank_eq_card_basis",
      "Module.mk",
      "Module.rank",
      "Module.rank_lt_aleph0_iff",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "Mul.mk",
      "MulAction",
      "MulAction.mk",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionSemiHomClass.map_smulₛₗ",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.below",
      "Nat.ble",
      "Nat.brecOn",
      "Nat.casesOn",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_add._simp_1",
      "Nat.cast_inj._simp_1",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.decLt",
      "Nat.decidableBallLT",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instLinearOrder",
      "Nat.instMax",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_induction",
      "Nat.le_of_lt",
      "Nat.le_of_not_lt",
      "Nat.le_refl",
      "Nat.lt_or_gt_of_ne",
      "Nat.lt_succ_self",
      "Nat.mul",
      "Nat.ofNat_pos._simp_1",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.mk",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.norm_quasispectrum_le",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing",
      "NonUnitalNonAssocRing.left_distrib",
      "NonUnitalNonAssocRing.mk",
      "NonUnitalNonAssocRing.mul_zero",
      "NonUnitalNonAssocRing.right_distrib",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toMul",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.zero_mul",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.mk",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing",
      "NonUnitalRing.mk",
      "NonUnitalRing.mul_assoc",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.codRestrict",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mem_range",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.range",
      "NonUnitalStarAlgHom.rangeRestrict",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarAlgebra.instCompleteLatticeNonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.ext",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instPartialOrder",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.mk",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring._proof_1",
      "NonUnitalStarSubalgebra.toNonUnitalSubalgebra",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebra.mk",
      "NonUnitalSubalgebra.toSubmodule",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiring.mk",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.toAddSubmonoidClass",
      "NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring",
      "Nonempty",
      "Nonempty.casesOn",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "NonnegSpectrumClass.quasispectrum_nonneg_of_nonneg",
      "Nontrivial",
      "Nontrivial.mk",
      "Nontrivial.to_nonempty",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.mk",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.dist_eq",
      "NormedAddCommGroup.dist_eq._autoParam",
      "NormedAddCommGroup.mk",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.mk",
      "NormedSpace.norm_normalize",
      "NormedSpace.normalize",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Option",
      "Option.elim'",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Or.resolve_right",
      "Order.Frame.toHeytingAlgebra",
      "Order.IsIdeal.Directed",
      "Order.IsIdeal.IsLowerSet",
      "Order.IsIdeal.Nonempty",
      "Order.IsPFilter",
      "Order.IsPFilter.of_def",
      "OrderBot.toBot",
      "OrderDual",
      "OrderDual.instLE",
      "OrderDual.ofDual",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderIso.apply_symm_apply",
      "OrderIso.injective",
      "OrderIso.map_iSup",
      "OrderIso.map_sup",
      "OrderIso.map_top",
      "OrderIso.monotone",
      "OrderIso.symm",
      "OrderIso.symm_apply_apply",
      "OrderIso.trans",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.repr",
      "OrthonormalBasis.repr_apply_apply",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "OrthonormalBasis.sum_repr",
      "OrthonormalBasis.sum_repr'",
      "PUnit.fintype",
      "PUnit.instUnique",
      "PUnit.unit",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.Function.module",
      "Pi.addCommGroup",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instSMul",
      "Pi.instSub",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_apply",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "Pi.topologicalSpace",
      "PiLp.innerProductSpace._proof_1",
      "PiLp.seminormedAddCommGroup",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder",
      "Preorder.mk",
      "Preorder.toLE",
      "Preorder.toLT",
      "PrincipalIdealRing.isNoetherianRing",
      "Prod",
      "Prod.algebra",
      "Prod.casesOn",
      "Prod.ext",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.swap",
      "Prod.swap_swap",
      "Prod.toNorm",
      "Projectivization",
      "Projectivization.Independent",
      "Projectivization.Independent.mk",
      "Projectivization.Subspace",
      "Projectivization.Subspace.instCompleteLattice",
      "Projectivization.Subspace.instPartialOrder",
      "Projectivization.Subspace.instSetLike",
      "Projectivization.Subspace.mem_add",
      "Projectivization.Subspace.mem_submodule_iff",
      "Projectivization.Subspace.mk",
      "Projectivization.Subspace.span",
      "Projectivization.Subspace.spanCarrier",
      "Projectivization.Subspace.spanCarrier.rec",
      "Projectivization.Subspace.span_coe",
      "Projectivization.Subspace.span_le_span",
      "Projectivization.Subspace.span_le_subspace_iff",
      "Projectivization.Subspace.submodule",
      "Projectivization.Subspace.subset_span",
      "Projectivization.independent_iff",
      "Projectivization.independent_iff_iSupIndep",
      "Projectivization.instNonemptyOfNontrivial",
      "Projectivization.mk",
      "Projectivization.mk.congr_simp",
      "Projectivization.mk_eq_mk_iff'",
      "Projectivization.mk_rep",
      "Projectivization.rep",
      "Projectivization.rep_nonzero",
      "Projectivization.submodule",
      "Projectivization.submodule_eq",
      "Projectivization.submodule_injective",
      "Projectivization.submodule_mk",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.cobounded_sets._autoParam",
      "PseudoMetricSpace.edist_dist._autoParam",
      "PseudoMetricSpace.mk",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "PseudoMetricSpace.uniformity_dist._autoParam",
      "Quotient",
      "Quotient.eq",
      "Quotient.inductionOn",
      "Quotient.inductionOn₂",
      "Quotient.lift",
      "Quotient.map'",
      "Quotient.mk",
      "Quotient.mk'",
      "Quotient.mk''",
      "Quotient.sound",
      "QuotientModule.Quotient.topologicalSpace",
      "QuotientModule.Quotient.topologicalSpace._proof_1",
      "QuotientModule.Quotient.topologicalSpace._proof_2",
      "QuotientModule.Quotient.topologicalSpace._proof_3",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instCStarRing",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_natCast",
      "RCLike.norm_ofReal",
      "RCLike.norm_sq_eq_def",
      "RCLike.ofReal",
      "RCLike.one_im",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toCompleteSpace",
      "RCLike.toDecidableEq",
      "RCLike.toDenselyNormedField",
      "RCLike.toInnerProductSpaceReal",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.cast",
      "Rat.cast_zero",
      "Rat.commSemiring",
      "Rat.denseRange_cast",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.instOfNat",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instConditionallyCompleteLinearOrder",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInfSet",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.norm_ofNat",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Real.sqrt_sq",
      "RelIso.mk",
      "RelIso.toEquiv",
      "Relation.EqvGen",
      "Relation.EqvGen.rec",
      "Relation.EqvGen.refl",
      "Relation.EqvGen.rel",
      "Relation.EqvGen.setoid",
      "Relation.EqvGen.symm",
      "Relation.EqvGen.trans",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingCon.toCon",
      "RingEquiv",
      "RingEquiv.apply_symm_apply",
      "RingEquiv.ext",
      "RingEquiv.injective",
      "RingEquiv.instEquivLike",
      "RingEquiv.instRingEquivClass",
      "RingEquiv.map_mul",
      "RingEquiv.map_zero",
      "RingEquiv.mk",
      "RingEquiv.refl",
      "RingEquiv.surjective",
      "RingEquiv.symm",
      "RingEquiv.symm_apply_apply",
      "RingEquiv.toEquiv",
      "RingEquiv.toRingHom",
      "RingEquivClass.toNonUnitalRingHomClass",
      "RingEquivClass.toRingHomClass",
      "RingHom",
      "RingHom.ext",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toLinearMapClassNNRat",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomClass.toRingHom",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomCompTriple.right_ids",
      "RingHomInvPair",
      "RingHomInvPair.comp_apply_eq",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.of_ringEquiv",
      "RingHomInvPair.of_ringEquiv_symm",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomIsometric.starRingEnd",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMul.mk",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulCommClass.smul_comm",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulMemClass.smul_mem",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "SProd.sprod",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mk",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearEquivClass.instSemilinearMapClass",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Finite",
      "Set.Finite.fintype",
      "Set.Finite.image",
      "Set.Finite.insert",
      "Set.Finite.union",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Nonempty.to_subtype",
      "Set.Pairwise",
      "Set.Subset.antisymm",
      "Set.Subset.rfl",
      "Set.Subset.trans",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.empty_subset",
      "Set.eq_empty_iff_forall_notMem",
      "Set.eq_univ_iff_forall",
      "Set.ext",
      "Set.ext_iff",
      "Set.extremePoints",
      "Set.finite_range",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.iUnion",
      "Set.image",
      "Set.image_congr",
      "Set.image_empty",
      "Set.image_id",
      "Set.image_id'",
      "Set.image_image",
      "Set.image_mono",
      "Set.image_pair",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.image_union",
      "Set.image_univ",
      "Set.instAntisymmSubset",
      "Set.instBooleanAlgebra",
      "Set.instBoundedOrder",
      "Set.instCompl",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instOrderTop",
      "Set.instReflSubset",
      "Set.instSProd",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_compl_iff",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_iUnion₂",
      "Set.mem_image",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_range_self",
      "Set.mem_sInter",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_union",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.not_nonempty_iff_eq_empty",
      "Set.pairwise_singleton",
      "Set.pi",
      "Set.preimage",
      "Set.preimage_empty",
      "Set.preimage_union",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.range_eq_univ",
      "Set.sInter",
      "Set.sInter_subset_of_mem",
      "Set.sUnion",
      "Set.singleton_nonempty",
      "Set.singleton_subset_iff",
      "Set.subset_sUnion_of_mem",
      "Set.subset_union_left",
      "Set.subset_union_right",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.union_subset",
      "Set.univ",
      "SetLike",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.ext",
      "SetLike.instMembership",
      "SetLike.le_def",
      "SetLike.mem_coe",
      "SetRel.comp",
      "Setoid",
      "Setoid.iseqv",
      "Setoid.mk",
      "Setoid.r",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.mk",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv",
      "StarAlgEquiv.instEquivLike",
      "StarAlgEquiv.instFunLike",
      "StarAlgEquiv.instNonUnitalAlgEquivClass",
      "StarAlgEquiv.mk",
      "StarAlgEquiv.symm",
      "StarAlgEquiv.symm_apply_apply",
      "StarAlgEquiv.toNonUnitalStarAlgHom",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgEquiv.toStarRingEquiv",
      "StarAlgEquiv.trans",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.instStarRing",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingEquiv.mk",
      "StarRingEquiv.toRingEquiv",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "Sub.mk",
      "SubNegMonoid.mk",
      "SubNegMonoid.sub_eq_add_neg._autoParam",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegMonoid.zsmul_neg'._autoParam",
      "SubNegMonoid.zsmul_succ'._autoParam",
      "SubNegMonoid.zsmul_zero'._autoParam",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.Quotient.addCommGroup._aux_1",
      "Submodule.Quotient.addCommGroup._aux_3",
      "Submodule.Quotient.addCommGroup._aux_6",
      "Submodule.Quotient.addCommGroup._proof_10",
      "Submodule.Quotient.addCommGroup._proof_11",
      "Submodule.Quotient.addCommGroup._proof_12",
      "Submodule.Quotient.addCommGroup._proof_5",
      "Submodule.Quotient.addCommGroup._proof_8",
      "Submodule.Quotient.addCommGroup._proof_9",
      "Submodule.Quotient.addCommMonoid",
      "Submodule.Quotient.addMonoid._aux_1",
      "Submodule.Quotient.addMonoid._aux_6",
      "Submodule.Quotient.addMonoid._proof_3",
      "Submodule.Quotient.addMonoid._proof_4",
      "Submodule.Quotient.addMonoid._proof_5",
      "Submodule.Quotient.addMonoid._proof_8",
      "Submodule.Quotient.addMonoid._proof_9",
      "Submodule.Quotient.completeSpace",
      "Submodule.Quotient.distribMulAction'._proof_1",
      "Submodule.Quotient.distribMulAction'._proof_2",
      "Submodule.Quotient.eq",
      "Submodule.Quotient.instSMul'._proof_2",
      "Submodule.Quotient.instZeroQuotient",
      "Submodule.Quotient.mk",
      "Submodule.Quotient.mk_eq_zero",
      "Submodule.Quotient.module",
      "Submodule.Quotient.module'._proof_3",
      "Submodule.Quotient.module'._proof_4",
      "Submodule.Quotient.mulAction'._proof_1",
      "Submodule.Quotient.mulAction'._proof_2",
      "Submodule.Quotient.norm_mk_le",
      "Submodule.Quotient.norm_mk_lt",
      "Submodule.Quotient.normedAddCommGroup._proof_1",
      "Submodule.Quotient.normedAddCommGroup._proof_2",
      "Submodule.Quotient.normedSpace",
      "Submodule.Quotient.normedSpace._proof_1",
      "Submodule.Quotient.seminormedAddCommGroup",
      "Submodule.Quotient.seminormedAddCommGroup._aux_1",
      "Submodule.Quotient.seminormedAddCommGroup._aux_11",
      "Submodule.Quotient.seminormedAddCommGroup._aux_17",
      "Submodule.Quotient.seminormedAddCommGroup._aux_3",
      "Submodule.Quotient.seminormedAddCommGroup._aux_8",
      "Submodule.Quotient.seminormedAddCommGroup._proof_10",
      "Submodule.Quotient.seminormedAddCommGroup._proof_13",
      "Submodule.Quotient.seminormedAddCommGroup._proof_14",
      "Submodule.Quotient.seminormedAddCommGroup._proof_15",
      "Submodule.Quotient.seminormedAddCommGroup._proof_16",
      "Submodule.Quotient.seminormedAddCommGroup._proof_19",
      "Submodule.Quotient.seminormedAddCommGroup._proof_20",
      "Submodule.Quotient.seminormedAddCommGroup._proof_5",
      "Submodule.Quotient.seminormedAddCommGroup._proof_6",
      "Submodule.Quotient.seminormedAddCommGroup._proof_7",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.addSubgroupClass",
      "Submodule.addSubmonoidClass",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_bot_iff",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.exists_le_ker_of_notMem",
      "Submodule.ext",
      "Submodule.finiteDimensional_of_le",
      "Submodule.finiteDimensional_sup",
      "Submodule.hasQuotient",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instInfSet",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.liftQ",
      "Submodule.liftQL",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_iInf",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_pair",
      "Submodule.mem_span_range_iff_exists_fun",
      "Submodule.mem_span_singleton",
      "Submodule.mem_span_singleton_self",
      "Submodule.mem_sup",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.mkQ",
      "Submodule.mkQL",
      "Submodule.mkQ_surjective",
      "Submodule.mk_mem_projectivization_iff",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.projectivization",
      "Submodule.quotEquivOfEq",
      "Submodule.quotientRel",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_eq_iSup_of_singleton_spans",
      "Submodule.span_le",
      "Submodule.span_singleton_le_iff_mem",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_minimal",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_mem",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "Submodule.subtypeL",
      "Submodule.sum_mem",
      "Submodule.topEquiv",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submodule.zero_mem",
      "SubmoduleClass.module",
      "SubmoduleClass.toNormedSpace",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.forall",
      "Subtype.instDecidableEq",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.range_coe_subtype",
      "Subtype.val",
      "Subtype.val_injective",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.mul_right",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "Superset",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.mk",
      "TopologicalSpace.ofClosed",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Topology.IsInducing",
      "Topology.IsInducing.closure_eq_preimage_closure_image",
      "Topology.IsInducing.piMap",
      "TotallyBounded",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "TwoSidedIdeal",
      "TwoSidedIdeal.coe_top",
      "TwoSidedIdeal.ext",
      "TwoSidedIdeal.instInfSet",
      "TwoSidedIdeal.instPartialOrder",
      "TwoSidedIdeal.instSemilatticeInf",
      "TwoSidedIdeal.instTop",
      "TwoSidedIdeal.ker",
      "TwoSidedIdeal.mem_iInf",
      "TwoSidedIdeal.mem_inf",
      "TwoSidedIdeal.mem_ker",
      "TwoSidedIdeal.mem_top",
      "TwoSidedIdeal.mul_mem_left",
      "TwoSidedIdeal.mul_mem_right",
      "TwoSidedIdeal.ringCon",
      "TwoSidedIdeal.setLike",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.mk",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAddGroup",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instCompleteSpace",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarAddMonoid",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "Units",
      "Units.instMonoid",
      "Units.instMulAction",
      "Units.instOne",
      "Units.instSMul",
      "Units.mk0",
      "Units.val",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "WithLp.instModule",
      "WithLp.ofLp",
      "Zero",
      "Zero.mk",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.coe_eq_zero._simp_1",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_assoc",
      "add_comm",
      "add_le_add",
      "add_left_cancel",
      "add_left_comm",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_neg_cancel_comm_assoc",
      "add_nonneg",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_cancel",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_inj._simp_1",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "algebraMap.coe_zero",
      "and_congr",
      "and_congr_right",
      "and_self",
      "autoParam",
      "binderNameHint",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_add",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "cfcₙ_zero",
      "ciInf_le",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_minimal",
      "closure_singleton",
      "commRing_strongRankCondition",
      "commute_iff_eq",
      "compactOperator",
      "compl_compl",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_apply",
      "continuous_const",
      "continuous_finset_sum",
      "continuous_id",
      "continuous_id'",
      "continuous_iff_isClosed",
      "continuous_norm",
      "continuous_pi",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "convex_singleton",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_nonneg",
      "dist_self",
      "dist_zero_right",
      "dite",
      "dite_cond_eq_false",
      "dite_cond_eq_true",
      "div_eq_mul_inv",
      "div_le_iff₀",
      "div_le_one",
      "div_lt_iff₀",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_pow",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_sub_iff_add_eq",
      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_nat_gt",
      "exists_ne",
      "exists_pair_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "forall_const",
      "forall_eq",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_lt_self",
      "half_lt_self_iff._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "iInf",
      "iSup",
      "iSupIndep",
      "iSupIndep_map_orderIso_iff",
      "iSup_congr_Prop",
      "iSup_image",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_le_left",
      "inf_le_right",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_eq_zero_symm",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_eq_zero",
      "inner_self_ne_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_sum",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqProd",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDecidableOr",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instDistribSMul",
      "instFaithfulSMul_1",
      "instFintypeOption",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasEquivOfSetoid",
      "instHasSolidNormReal",
      "instHasSummableGeomSeries",
      "instInhabitedNat",
      "instInhabitedPUnit",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsConcreteLE",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsEmptyFalse",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsSimpleModule",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulActionNatOfAddMonoid",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNatCastInt",
      "instNeZeroNatHAdd_1",
      "instNonUnitalAlgHomClassOfNonUnitalAlgEquivClass",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instNonemptyProd",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT2SpaceSubtype",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransIff",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "inv_smul_smul₀",
      "isClosed_biInter",
      "isClosed_closure",
      "isClosed_eq",
      "isClosed_setOf_isCompactOperator",
      "isClosed_univ",
      "isCompactOperator_of_locallyCompactSpace_dom",
      "isCompactOperator_zero",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isOpen_pi_iff",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_max_right",
      "le_min",
      "le_of_eq",
      "le_of_forall_pos_le_add",
      "le_of_le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "locallyCompact_of_proper",
      "lowerBounds",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_div_iff₀",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_lt",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
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      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "lt_trans",
      "map_add",
      "map_div₀",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_natCast",
      "map_neg",
      "map_one",
      "map_pow",
      "map_ratCast",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_closure_iff",
      "mem_extremePoints_iff_left",
      "min_eq_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mt",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_le_of_le_one_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_right_cancel₀",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
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      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_add_eq_zero",
      "neg_add_rev",
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      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_one_smul",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_div",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_exists",
      "not_false",
      "not_false_eq_true",
      "not_le_of_gt",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_or",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_false",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "openSegment_symm",
      "optParam",
      "or_comm",
      "or_self",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "rank_le_one_iff",
      "rank_submodule_le_one_iff'",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_ne_zero",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingAut",
      "starRingEnd",
      "star_div₀",
      "star_eq_zero",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_sum",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "subset_closure",
      "subsingleton_or_nontrivial",
      "sum_apply",
      "sum_inner",
      "sum_mem",
      "summable_geometric_of_norm_lt_one",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_le",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_iff_dist_tendsto_zero",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "trivial",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_ite_eq",
      "tsum_star",
      "two_mul",
      "two_smul",
      "uniformity",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.exists_isCompactlyRepresented_iff": [
      "Add.mk",
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.mk",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.mk",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid",
      "AddMonoid.mk",
      "AddMonoid.nsmul_succ._autoParam",
      "AddMonoid.nsmul_zero._autoParam",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.isometry_of_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.mk",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.sub",
      "AddSubgroupClass.toAddGroup._proof_6",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass",
      "AddSubmonoidClass.toAddMonoid._proof_6",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "BddAbove",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bornology.cobounded",
      "Bornology.mk",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.spectrum_zero_eq",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.instNonnegSpectrumClass'",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.mul_apply",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.mul_star_self_eq_zero_iff",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "CauchyFilter",
      "CauchyFilter.instUniformSpace",
      "CauchyFilter.pureCauchy",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choice",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_imp._simp_2",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.isClosed_iff",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toCommMonoid",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "Compl.compl",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toBoundedOrder",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSpace",
      "CompletelyNormalSpace.toNormalSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.exists_norm_eq_mul_self",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instCompleteSpace",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instProperSpace",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_I",
      "Complex.norm_div",
      "Complex.norm_ofNat",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.orderClosedTopology",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "Complex.zero_re",
      "Con.toSetoid",
      "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
      "ConditionallyCompleteLattice.toLattice",
      "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice",
      "ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup",
      "ConditionallyCompletePartialOrderSup.toPartialOrder",
      "ConditionallyCompletePartialOrderSup.toSupSet",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.comp'",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.norm",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.symm",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.codRestrict",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.eq_zero_of_forall_hasEigenvalue_eq_zero",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.finite_dimensional_eigenspace",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.sum_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.toSpanSingleton",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.mul",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSMul.continuousConstSMul",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "ContinuousStar.continuous_star",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "DFunLike.ext",
      "Decidable",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "Dense",
      "Dense.closure_eq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenseRange.induction_on₂",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "DiscreteTopology",
      "Disjoint",
      "Dist.dist",
      "Dist.mk",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction",
      "DistribMulAction.mk",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom",
      "DistribMulActionHom.map_add'",
      "DistribMulActionHom.mk",
      "DistribMulActionHom.toMulActionHom",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instIsCountablyGeneratedUniformity",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "ENNReal.ofReal",
      "ENNReal.top_ne_zero._simp_1",
      "ENat",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Equiv",
      "Equiv.instEquivLike",
      "Equiv.mk",
      "Equiv.ofBijective",
      "Equiv.piCongrLeft'",
      "Equiv.piCongrLeft_apply_apply",
      "Equiv.refl",
      "Equiv.surjective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "Equiv.toFun",
      "EquivLike.toFunLike",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "ExistsUnique",
      "False",
      "False.elim",
      "Field",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.neBot",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsApproximateUnit.tendsto_mul_right",
      "Filter.IsIncreasingApproximateUnit",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.smul",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.cofinite",
      "Filter.comap",
      "Filter.instInfSet",
      "Filter.instMembership",
      "Filter.instPartialOrder",
      "Filter.lift'",
      "Filter.mp_mem",
      "Filter.principal",
      "Filter.sets",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.complete",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.proper_real",
      "FiniteDimensional.rclike_to_real",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.card",
      "Finset.decidableMem",
      "Finset.decidableMem'",
      "Finset.finite_toSet",
      "Finset.induction",
      "Finset.instEmptyCollection",
      "Finset.instHasSubset",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.instSingleton",
      "Finset.instUnion",
      "Finset.le_sup",
      "Finset.mem_singleton._simp_1",
      "Finset.mem_union_left",
      "Finset.mem_union_right",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.smul_sum",
      "Finset.subset_union_left",
      "Finset.subset_union_right",
      "Finset.sum",
      "Finset.sum_add_distrib",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_eq_single",
      "Finset.sum_eq_zero",
      "Finset.sum_insert",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_mul",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.sum_singleton",
      "Finset.sum_subset",
      "Finset.sup",
      "Finset.sup_empty",
      "Finset.sup_insert",
      "Finset.sup_le",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Bijective",
      "Function.Injective",
      "Function.Injective.comp",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.comp",
      "Function.hasSMul",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasQuotient.Quotient",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Ideal.instIsTorsionFreeSubtypeMemSubmodule",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Iff.symm",
      "Iff.trans",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rankOne_comp_rankOne",
      "InnerProductSpace.rankOne_def'",
      "InnerProductSpace.rankOne_ne_zero",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.add_one_le_of_lt",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instLEInt",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.instSub",
      "Int.mul",
      "Int.negOfNat",
      "Int.negSucc",
      "Int.ofNat",
      "Int.rawCast",
      "Int.sub_nonneg_of_le",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.completeSpace_coe",
      "IsClosed.inter",
      "IsClosed.isOpen_compl",
      "IsClosed.mem_of_tendsto",
      "IsClosed.mk",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.exists_isMaxOn",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.finite",
      "IsCompact.inter_right",
      "IsCompact.of_isClosed_subset",
      "IsCompact.totallyBounded",
      "IsCompactOperator",
      "IsCompactOperator.add",
      "IsCompactOperator.clm_comp",
      "IsCompactOperator.comp_clm",
      "IsCompactOperator.hasEigenvalue_iff_mem_spectrum",
      "IsCompactOperator.hasEigenvalue_or_mem_resolventSet",
      "IsCompactOperator.image_closedBall_subset_compact",
      "IsCompactOperator.neg",
      "IsCompactOperator.restrict'",
      "IsCompactOperator.smul",
      "IsDiscrete",
      "IsDiscrete.mono",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.extremePoints_subset_extremePoints",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsIdempotentElem.eq_1",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsMaxOn",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.cfcₙ",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.isSymmetric",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarNormal.map",
      "IsStarNormal.norm_add_eq_max",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.le_iff_mul_eq_right",
      "IsStarProjection.le_iff_sub",
      "IsStarProjection.map",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.toContinuousNeg",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUniformAddGroup.to_topologicalAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.dist_eq",
      "Isometry.injective",
      "Isometry.isClosedEmbedding",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.false",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Lean.Omega.Coeffs.ofList",
      "Lean.Omega.Constraint.addInequality_sat",
      "Lean.Omega.Constraint.combine_sat'",
      "Lean.Omega.Constraint.isImpossible",
      "Lean.Omega.Constraint.mk",
      "Lean.Omega.Constraint.not_sat'_of_isImpossible",
      "Lean.Omega.Int.add_congr",
      "Lean.Omega.Int.ofNat_le_of_le",
      "Lean.Omega.Int.ofNat_lt_of_lt",
      "Lean.Omega.Int.sub_congr",
      "Lean.Omega.LinearCombo",
      "Lean.Omega.LinearCombo.add_eval",
      "Lean.Omega.LinearCombo.coordinate",
      "Lean.Omega.LinearCombo.coordinate_eval_3",
      "Lean.Omega.LinearCombo.coordinate_eval_4",
      "Lean.Omega.LinearCombo.eval",
      "Lean.Omega.LinearCombo.instAdd",
      "Lean.Omega.LinearCombo.instSub",
      "Lean.Omega.LinearCombo.mk",
      "Lean.Omega.LinearCombo.sub_eval",
      "Lean.Omega.tidy_sat",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.map_add",
      "LinearEquiv.map_smul",
      "LinearEquiv.surjective",
      "LinearEquiv.toEquiv",
      "LinearEquiv.toLinearMap",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometry.isometry",
      "LinearIsometry.toLinearMap",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.trans",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.IsSymmetric.invariant_orthogonalComplement_eigenspace",
      "LinearMap.IsSymmetric.orthogonalFamily_eigenspaces",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.finiteDimensional_range",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.isometryOfInner",
      "LinearMap.ker",
      "LinearMap.ker_zero",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.restrict",
      "LinearMap.semilinearMapClass",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "LinearOrderedSemiField.toDenselyOrdered",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "LocallyConvexSpace",
      "Mathlib.Meta.NormNum.IsInt.neg_to_eq",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_eq_true",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Push.not_forall_eq",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.dense_iff",
      "Metric.isOpen_ball",
      "Metric.isOpen_iff",
      "Metric.mem_ball",
      "Metric.mem_ball._simp_1",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "Metric.totallyBounded_iff",
      "MetricSpace",
      "MetricSpace.mk",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.End",
      "Module.End.HasEigenvalue",
      "Module.End.HasEigenvalue.exists_hasEigenvector",
      "Module.End.HasEigenvector",
      "Module.End.eigenspace",
      "Module.End.genEigenspace",
      "Module.End.hasEigenvalue_of_hasEigenvector",
      "Module.End.mem_eigenspace_iff",
      "Module.complexToReal",
      "Module.finrank",
      "Module.mk",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "Mul.mk",
      "MulAction.mk",
      "MulAction.toSemigroupAction",
      "MulActionHom",
      "MulActionHom.map_smul'",
      "MulActionHom.mk",
      "MulActionHom.toFun",
      "MulActionWithZero.toSMulWithZero",
      "MulHom",
      "MulHom.funLike",
      "MulHomClass.toMulHom",
      "MulMemClass.toSemigroup",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNNorm.nnnorm",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.coe_le_coe",
      "NNReal.coe_max",
      "NNReal.coe_nonneg",
      "NNReal.eq",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCanonicallyOrderedAdd",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instLinearOrder",
      "NNReal.instOrderBot",
      "NNReal.instPartialOrder",
      "NNReal.instSemilatticeSup",
      "NNReal.instSemiring",
      "NNReal.instZero",
      "NNReal.sqrt",
      "NNReal.toReal",
      "NNReal.zero_le_coe._simp_1",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.find",
      "Nat.find_min'",
      "Nat.find_spec",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.ofNat_pos._simp_1",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.strong_induction_on",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.mk",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.comp._proof_2",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHom.toDistribMulActionHom",
      "NonUnitalAlgHomClass",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.norm_quasispectrum_le",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing",
      "NonUnitalNonAssocRing.mk",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing",
      "NonUnitalRing.mk",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.codRestrict",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.isometry",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mem_range",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.norm_map",
      "NonUnitalStarAlgHom.range",
      "NonUnitalStarAlgHom.rangeRestrict",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarRingHomClass.toStarHomClass",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.ext",
      "NonUnitalStarSubalgebra.instIsTopologicalSemiring",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instPartialOrder",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.mk",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebra.toNonUnitalRing._proof_1",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring._proof_1",
      "NonUnitalStarSubalgebra.toNonUnitalSubalgebra",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebra.mk",
      "NonUnitalSubalgebra.toNonUnitalSubsemiring",
      "NonUnitalSubalgebra.toSubmodule",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiring.mk",
      "NonUnitalSubsemiring.toSubsemigroup",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.mulMemClass",
      "NonUnitalSubsemiringClass.toAddSubmonoidClass",
      "NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring",
      "Nonempty",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "NonnegSpectrumClass.quasispectrum_nonneg_of_nonneg",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.mk",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.dist_eq._autoParam",
      "NormedAddCommGroup.mk",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.mk",
      "NormedSpace.norm_normalize",
      "NormedSpace.normalize",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Or.resolve_right",
      "Order.Frame.toHeytingAlgebra",
      "OrderBot.toBot",
      "OrderHom",
      "OrderHom.instFunLike",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "OrthonormalBasis.sum_repr'",
      "PUnit.fintype",
      "Pairwise",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instNeg",
      "Pi.instZero",
      "Pi.isScalarTower",
      "Pi.single",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.algebra",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.swap",
      "Prod.toNorm",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.cobounded_sets._autoParam",
      "PseudoMetricSpace.edist_dist._autoParam",
      "PseudoMetricSpace.mk",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "PseudoMetricSpace.uniformity_dist._autoParam",
      "Quot.mk",
      "Quotient",
      "Quotient.inductionOn",
      "Quotient.map'",
      "Quotient.mk",
      "Quotient.mk'",
      "Quotient.mk''",
      "QuotientModule.Quotient.topologicalSpace",
      "QuotientModule.Quotient.topologicalSpace._proof_1",
      "QuotientModule.Quotient.topologicalSpace._proof_2",
      "QuotientModule.Quotient.topologicalSpace._proof_3",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toCompleteSpace",
      "RCLike.toDenselyNormedField",
      "RCLike.toInnerProductSpaceReal",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instConditionallyCompleteLinearOrder",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInfSet",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.mul_self_sqrt",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Real.sqrt_sq",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingCon.toCon",
      "RingEquiv",
      "RingEquiv.injective",
      "RingEquiv.instEquivLike",
      "RingEquiv.mk",
      "RingEquiv.surjective",
      "RingEquivClass.toNonUnitalRingHomClass",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SDiff.sdiff",
      "SMul.mk",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulCommClass.smul_comm",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mk",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNNNorm",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Finite",
      "Set.Finite.fintype",
      "Set.Finite.image",
      "Set.Finite.mem_toFinset",
      "Set.Finite.subset",
      "Set.Finite.toFinset",
      "Set.Finite.toFinset.congr_simp",
      "Set.Finite.union",
      "Set.Icc",
      "Set.Ici",
      "Set.Infinite",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.decidableSingleton",
      "Set.disjoint_left",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.extremePoints",
      "Set.finite_empty._simp_1",
      "Set.finite_singleton",
      "Set.fintypeEmpty",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.iUnion",
      "Set.image",
      "Set.image_singleton",
      "Set.instBooleanAlgebra",
      "Set.instBoundedOrder",
      "Set.instCompl",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSDiff",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_iUnion₂",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_sInter",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_union",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.not_finite._simp_1",
      "Set.preimage",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sInter",
      "Set.sInter_subset_of_mem",
      "Set.sUnion",
      "Set.setOf_forall",
      "Set.subset_sUnion_of_mem",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.toFinite_toFinset",
      "Set.toFinset",
      "Set.toFinset_empty",
      "Set.univ",
      "SetLike",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "SetLike.mem_coe",
      "SetRel.comp",
      "Setoid.r",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.mk",
      "Star.star",
      "StarAddMonoid",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv",
      "StarAlgEquiv.apply_symm_apply",
      "StarAlgEquiv.instEquivLike",
      "StarAlgEquiv.instFunLike",
      "StarAlgEquiv.instNonUnitalAlgEquivClass",
      "StarAlgEquiv.instStarRingEquivClass",
      "StarAlgEquiv.mk",
      "StarAlgEquiv.symm",
      "StarAlgEquiv.symm_apply_apply",
      "StarAlgEquiv.toNonUnitalStarAlgHom",
      "StarAlgEquiv.toNonUnitalStarAlgHom_apply",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgEquiv.toStarRingEquiv",
      "StarAlgEquiv.trans",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.instStarAddMonoid",
      "StarMemClass.instStarRing",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingEquiv.mk",
      "StarRingEquiv.toRingEquiv",
      "StarRingEquivClass.instNonUnitalStarRingHomClass",
      "StarRingEquivClass.toRingEquivClass",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "Sub.mk",
      "SubNegMonoid.mk",
      "SubNegMonoid.sub_eq_add_neg._autoParam",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegMonoid.zsmul_neg'._autoParam",
      "SubNegMonoid.zsmul_succ'._autoParam",
      "SubNegMonoid.zsmul_zero'._autoParam",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.Quotient.addCommGroup._aux_1",
      "Submodule.Quotient.addCommGroup._aux_3",
      "Submodule.Quotient.addCommGroup._aux_6",
      "Submodule.Quotient.addCommGroup._proof_10",
      "Submodule.Quotient.addCommGroup._proof_11",
      "Submodule.Quotient.addCommGroup._proof_12",
      "Submodule.Quotient.addCommGroup._proof_5",
      "Submodule.Quotient.addCommGroup._proof_8",
      "Submodule.Quotient.addCommGroup._proof_9",
      "Submodule.Quotient.addCommMonoid",
      "Submodule.Quotient.addMonoid._aux_1",
      "Submodule.Quotient.addMonoid._aux_6",
      "Submodule.Quotient.addMonoid._proof_3",
      "Submodule.Quotient.addMonoid._proof_4",
      "Submodule.Quotient.addMonoid._proof_5",
      "Submodule.Quotient.addMonoid._proof_8",
      "Submodule.Quotient.addMonoid._proof_9",
      "Submodule.Quotient.completeSpace",
      "Submodule.Quotient.distribMulAction'._proof_1",
      "Submodule.Quotient.distribMulAction'._proof_2",
      "Submodule.Quotient.eq",
      "Submodule.Quotient.instSMul'._proof_2",
      "Submodule.Quotient.instZeroQuotient",
      "Submodule.Quotient.mk",
      "Submodule.Quotient.mk_eq_zero",
      "Submodule.Quotient.module",
      "Submodule.Quotient.module'._proof_3",
      "Submodule.Quotient.module'._proof_4",
      "Submodule.Quotient.mulAction'._proof_1",
      "Submodule.Quotient.mulAction'._proof_2",
      "Submodule.Quotient.norm_mk_le",
      "Submodule.Quotient.norm_mk_lt",
      "Submodule.Quotient.normedAddCommGroup",
      "Submodule.Quotient.normedAddCommGroup._proof_1",
      "Submodule.Quotient.normedAddCommGroup._proof_2",
      "Submodule.Quotient.normedSpace",
      "Submodule.Quotient.normedSpace._proof_1",
      "Submodule.Quotient.seminormedAddCommGroup",
      "Submodule.Quotient.seminormedAddCommGroup._aux_1",
      "Submodule.Quotient.seminormedAddCommGroup._aux_11",
      "Submodule.Quotient.seminormedAddCommGroup._aux_17",
      "Submodule.Quotient.seminormedAddCommGroup._aux_3",
      "Submodule.Quotient.seminormedAddCommGroup._aux_8",
      "Submodule.Quotient.seminormedAddCommGroup._proof_10",
      "Submodule.Quotient.seminormedAddCommGroup._proof_13",
      "Submodule.Quotient.seminormedAddCommGroup._proof_14",
      "Submodule.Quotient.seminormedAddCommGroup._proof_15",
      "Submodule.Quotient.seminormedAddCommGroup._proof_16",
      "Submodule.Quotient.seminormedAddCommGroup._proof_19",
      "Submodule.Quotient.seminormedAddCommGroup._proof_20",
      "Submodule.Quotient.seminormedAddCommGroup._proof_5",
      "Submodule.Quotient.seminormedAddCommGroup._proof_6",
      "Submodule.Quotient.seminormedAddCommGroup._proof_7",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.addSubmonoidClass",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.closed_of_finiteDimensional",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_bot_iff",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.ext",
      "Submodule.finiteDimensional_iSup",
      "Submodule.finiteDimensional_of_le",
      "Submodule.finiteDimensional_sup",
      "Submodule.finrank_lt_finrank_of_lt",
      "Submodule.hasQuotient",
      "Submodule.innerProductSpace",
      "Submodule.innerProductSpace._proof_5",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instOrthogonalCompleteSpace",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.isScalarTower'",
      "Submodule.le_topologicalClosure",
      "Submodule.liftQL",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_orthogonal",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.mkQ",
      "Submodule.mkQL",
      "Submodule.module",
      "Submodule.module._proof_1",
      "Submodule.neg_mem",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.quotEquivOfEq",
      "Submodule.quotientRel",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.starProjection",
      "Submodule.starProjection.congr_simp",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_minimal",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "Submodule.subtypeL",
      "Submodule.sum_mem",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submodule.zero_mem",
      "SubmoduleClass.module",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "Subsemigroup",
      "Subsemigroup.instSetLike",
      "Subsemigroup.mul_mem",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.forall",
      "Subtype.instDecidableEq",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.val",
      "Subtype.val_injective",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "T2Space.t1Space",
      "T3Space.toT0Space",
      "T4Space.t3Space",
      "T5Space.toT1Space",
      "T6Space.toT0Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.mk",
      "TopologicalSpace.ofClosed",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "TotallyBounded",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "TwoSidedIdeal",
      "TwoSidedIdeal.add_mem",
      "TwoSidedIdeal.coe_top",
      "TwoSidedIdeal.ext",
      "TwoSidedIdeal.instAddSubgroupClass",
      "TwoSidedIdeal.instBot",
      "TwoSidedIdeal.instCompleteLattice",
      "TwoSidedIdeal.instInfSet",
      "TwoSidedIdeal.instPartialOrder",
      "TwoSidedIdeal.instSemilatticeInf",
      "TwoSidedIdeal.instTop",
      "TwoSidedIdeal.ker",
      "TwoSidedIdeal.mem_bot",
      "TwoSidedIdeal.mem_iInf",
      "TwoSidedIdeal.mem_inf",
      "TwoSidedIdeal.mem_ker",
      "TwoSidedIdeal.mem_mk'",
      "TwoSidedIdeal.mem_mk'._simp_1",
      "TwoSidedIdeal.mem_top",
      "TwoSidedIdeal.mk'",
      "TwoSidedIdeal.mul_mem_left",
      "TwoSidedIdeal.mul_mem_right",
      "TwoSidedIdeal.neg_mem",
      "TwoSidedIdeal.ringCon",
      "TwoSidedIdeal.setLike",
      "TwoSidedIdeal.zero_mem",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.isUniformAddGroup",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.completelyNormalSpace_of_isCountablyGenerated_uniformity",
      "UniformSpace.mk",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAddGroup",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instCompleteSpace",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarAddMonoid",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.snd_mul",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "Zero",
      "Zero.mk",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass",
      "ZeroMemClass.coe_eq_zero._simp_1",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_comm",
      "add_le_add",
      "add_le_add_right",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_nonneg",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "and_self",
      "autoParam",
      "binderNameHint",
      "bot_eq_zero'",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_map_spectrum",
      "cfc_mul",
      "cfc_predicate",
      "cfc_real_eq_complex",
      "cfc_smul",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_add",
      "cfcₙ_commute_cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "cfcₙ_sum_univ",
      "cfcₙ_zero",
      "ciInf_le",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_minimal",
      "closure_singleton",
      "commute_iff_eq",
      "compactOperator",
      "compl_compl",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_const",
      "continuous_finsetSum",
      "continuous_fst",
      "continuous_id",
      "continuous_id'",
      "continuous_mul",
      "continuous_norm",
      "continuous_snd",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "discreteTopology_iff_isOpen_singleton",
      "dist_eq_norm",
      "dist_self",
      "dist_zero_left",
      "dist_zero_right",
      "dite",
      "div_eq_mul_inv",
      "div_le_iff₀",
      "div_le_one",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_pow",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_true",
      "even_two_mul",
      "exists_dual_vector",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_lt_self",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "iInf",
      "iSup",
      "iSup_le",
      "id",
      "if_neg",
      "if_pos",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_le_left",
      "inf_le_right",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_eq_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_zero_right",
      "inseparableSetoid",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddMonoidWithOneENat",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIciTopology",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDecidableOr",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instEMetricSpaceSubtype",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNatCastInt",
      "instNeZeroNatHAdd_1",
      "instNonUnitalAlgHomClassOfNonUnitalAlgEquivClass",
      "instNonUnitalCStarAlgebraProd",
      "instNonUnitalCStarAlgebraSubtypePreLpMemAddSubgroupLpTopENNReal",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instPreorderENat",
      "instPseudoEMetricSpaceSubtype",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT2SpaceSubtype",
      "instT4SpaceOfT1SpaceOfNormalSpace",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceProd",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "isClosed_Ici",
      "isClosed_biInter",
      "isClosed_closure",
      "isClosed_discrete",
      "isClosed_eq",
      "isClosed_iInter",
      "isClosed_le",
      "isClosed_of_closure_subset",
      "isClosed_setOf_isCompactOperator",
      "isClosed_singleton",
      "isCompactOperator_of_locallyCompactSpace_dom",
      "isCompactOperator_zero",
      "isDiscrete_iff_forall_exists_isOpen",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isOpen_compl_iff",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_iff_eq_starProjection_range",
      "isStarProjection_iff_isIdempotentElem_and_isStarNormal",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_iSup",
      "le_max_left",
      "le_max_right",
      "le_min",
      "le_of_eq",
      "le_of_forall_pos_le_add",
      "le_of_le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "le_total",
      "locallyCompact_of_proper",
      "lowerBounds",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inftyStarRing",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instMulSubtypePreLpMemAddSubgroupTopENNReal",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.instStarAddMonoid",
      "lp.instStarSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.nonUnitalNormedRing",
      "lp.nonUnitalRing",
      "lp.norm_apply_le_norm",
      "lp.norm_le_of_forall_le",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lp.single_add",
      "lp.single_smul",
      "lp.single_zero",
      "lt_irrefl",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_lt",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_lt_of_le",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_extremePoints_iff_left",
      "memℓp_infty",
      "memℓp_infty_iff",
      "min_eq_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_le_of_le_one_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "nnnorm_zero",
      "noConfusion_of_Nat",
      "nontrivial_of_ne",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
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      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_div",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_norm_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_exists",
      "not_false",
      "not_false_eq_true",
      "not_le._simp_1",
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      "not_subsingleton_iff_nontrivial",
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      "of_decide_eq_true",
      "of_eq_true",
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      "one_ne_zero",
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      "one_pow",
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      "openSegment",
      "optParam",
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      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "resolventSet",
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      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
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      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
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      "smul_eq_mul",
      "smul_eq_zero",
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      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.isCompact",
      "spectrum.isOpen_resolventSet",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_eq_zero",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_sum",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_self",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "subset_closure",
      "sum_mem",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_of_le_left",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_and",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "uniformity",
      "unitary",
      "upperBounds",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum.reducedAtomicRepresentation_spec_of_isCompactlyRepresented": [
      "Add.mk",
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.mk",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.mk",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid",
      "AddMonoid.mk",
      "AddMonoid.nsmul_succ._autoParam",
      "AddMonoid.nsmul_zero._autoParam",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.isometry_of_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.mk",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.sub",
      "AddSubgroupClass.toAddGroup._proof_6",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass",
      "AddSubmonoidClass.toAddMonoid._proof_6",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "BddAbove",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bornology.cobounded",
      "Bornology.mk",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.spectrum_zero_eq",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.instNonnegSpectrumClass'",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.mul_apply",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.mul_star_self_eq_zero_iff",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "CauchyFilter",
      "CauchyFilter.instUniformSpace",
      "CauchyFilter.pureCauchy",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choice",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_imp._simp_2",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.isClosed_iff",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toCommMonoid",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "Compl.compl",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toBoundedOrder",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSpace",
      "CompletelyNormalSpace.toNormalSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.exists_norm_eq_mul_self",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instCompleteSpace",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instProperSpace",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_I",
      "Complex.norm_div",
      "Complex.norm_ofNat",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.orderClosedTopology",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "Complex.zero_re",
      "Con.toSetoid",
      "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
      "ConditionallyCompleteLattice.toLattice",
      "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice",
      "ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup",
      "ConditionallyCompletePartialOrderSup.toPartialOrder",
      "ConditionallyCompletePartialOrderSup.toSupSet",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.comp'",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.norm",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.symm",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.codRestrict",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.eq_zero_of_forall_hasEigenvalue_eq_zero",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.finite_dimensional_eigenspace",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.sum_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.toSpanSingleton",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.mul",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSMul.continuousConstSMul",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "ContinuousStar.continuous_star",
      "Convex",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "DFunLike.ext",
      "Decidable",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "Dense",
      "Dense.closure_eq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.induction_on",
      "DenseRange.induction_on₂",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "DiscreteTopology",
      "Disjoint",
      "Dist.dist",
      "Dist.mk",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction",
      "DistribMulAction.mk",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom",
      "DistribMulActionHom.map_add'",
      "DistribMulActionHom.mk",
      "DistribMulActionHom.toMulActionHom",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instIsCountablyGeneratedUniformity",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "ENNReal.ofReal",
      "ENNReal.top_ne_zero._simp_1",
      "ENat",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Equiv",
      "Equiv.instEquivLike",
      "Equiv.mk",
      "Equiv.ofBijective",
      "Equiv.piCongrLeft'",
      "Equiv.piCongrLeft_apply_apply",
      "Equiv.refl",
      "Equiv.surjective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "EquivLike.surjective",
      "EquivLike.toFunLike",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "ExistsUnique",
      "False",
      "False.elim",
      "Field",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.neBot",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsApproximateUnit.tendsto_mul_right",
      "Filter.IsIncreasingApproximateUnit",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.smul",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.cofinite",
      "Filter.comap",
      "Filter.instInfSet",
      "Filter.instMembership",
      "Filter.instPartialOrder",
      "Filter.lift'",
      "Filter.mp_mem",
      "Filter.principal",
      "Filter.sets",
      "Filter.univ_mem'",
      "Fin",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.complete",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.proper_real",
      "FiniteDimensional.rclike_to_real",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.card",
      "Finset.decidableMem",
      "Finset.decidableMem'",
      "Finset.finite_toSet",
      "Finset.induction",
      "Finset.instEmptyCollection",
      "Finset.instHasSubset",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.instSingleton",
      "Finset.instUnion",
      "Finset.le_sup",
      "Finset.mem_singleton._simp_1",
      "Finset.mem_union_left",
      "Finset.mem_union_right",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.smul_sum",
      "Finset.subset_union_left",
      "Finset.subset_union_right",
      "Finset.sum",
      "Finset.sum_add_distrib",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_eq_single",
      "Finset.sum_eq_zero",
      "Finset.sum_insert",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_mul",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.sum_singleton",
      "Finset.sum_subset",
      "Finset.sup",
      "Finset.sup_empty",
      "Finset.sup_insert",
      "Finset.sup_le",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Bijective",
      "Function.Injective",
      "Function.Injective.comp",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.Surjective.range_comp",
      "Function.comp",
      "Function.hasSMul",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasQuotient.Quotient",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "Ideal.instIsTorsionFreeSubtypeMemSubmodule",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Iff.symm",
      "Iff.trans",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rankOne_comp_rankOne",
      "InnerProductSpace.rankOne_def'",
      "InnerProductSpace.rankOne_ne_zero",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.add_one_le_of_lt",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instLEInt",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.instSub",
      "Int.mul",
      "Int.negOfNat",
      "Int.negSucc",
      "Int.ofNat",
      "Int.rawCast",
      "Int.sub_nonneg_of_le",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.completeSpace_coe",
      "IsClosed.inter",
      "IsClosed.isOpen_compl",
      "IsClosed.mem_of_tendsto",
      "IsClosed.mk",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.exists_isMaxOn",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.finite",
      "IsCompact.inter_right",
      "IsCompact.of_isClosed_subset",
      "IsCompact.totallyBounded",
      "IsCompactOperator",
      "IsCompactOperator.add",
      "IsCompactOperator.clm_comp",
      "IsCompactOperator.comp_clm",
      "IsCompactOperator.hasEigenvalue_iff_mem_spectrum",
      "IsCompactOperator.hasEigenvalue_or_mem_resolventSet",
      "IsCompactOperator.image_closedBall_subset_compact",
      "IsCompactOperator.neg",
      "IsCompactOperator.restrict'",
      "IsCompactOperator.smul",
      "IsDiscrete",
      "IsDiscrete.mono",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.extremePoints_subset_extremePoints",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsIdempotentElem.eq_1",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsMaxOn",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.cfcₙ",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.isSymmetric",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarNormal.map",
      "IsStarNormal.norm_add_eq_max",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.le_iff_mul_eq_right",
      "IsStarProjection.le_iff_sub",
      "IsStarProjection.map",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.toContinuousNeg",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUniformAddGroup",
      "IsUniformAddGroup.to_topologicalAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.dist_eq",
      "Isometry.injective",
      "Isometry.isClosedEmbedding",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.false",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Lean.Omega.Coeffs.ofList",
      "Lean.Omega.Constraint.addInequality_sat",
      "Lean.Omega.Constraint.combine_sat'",
      "Lean.Omega.Constraint.isImpossible",
      "Lean.Omega.Constraint.mk",
      "Lean.Omega.Constraint.not_sat'_of_isImpossible",
      "Lean.Omega.Int.add_congr",
      "Lean.Omega.Int.ofNat_le_of_le",
      "Lean.Omega.Int.ofNat_lt_of_lt",
      "Lean.Omega.Int.sub_congr",
      "Lean.Omega.LinearCombo",
      "Lean.Omega.LinearCombo.add_eval",
      "Lean.Omega.LinearCombo.coordinate",
      "Lean.Omega.LinearCombo.coordinate_eval_3",
      "Lean.Omega.LinearCombo.coordinate_eval_4",
      "Lean.Omega.LinearCombo.eval",
      "Lean.Omega.LinearCombo.instAdd",
      "Lean.Omega.LinearCombo.instSub",
      "Lean.Omega.LinearCombo.mk",
      "Lean.Omega.LinearCombo.sub_eval",
      "Lean.Omega.tidy_sat",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.surjective",
      "LinearEquiv.toLinearMap",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometry.isometry",
      "LinearIsometry.toLinearMap",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.trans",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.IsSymmetric.invariant_orthogonalComplement_eigenspace",
      "LinearMap.IsSymmetric.orthogonalFamily_eigenspaces",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.finiteDimensional_range",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.isometryOfInner",
      "LinearMap.ker",
      "LinearMap.ker_zero",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.restrict",
      "LinearMap.semilinearMapClass",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "LinearOrderedSemiField.toDenselyOrdered",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "LocallyConvexSpace",
      "Mathlib.Meta.NormNum.IsInt.neg_to_eq",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_eq_true",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Push.not_forall_eq",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.dense_iff",
      "Metric.finite_approx_of_totallyBounded",
      "Metric.isOpen_ball",
      "Metric.isOpen_iff",
      "Metric.mem_ball",
      "Metric.mem_ball._simp_1",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "Metric.totallyBounded_iff",
      "MetricSpace",
      "MetricSpace.mk",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.End",
      "Module.End.HasEigenvalue",
      "Module.End.HasEigenvalue.exists_hasEigenvector",
      "Module.End.HasEigenvector",
      "Module.End.eigenspace",
      "Module.End.genEigenspace",
      "Module.End.hasEigenvalue_of_hasEigenvector",
      "Module.End.mem_eigenspace_iff",
      "Module.complexToReal",
      "Module.finrank",
      "Module.mk",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "MulAction.mk",
      "MulAction.toSemigroupAction",
      "MulActionHom",
      "MulActionHom.map_smul'",
      "MulActionHom.mk",
      "MulActionHom.toFun",
      "MulActionWithZero.toSMulWithZero",
      "MulHom",
      "MulHom.funLike",
      "MulHomClass.toMulHom",
      "MulMemClass.toSemigroup",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNNorm.nnnorm",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.coe_le_coe",
      "NNReal.coe_max",
      "NNReal.coe_nonneg",
      "NNReal.eq",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCanonicallyOrderedAdd",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instLinearOrder",
      "NNReal.instOrderBot",
      "NNReal.instPartialOrder",
      "NNReal.instSemilatticeSup",
      "NNReal.instSemiring",
      "NNReal.instZero",
      "NNReal.sqrt",
      "NNReal.toReal",
      "NNReal.zero_le_coe._simp_1",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.find",
      "Nat.find_min'",
      "Nat.find_spec",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_of_lt",
      "Nat.le_refl",
      "Nat.mul",
      "Nat.ofNat_pos._simp_1",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.strong_induction_on",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.mk",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.comp._proof_2",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHom.toDistribMulActionHom",
      "NonUnitalAlgHomClass",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.norm_quasispectrum_le",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.codRestrict",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.isometry",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mem_range",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.norm_map",
      "NonUnitalStarAlgHom.range",
      "NonUnitalStarAlgHom.rangeRestrict",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarAlgebra.instCompleteLatticeNonUnitalStarSubalgebra",
      "NonUnitalStarRingHomClass.toStarHomClass",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.ext",
      "NonUnitalStarSubalgebra.instIsTopologicalSemiring",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instPartialOrder",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.mk",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebra.toNonUnitalRing._proof_1",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring._proof_1",
      "NonUnitalStarSubalgebra.toNonUnitalSubalgebra",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebra.mk",
      "NonUnitalSubalgebra.toNonUnitalSubsemiring",
      "NonUnitalSubalgebra.toSubmodule",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiring.mk",
      "NonUnitalSubsemiring.toSubsemigroup",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.mulMemClass",
      "NonUnitalSubsemiringClass.toAddSubmonoidClass",
      "NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring",
      "Nonempty",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "NonnegSpectrumClass.quasispectrum_nonneg_of_nonneg",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.mk",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.dist_eq._autoParam",
      "NormedAddCommGroup.mk",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.mk",
      "NormedSpace.norm_normalize",
      "NormedSpace.normalize",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Or.resolve_right",
      "Order.Frame.toHeytingAlgebra",
      "OrderBot.toBot",
      "OrderHom",
      "OrderHom.instFunLike",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "OrthonormalBasis.sum_repr'",
      "PUnit.fintype",
      "Pairwise",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instNeg",
      "Pi.instZero",
      "Pi.isScalarTower",
      "Pi.single",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.algebra",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.swap",
      "Prod.toNorm",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.cobounded_sets._autoParam",
      "PseudoMetricSpace.edist_dist._autoParam",
      "PseudoMetricSpace.mk",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "PseudoMetricSpace.uniformity_dist._autoParam",
      "Quot.mk",
      "Quotient",
      "Quotient.inductionOn",
      "Quotient.map'",
      "Quotient.mk",
      "Quotient.mk'",
      "Quotient.mk''",
      "QuotientModule.Quotient.topologicalSpace",
      "QuotientModule.Quotient.topologicalSpace._proof_1",
      "QuotientModule.Quotient.topologicalSpace._proof_2",
      "QuotientModule.Quotient.topologicalSpace._proof_3",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toCompleteSpace",
      "RCLike.toDenselyNormedField",
      "RCLike.toInnerProductSpaceReal",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instConditionallyCompleteLinearOrder",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInfSet",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.mul_self_sqrt",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Real.sqrt_sq",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingCon.toCon",
      "RingEquiv",
      "RingEquiv.injective",
      "RingEquiv.instEquivLike",
      "RingEquiv.mk",
      "RingEquiv.surjective",
      "RingEquivClass.toNonUnitalRingHomClass",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SDiff.sdiff",
      "SMul.mk",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulCommClass.smul_comm",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mk",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNNNorm",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Finite",
      "Set.Finite.fintype",
      "Set.Finite.image",
      "Set.Finite.mem_toFinset",
      "Set.Finite.subset",
      "Set.Finite.toFinset",
      "Set.Finite.toFinset.congr_simp",
      "Set.Finite.union",
      "Set.Icc",
      "Set.Ici",
      "Set.Infinite",
      "Set.Infinite.exists_ne_map_eq_of_mapsTo",
      "Set.Infinite.to_subtype",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.decidableSingleton",
      "Set.disjoint_left",
      "Set.eq_empty_iff_forall_notMem",
      "Set.ext",
      "Set.extremePoints",
      "Set.finite_empty._simp_1",
      "Set.finite_singleton",
      "Set.fintypeEmpty",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.iUnion",
      "Set.image",
      "Set.image_singleton",
      "Set.infinite_univ",
      "Set.instBooleanAlgebra",
      "Set.instBoundedOrder",
      "Set.instCompl",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instReflSubset",
      "Set.instSDiff",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_iUnion",
      "Set.mem_iUnion₂",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_sInter",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_union",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.not_finite._simp_1",
      "Set.preimage",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sInter",
      "Set.sInter_subset_of_mem",
      "Set.sUnion",
      "Set.setOf_forall",
      "Set.subset_sUnion_of_mem",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.toFinite_toFinset",
      "Set.toFinset",
      "Set.toFinset_empty",
      "Set.univ",
      "SetLike",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.instMembership",
      "SetLike.mem_coe",
      "SetRel.comp",
      "Setoid.r",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv",
      "StarAlgEquiv.apply_symm_apply",
      "StarAlgEquiv.instEquivLike",
      "StarAlgEquiv.instFunLike",
      "StarAlgEquiv.instNonUnitalAlgEquivClass",
      "StarAlgEquiv.instStarRingEquivClass",
      "StarAlgEquiv.mk",
      "StarAlgEquiv.symm",
      "StarAlgEquiv.symm_apply_apply",
      "StarAlgEquiv.toNonUnitalStarAlgHom",
      "StarAlgEquiv.toNonUnitalStarAlgHom_apply",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgEquiv.toStarRingEquiv",
      "StarAlgEquiv.trans",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.instStarAddMonoid",
      "StarMemClass.instStarRing",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingEquiv.mk",
      "StarRingEquiv.toRingEquiv",
      "StarRingEquivClass.instNonUnitalStarRingHomClass",
      "StarRingEquivClass.toRingEquivClass",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "Sub.mk",
      "SubNegMonoid.mk",
      "SubNegMonoid.sub_eq_add_neg._autoParam",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegMonoid.zsmul_neg'._autoParam",
      "SubNegMonoid.zsmul_succ'._autoParam",
      "SubNegMonoid.zsmul_zero'._autoParam",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.Quotient.addCommGroup._aux_1",
      "Submodule.Quotient.addCommGroup._aux_3",
      "Submodule.Quotient.addCommGroup._aux_6",
      "Submodule.Quotient.addCommGroup._proof_10",
      "Submodule.Quotient.addCommGroup._proof_11",
      "Submodule.Quotient.addCommGroup._proof_12",
      "Submodule.Quotient.addCommGroup._proof_5",
      "Submodule.Quotient.addCommGroup._proof_8",
      "Submodule.Quotient.addCommGroup._proof_9",
      "Submodule.Quotient.addCommMonoid",
      "Submodule.Quotient.addMonoid._aux_1",
      "Submodule.Quotient.addMonoid._aux_6",
      "Submodule.Quotient.addMonoid._proof_3",
      "Submodule.Quotient.addMonoid._proof_4",
      "Submodule.Quotient.addMonoid._proof_5",
      "Submodule.Quotient.addMonoid._proof_8",
      "Submodule.Quotient.addMonoid._proof_9",
      "Submodule.Quotient.completeSpace",
      "Submodule.Quotient.distribMulAction'._proof_1",
      "Submodule.Quotient.distribMulAction'._proof_2",
      "Submodule.Quotient.eq",
      "Submodule.Quotient.instSMul'._proof_2",
      "Submodule.Quotient.instZeroQuotient",
      "Submodule.Quotient.mk",
      "Submodule.Quotient.mk_eq_zero",
      "Submodule.Quotient.module",
      "Submodule.Quotient.module'._proof_3",
      "Submodule.Quotient.module'._proof_4",
      "Submodule.Quotient.mulAction'._proof_1",
      "Submodule.Quotient.mulAction'._proof_2",
      "Submodule.Quotient.norm_mk_le",
      "Submodule.Quotient.norm_mk_lt",
      "Submodule.Quotient.normedAddCommGroup",
      "Submodule.Quotient.normedAddCommGroup._proof_1",
      "Submodule.Quotient.normedAddCommGroup._proof_2",
      "Submodule.Quotient.normedSpace",
      "Submodule.Quotient.normedSpace._proof_1",
      "Submodule.Quotient.seminormedAddCommGroup",
      "Submodule.Quotient.seminormedAddCommGroup._aux_1",
      "Submodule.Quotient.seminormedAddCommGroup._aux_11",
      "Submodule.Quotient.seminormedAddCommGroup._aux_17",
      "Submodule.Quotient.seminormedAddCommGroup._aux_3",
      "Submodule.Quotient.seminormedAddCommGroup._aux_8",
      "Submodule.Quotient.seminormedAddCommGroup._proof_10",
      "Submodule.Quotient.seminormedAddCommGroup._proof_13",
      "Submodule.Quotient.seminormedAddCommGroup._proof_14",
      "Submodule.Quotient.seminormedAddCommGroup._proof_15",
      "Submodule.Quotient.seminormedAddCommGroup._proof_16",
      "Submodule.Quotient.seminormedAddCommGroup._proof_19",
      "Submodule.Quotient.seminormedAddCommGroup._proof_20",
      "Submodule.Quotient.seminormedAddCommGroup._proof_5",
      "Submodule.Quotient.seminormedAddCommGroup._proof_6",
      "Submodule.Quotient.seminormedAddCommGroup._proof_7",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.addSubmonoidClass",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.closed_of_finiteDimensional",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.ext",
      "Submodule.finiteDimensional_iSup",
      "Submodule.finiteDimensional_of_le",
      "Submodule.finiteDimensional_sup",
      "Submodule.finrank_lt_finrank_of_lt",
      "Submodule.hasQuotient",
      "Submodule.innerProductSpace",
      "Submodule.innerProductSpace._proof_5",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instOrthogonalCompleteSpace",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.isScalarTower'",
      "Submodule.le_topologicalClosure",
      "Submodule.liftQL",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_orthogonal",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.mkQ",
      "Submodule.mkQL",
      "Submodule.module",
      "Submodule.module._proof_1",
      "Submodule.neg_mem",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.quotientRel",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.starProjection",
      "Submodule.starProjection.congr_simp",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_minimal",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "Submodule.subtypeL",
      "Submodule.sum_mem",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submodule.zero_mem",
      "SubmoduleClass.module",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "Subsemigroup",
      "Subsemigroup.instSetLike",
      "Subsemigroup.mul_mem",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.forall",
      "Subtype.instDecidableEq",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.val",
      "Subtype.val_injective",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "T2Space.t1Space",
      "T3Space.toT0Space",
      "T4Space.t3Space",
      "T5Space.toT1Space",
      "T6Space.toT0Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.mk",
      "TopologicalSpace.ofClosed",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "TotallyBounded",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "TwoSidedIdeal",
      "TwoSidedIdeal.add_mem",
      "TwoSidedIdeal.coe_top",
      "TwoSidedIdeal.ext",
      "TwoSidedIdeal.instAddSubgroupClass",
      "TwoSidedIdeal.instBot",
      "TwoSidedIdeal.instCompleteLattice",
      "TwoSidedIdeal.instInfSet",
      "TwoSidedIdeal.instPartialOrder",
      "TwoSidedIdeal.instSemilatticeInf",
      "TwoSidedIdeal.instTop",
      "TwoSidedIdeal.ker",
      "TwoSidedIdeal.mem_bot",
      "TwoSidedIdeal.mem_iInf",
      "TwoSidedIdeal.mem_inf",
      "TwoSidedIdeal.mem_ker",
      "TwoSidedIdeal.mem_mk'",
      "TwoSidedIdeal.mem_mk'._simp_1",
      "TwoSidedIdeal.mem_top",
      "TwoSidedIdeal.mk'",
      "TwoSidedIdeal.mul_mem_left",
      "TwoSidedIdeal.mul_mem_right",
      "TwoSidedIdeal.neg_mem",
      "TwoSidedIdeal.ringCon",
      "TwoSidedIdeal.setLike",
      "TwoSidedIdeal.zero_mem",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.isUniformAddGroup",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.completelyNormalSpace_of_isCountablyGenerated_uniformity",
      "UniformSpace.mk",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAddGroup",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instCompleteSpace",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarAddMonoid",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.snd_mul",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "Zero",
      "Zero.mk",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass",
      "ZeroMemClass.coe_eq_zero._simp_1",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_comm",
      "add_le_add",
      "add_le_add_right",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_nonneg",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "and_self",
      "autoParam",
      "binderNameHint",
      "bot_eq_zero'",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_map_spectrum",
      "cfc_mul",
      "cfc_predicate",
      "cfc_real_eq_complex",
      "cfc_smul",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_add",
      "cfcₙ_commute_cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "cfcₙ_sum_univ",
      "cfcₙ_zero",
      "ciInf_le",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_minimal",
      "closure_singleton",
      "commute_iff_eq",
      "compactOperator",
      "compl_compl",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_const",
      "continuous_finsetSum",
      "continuous_fst",
      "continuous_id",
      "continuous_id'",
      "continuous_mul",
      "continuous_norm",
      "continuous_snd",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "discreteTopology_iff_isOpen_singleton",
      "dist_comm",
      "dist_eq_norm",
      "dist_self",
      "dist_triangle",
      "dist_zero_left",
      "dist_zero_right",
      "dite",
      "div_eq_mul_inv",
      "div_le_iff₀",
      "div_le_one",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_pow",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_true",
      "even_two_mul",
      "exists_dual_vector",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "forall_congr",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_lt_self",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "iInf",
      "iSup",
      "iSup_le",
      "id",
      "if_neg",
      "if_pos",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_le_left",
      "inf_le_right",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_eq_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_zero_right",
      "inseparableSetoid",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddMonoidWithOneENat",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIciTopology",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDecidableOr",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instEMetricSpaceSubtype",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNatCastInt",
      "instNeZeroNatHAdd_1",
      "instNonUnitalAlgHomClassOfNonUnitalAlgEquivClass",
      "instNonUnitalCStarAlgebraProd",
      "instNonUnitalCStarAlgebraSubtypePreLpMemAddSubgroupLpTopENNReal",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instPreorderENat",
      "instPseudoEMetricSpaceSubtype",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubCompletion",
      "instSubsingletonPUnit",
      "instT2SpaceSubtype",
      "instT4SpaceOfT1SpaceOfNormalSpace",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceProd",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "isClosed_Ici",
      "isClosed_biInter",
      "isClosed_closure",
      "isClosed_discrete",
      "isClosed_eq",
      "isClosed_iInter",
      "isClosed_le",
      "isClosed_of_closure_subset",
      "isClosed_setOf_isCompactOperator",
      "isClosed_singleton",
      "isCompactOperator_of_locallyCompactSpace_dom",
      "isCompactOperator_zero",
      "isDiscrete_iff_forall_exists_isOpen",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isOpen_compl_iff",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_iff_eq_starProjection_range",
      "isStarProjection_iff_isIdempotentElem_and_isStarNormal",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_iSup",
      "le_max_left",
      "le_max_right",
      "le_min",
      "le_of_eq",
      "le_of_forall_pos_le_add",
      "le_of_le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "le_total",
      "locallyCompact_of_proper",
      "lowerBounds",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inftyStarRing",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instIsScalarTowerSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instMulSubtypePreLpMemAddSubgroupTopENNReal",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.instStarAddMonoid",
      "lp.instStarSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.nonUnitalNormedRing",
      "lp.nonUnitalRing",
      "lp.norm_apply_le_norm",
      "lp.norm_le_of_forall_le",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lp.single_add",
      "lp.single_smul",
      "lp.single_zero",
      "lt_irrefl",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_lt",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_lt_of_le",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "map_add",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_extremePoints_iff_left",
      "memℓp_infty",
      "memℓp_infty_iff",
      "min_eq_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_le_of_le_one_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "nnnorm_zero",
      "noConfusion_of_Nat",
      "nontrivial_of_ne",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_div",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_norm_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_exists",
      "not_false",
      "not_false_eq_true",
      "not_le._simp_1",
      "not_le_of_gt",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_ne_iff",
      "not_or._simp_2",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "optParam",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "resolventSet",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.isCompact",
      "spectrum.isOpen_resolventSet",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_eq_zero",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_sum",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_self",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "subset_closure",
      "sum_mem",
      "summable_geometric_two'",
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      "sup_of_le_left",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_and",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "uniformity",
      "unitary",
      "upperBounds",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.NonUnitalCStarRepresentation.compactC0Decomposition": [
      "Add.mk",
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.mk",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.mk",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.mk",
      "AddMonoid.nsmul_succ._autoParam",
      "AddMonoid.nsmul_zero._autoParam",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.isometry_of_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.mk",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass.sub",
      "AddSubgroupClass.toAddGroup._proof_6",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid.mk",
      "AddSubmonoidClass",
      "AddSubmonoidClass.toAddMonoid._proof_6",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.cast",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "BddAbove",
      "Bool",
      "Bool.false",
      "Bool.true",
      "Bornology.cobounded",
      "Bornology.mk",
      "Bot.bot",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.spectrum_zero_eq",
      "CStarAlgebra",
      "CStarAlgebra.instNonnegSpectrumClass'",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.mul_star_self_eq_zero_iff",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "Classical.byContradiction",
      "Classical.choice",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_imp._simp_2",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toCommMonoid",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "Compl.compl",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteSpace",
      "CompletelyNormalSpace.toNormalSpace",
      "Complex",
      "Complex.I",
      "Complex.I_sq",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instCompleteSpace",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instProperSpace",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_I",
      "Complex.norm_div",
      "Complex.norm_ofNat",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.re",
      "Complex.re_sum",
      "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
      "ConditionallyCompleteLattice.toLattice",
      "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice",
      "ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup",
      "ConditionallyCompletePartialOrderSup.toPartialOrder",
      "ConditionallyCompletePartialOrderSup.toSupSet",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.comp'",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.norm",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.eq_zero_of_forall_hasEigenvalue_eq_zero",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.finite_dimensional_eigenspace",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.sum_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.toSpanSingleton",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousMapClass.map_continuous",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.mul",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSMul.continuousConstSMul",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "ContinuousStar.continuous_star",
      "DFunLike",
      "DFunLike.coe",
      "Decidable",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "Dense",
      "Dense.closure_eq",
      "DenseRange",
      "DenseRange.induction_on",
      "DenseRange.induction_on₂",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Dist.dist",
      "Dist.mk",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.mk",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instIsCountablyGeneratedUniformity",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "ENNReal.ofReal",
      "ENNReal.top_ne_zero._simp_1",
      "ENat",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "Equiv",
      "Equiv.instEquivLike",
      "Equiv.mk",
      "Equiv.ofBijective",
      "Equiv.piCongrLeft'",
      "Equiv.piCongrLeft_apply_apply",
      "Equiv.refl",
      "Equiv.surjective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "EquivLike.toFunLike",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.cofinite",
      "Filter.comap",
      "Filter.instInfSet",
      "Filter.instMembership",
      "Filter.instPartialOrder",
      "Filter.lift'",
      "Filter.principal",
      "Filter.sets",
      "Fin",
      "Fin.fintype",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.complete",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_real",
      "FiniteDimensional.rclike_to_real",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.card",
      "Finset.decidableMem",
      "Finset.decidableMem'",
      "Finset.finite_toSet",
      "Finset.induction",
      "Finset.instEmptyCollection",
      "Finset.instHasSubset",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.instSingleton",
      "Finset.instUnion",
      "Finset.le_sup",
      "Finset.mem_singleton._simp_1",
      "Finset.mem_union_left",
      "Finset.mem_union_right",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.smul_sum",
      "Finset.subset_union_left",
      "Finset.subset_union_right",
      "Finset.sum",
      "Finset.sum_add_distrib",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_eq_single",
      "Finset.sum_eq_zero",
      "Finset.sum_insert",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_mul",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.sum_singleton",
      "Finset.sum_subset",
      "Finset.sup",
      "Finset.sup_empty",
      "Finset.sup_insert",
      "Finset.sup_le",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Injective",
      "Function.Surjective",
      "Function.comp",
      "Function.hasSMul",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasQuotient.Quotient",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "Ideal.instIsTorsionFreeSubtypeMemSubmodule",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Iff.symm",
      "Inner.inner",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rankOne_def'",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.add_one_le_of_lt",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instLEInt",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.instSub",
      "Int.mul",
      "Int.negOfNat",
      "Int.negSucc",
      "Int.ofNat",
      "Int.rawCast",
      "Int.sub_nonneg_of_le",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.completeSpace_coe",
      "IsClosed.inter",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.finite",
      "IsCompact.inter_right",
      "IsCompact.totallyBounded",
      "IsCompactOperator",
      "IsCompactOperator.add",
      "IsCompactOperator.clm_comp",
      "IsCompactOperator.comp_clm",
      "IsCompactOperator.hasEigenvalue_iff_mem_spectrum",
      "IsCompactOperator.hasEigenvalue_or_mem_resolventSet",
      "IsCompactOperator.image_closedBall_subset_compact",
      "IsCompactOperator.neg",
      "IsCompactOperator.restrict'",
      "IsCompactOperator.smul",
      "IsDiscrete",
      "IsDiscrete.mono",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsIdempotentElem.eq_1",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsOpen",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.cfcₙ",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.isSymmetric",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarNormal.map",
      "IsStarNormal.norm_add_eq_max",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.le_iff_mul_eq_right",
      "IsStarProjection.le_iff_sub",
      "IsStarProjection.map",
      "IsStarProjection.mk",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.toContinuousNeg",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUnit",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.dist_eq",
      "Isometry.injective",
      "Isometry.isClosedEmbedding",
      "LE.le",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Lean.Omega.Coeffs.ofList",
      "Lean.Omega.Constraint.addInequality_sat",
      "Lean.Omega.Constraint.combine_sat'",
      "Lean.Omega.Constraint.isImpossible",
      "Lean.Omega.Constraint.mk",
      "Lean.Omega.Constraint.not_sat'_of_isImpossible",
      "Lean.Omega.Int.add_congr",
      "Lean.Omega.Int.ofNat_le_of_le",
      "Lean.Omega.Int.ofNat_lt_of_lt",
      "Lean.Omega.Int.sub_congr",
      "Lean.Omega.LinearCombo",
      "Lean.Omega.LinearCombo.add_eval",
      "Lean.Omega.LinearCombo.coordinate",
      "Lean.Omega.LinearCombo.coordinate_eval_3",
      "Lean.Omega.LinearCombo.coordinate_eval_4",
      "Lean.Omega.LinearCombo.eval",
      "Lean.Omega.LinearCombo.instAdd",
      "Lean.Omega.LinearCombo.instSub",
      "Lean.Omega.LinearCombo.mk",
      "Lean.Omega.LinearCombo.sub_eval",
      "Lean.Omega.tidy_sat",
      "Left.neg_nonpos_iff._simp_1",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.IsSymmetric.invariant_orthogonalComplement_eigenspace",
      "LinearMap.IsSymmetric.orthogonalFamily_eigenspaces",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.finiteDimensional_range",
      "LinearMap.instFunLike",
      "LinearMap.ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.range",
      "LinearMap.range_zero",
      "LinearMap.restrict",
      "LinearMap.semilinearMapClass",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "LinearOrderedSemiField.toDenselyOrdered",
      "List.cons",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.neg_to_eq",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_eq_true",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Push.not_forall_eq",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Max.max",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.dense_iff",
      "Metric.isOpen_ball",
      "Metric.isOpen_iff",
      "Metric.mem_ball",
      "Metric.mem_ball._simp_1",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall",
      "Metric.mem_closure_iff",
      "Metric.totallyBounded_iff",
      "MetricSpace",
      "MetricSpace.mk",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.End",
      "Module.End.HasEigenvalue",
      "Module.End.HasEigenvalue.exists_hasEigenvector",
      "Module.End.HasEigenvector",
      "Module.End.eigenspace",
      "Module.End.genEigenspace",
      "Module.End.hasEigenvalue_of_hasEigenvector",
      "Module.End.mem_eigenspace_iff",
      "Module.complexToReal",
      "Module.finrank",
      "Module.mk",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Mul",
      "MulAction.mk",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulMemClass.toSemigroup",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNNorm.nnnorm",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.coe_le_coe",
      "NNReal.coe_max",
      "NNReal.coe_nonneg",
      "NNReal.eq",
      "NNReal.instCanonicallyOrderedAdd",
      "NNReal.instLinearOrder",
      "NNReal.instOrderBot",
      "NNReal.instPartialOrder",
      "NNReal.instSemilatticeSup",
      "NNReal.instSemiring",
      "NNReal.instZero",
      "NNReal.toReal",
      "NNReal.zero_le_coe._simp_1",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.find",
      "Nat.find_min'",
      "Nat.find_spec",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.mul",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.strong_induction_on",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.mk",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.norm_quasispectrum_le",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocRing",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.isometry",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mem_range",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.norm_map",
      "NonUnitalStarAlgHom.range",
      "NonUnitalStarAlgHom.rangeRestrict",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarRingHomClass.toStarHomClass",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.instIsTopologicalSemiring",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instPartialOrder",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.mk",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebra.toNonUnitalRing._proof_1",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring._proof_1",
      "NonUnitalStarSubalgebra.toNonUnitalSubalgebra",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebra.mk",
      "NonUnitalSubalgebra.toNonUnitalSubsemiring",
      "NonUnitalSubalgebra.toSubmodule",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiring.mk",
      "NonUnitalSubsemiring.toSubsemigroup",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.mulMemClass",
      "NonUnitalSubsemiringClass.toAddSubmonoidClass",
      "NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring",
      "Nonempty",
      "Nonempty.intro",
      "NonnegSpectrumClass.quasispectrum_nonneg_of_nonneg",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.mk",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.dist_eq._autoParam",
      "NormedAddCommGroup.mk",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.mk",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Or.resolve_right",
      "OrderBot.toBot",
      "OrderHom",
      "OrderHom.instFunLike",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "OrthonormalBasis.sum_repr'",
      "PUnit.fintype",
      "Pairwise",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instNeg",
      "Pi.instZero",
      "Pi.isScalarTower",
      "Pi.single",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.fst",
      "Prod.mk",
      "Prod.snd",
      "Prod.swap",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.cobounded_sets._autoParam",
      "PseudoMetricSpace.edist_dist._autoParam",
      "PseudoMetricSpace.mk",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "PseudoMetricSpace.uniformity_dist._autoParam",
      "Quotient",
      "Quotient.inductionOn",
      "Quotient.map'",
      "Quotient.mk",
      "Quotient.mk'",
      "Quotient.mk''",
      "QuotientModule.Quotient.topologicalSpace._proof_1",
      "QuotientModule.Quotient.topologicalSpace._proof_2",
      "QuotientModule.Quotient.topologicalSpace._proof_3",
      "RCLike",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.re",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toCompleteSpace",
      "RCLike.toDenselyNormedField",
      "RCLike.toInnerProductSpaceReal",
      "RCLike.toNormedAlgebra",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instConditionallyCompleteLinearOrder",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInfSet",
      "Real.instInv",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.mul_self_sqrt",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Real.sqrt_sq",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingEquiv",
      "RingEquiv.injective",
      "RingEquiv.instEquivLike",
      "RingEquiv.mk",
      "RingEquivClass.toNonUnitalRingHomClass",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SDiff.sdiff",
      "SMul.mk",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mk",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNNNorm",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Finite",
      "Set.Finite.fintype",
      "Set.Finite.image",
      "Set.Finite.mem_toFinset",
      "Set.Finite.subset",
      "Set.Finite.toFinset",
      "Set.Finite.toFinset.congr_simp",
      "Set.Finite.union",
      "Set.Icc",
      "Set.Infinite",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Subset.antisymm",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.decidableSingleton",
      "Set.ext",
      "Set.finite_empty._simp_1",
      "Set.finite_singleton",
      "Set.fintypeEmpty",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.iUnion",
      "Set.image",
      "Set.instCompl",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instMembership",
      "Set.instSDiff",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_iInter",
      "Set.mem_iUnion₂",
      "Set.mem_insert",
      "Set.mem_insert_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_union",
      "Set.mem_univ",
      "Set.not_finite._simp_1",
      "Set.preimage",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sUnion",
      "Set.setOf_forall",
      "Set.toFinite",
      "Set.toFinite_toFinset",
      "Set.toFinset",
      "Set.toFinset_empty",
      "Set.univ",
      "SetLike",
      "SetLike.coe",
      "SetLike.instMembership",
      "SetLike.mem_coe",
      "SetRel.comp",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv",
      "StarAlgEquiv.apply_symm_apply",
      "StarAlgEquiv.instEquivLike",
      "StarAlgEquiv.instFunLike",
      "StarAlgEquiv.instNonUnitalAlgEquivClass",
      "StarAlgEquiv.instStarRingEquivClass",
      "StarAlgEquiv.mk",
      "StarAlgEquiv.symm",
      "StarAlgEquiv.symm_apply_apply",
      "StarAlgEquiv.toNonUnitalStarAlgHom",
      "StarAlgEquiv.toNonUnitalStarAlgHom_apply",
      "StarAlgEquiv.toStarRingEquiv",
      "StarAlgEquiv.trans",
      "StarAlgHom",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.instStarAddMonoid",
      "StarMemClass.instStarRing",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingEquiv.mk",
      "StarRingEquiv.toRingEquiv",
      "StarRingEquivClass.instNonUnitalStarRingHomClass",
      "StarRingEquivClass.toRingEquivClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "Sub.mk",
      "SubNegMonoid.mk",
      "SubNegMonoid.sub_eq_add_neg._autoParam",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegMonoid.zsmul_neg'._autoParam",
      "SubNegMonoid.zsmul_succ'._autoParam",
      "SubNegMonoid.zsmul_zero'._autoParam",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.Quotient.addCommGroup._aux_1",
      "Submodule.Quotient.addCommGroup._aux_3",
      "Submodule.Quotient.addCommGroup._aux_6",
      "Submodule.Quotient.addCommGroup._proof_10",
      "Submodule.Quotient.addCommGroup._proof_11",
      "Submodule.Quotient.addCommGroup._proof_12",
      "Submodule.Quotient.addCommGroup._proof_5",
      "Submodule.Quotient.addCommGroup._proof_8",
      "Submodule.Quotient.addCommGroup._proof_9",
      "Submodule.Quotient.addMonoid._aux_1",
      "Submodule.Quotient.addMonoid._aux_6",
      "Submodule.Quotient.addMonoid._proof_3",
      "Submodule.Quotient.addMonoid._proof_4",
      "Submodule.Quotient.addMonoid._proof_5",
      "Submodule.Quotient.addMonoid._proof_8",
      "Submodule.Quotient.addMonoid._proof_9",
      "Submodule.Quotient.completeSpace",
      "Submodule.Quotient.distribMulAction'._proof_1",
      "Submodule.Quotient.distribMulAction'._proof_2",
      "Submodule.Quotient.eq",
      "Submodule.Quotient.instSMul'._proof_2",
      "Submodule.Quotient.mk",
      "Submodule.Quotient.module'._proof_3",
      "Submodule.Quotient.module'._proof_4",
      "Submodule.Quotient.mulAction'._proof_1",
      "Submodule.Quotient.mulAction'._proof_2",
      "Submodule.Quotient.norm_mk_le",
      "Submodule.Quotient.norm_mk_lt",
      "Submodule.Quotient.normedAddCommGroup._proof_1",
      "Submodule.Quotient.normedAddCommGroup._proof_2",
      "Submodule.Quotient.normedSpace._proof_1",
      "Submodule.Quotient.seminormedAddCommGroup",
      "Submodule.Quotient.seminormedAddCommGroup._aux_1",
      "Submodule.Quotient.seminormedAddCommGroup._aux_11",
      "Submodule.Quotient.seminormedAddCommGroup._aux_17",
      "Submodule.Quotient.seminormedAddCommGroup._aux_3",
      "Submodule.Quotient.seminormedAddCommGroup._aux_8",
      "Submodule.Quotient.seminormedAddCommGroup._proof_10",
      "Submodule.Quotient.seminormedAddCommGroup._proof_13",
      "Submodule.Quotient.seminormedAddCommGroup._proof_14",
      "Submodule.Quotient.seminormedAddCommGroup._proof_15",
      "Submodule.Quotient.seminormedAddCommGroup._proof_16",
      "Submodule.Quotient.seminormedAddCommGroup._proof_19",
      "Submodule.Quotient.seminormedAddCommGroup._proof_20",
      "Submodule.Quotient.seminormedAddCommGroup._proof_5",
      "Submodule.Quotient.seminormedAddCommGroup._proof_6",
      "Submodule.Quotient.seminormedAddCommGroup._proof_7",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.addSubmonoidClass",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.closed_of_finiteDimensional",
      "Submodule.completeLattice",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.finiteDimensional_iSup",
      "Submodule.finiteDimensional_of_le",
      "Submodule.finiteDimensional_sup",
      "Submodule.finrank_lt_finrank_of_lt",
      "Submodule.hasQuotient",
      "Submodule.innerProductSpace",
      "Submodule.innerProductSpace._proof_5",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.instBot",
      "Submodule.instOrderTop",
      "Submodule.instOrthogonalCompleteSpace",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.isScalarTower'",
      "Submodule.le_topologicalClosure",
      "Submodule.liftQL",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_orthogonal",
      "Submodule.mem_top",
      "Submodule.mk",
      "Submodule.mkQL",
      "Submodule.module",
      "Submodule.module._proof_1",
      "Submodule.neg_mem",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.quotientRel",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.starProjection",
      "Submodule.starProjection.congr_simp",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_minimal",
      "Submodule.starProjection_norm_le",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "Submodule.subtypeL",
      "Submodule.sum_mem",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submodule.zero_mem",
      "SubmoduleClass.module",
      "Submonoid",
      "Submonoid.instSetLike",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "Subsemigroup",
      "Subsemigroup.instSetLike",
      "Subsemigroup.mul_mem",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
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      "TopologicalLattice.toContinuousSup",
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      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
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      "cfcₙ_sum_univ",
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      "closure_minimal",
      "commute_iff_eq",
      "compactOperator",
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      "congrArg",
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      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
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      "continuous_finsetSum",
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      "continuous_id'",
      "continuous_mul",
      "continuous_norm",
      "continuous_snd",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
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      "dist_zero_right",
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      "div_le_iff₀",
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      "div_pow",
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      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
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      "even_two_mul",
      "exists_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
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      "gt_iff_lt._simp_1",
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      "iSup",
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      "if_neg",
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      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_zero",
      "inner_smul_left",
      "inner_smul_real_left",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "instAddCommGroupPreLp",
      "instAddMonoidWithOneENat",
      "instAddNat",
      "instArchimedeanNat",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDecidableOr",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instEMetricSpaceSubtype",
      "instFintypeSum",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNatCastInt",
      "instNeZeroNatHAdd_1",
      "instNonUnitalAlgHomClassOfNonUnitalAlgEquivClass",
      "instNonUnitalCStarAlgebraSubtypePreLpMemAddSubgroupLpTopENNReal",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instPreorderENat",
      "instPseudoEMetricSpaceSubtype",
      "instReflLe",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT2SpaceSubtype",
      "instT4SpaceOfT1SpaceOfNormalSpace",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceProd",
      "instTopologicalSpaceSubtype",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "isClosed_eq",
      "isClosed_iInter",
      "isClosed_le",
      "isClosed_setOf_isCompactOperator",
      "isCompactOperator_of_locallyCompactSpace_dom",
      "isCompactOperator_zero",
      "isDiscrete_iff_forall_exists_isOpen",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isIdempotentElem_iff",
      "isOpen_compl_iff",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_iff_eq_starProjection_range",
      "isStarProjection_iff_isIdempotentElem_and_isStarNormal",
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      "isUnit_cfc_iff",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "le_abs_self",
      "le_antisymm",
      "le_div_iff₀",
      "le_iSup",
      "le_max_left",
      "le_max_right",
      "le_min",
      "le_of_eq",
      "le_of_forall_pos_le_add",
      "le_of_le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_refl",
      "le_rfl",
      "le_sup_left",
      "le_sup_right",
      "le_total",
      "locallyCompact_of_proper",
      "lowerBounds",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inftyStarRing",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instMulSubtypePreLpMemAddSubgroupTopENNReal",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.instStarAddMonoid",
      "lp.instStarSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.nonUnitalNormedRing",
      "lp.nonUnitalRing",
      "lp.norm_apply_le_norm",
      "lp.norm_le_of_forall_le",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lp.single_add",
      "lp.single_smul",
      "lp.single_zero",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_lt_of_le",
      "lt_of_not_ge",
      "lt_or_gt_of_ne",
      "map_add",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "memℓp_infty",
      "memℓp_infty_iff",
      "min_eq_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_inv_cancel₀",
      "mul_le_mul",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_smul_comm",
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      "ne_of_gt",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_smul",
      "neg_zero",
      "nhds",
      "nnnorm_zero",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
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      "norm_cfc_le",
      "norm_cfcₙ_le",
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      "norm_eq_zero",
      "norm_inv",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_norm_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_exists",
      "not_false",
      "not_false_eq_true",
      "not_le._simp_1",
      "not_le_of_gt",
      "not_lt_of_ge",
      "not_ne_iff",
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      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
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      "one_ne_zero",
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      "one_pow",
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      "optParam",
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      "pow_one",
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      "pow_succ'",
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      "realPart_apply_coe",
      "real_inner_eq_re_inner",
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      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
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      "smulCommClass_self",
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      "squeeze_zero",
      "starRingEnd",
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      "star_sub",
      "star_sum",
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      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
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      "summable_geometric_two'",
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      "tendsto_zero_iff_norm_tendsto_zero",
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      "tsum",
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      "two_smul",
      "uniformity",
      "unitary",
      "upperBounds",
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      "zero_apply",
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      "AddCommGroup.toIntModule",
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      "AddCommMonoid.nat_isScalarTower",
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      "AddGroup.existsAddOfLE",
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      "AddGroup.toSubtractionMonoid",
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      "AddMonoid.toAddSemigroup",
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      "AddSubmonoidClass.toAddMonoid._proof_6",
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      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bornology.cobounded",
      "Bornology.mk",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "BoundedOrder.toOrderTop",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.spectrum_zero_eq",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.instNonnegSpectrumClass'",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.mul_apply",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.mul_star_self_eq_zero_iff",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "Cardinal",
      "Cardinal.aleph0",
      "Cardinal.commSemiring",
      "Cardinal.instLE",
      "Cardinal.instMul",
      "Cardinal.instNatCast",
      "Cardinal.instOne",
      "Cardinal.isOrderedRing",
      "Cardinal.lift",
      "Cardinal.lift_aleph0",
      "Cardinal.lift_mk_eq'",
      "Cardinal.lift_mk_le'",
      "Cardinal.lift_natCast",
      "Cardinal.lift_ofNat",
      "Cardinal.lift_uzero",
      "Cardinal.linearOrder",
      "Cardinal.mk",
      "Cardinal.mk_fintype",
      "Cardinal.mk_mul_aleph0_eq",
      "Cardinal.mk_nat",
      "Cardinal.mk_prod",
      "Cardinal.natCast_lt_aleph0",
      "Cardinal.partialOrder",
      "Cardinal.two_le_iff_one_lt",
      "CauchyFilter",
      "CauchyFilter.instUniformSpace",
      "CauchyFilter.pureCauchy",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choice",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_forall",
      "Classical.not_imp._simp_2",
      "Classical.not_not",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.closure_top",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.isClosed_iff",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toCommMonoid",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "Compl.compl",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toBoundedOrder",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toCompleteSemilatticeSup",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteLattice.toLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSemilatticeSup.toSupSet",
      "CompleteSpace",
      "CompletelyNormalSpace.toNormalSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.exists_norm_eq_mul_self",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instCompleteSpace",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instProperSpace",
      "Complex.instRCLike",
      "Complex.instRatCast",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_I",
      "Complex.norm_div",
      "Complex.norm_ofNat",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.orderClosedTopology",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_add_im",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "Complex.zero_re",
      "Con.toSetoid",
      "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
      "ConditionallyCompleteLattice.toLattice",
      "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice",
      "ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup",
      "ConditionallyCompletePartialOrderSup.toPartialOrder",
      "ConditionallyCompletePartialOrderSup.toSupSet",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.comp'",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.norm",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv",
      "ContinuousLinearEquiv.continuous",
      "ContinuousLinearEquiv.continuousSemilinearEquivClass",
      "ContinuousLinearEquiv.equivLike",
      "ContinuousLinearEquiv.injective",
      "ContinuousLinearEquiv.mk",
      "ContinuousLinearEquiv.symm",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearEquiv.toLinearEquiv",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.codRestrict",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.eq_zero_of_forall_hasEigenvalue_eq_zero",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.finite_dimensional_eigenspace",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.map_tsum",
      "ContinuousLinearMap.map_zero",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.opNorm_zero",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.sum_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.toSpanSingleton",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousLinearMapWOT",
      "ContinuousLinearMapWOT.continuous_dual_apply",
      "ContinuousLinearMapWOT.inducingFn",
      "ContinuousLinearMapWOT.instAddCommGroup",
      "ContinuousLinearMapWOT.instFunLike",
      "ContinuousLinearMapWOT.instModule",
      "ContinuousLinearMapWOT.instTopologicalSpace",
      "ContinuousLinearMapWOT.isInducing_inducingFn",
      "ContinuousLinearMapWOT.ofCLM",
      "ContinuousLinearMapWOT.toCLM",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.mul",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSMul.continuousConstSMul",
      "ContinuousSemilinearEquivClass.continuousSemilinearMapClass",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "ContinuousStar.continuous_star",
      "Convex",
      "Countable.exists_injective_nat",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "DFunLike.ext",
      "Decidable",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "Dense",
      "Dense.closure_eq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.equalizer",
      "DenseRange.induction_on",
      "DenseRange.induction_on₂",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Directed",
      "DiscreteTopology",
      "Disjoint",
      "Dist.dist",
      "Dist.mk",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction",
      "DistribMulAction.mk",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom",
      "DistribMulActionHom.map_add'",
      "DistribMulActionHom.mk",
      "DistribMulActionHom.toMulActionHom",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.isSimpleRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRatCast",
      "DivisionRing.toRing",
      "DivisionSemiring.isPrincipalIdealRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instIsCountablyGeneratedUniformity",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "ENNReal.ofReal",
      "ENNReal.top_ne_zero._simp_1",
      "ENat",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.subset",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Eq.trans_ne",
      "Equiv",
      "Equiv.Perm.star",
      "Equiv.apply_symm_apply",
      "Equiv.ext",
      "Equiv.injective",
      "Equiv.instEquivLike",
      "Equiv.invFun",
      "Equiv.left_inv",
      "Equiv.mk",
      "Equiv.ofBijective",
      "Equiv.piCongrLeft'",
      "Equiv.piCongrLeft_apply_apply",
      "Equiv.prodComm",
      "Equiv.refl",
      "Equiv.right_inv",
      "Equiv.surjective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "Equiv.symm_image_image",
      "Equiv.toFun",
      "Equiv.trans",
      "EquivLike.toFunLike",
      "Equivalence",
      "Equivalence.mk",
      "Equivalence.refl",
      "Equivalence.symm",
      "Equivalence.trans",
      "EuclideanDomain.toNontrivial",
      "EuclideanDomain.to_principal_ideal_domain",
      "EuclideanSpace",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "ExistsUnique",
      "False",
      "False.elim",
      "Field",
      "Field.instIsLocalRing",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toEuclideanDomain",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.neBot",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsApproximateUnit.tendsto_mul_right",
      "Filter.IsIncreasingApproximateUnit",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.smul",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.cofinite",
      "Filter.comap",
      "Filter.instInfSet",
      "Filter.instMembership",
      "Filter.instPartialOrder",
      "Filter.lift'",
      "Filter.mp_mem",
      "Filter.principal",
      "Filter.sets",
      "Filter.univ_mem'",
      "Fin",
      "Fin.ext_iff",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.isLt",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.complete",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.proper_real",
      "FiniteDimensional.rclike_to_real",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.Subtype.fintype",
      "Finset.card",
      "Finset.card_singleton",
      "Finset.decidableMem",
      "Finset.decidableMem'",
      "Finset.finite_toSet",
      "Finset.induction",
      "Finset.induction_on",
      "Finset.instEmptyCollection",
      "Finset.instHasSubset",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.instSingleton",
      "Finset.instUnion",
      "Finset.le_sup",
      "Finset.mem_insert",
      "Finset.mem_insert_of_mem",
      "Finset.mem_insert_self",
      "Finset.mem_singleton._simp_1",
      "Finset.mem_union_left",
      "Finset.mem_union_right",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.notMem_empty._simp_1",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.smul_sum",
      "Finset.subset_union_left",
      "Finset.subset_union_right",
      "Finset.sum",
      "Finset.sum_add_distrib",
      "Finset.sum_apply",
      "Finset.sum_comm",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_eq_single",
      "Finset.sum_eq_zero",
      "Finset.sum_insert",
      "Finset.sum_ite_eq",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_mul",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.sum_singleton",
      "Finset.sum_smul",
      "Finset.sum_subset",
      "Finset.sup",
      "Finset.sup_empty",
      "Finset.sup_insert",
      "Finset.sup_le",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Finset.univ_unique",
      "Finsupp",
      "Finsupp.ext",
      "Finsupp.instAdd",
      "Finsupp.instAddCommGroup",
      "Finsupp.instAddCommMonoid",
      "Finsupp.instFunLike",
      "Finsupp.instSub",
      "Finsupp.instZero",
      "Finsupp.linearCombination",
      "Finsupp.mapRange",
      "Finsupp.mapRange.congr_simp",
      "Finsupp.mapRange_mapRange",
      "Finsupp.mapRange_mapRange._proof_1",
      "Finsupp.mem_support_iff",
      "Finsupp.module",
      "Finsupp.single",
      "Finsupp.single_eq_of_ne",
      "Finsupp.single_eq_same",
      "Finsupp.single_sub",
      "Finsupp.smulZeroClass",
      "Finsupp.smul_single",
      "Finsupp.support",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "Fintype.linearIndependent_iffₛ",
      "Fintype.ofFinite",
      "Fintype.sum_option",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Bijective",
      "Function.Embedding",
      "Function.Embedding.injective",
      "Function.Embedding.mk",
      "Function.Injective",
      "Function.Injective.comp",
      "Function.Injective.eq_iff",
      "Function.Injective.ne",
      "Function.Involutive",
      "Function.LeftInverse",
      "Function.RightInverse",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.Surjective.range_comp",
      "Function.comp",
      "Function.hasSMul",
      "Function.instFunLikeEmbedding",
      "Function.support",
      "Function.update",
      "Function.update_of_ne",
      "Function.update_self",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasEquiv.Equiv",
      "HasQuotient.Quotient",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.antisymm",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.summable",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "HilbertBasis",
      "HilbertBasis.dense_span",
      "HilbertBasis.hasSum_repr",
      "HilbertBasis.instFunLike",
      "HilbertBasis.mk",
      "HilbertBasis.orthonormal",
      "HilbertBasis.repr",
      "HilbertBasis.repr_apply_apply",
      "HilbertBasis.toOrthonormalBasis",
      "Homeomorph",
      "Homeomorph.continuous",
      "Homeomorph.injective",
      "Homeomorph.instEquivLike",
      "Homeomorph.mk",
      "Homeomorph.symm",
      "Homeomorph.toEquiv",
      "Homeomorph.trans",
      "Ideal.instIsTorsionFreeSubtypeMemSubmodule",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.of_eq",
      "Iff.rfl",
      "Iff.symm",
      "Iff.trans",
      "Infinite",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rankOne_comp_rankOne",
      "InnerProductSpace.rankOne_def'",
      "InnerProductSpace.rankOne_ne_zero",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toDual",
      "InnerProductSpace.toDual_symm_apply",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.add_one_le_of_lt",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instLEInt",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.instSub",
      "Int.mul",
      "Int.natCast_add",
      "Int.natCast_nonneg",
      "Int.negOfNat",
      "Int.negSucc",
      "Int.ofNat",
      "Int.rawCast",
      "Int.sub_nonneg_of_le",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsCancelMulZero.toIsRightCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.completeSpace_coe",
      "IsClosed.inter",
      "IsClosed.isOpen_compl",
      "IsClosed.mem_of_tendsto",
      "IsClosed.mk",
      "IsClosed.preimage",
      "IsCoatom",
      "IsCompact",
      "IsCompact.exists_isMaxOn",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.finite",
      "IsCompact.inter_right",
      "IsCompact.nonempty_iInter_of_directed_nonempty_isCompact_isClosed",
      "IsCompact.of_isClosed_subset",
      "IsCompact.totallyBounded",
      "IsCompactOperator",
      "IsCompactOperator.add",
      "IsCompactOperator.clm_comp",
      "IsCompactOperator.comp_clm",
      "IsCompactOperator.hasEigenvalue_iff_mem_spectrum",
      "IsCompactOperator.hasEigenvalue_or_mem_resolventSet",
      "IsCompactOperator.image_closedBall_subset_compact",
      "IsCompactOperator.neg",
      "IsCompactOperator.restrict'",
      "IsCompactOperator.smul",
      "IsConcreteLE",
      "IsDiscrete",
      "IsDiscrete.mono",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsEmpty.forall_iff._simp_1",
      "IsEmpty.mk",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.extremePoints_subset_extremePoints",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsIdempotentElem.eq_1",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsLocalRing.toNontrivial",
      "IsMaxOn",
      "IsModuleTopology.toContinuousSMul",
      "IsNoetherianRing.strongRankCondition",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOpen.preimage",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.cfcₙ",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.isSymmetric",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsSimpleRing.instNontrivial",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarNormal.map",
      "IsStarNormal.norm_add_eq_max",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.le_iff_mul_eq_right",
      "IsStarProjection.le_iff_sub",
      "IsStarProjection.map",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.toContinuousNeg",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsTopologicalSemiring.toIsModuleTopology",
      "IsUniformAddGroup",
      "IsUniformAddGroup.to_topologicalAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.dist_eq",
      "Isometry.injective",
      "Isometry.isClosedEmbedding",
      "LE",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_eq",
      "LE.le.trans_lt",
      "LE.mk",
      "LT.lt",
      "LT.lt.false",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "LT.mk",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Lean.Omega.Coeffs.ofList",
      "Lean.Omega.Constraint.addInequality_sat",
      "Lean.Omega.Constraint.combine_sat'",
      "Lean.Omega.Constraint.isImpossible",
      "Lean.Omega.Constraint.mk",
      "Lean.Omega.Constraint.not_sat'_of_isImpossible",
      "Lean.Omega.Int.add_congr",
      "Lean.Omega.Int.ofNat_le_of_le",
      "Lean.Omega.Int.ofNat_lt_of_lt",
      "Lean.Omega.Int.sub_congr",
      "Lean.Omega.LinearCombo",
      "Lean.Omega.LinearCombo.add_eval",
      "Lean.Omega.LinearCombo.coordinate",
      "Lean.Omega.LinearCombo.coordinate_eval_0",
      "Lean.Omega.LinearCombo.coordinate_eval_1",
      "Lean.Omega.LinearCombo.coordinate_eval_2",
      "Lean.Omega.LinearCombo.coordinate_eval_3",
      "Lean.Omega.LinearCombo.coordinate_eval_4",
      "Lean.Omega.LinearCombo.eval",
      "Lean.Omega.LinearCombo.instAdd",
      "Lean.Omega.LinearCombo.instSub",
      "Lean.Omega.LinearCombo.mk",
      "Lean.Omega.LinearCombo.sub_eval",
      "Lean.Omega.combo_sat'",
      "Lean.Omega.tidy_sat",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.apply_symm_apply",
      "LinearEquiv.continuous_symm",
      "LinearEquiv.injective",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.instSemilinearEquivClass",
      "LinearEquiv.map_add",
      "LinearEquiv.map_smul",
      "LinearEquiv.map_smulₛₗ",
      "LinearEquiv.mk",
      "LinearEquiv.refl",
      "LinearEquiv.surjective",
      "LinearEquiv.symm",
      "LinearEquiv.symm_apply_apply",
      "LinearEquiv.toContinuousLinearEquivOfContinuous",
      "LinearEquiv.toEquiv",
      "LinearEquiv.toLinearMap",
      "LinearIndependent",
      "LinearIndependent.eq_of_pair",
      "LinearIndependent.finite",
      "LinearIndependent.ne_zero",
      "LinearIndependent.pair_iff'",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometry.isometry",
      "LinearIsometry.toLinearMap",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.mk",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.refl",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.trans",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.IsSymmetric.invariant_orthogonalComplement_eigenspace",
      "LinearMap.IsSymmetric.orthogonalFamily_eigenspaces",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.coe_sum",
      "LinearMap.comp",
      "LinearMap.congr_fun",
      "LinearMap.continuous_iff_isClosed_ker",
      "LinearMap.continuous_of_seq_closed_graph",
      "LinearMap.exists_extend",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.finiteDimensional_range",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.isCoatom_ker_of_surjective",
      "LinearMap.isometryOfInner",
      "LinearMap.ker",
      "LinearMap.ker_pi",
      "LinearMap.ker_zero",
      "LinearMap.map_smulₛₗ",
      "LinearMap.mem_ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.pi",
      "LinearMap.quotKerEquivRange",
      "LinearMap.quotKerEquivRange_symm_apply_image",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.restrict",
      "LinearMap.semilinearMapClass",
      "LinearMap.sum_apply",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toDecidableLT",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "LinearOrderedSemiField.toDenselyOrdered",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "LocallyConvexSpace",
      "Mathlib.Meta.NormNum.IsInt.neg_to_eq",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_eq_false",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_eq_true",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.natCast_nonneg",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Push.not_forall_eq",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.atom_pf'",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Matrix.cons_val_fin_one",
      "Matrix.of",
      "Matrix.vecCons",
      "Matrix.vecEmpty",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.continuous_iff",
      "Metric.denseRange_iff",
      "Metric.dense_iff",
      "Metric.isOpen_ball",
      "Metric.isOpen_iff",
      "Metric.mem_ball",
      "Metric.mem_ball._simp_1",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "Metric.totallyBounded_iff",
      "MetricSpace",
      "MetricSpace.mk",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.Basis",
      "Module.Basis.coord",
      "Module.Basis.instFunLike",
      "Module.Basis.linearIndependent",
      "Module.Basis.mem_span_image",
      "Module.Basis.mk",
      "Module.Basis.mk_apply",
      "Module.Basis.ne_zero",
      "Module.Basis.repr",
      "Module.Basis.repr_linearCombination",
      "Module.Basis.repr_self",
      "Module.Basis.repr_symm_apply",
      "Module.Basis.span_eq",
      "Module.Basis.unitsSMul",
      "Module.Basis.unitsSMul_apply",
      "Module.End",
      "Module.End.HasEigenvalue",
      "Module.End.HasEigenvalue.exists_hasEigenvector",
      "Module.End.HasEigenvector",
      "Module.End.eigenspace",
      "Module.End.genEigenspace",
      "Module.End.hasEigenvalue_of_hasEigenvector",
      "Module.End.mem_eigenspace_iff",
      "Module.Finite",
      "Module.Finite.of_basis",
      "Module.Finite.of_surjective",
      "Module.Finite.top",
      "Module.Free.ChooseBasisIndex",
      "Module.Free.chooseBasis",
      "Module.Free.of_divisionRing",
      "Module.Free.rank_eq_card_chooseBasisIndex",
      "Module.complexToReal",
      "Module.finBasis",
      "Module.finrank",
      "Module.finrank_eq_card_basis",
      "Module.mk",
      "Module.rank",
      "Module.rank_lt_aleph0_iff",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "Mul.mk",
      "MulAction",
      "MulAction.mk",
      "MulAction.toSemigroupAction",
      "MulActionHom",
      "MulActionHom.map_smul'",
      "MulActionHom.mk",
      "MulActionHom.toFun",
      "MulActionSemiHomClass.map_smulₛₗ",
      "MulActionWithZero.toSMulWithZero",
      "MulHom",
      "MulHom.funLike",
      "MulHomClass.toMulHom",
      "MulMemClass.toSemigroup",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNNorm.nnnorm",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.coe_le_coe",
      "NNReal.coe_max",
      "NNReal.coe_nonneg",
      "NNReal.eq",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCanonicallyOrderedAdd",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instLinearOrder",
      "NNReal.instOrderBot",
      "NNReal.instPartialOrder",
      "NNReal.instSemilatticeSup",
      "NNReal.instSemiring",
      "NNReal.instZero",
      "NNReal.sqrt",
      "NNReal.toReal",
      "NNReal.zero_le_coe._simp_1",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.below",
      "Nat.ble",
      "Nat.brecOn",
      "Nat.casesOn",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_add._simp_1",
      "Nat.cast_inj._simp_1",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.decLt",
      "Nat.decidableBallLT",
      "Nat.factorial",
      "Nat.find",
      "Nat.find_min'",
      "Nat.find_spec",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instLinearOrder",
      "Nat.instMax",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_induction",
      "Nat.le_of_lt",
      "Nat.le_of_not_lt",
      "Nat.le_refl",
      "Nat.lt_or_gt_of_ne",
      "Nat.lt_succ_self",
      "Nat.mul",
      "Nat.ofNat_pos._simp_1",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.strong_induction_on",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.mk",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.comp._proof_2",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHom.toDistribMulActionHom",
      "NonUnitalAlgHomClass",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.norm_quasispectrum_le",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing",
      "NonUnitalNonAssocRing.left_distrib",
      "NonUnitalNonAssocRing.mk",
      "NonUnitalNonAssocRing.mul_zero",
      "NonUnitalNonAssocRing.right_distrib",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toMul",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.zero_mul",
      "NonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.mk",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing",
      "NonUnitalRing.mk",
      "NonUnitalRing.mul_assoc",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.codRestrict",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.isometry",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mem_range",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.norm_map",
      "NonUnitalStarAlgHom.range",
      "NonUnitalStarAlgHom.rangeRestrict",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarAlgebra.instCompleteLatticeNonUnitalStarSubalgebra",
      "NonUnitalStarRingHomClass.toStarHomClass",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.ext",
      "NonUnitalStarSubalgebra.instIsTopologicalSemiring",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instPartialOrder",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.mk",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra._proof_4",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra._proof_5",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebra.toNonUnitalRing._proof_1",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring._proof_1",
      "NonUnitalStarSubalgebra.toNonUnitalSubalgebra",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebra.mk",
      "NonUnitalSubalgebra.toNonUnitalSubsemiring",
      "NonUnitalSubalgebra.toSubmodule",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiring.mk",
      "NonUnitalSubsemiring.toSubsemigroup",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.mulMemClass",
      "NonUnitalSubsemiringClass.toAddSubmonoidClass",
      "NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring",
      "Nonempty",
      "Nonempty.casesOn",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "NonnegSpectrumClass.quasispectrum_nonneg_of_nonneg",
      "Nontrivial",
      "Nontrivial.mk",
      "Nontrivial.to_nonempty",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.mk",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.dist_eq",
      "NormedAddCommGroup.dist_eq._autoParam",
      "NormedAddCommGroup.mk",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.mk",
      "NormedSpace.norm_normalize",
      "NormedSpace.normalize",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Option",
      "Option.elim'",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Or.resolve_right",
      "Order.Frame.toHeytingAlgebra",
      "Order.IsIdeal.Directed",
      "Order.IsIdeal.IsLowerSet",
      "Order.IsIdeal.Nonempty",
      "Order.IsPFilter",
      "Order.IsPFilter.of_def",
      "OrderBot.toBot",
      "OrderDual",
      "OrderDual.instLE",
      "OrderDual.ofDual",
      "OrderHom",
      "OrderHom.instFunLike",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderIso.apply_symm_apply",
      "OrderIso.injective",
      "OrderIso.map_iSup",
      "OrderIso.map_sup",
      "OrderIso.map_top",
      "OrderIso.monotone",
      "OrderIso.symm",
      "OrderIso.symm_apply_apply",
      "OrderIso.trans",
      "OrderTop.toTop",
      "Orthonormal.comp",
      "Orthonormal.linearIndependent",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.repr",
      "OrthonormalBasis.repr_apply_apply",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "OrthonormalBasis.sum_repr",
      "OrthonormalBasis.sum_repr'",
      "OrthonormalBasis.toBasis",
      "PUnit.fintype",
      "PUnit.instUnique",
      "PUnit.unit",
      "Pairwise",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.Function.module",
      "Pi.addCommGroup",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instNeg",
      "Pi.instSMul",
      "Pi.instSub",
      "Pi.instZero",
      "Pi.isScalarTower",
      "Pi.single",
      "Pi.single_apply",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "Pi.topologicalSpace",
      "PiLp.innerProductSpace._proof_1",
      "PiLp.seminormedAddCommGroup",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "PreLp.unique",
      "Preorder",
      "Preorder.mk",
      "Preorder.toLE",
      "Preorder.toLT",
      "PrincipalIdealRing.isNoetherianRing",
      "Prod",
      "Prod.algebra",
      "Prod.casesOn",
      "Prod.ext",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.swap",
      "Prod.swap_swap",
      "Prod.toNorm",
      "Projectivization",
      "Projectivization.Independent",
      "Projectivization.Independent.mk",
      "Projectivization.Subspace",
      "Projectivization.Subspace.instCompleteLattice",
      "Projectivization.Subspace.instPartialOrder",
      "Projectivization.Subspace.instSetLike",
      "Projectivization.Subspace.mem_add",
      "Projectivization.Subspace.mem_submodule_iff",
      "Projectivization.Subspace.mk",
      "Projectivization.Subspace.span",
      "Projectivization.Subspace.spanCarrier",
      "Projectivization.Subspace.spanCarrier.rec",
      "Projectivization.Subspace.span_coe",
      "Projectivization.Subspace.span_le_span",
      "Projectivization.Subspace.span_le_subspace_iff",
      "Projectivization.Subspace.submodule",
      "Projectivization.Subspace.subset_span",
      "Projectivization.independent_iff",
      "Projectivization.independent_iff_iSupIndep",
      "Projectivization.instNonemptyOfNontrivial",
      "Projectivization.mk",
      "Projectivization.mk.congr_simp",
      "Projectivization.mk_eq_mk_iff'",
      "Projectivization.mk_rep",
      "Projectivization.rep",
      "Projectivization.rep_nonzero",
      "Projectivization.submodule",
      "Projectivization.submodule_eq",
      "Projectivization.submodule_injective",
      "Projectivization.submodule_mk",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.cobounded_sets._autoParam",
      "PseudoMetricSpace.edist_dist._autoParam",
      "PseudoMetricSpace.mk",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "PseudoMetricSpace.uniformity_dist._autoParam",
      "Quot.mk",
      "Quotient",
      "Quotient.eq",
      "Quotient.inductionOn",
      "Quotient.inductionOn₂",
      "Quotient.lift",
      "Quotient.map'",
      "Quotient.mk",
      "Quotient.mk'",
      "Quotient.mk''",
      "Quotient.sound",
      "QuotientModule.Quotient.topologicalSpace",
      "QuotientModule.Quotient.topologicalSpace._proof_1",
      "QuotientModule.Quotient.topologicalSpace._proof_2",
      "QuotientModule.Quotient.topologicalSpace._proof_3",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instCStarRing",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_natCast",
      "RCLike.norm_ofReal",
      "RCLike.norm_sq_eq_def",
      "RCLike.ofReal",
      "RCLike.one_im",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toCompleteSpace",
      "RCLike.toDecidableEq",
      "RCLike.toDenselyNormedField",
      "RCLike.toInnerProductSpaceReal",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.cast",
      "Rat.cast_zero",
      "Rat.commSemiring",
      "Rat.denseRange_cast",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.instOfNat",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instConditionallyCompleteLinearOrder",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInfSet",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.mul_self_sqrt",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.norm_ofNat",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Real.sqrt_sq",
      "RelIso.mk",
      "RelIso.toEquiv",
      "Relation.EqvGen",
      "Relation.EqvGen.rec",
      "Relation.EqvGen.refl",
      "Relation.EqvGen.rel",
      "Relation.EqvGen.setoid",
      "Relation.EqvGen.symm",
      "Relation.EqvGen.trans",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingCon.toCon",
      "RingEquiv",
      "RingEquiv.apply_symm_apply",
      "RingEquiv.ext",
      "RingEquiv.injective",
      "RingEquiv.instEquivLike",
      "RingEquiv.instRingEquivClass",
      "RingEquiv.map_mul",
      "RingEquiv.map_zero",
      "RingEquiv.mk",
      "RingEquiv.refl",
      "RingEquiv.surjective",
      "RingEquiv.symm",
      "RingEquiv.symm_apply_apply",
      "RingEquiv.toEquiv",
      "RingEquiv.toRingHom",
      "RingEquivClass.toNonUnitalRingHomClass",
      "RingEquivClass.toRingHomClass",
      "RingHom",
      "RingHom.ext",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toLinearMapClassNNRat",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomClass.toRingHom",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomCompTriple.right_ids",
      "RingHomInvPair",
      "RingHomInvPair.comp_apply_eq",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.of_ringEquiv",
      "RingHomInvPair.of_ringEquiv_symm",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomIsometric.starRingEnd",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SDiff.sdiff",
      "SMul.mk",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulCommClass.smul_comm",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulMemClass.smul_mem",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "SProd.sprod",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mk",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearEquivClass.instSemilinearMapClass",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNNNorm",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Countable",
      "Set.Countable.mono",
      "Set.Countable.to_subtype",
      "Set.Elem",
      "Set.Finite",
      "Set.Finite.fintype",
      "Set.Finite.image",
      "Set.Finite.insert",
      "Set.Finite.mem_toFinset",
      "Set.Finite.subset",
      "Set.Finite.toFinset",
      "Set.Finite.toFinset.congr_simp",
      "Set.Finite.union",
      "Set.Icc",
      "Set.Ici",
      "Set.Infinite",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Nonempty.to_subtype",
      "Set.Pairwise",
      "Set.Subset.antisymm",
      "Set.Subset.rfl",
      "Set.Subset.trans",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.decidableSingleton",
      "Set.disjoint_left",
      "Set.empty_subset",
      "Set.eq_empty_iff_forall_notMem",
      "Set.eq_univ_iff_forall",
      "Set.ext",
      "Set.ext_iff",
      "Set.extremePoints",
      "Set.finite_empty._simp_1",
      "Set.finite_range",
      "Set.finite_singleton",
      "Set.fintypeEmpty",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.iUnion",
      "Set.image",
      "Set.image_congr",
      "Set.image_empty",
      "Set.image_id",
      "Set.image_image",
      "Set.image_mono",
      "Set.image_pair",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.image_union",
      "Set.instAntisymmSubset",
      "Set.instBooleanAlgebra",
      "Set.instBoundedOrder",
      "Set.instCompl",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instOrderTop",
      "Set.instReflSubset",
      "Set.instSDiff",
      "Set.instSProd",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_compl_iff",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_iUnion₂",
      "Set.mem_image",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_range_self",
      "Set.mem_sInter",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_union",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.not_finite._simp_1",
      "Set.not_nonempty_iff_eq_empty",
      "Set.pairwise_singleton",
      "Set.pi",
      "Set.preimage",
      "Set.preimage_empty",
      "Set.preimage_union",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sInter",
      "Set.sInter_subset_of_mem",
      "Set.sUnion",
      "Set.setOf_forall",
      "Set.singleton_nonempty",
      "Set.singleton_subset_iff",
      "Set.subset_sUnion_of_mem",
      "Set.subset_union_left",
      "Set.subset_union_right",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.toFinite_toFinset",
      "Set.toFinset",
      "Set.toFinset_empty",
      "Set.union_subset",
      "Set.univ",
      "SetLike",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.ext",
      "SetLike.instMembership",
      "SetLike.le_def",
      "SetLike.mem_coe",
      "SetRel.comp",
      "Setoid",
      "Setoid.iseqv",
      "Setoid.mk",
      "Setoid.r",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.mk",
      "Star.star",
      "StarAddMonoid",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv",
      "StarAlgEquiv.apply_symm_apply",
      "StarAlgEquiv.instEquivLike",
      "StarAlgEquiv.instFunLike",
      "StarAlgEquiv.instNonUnitalAlgEquivClass",
      "StarAlgEquiv.instStarRingEquivClass",
      "StarAlgEquiv.mk",
      "StarAlgEquiv.symm",
      "StarAlgEquiv.symm_apply_apply",
      "StarAlgEquiv.toNonUnitalStarAlgHom",
      "StarAlgEquiv.toNonUnitalStarAlgHom_apply",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgEquiv.toStarRingEquiv",
      "StarAlgEquiv.trans",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.instStarAddMonoid",
      "StarMemClass.instStarRing",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingEquiv.mk",
      "StarRingEquiv.toRingEquiv",
      "StarRingEquivClass.instNonUnitalStarRingHomClass",
      "StarRingEquivClass.toRingEquivClass",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "Sub.mk",
      "SubNegMonoid.mk",
      "SubNegMonoid.sub_eq_add_neg._autoParam",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegMonoid.zsmul_neg'._autoParam",
      "SubNegMonoid.zsmul_succ'._autoParam",
      "SubNegMonoid.zsmul_zero'._autoParam",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.Quotient.addCommGroup._aux_1",
      "Submodule.Quotient.addCommGroup._aux_3",
      "Submodule.Quotient.addCommGroup._aux_6",
      "Submodule.Quotient.addCommGroup._proof_10",
      "Submodule.Quotient.addCommGroup._proof_11",
      "Submodule.Quotient.addCommGroup._proof_12",
      "Submodule.Quotient.addCommGroup._proof_5",
      "Submodule.Quotient.addCommGroup._proof_8",
      "Submodule.Quotient.addCommGroup._proof_9",
      "Submodule.Quotient.addCommMonoid",
      "Submodule.Quotient.addMonoid._aux_1",
      "Submodule.Quotient.addMonoid._aux_6",
      "Submodule.Quotient.addMonoid._proof_3",
      "Submodule.Quotient.addMonoid._proof_4",
      "Submodule.Quotient.addMonoid._proof_5",
      "Submodule.Quotient.addMonoid._proof_8",
      "Submodule.Quotient.addMonoid._proof_9",
      "Submodule.Quotient.completeSpace",
      "Submodule.Quotient.distribMulAction'._proof_1",
      "Submodule.Quotient.distribMulAction'._proof_2",
      "Submodule.Quotient.eq",
      "Submodule.Quotient.instSMul'._proof_2",
      "Submodule.Quotient.instZeroQuotient",
      "Submodule.Quotient.mk",
      "Submodule.Quotient.mk_eq_zero",
      "Submodule.Quotient.module",
      "Submodule.Quotient.module'._proof_3",
      "Submodule.Quotient.module'._proof_4",
      "Submodule.Quotient.mulAction'._proof_1",
      "Submodule.Quotient.mulAction'._proof_2",
      "Submodule.Quotient.norm_mk_le",
      "Submodule.Quotient.norm_mk_lt",
      "Submodule.Quotient.normedAddCommGroup",
      "Submodule.Quotient.normedAddCommGroup._proof_1",
      "Submodule.Quotient.normedAddCommGroup._proof_2",
      "Submodule.Quotient.normedSpace",
      "Submodule.Quotient.normedSpace._proof_1",
      "Submodule.Quotient.seminormedAddCommGroup",
      "Submodule.Quotient.seminormedAddCommGroup._aux_1",
      "Submodule.Quotient.seminormedAddCommGroup._aux_11",
      "Submodule.Quotient.seminormedAddCommGroup._aux_17",
      "Submodule.Quotient.seminormedAddCommGroup._aux_3",
      "Submodule.Quotient.seminormedAddCommGroup._aux_8",
      "Submodule.Quotient.seminormedAddCommGroup._proof_10",
      "Submodule.Quotient.seminormedAddCommGroup._proof_13",
      "Submodule.Quotient.seminormedAddCommGroup._proof_14",
      "Submodule.Quotient.seminormedAddCommGroup._proof_15",
      "Submodule.Quotient.seminormedAddCommGroup._proof_16",
      "Submodule.Quotient.seminormedAddCommGroup._proof_19",
      "Submodule.Quotient.seminormedAddCommGroup._proof_20",
      "Submodule.Quotient.seminormedAddCommGroup._proof_5",
      "Submodule.Quotient.seminormedAddCommGroup._proof_6",
      "Submodule.Quotient.seminormedAddCommGroup._proof_7",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.addSubgroupClass",
      "Submodule.addSubmonoidClass",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.closed_of_finiteDimensional",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_bot_iff",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.exists_le_ker_of_notMem",
      "Submodule.ext",
      "Submodule.finiteDimensional_iSup",
      "Submodule.finiteDimensional_of_le",
      "Submodule.finiteDimensional_sup",
      "Submodule.finrank_lt_finrank_of_lt",
      "Submodule.hasQuotient",
      "Submodule.innerProductSpace",
      "Submodule.innerProductSpace._proof_5",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instInfSet",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instOrthogonalCompleteSpace",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.isScalarTower'",
      "Submodule.le_topologicalClosure",
      "Submodule.liftQ",
      "Submodule.liftQL",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_iInf",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_pair",
      "Submodule.mem_span_range_iff_exists_fun",
      "Submodule.mem_span_singleton",
      "Submodule.mem_span_singleton_self",
      "Submodule.mem_sup",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.mkQ",
      "Submodule.mkQL",
      "Submodule.mkQ_surjective",
      "Submodule.mk_mem_projectivization_iff",
      "Submodule.module",
      "Submodule.module._proof_1",
      "Submodule.neg_mem",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.projectivization",
      "Submodule.quotEquivOfEq",
      "Submodule.quotientRel",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_eq_iSup_of_singleton_spans",
      "Submodule.span_le",
      "Submodule.span_singleton_le_iff_mem",
      "Submodule.starProjection",
      "Submodule.starProjection.congr_simp",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_minimal",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_mem",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "Submodule.subtypeL",
      "Submodule.sum_mem",
      "Submodule.topEquiv",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submodule.zero_mem",
      "SubmoduleClass.module",
      "SubmoduleClass.toNormedSpace",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "Subsemigroup",
      "Subsemigroup.instSetLike",
      "Subsemigroup.mul_mem",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.forall",
      "Subtype.instDecidableEq",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.range_coe_subtype",
      "Subtype.val",
      "Subtype.val_injective",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.countable_support",
      "Summable.hasSum",
      "Summable.mul_right",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "Superset",
      "T2Space.t1Space",
      "T3Space.toT0Space",
      "T4Space.t3Space",
      "T5Space.toT1Space",
      "T6Space.toT0Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.mk",
      "TopologicalSpace.ofClosed",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Topology.IsInducing",
      "Topology.IsInducing.closure_eq_preimage_closure_image",
      "Topology.IsInducing.piMap",
      "TotallyBounded",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "TwoSidedIdeal",
      "TwoSidedIdeal.add_mem",
      "TwoSidedIdeal.coe_top",
      "TwoSidedIdeal.ext",
      "TwoSidedIdeal.instAddSubgroupClass",
      "TwoSidedIdeal.instBot",
      "TwoSidedIdeal.instCompleteLattice",
      "TwoSidedIdeal.instInfSet",
      "TwoSidedIdeal.instPartialOrder",
      "TwoSidedIdeal.instSemilatticeInf",
      "TwoSidedIdeal.instTop",
      "TwoSidedIdeal.ker",
      "TwoSidedIdeal.mem_bot",
      "TwoSidedIdeal.mem_iInf",
      "TwoSidedIdeal.mem_inf",
      "TwoSidedIdeal.mem_ker",
      "TwoSidedIdeal.mem_mk'",
      "TwoSidedIdeal.mem_mk'._simp_1",
      "TwoSidedIdeal.mem_top",
      "TwoSidedIdeal.mk'",
      "TwoSidedIdeal.mul_mem_left",
      "TwoSidedIdeal.mul_mem_right",
      "TwoSidedIdeal.neg_mem",
      "TwoSidedIdeal.ringCon",
      "TwoSidedIdeal.setLike",
      "TwoSidedIdeal.zero_mem",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.isUniformAddGroup",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.completelyNormalSpace_of_isCountablyGenerated_uniformity",
      "UniformSpace.mk",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAddGroup",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instCompleteSpace",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarAddMonoid",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.snd_mul",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "Units",
      "Units.instMonoid",
      "Units.instMulAction",
      "Units.instOne",
      "Units.instSMul",
      "Units.mk0",
      "Units.val",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "WithLp.instModule",
      "WithLp.ofLp",
      "Zero",
      "Zero.mk",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass",
      "ZeroMemClass.coe_eq_zero._simp_1",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_assoc",
      "add_comm",
      "add_le_add",
      "add_le_add_right",
      "add_left_cancel",
      "add_left_comm",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_neg_cancel_comm_assoc",
      "add_nonneg",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_cancel",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_inj._simp_1",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "algebraMap.coe_zero",
      "and_congr",
      "and_congr_right",
      "and_self",
      "autoParam",
      "binderNameHint",
      "bot_eq_zero'",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_map_spectrum",
      "cfc_mul",
      "cfc_predicate",
      "cfc_real_eq_complex",
      "cfc_smul",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_add",
      "cfcₙ_commute_cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "cfcₙ_sum_univ",
      "cfcₙ_zero",
      "ciInf_le",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_minimal",
      "closure_singleton",
      "commRing_strongRankCondition",
      "commute_iff_eq",
      "compactOperator",
      "compl_compl",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_apply",
      "continuous_const",
      "continuous_finsetSum",
      "continuous_finset_sum",
      "continuous_fst",
      "continuous_id",
      "continuous_id'",
      "continuous_iff_isClosed",
      "continuous_mul",
      "continuous_norm",
      "continuous_pi",
      "continuous_snd",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "convex_singleton",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "discreteTopology_iff_isOpen_singleton",
      "dist_eq_norm",
      "dist_nonneg",
      "dist_self",
      "dist_zero_left",
      "dist_zero_right",
      "dite",
      "dite_cond_eq_false",
      "dite_cond_eq_true",
      "div_eq_mul_inv",
      "div_le_iff₀",
      "div_le_one",
      "div_lt_iff₀",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_pow",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_sub_iff_add_eq",
      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_hilbertBasis",
      "exists_nat_gt",
      "exists_ne",
      "exists_pair_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "finite_or_infinite",
      "forall_congr",
      "forall_const",
      "forall_eq",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_lt_self",
      "half_lt_self_iff._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "iInf",
      "iSup",
      "iSupIndep",
      "iSupIndep_map_orderIso_iff",
      "iSup_congr_Prop",
      "iSup_image",
      "iSup_le",
      "id",
      "if_neg",
      "if_pos",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_le_left",
      "inf_le_right",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_eq_zero_symm",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_eq_zero",
      "inner_self_ne_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_sum",
      "inner_zero_left",
      "inner_zero_right",
      "inseparableSetoid",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddMonoidWithOneENat",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIciTopology",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqProd",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDecidableOr",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instDistribSMul",
      "instEMetricSpaceSubtype",
      "instFaithfulSMul_1",
      "instFintypeOption",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasEquivOfSetoid",
      "instHasSolidNormReal",
      "instHasSummableGeomSeries",
      "instInhabitedNat",
      "instInhabitedPUnit",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsConcreteLE",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsEmptyFalse",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsSimpleModule",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulActionNatOfAddMonoid",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNatCastInt",
      "instNeZeroNatHAdd_1",
      "instNonUnitalAlgHomClassOfNonUnitalAlgEquivClass",
      "instNonUnitalCStarAlgebraProd",
      "instNonUnitalCStarAlgebraSubtypePreLpMemAddSubgroupLpTopENNReal",
      "instNonemptyOfInhabited",
      "instNonemptyProd",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instPreorderENat",
      "instPseudoEMetricSpaceSubtype",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instSubsingletonSubtype_mathlib",
      "instT2SpaceSubtype",
      "instT4SpaceOfT1SpaceOfNormalSpace",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceProd",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransIff",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "inv_smul_smul₀",
      "isClosed_Ici",
      "isClosed_biInter",
      "isClosed_closure",
      "isClosed_discrete",
      "isClosed_eq",
      "isClosed_iInter",
      "isClosed_le",
      "isClosed_of_closure_subset",
      "isClosed_setOf_isCompactOperator",
      "isClosed_singleton",
      "isClosed_univ",
      "isCompactOperator_of_locallyCompactSpace_dom",
      "isCompactOperator_zero",
      "isDiscrete_iff_forall_exists_isOpen",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isOpen_compl_iff",
      "isOpen_discrete",
      "isOpen_pi_iff",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_iff_eq_starProjection_range",
      "isStarProjection_iff_isIdempotentElem_and_isStarNormal",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_iSup",
      "le_max_left",
      "le_max_right",
      "le_min",
      "le_of_eq",
      "le_of_forall_pos_le_add",
      "le_of_le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "le_total",
      "locallyCompact_of_proper",
      "lowerBounds",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inftyStarRing",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instIsScalarTowerSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instMulSubtypePreLpMemAddSubgroupTopENNReal",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.instStarAddMonoid",
      "lp.instStarSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.nonUnitalNormedRing",
      "lp.nonUnitalRing",
      "lp.norm_apply_le_norm",
      "lp.norm_le_of_forall_le",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lp.single_add",
      "lp.single_smul",
      "lp.single_zero",
      "lt_div_iff₀",
      "lt_irrefl",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_lt",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_lt_of_le",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "lt_trans",
      "map_add",
      "map_div₀",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_natCast",
      "map_neg",
      "map_one",
      "map_pow",
      "map_ratCast",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_closure_iff",
      "mem_extremePoints_iff_left",
      "memℓp_infty",
      "memℓp_infty_iff",
      "min_eq_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mt",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_le_of_le_one_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_right_cancel₀",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_add_eq_zero",
      "neg_add_rev",
      "neg_apply",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_one_smul",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "nnnorm_zero",
      "noConfusion_of_Nat",
      "nontrivial_of_ne",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_div",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_norm_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_exists",
      "not_false",
      "not_false_eq_true",
      "not_le._simp_1",
      "not_le_of_gt",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_ne_iff",
      "not_or",
      "not_or._simp_2",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_false",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "openSegment_symm",
      "optParam",
      "or_comm",
      "or_self",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "rank_le_one_iff",
      "rank_submodule_le_one_iff'",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "resolventSet",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_ne_zero",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.isCompact",
      "spectrum.isOpen_resolventSet",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingAut",
      "starRingEnd",
      "star_div₀",
      "star_eq_zero",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_sum",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_self",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "subset_closure",
      "subsingleton_or_nontrivial",
      "sum_apply",
      "sum_inner",
      "sum_mem",
      "summable_geometric_of_norm_lt_one",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_le",
      "sup_of_le_left",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_iff_dist_tendsto_zero",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "trivial",
      "true_and",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_ite_eq",
      "tsum_star",
      "two_mul",
      "two_smul",
      "uniformity",
      "unitary",
      "upperBounds",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_compactOperatorEquiv": [
      "Add.mk",
      "AddCancelCommMonoid.toAddLeftCancelMonoid",
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.mk",
      "AddCommGroup.toAddCancelCommMonoid",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.mk",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelMonoid.toAddLeftCancelSemigroup",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid",
      "AddMonoid.mk",
      "AddMonoid.nsmul_succ._autoParam",
      "AddMonoid.nsmul_zero._autoParam",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instAddMonoidHomClass",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.isometry_of_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup",
      "AddSemigroup.mk",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.sub",
      "AddSubgroupClass.toAddGroup._proof_6",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass",
      "AddSubmonoidClass.coe_finsetSum",
      "AddSubmonoidClass.toAddMonoid._proof_6",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Antitone",
      "BddAbove",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bornology.cobounded",
      "Bornology.mk",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "BoundedOrder.toOrderTop",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.spectrum_zero_eq",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.instNonnegSpectrumClass'",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.mul_apply",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.mul_star_self_eq_zero_iff",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "Cardinal",
      "Cardinal.aleph0",
      "Cardinal.commSemiring",
      "Cardinal.instLE",
      "Cardinal.instMul",
      "Cardinal.instNatCast",
      "Cardinal.instOne",
      "Cardinal.isOrderedRing",
      "Cardinal.lift",
      "Cardinal.lift_aleph0",
      "Cardinal.lift_mk_eq'",
      "Cardinal.lift_mk_le'",
      "Cardinal.lift_natCast",
      "Cardinal.lift_ofNat",
      "Cardinal.lift_uzero",
      "Cardinal.linearOrder",
      "Cardinal.mk",
      "Cardinal.mk_fintype",
      "Cardinal.mk_mul_aleph0_eq",
      "Cardinal.mk_nat",
      "Cardinal.mk_prod",
      "Cardinal.natCast_lt_aleph0",
      "Cardinal.partialOrder",
      "Cardinal.two_le_iff_one_lt",
      "CauchyFilter",
      "CauchyFilter.instUniformSpace",
      "CauchyFilter.pureCauchy",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choice",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_forall",
      "Classical.not_imp._simp_2",
      "Classical.not_not",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.closure_top",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.isClosed_iff",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toCommMonoid",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "Compl.compl",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toBoundedOrder",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toCompleteSemilatticeSup",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteLattice.toLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSemilatticeSup.toSupSet",
      "CompleteSpace",
      "CompletelyNormalSpace.toNormalSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.exists_norm_eq_mul_self",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instCompleteSpace",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instProperSpace",
      "Complex.instRCLike",
      "Complex.instRatCast",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_I",
      "Complex.norm_div",
      "Complex.norm_ofNat",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.orderClosedTopology",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_add_im",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "Complex.zero_re",
      "Con.toSetoid",
      "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
      "ConditionallyCompleteLattice.toLattice",
      "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice",
      "ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup",
      "ConditionallyCompletePartialOrderSup.toPartialOrder",
      "ConditionallyCompletePartialOrderSup.toSupSet",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.comp'",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.norm",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv",
      "ContinuousLinearEquiv.continuous",
      "ContinuousLinearEquiv.continuousSemilinearEquivClass",
      "ContinuousLinearEquiv.equivLike",
      "ContinuousLinearEquiv.injective",
      "ContinuousLinearEquiv.mk",
      "ContinuousLinearEquiv.symm",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearEquiv.toLinearEquiv",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.codRestrict",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.eq_zero_of_forall_hasEigenvalue_eq_zero",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.finite_dimensional_eigenspace",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.map_tsum",
      "ContinuousLinearMap.map_zero",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.opNorm_zero",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.sum_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.toSpanSingleton",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousLinearMapWOT",
      "ContinuousLinearMapWOT.continuous_dual_apply",
      "ContinuousLinearMapWOT.inducingFn",
      "ContinuousLinearMapWOT.instAddCommGroup",
      "ContinuousLinearMapWOT.instFunLike",
      "ContinuousLinearMapWOT.instModule",
      "ContinuousLinearMapWOT.instTopologicalSpace",
      "ContinuousLinearMapWOT.isInducing_inducingFn",
      "ContinuousLinearMapWOT.ofCLM",
      "ContinuousLinearMapWOT.toCLM",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.mul",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSMul.continuousConstSMul",
      "ContinuousSemilinearEquivClass.continuousSemilinearMapClass",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "ContinuousStar.continuous_star",
      "Convex",
      "Countable.exists_injective_nat",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "DFunLike.ext",
      "Decidable",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "Dense",
      "Dense.closure_eq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.equalizer",
      "DenseRange.induction_on",
      "DenseRange.induction_on₂",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Directed",
      "DiscreteTopology",
      "Disjoint",
      "Dist.dist",
      "Dist.mk",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction",
      "DistribMulAction.mk",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom",
      "DistribMulActionHom.map_add'",
      "DistribMulActionHom.mk",
      "DistribMulActionHom.toMulActionHom",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.isSimpleRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRatCast",
      "DivisionRing.toRing",
      "DivisionSemiring.isPrincipalIdealRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instIsCountablyGeneratedUniformity",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "ENNReal.ofReal",
      "ENNReal.top_ne_zero._simp_1",
      "ENat",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.subset",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Eq.trans_ne",
      "Equiv",
      "Equiv.Perm.star",
      "Equiv.apply_symm_apply",
      "Equiv.ext",
      "Equiv.injective",
      "Equiv.instEquivLike",
      "Equiv.invFun",
      "Equiv.left_inv",
      "Equiv.mk",
      "Equiv.ofBijective",
      "Equiv.piCongrLeft'",
      "Equiv.piCongrLeft_apply_apply",
      "Equiv.prodComm",
      "Equiv.refl",
      "Equiv.right_inv",
      "Equiv.surjective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "Equiv.symm_image_image",
      "Equiv.toFun",
      "Equiv.trans",
      "EquivLike.toFunLike",
      "Equivalence",
      "Equivalence.mk",
      "Equivalence.refl",
      "Equivalence.symm",
      "Equivalence.trans",
      "EuclideanDomain.toNontrivial",
      "EuclideanDomain.to_principal_ideal_domain",
      "EuclideanSpace",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "ExistsUnique",
      "False",
      "False.elim",
      "Field",
      "Field.instIsLocalRing",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toEuclideanDomain",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.neBot",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsApproximateUnit.tendsto_mul_right",
      "Filter.IsIncreasingApproximateUnit",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.smul",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.cofinite",
      "Filter.comap",
      "Filter.instInfSet",
      "Filter.instMembership",
      "Filter.instPartialOrder",
      "Filter.lift'",
      "Filter.mp_mem",
      "Filter.principal",
      "Filter.sets",
      "Filter.univ_mem'",
      "Fin",
      "Fin.ext_iff",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.isLt",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.complete",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.proper_real",
      "FiniteDimensional.rclike_to_real",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.Subtype.fintype",
      "Finset.card",
      "Finset.card_singleton",
      "Finset.decidableMem",
      "Finset.decidableMem'",
      "Finset.finite_toSet",
      "Finset.induction",
      "Finset.induction_on",
      "Finset.instEmptyCollection",
      "Finset.instHasSubset",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.instSingleton",
      "Finset.instUnion",
      "Finset.le_sup",
      "Finset.mem_insert",
      "Finset.mem_insert_of_mem",
      "Finset.mem_insert_self",
      "Finset.mem_singleton._simp_1",
      "Finset.mem_union_left",
      "Finset.mem_union_right",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.notMem_empty._simp_1",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.smul_sum",
      "Finset.subset_union_left",
      "Finset.subset_union_right",
      "Finset.sum",
      "Finset.sum_add_distrib",
      "Finset.sum_apply",
      "Finset.sum_comm",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_eq_single",
      "Finset.sum_eq_zero",
      "Finset.sum_insert",
      "Finset.sum_ite_eq",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_mul",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.sum_singleton",
      "Finset.sum_smul",
      "Finset.sum_subset",
      "Finset.sup",
      "Finset.sup_empty",
      "Finset.sup_insert",
      "Finset.sup_le",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Finset.univ_unique",
      "Finsupp",
      "Finsupp.ext",
      "Finsupp.instAdd",
      "Finsupp.instAddCommGroup",
      "Finsupp.instAddCommMonoid",
      "Finsupp.instFunLike",
      "Finsupp.instSub",
      "Finsupp.instZero",
      "Finsupp.linearCombination",
      "Finsupp.mapRange",
      "Finsupp.mapRange.congr_simp",
      "Finsupp.mapRange_mapRange",
      "Finsupp.mapRange_mapRange._proof_1",
      "Finsupp.mem_support_iff",
      "Finsupp.module",
      "Finsupp.single",
      "Finsupp.single_eq_of_ne",
      "Finsupp.single_eq_same",
      "Finsupp.single_sub",
      "Finsupp.smulZeroClass",
      "Finsupp.smul_single",
      "Finsupp.support",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "Fintype.linearIndependent_iffₛ",
      "Fintype.ofFinite",
      "Fintype.sum_option",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Bijective",
      "Function.Embedding",
      "Function.Embedding.injective",
      "Function.Embedding.mk",
      "Function.Injective",
      "Function.Injective.comp",
      "Function.Injective.eq_iff",
      "Function.Injective.ne",
      "Function.Involutive",
      "Function.LeftInverse",
      "Function.RightInverse",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.Surjective.range_comp",
      "Function.comp",
      "Function.hasSMul",
      "Function.instFunLikeEmbedding",
      "Function.support",
      "Function.update",
      "Function.update_of_ne",
      "Function.update_self",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasEquiv.Equiv",
      "HasQuotient.Quotient",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.antisymm",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.summable",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "HilbertBasis",
      "HilbertBasis.dense_span",
      "HilbertBasis.hasSum_repr",
      "HilbertBasis.instFunLike",
      "HilbertBasis.mk",
      "HilbertBasis.orthonormal",
      "HilbertBasis.repr",
      "HilbertBasis.repr_apply_apply",
      "HilbertBasis.toOrthonormalBasis",
      "Homeomorph",
      "Homeomorph.continuous",
      "Homeomorph.injective",
      "Homeomorph.instEquivLike",
      "Homeomorph.mk",
      "Homeomorph.symm",
      "Homeomorph.toEquiv",
      "Homeomorph.trans",
      "Ideal.instIsTorsionFreeSubtypeMemSubmodule",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.of_eq",
      "Iff.rfl",
      "Iff.symm",
      "Iff.trans",
      "Infinite",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rankOne_comp_rankOne",
      "InnerProductSpace.rankOne_def'",
      "InnerProductSpace.rankOne_ne_zero",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toDual",
      "InnerProductSpace.toDual_symm_apply",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.add_one_le_of_lt",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instLEInt",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.instSub",
      "Int.mul",
      "Int.natCast_add",
      "Int.natCast_nonneg",
      "Int.negOfNat",
      "Int.negSucc",
      "Int.ofNat",
      "Int.rawCast",
      "Int.sub_nonneg_of_le",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsCancelMulZero.toIsRightCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.completeSpace_coe",
      "IsClosed.inter",
      "IsClosed.isOpen_compl",
      "IsClosed.mem_of_tendsto",
      "IsClosed.mk",
      "IsClosed.preimage",
      "IsCoatom",
      "IsCompact",
      "IsCompact.exists_isMaxOn",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.finite",
      "IsCompact.inter_right",
      "IsCompact.nonempty_iInter_of_directed_nonempty_isCompact_isClosed",
      "IsCompact.of_isClosed_subset",
      "IsCompact.totallyBounded",
      "IsCompactOperator",
      "IsCompactOperator.add",
      "IsCompactOperator.clm_comp",
      "IsCompactOperator.comp_clm",
      "IsCompactOperator.hasEigenvalue_iff_mem_spectrum",
      "IsCompactOperator.hasEigenvalue_or_mem_resolventSet",
      "IsCompactOperator.image_closedBall_subset_compact",
      "IsCompactOperator.neg",
      "IsCompactOperator.restrict'",
      "IsCompactOperator.smul",
      "IsConcreteLE",
      "IsDiscrete",
      "IsDiscrete.mono",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsEmpty.forall_iff._simp_1",
      "IsEmpty.mk",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.extremePoints_subset_extremePoints",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsIdempotentElem.eq_1",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsLocalRing.toNontrivial",
      "IsMaxOn",
      "IsModuleTopology.toContinuousSMul",
      "IsNoetherianRing.strongRankCondition",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOpen.preimage",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.cfcₙ",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.isSymmetric",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsSimpleRing.instNontrivial",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarNormal.map",
      "IsStarNormal.norm_add_eq_max",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.le_iff_mul_eq_right",
      "IsStarProjection.le_iff_sub",
      "IsStarProjection.map",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.toContinuousNeg",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsTopologicalSemiring.toIsModuleTopology",
      "IsUniformAddGroup",
      "IsUniformAddGroup.to_topologicalAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.dist_eq",
      "Isometry.injective",
      "Isometry.isClosedEmbedding",
      "LE",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_eq",
      "LE.le.trans_lt",
      "LE.mk",
      "LT.lt",
      "LT.lt.false",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "LT.mk",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Lean.Omega.Coeffs.ofList",
      "Lean.Omega.Constraint.addInequality_sat",
      "Lean.Omega.Constraint.combine_sat'",
      "Lean.Omega.Constraint.isImpossible",
      "Lean.Omega.Constraint.mk",
      "Lean.Omega.Constraint.not_sat'_of_isImpossible",
      "Lean.Omega.Int.add_congr",
      "Lean.Omega.Int.ofNat_le_of_le",
      "Lean.Omega.Int.ofNat_lt_of_lt",
      "Lean.Omega.Int.sub_congr",
      "Lean.Omega.LinearCombo",
      "Lean.Omega.LinearCombo.add_eval",
      "Lean.Omega.LinearCombo.coordinate",
      "Lean.Omega.LinearCombo.coordinate_eval_0",
      "Lean.Omega.LinearCombo.coordinate_eval_1",
      "Lean.Omega.LinearCombo.coordinate_eval_2",
      "Lean.Omega.LinearCombo.coordinate_eval_3",
      "Lean.Omega.LinearCombo.coordinate_eval_4",
      "Lean.Omega.LinearCombo.eval",
      "Lean.Omega.LinearCombo.instAdd",
      "Lean.Omega.LinearCombo.instSub",
      "Lean.Omega.LinearCombo.mk",
      "Lean.Omega.LinearCombo.sub_eval",
      "Lean.Omega.combo_sat'",
      "Lean.Omega.tidy_sat",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.apply_symm_apply",
      "LinearEquiv.continuous_symm",
      "LinearEquiv.injective",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.instSemilinearEquivClass",
      "LinearEquiv.map_add",
      "LinearEquiv.map_smul",
      "LinearEquiv.map_smulₛₗ",
      "LinearEquiv.mk",
      "LinearEquiv.refl",
      "LinearEquiv.surjective",
      "LinearEquiv.symm",
      "LinearEquiv.symm_apply_apply",
      "LinearEquiv.toContinuousLinearEquivOfContinuous",
      "LinearEquiv.toEquiv",
      "LinearEquiv.toLinearMap",
      "LinearIndependent",
      "LinearIndependent.eq_of_pair",
      "LinearIndependent.finite",
      "LinearIndependent.ne_zero",
      "LinearIndependent.pair_iff'",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometry.isometry",
      "LinearIsometry.toLinearMap",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.mk",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.refl",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.trans",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.IsSymmetric.invariant_orthogonalComplement_eigenspace",
      "LinearMap.IsSymmetric.orthogonalFamily_eigenspaces",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.coe_sum",
      "LinearMap.comp",
      "LinearMap.congr_fun",
      "LinearMap.continuous_iff_isClosed_ker",
      "LinearMap.continuous_of_seq_closed_graph",
      "LinearMap.exists_extend",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.finiteDimensional_range",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.isCoatom_ker_of_surjective",
      "LinearMap.isometryOfInner",
      "LinearMap.ker",
      "LinearMap.ker_pi",
      "LinearMap.ker_zero",
      "LinearMap.map_smulₛₗ",
      "LinearMap.mem_ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.pi",
      "LinearMap.quotKerEquivRange",
      "LinearMap.quotKerEquivRange_symm_apply_image",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.restrict",
      "LinearMap.semilinearMapClass",
      "LinearMap.sum_apply",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toDecidableLT",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "LinearOrderedSemiField.toDenselyOrdered",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "LocallyConvexSpace",
      "Mathlib.Meta.NormNum.IsInt.neg_to_eq",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_eq_false",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_eq_true",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.natCast_nonneg",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Push.not_forall_eq",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.atom_pf'",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Matrix.cons_val_fin_one",
      "Matrix.of",
      "Matrix.vecCons",
      "Matrix.vecEmpty",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.continuous_iff",
      "Metric.denseRange_iff",
      "Metric.dense_iff",
      "Metric.isOpen_ball",
      "Metric.isOpen_iff",
      "Metric.mem_ball",
      "Metric.mem_ball._simp_1",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "Metric.totallyBounded_iff",
      "MetricSpace",
      "MetricSpace.mk",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.Basis",
      "Module.Basis.coord",
      "Module.Basis.instFunLike",
      "Module.Basis.linearIndependent",
      "Module.Basis.mem_span_image",
      "Module.Basis.mk",
      "Module.Basis.mk_apply",
      "Module.Basis.ne_zero",
      "Module.Basis.repr",
      "Module.Basis.repr_linearCombination",
      "Module.Basis.repr_self",
      "Module.Basis.repr_symm_apply",
      "Module.Basis.span_eq",
      "Module.Basis.unitsSMul",
      "Module.Basis.unitsSMul_apply",
      "Module.End",
      "Module.End.HasEigenvalue",
      "Module.End.HasEigenvalue.exists_hasEigenvector",
      "Module.End.HasEigenvector",
      "Module.End.eigenspace",
      "Module.End.genEigenspace",
      "Module.End.hasEigenvalue_of_hasEigenvector",
      "Module.End.mem_eigenspace_iff",
      "Module.Finite",
      "Module.Finite.of_basis",
      "Module.Finite.of_surjective",
      "Module.Finite.top",
      "Module.Free.ChooseBasisIndex",
      "Module.Free.chooseBasis",
      "Module.Free.of_divisionRing",
      "Module.Free.rank_eq_card_chooseBasisIndex",
      "Module.complexToReal",
      "Module.finBasis",
      "Module.finrank",
      "Module.finrank_eq_card_basis",
      "Module.mk",
      "Module.rank",
      "Module.rank_lt_aleph0_iff",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "Mul.mk",
      "MulAction",
      "MulAction.mk",
      "MulAction.toSemigroupAction",
      "MulActionHom",
      "MulActionHom.map_smul'",
      "MulActionHom.mk",
      "MulActionHom.toFun",
      "MulActionSemiHomClass.map_smulₛₗ",
      "MulActionWithZero.toSMulWithZero",
      "MulHom",
      "MulHom.funLike",
      "MulHomClass.toMulHom",
      "MulMemClass.toSemigroup",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNNorm.nnnorm",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.coe_le_coe",
      "NNReal.coe_max",
      "NNReal.coe_nonneg",
      "NNReal.eq",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCanonicallyOrderedAdd",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instLinearOrder",
      "NNReal.instOrderBot",
      "NNReal.instPartialOrder",
      "NNReal.instSemilatticeSup",
      "NNReal.instSemiring",
      "NNReal.instZero",
      "NNReal.sqrt",
      "NNReal.toReal",
      "NNReal.zero_le_coe._simp_1",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.below",
      "Nat.ble",
      "Nat.brecOn",
      "Nat.casesOn",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_add._simp_1",
      "Nat.cast_inj._simp_1",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.decLt",
      "Nat.decidableBallLT",
      "Nat.factorial",
      "Nat.find",
      "Nat.find_min'",
      "Nat.find_spec",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instLinearOrder",
      "Nat.instMax",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_induction",
      "Nat.le_of_lt",
      "Nat.le_of_not_lt",
      "Nat.le_refl",
      "Nat.lt_or_gt_of_ne",
      "Nat.lt_succ_self",
      "Nat.mul",
      "Nat.ofNat_pos._simp_1",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.strong_induction_on",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.mk",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.comp._proof_2",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHom.toDistribMulActionHom",
      "NonUnitalAlgHomClass",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.norm_quasispectrum_le",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing",
      "NonUnitalNonAssocRing.left_distrib",
      "NonUnitalNonAssocRing.mk",
      "NonUnitalNonAssocRing.mul_zero",
      "NonUnitalNonAssocRing.right_distrib",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toMul",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.zero_mul",
      "NonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.mk",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing",
      "NonUnitalRing.mk",
      "NonUnitalRing.mul_assoc",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.codRestrict",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.isometry",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mem_range",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.norm_map",
      "NonUnitalStarAlgHom.range",
      "NonUnitalStarAlgHom.rangeRestrict",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarAlgebra.instCompleteLatticeNonUnitalStarSubalgebra",
      "NonUnitalStarRingHomClass.toStarHomClass",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.ext",
      "NonUnitalStarSubalgebra.instIsTopologicalSemiring",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instPartialOrder",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.mk",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra._proof_4",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra._proof_5",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebra.toNonUnitalRing._proof_1",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring._proof_1",
      "NonUnitalStarSubalgebra.toNonUnitalSubalgebra",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebra.mk",
      "NonUnitalSubalgebra.toNonUnitalSubsemiring",
      "NonUnitalSubalgebra.toSubmodule",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiring.mk",
      "NonUnitalSubsemiring.toSubsemigroup",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.mulMemClass",
      "NonUnitalSubsemiringClass.toAddSubmonoidClass",
      "NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring",
      "Nonempty",
      "Nonempty.casesOn",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "NonnegSpectrumClass.quasispectrum_nonneg_of_nonneg",
      "Nontrivial",
      "Nontrivial.mk",
      "Nontrivial.to_nonempty",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.mk",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.dist_eq",
      "NormedAddCommGroup.dist_eq._autoParam",
      "NormedAddCommGroup.mk",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.mk",
      "NormedSpace.norm_normalize",
      "NormedSpace.normalize",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Option",
      "Option.elim'",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Or.resolve_right",
      "Order.Frame.toHeytingAlgebra",
      "Order.IsIdeal.Directed",
      "Order.IsIdeal.IsLowerSet",
      "Order.IsIdeal.Nonempty",
      "Order.IsPFilter",
      "Order.IsPFilter.of_def",
      "OrderBot.toBot",
      "OrderDual",
      "OrderDual.instLE",
      "OrderDual.ofDual",
      "OrderHom",
      "OrderHom.instFunLike",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderIso.apply_symm_apply",
      "OrderIso.injective",
      "OrderIso.map_iSup",
      "OrderIso.map_sup",
      "OrderIso.map_top",
      "OrderIso.monotone",
      "OrderIso.symm",
      "OrderIso.symm_apply_apply",
      "OrderIso.trans",
      "OrderTop.toTop",
      "Orthonormal.comp",
      "Orthonormal.linearIndependent",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.repr",
      "OrthonormalBasis.repr_apply_apply",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "OrthonormalBasis.sum_repr",
      "OrthonormalBasis.sum_repr'",
      "OrthonormalBasis.toBasis",
      "PUnit.fintype",
      "PUnit.instUnique",
      "PUnit.unit",
      "Pairwise",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.Function.module",
      "Pi.addCommGroup",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instNeg",
      "Pi.instSMul",
      "Pi.instSub",
      "Pi.instZero",
      "Pi.isScalarTower",
      "Pi.single",
      "Pi.single_apply",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "Pi.topologicalSpace",
      "PiLp.innerProductSpace._proof_1",
      "PiLp.seminormedAddCommGroup",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "PreLp.unique",
      "Preorder",
      "Preorder.mk",
      "Preorder.toLE",
      "Preorder.toLT",
      "PrincipalIdealRing.isNoetherianRing",
      "Prod",
      "Prod.algebra",
      "Prod.casesOn",
      "Prod.ext",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.swap",
      "Prod.swap_swap",
      "Prod.toNorm",
      "Projectivization",
      "Projectivization.Independent",
      "Projectivization.Independent.mk",
      "Projectivization.Subspace",
      "Projectivization.Subspace.instCompleteLattice",
      "Projectivization.Subspace.instPartialOrder",
      "Projectivization.Subspace.instSetLike",
      "Projectivization.Subspace.mem_add",
      "Projectivization.Subspace.mem_submodule_iff",
      "Projectivization.Subspace.mk",
      "Projectivization.Subspace.span",
      "Projectivization.Subspace.spanCarrier",
      "Projectivization.Subspace.spanCarrier.rec",
      "Projectivization.Subspace.span_coe",
      "Projectivization.Subspace.span_le_span",
      "Projectivization.Subspace.span_le_subspace_iff",
      "Projectivization.Subspace.submodule",
      "Projectivization.Subspace.subset_span",
      "Projectivization.independent_iff",
      "Projectivization.independent_iff_iSupIndep",
      "Projectivization.instNonemptyOfNontrivial",
      "Projectivization.mk",
      "Projectivization.mk.congr_simp",
      "Projectivization.mk_eq_mk_iff'",
      "Projectivization.mk_rep",
      "Projectivization.rep",
      "Projectivization.rep_nonzero",
      "Projectivization.submodule",
      "Projectivization.submodule_eq",
      "Projectivization.submodule_injective",
      "Projectivization.submodule_mk",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.cobounded_sets._autoParam",
      "PseudoMetricSpace.edist_dist._autoParam",
      "PseudoMetricSpace.mk",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "PseudoMetricSpace.uniformity_dist._autoParam",
      "Quot.mk",
      "Quotient",
      "Quotient.eq",
      "Quotient.inductionOn",
      "Quotient.inductionOn₂",
      "Quotient.lift",
      "Quotient.map'",
      "Quotient.mk",
      "Quotient.mk'",
      "Quotient.mk''",
      "Quotient.sound",
      "QuotientModule.Quotient.topologicalSpace",
      "QuotientModule.Quotient.topologicalSpace._proof_1",
      "QuotientModule.Quotient.topologicalSpace._proof_2",
      "QuotientModule.Quotient.topologicalSpace._proof_3",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instCStarRing",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_natCast",
      "RCLike.norm_ofReal",
      "RCLike.norm_sq_eq_def",
      "RCLike.ofReal",
      "RCLike.one_im",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toCompleteSpace",
      "RCLike.toDecidableEq",
      "RCLike.toDenselyNormedField",
      "RCLike.toInnerProductSpaceReal",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.cast",
      "Rat.cast_zero",
      "Rat.commSemiring",
      "Rat.denseRange_cast",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.instOfNat",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instConditionallyCompleteLinearOrder",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInfSet",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.mul_self_sqrt",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.norm_ofNat",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Real.sqrt_sq",
      "RelIso.mk",
      "RelIso.toEquiv",
      "Relation.EqvGen",
      "Relation.EqvGen.rec",
      "Relation.EqvGen.refl",
      "Relation.EqvGen.rel",
      "Relation.EqvGen.setoid",
      "Relation.EqvGen.symm",
      "Relation.EqvGen.trans",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingCon.toCon",
      "RingEquiv",
      "RingEquiv.apply_symm_apply",
      "RingEquiv.ext",
      "RingEquiv.injective",
      "RingEquiv.instEquivLike",
      "RingEquiv.instRingEquivClass",
      "RingEquiv.map_mul",
      "RingEquiv.map_zero",
      "RingEquiv.mk",
      "RingEquiv.refl",
      "RingEquiv.surjective",
      "RingEquiv.symm",
      "RingEquiv.symm_apply_apply",
      "RingEquiv.toEquiv",
      "RingEquiv.toRingHom",
      "RingEquivClass.toNonUnitalRingHomClass",
      "RingEquivClass.toRingHomClass",
      "RingHom",
      "RingHom.ext",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toLinearMapClassNNRat",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomClass.toRingHom",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomCompTriple.right_ids",
      "RingHomInvPair",
      "RingHomInvPair.comp_apply_eq",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.of_ringEquiv",
      "RingHomInvPair.of_ringEquiv_symm",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomIsometric.starRingEnd",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SDiff.sdiff",
      "SMul.mk",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulCommClass.smul_comm",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulMemClass.smul_mem",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "SProd.sprod",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mk",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearEquivClass.instSemilinearMapClass",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNNNorm",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Countable",
      "Set.Countable.mono",
      "Set.Countable.to_subtype",
      "Set.Elem",
      "Set.Finite",
      "Set.Finite.fintype",
      "Set.Finite.image",
      "Set.Finite.insert",
      "Set.Finite.mem_toFinset",
      "Set.Finite.subset",
      "Set.Finite.toFinset",
      "Set.Finite.toFinset.congr_simp",
      "Set.Finite.union",
      "Set.Icc",
      "Set.Ici",
      "Set.Infinite",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Nonempty.to_subtype",
      "Set.Pairwise",
      "Set.Subset.antisymm",
      "Set.Subset.rfl",
      "Set.Subset.trans",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.decidableSingleton",
      "Set.disjoint_left",
      "Set.empty_subset",
      "Set.eq_empty_iff_forall_notMem",
      "Set.eq_univ_iff_forall",
      "Set.ext",
      "Set.ext_iff",
      "Set.extremePoints",
      "Set.finite_empty._simp_1",
      "Set.finite_range",
      "Set.finite_singleton",
      "Set.fintypeEmpty",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.iUnion",
      "Set.image",
      "Set.image_congr",
      "Set.image_empty",
      "Set.image_id",
      "Set.image_image",
      "Set.image_mono",
      "Set.image_pair",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.image_union",
      "Set.instAntisymmSubset",
      "Set.instBooleanAlgebra",
      "Set.instBoundedOrder",
      "Set.instCompl",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instOrderTop",
      "Set.instReflSubset",
      "Set.instSDiff",
      "Set.instSProd",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_compl_iff",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_iUnion₂",
      "Set.mem_image",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_range_self",
      "Set.mem_sInter",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_union",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.not_finite._simp_1",
      "Set.not_nonempty_iff_eq_empty",
      "Set.pairwise_singleton",
      "Set.pi",
      "Set.preimage",
      "Set.preimage_empty",
      "Set.preimage_union",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sInter",
      "Set.sInter_subset_of_mem",
      "Set.sUnion",
      "Set.setOf_forall",
      "Set.singleton_nonempty",
      "Set.singleton_subset_iff",
      "Set.subset_sUnion_of_mem",
      "Set.subset_union_left",
      "Set.subset_union_right",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.toFinite_toFinset",
      "Set.toFinset",
      "Set.toFinset_empty",
      "Set.union_subset",
      "Set.univ",
      "SetLike",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.ext",
      "SetLike.instMembership",
      "SetLike.le_def",
      "SetLike.mem_coe",
      "SetRel.comp",
      "Setoid",
      "Setoid.iseqv",
      "Setoid.mk",
      "Setoid.r",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.mk",
      "Star.star",
      "StarAddMonoid",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv",
      "StarAlgEquiv.apply_symm_apply",
      "StarAlgEquiv.instEquivLike",
      "StarAlgEquiv.instFunLike",
      "StarAlgEquiv.instNonUnitalAlgEquivClass",
      "StarAlgEquiv.instStarRingEquivClass",
      "StarAlgEquiv.mk",
      "StarAlgEquiv.symm",
      "StarAlgEquiv.symm_apply_apply",
      "StarAlgEquiv.toNonUnitalStarAlgHom",
      "StarAlgEquiv.toNonUnitalStarAlgHom_apply",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgEquiv.toStarRingEquiv",
      "StarAlgEquiv.trans",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.instStarAddMonoid",
      "StarMemClass.instStarRing",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingEquiv.mk",
      "StarRingEquiv.toRingEquiv",
      "StarRingEquivClass.instNonUnitalStarRingHomClass",
      "StarRingEquivClass.toRingEquivClass",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "Sub.mk",
      "SubNegMonoid.mk",
      "SubNegMonoid.sub_eq_add_neg._autoParam",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegMonoid.zsmul_neg'._autoParam",
      "SubNegMonoid.zsmul_succ'._autoParam",
      "SubNegMonoid.zsmul_zero'._autoParam",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.Quotient.addCommGroup._aux_1",
      "Submodule.Quotient.addCommGroup._aux_3",
      "Submodule.Quotient.addCommGroup._aux_6",
      "Submodule.Quotient.addCommGroup._proof_10",
      "Submodule.Quotient.addCommGroup._proof_11",
      "Submodule.Quotient.addCommGroup._proof_12",
      "Submodule.Quotient.addCommGroup._proof_5",
      "Submodule.Quotient.addCommGroup._proof_8",
      "Submodule.Quotient.addCommGroup._proof_9",
      "Submodule.Quotient.addCommMonoid",
      "Submodule.Quotient.addMonoid._aux_1",
      "Submodule.Quotient.addMonoid._aux_6",
      "Submodule.Quotient.addMonoid._proof_3",
      "Submodule.Quotient.addMonoid._proof_4",
      "Submodule.Quotient.addMonoid._proof_5",
      "Submodule.Quotient.addMonoid._proof_8",
      "Submodule.Quotient.addMonoid._proof_9",
      "Submodule.Quotient.completeSpace",
      "Submodule.Quotient.distribMulAction'._proof_1",
      "Submodule.Quotient.distribMulAction'._proof_2",
      "Submodule.Quotient.eq",
      "Submodule.Quotient.instSMul'._proof_2",
      "Submodule.Quotient.instZeroQuotient",
      "Submodule.Quotient.mk",
      "Submodule.Quotient.mk_eq_zero",
      "Submodule.Quotient.module",
      "Submodule.Quotient.module'._proof_3",
      "Submodule.Quotient.module'._proof_4",
      "Submodule.Quotient.mulAction'._proof_1",
      "Submodule.Quotient.mulAction'._proof_2",
      "Submodule.Quotient.norm_mk_le",
      "Submodule.Quotient.norm_mk_lt",
      "Submodule.Quotient.normedAddCommGroup",
      "Submodule.Quotient.normedAddCommGroup._proof_1",
      "Submodule.Quotient.normedAddCommGroup._proof_2",
      "Submodule.Quotient.normedSpace",
      "Submodule.Quotient.normedSpace._proof_1",
      "Submodule.Quotient.seminormedAddCommGroup",
      "Submodule.Quotient.seminormedAddCommGroup._aux_1",
      "Submodule.Quotient.seminormedAddCommGroup._aux_11",
      "Submodule.Quotient.seminormedAddCommGroup._aux_17",
      "Submodule.Quotient.seminormedAddCommGroup._aux_3",
      "Submodule.Quotient.seminormedAddCommGroup._aux_8",
      "Submodule.Quotient.seminormedAddCommGroup._proof_10",
      "Submodule.Quotient.seminormedAddCommGroup._proof_13",
      "Submodule.Quotient.seminormedAddCommGroup._proof_14",
      "Submodule.Quotient.seminormedAddCommGroup._proof_15",
      "Submodule.Quotient.seminormedAddCommGroup._proof_16",
      "Submodule.Quotient.seminormedAddCommGroup._proof_19",
      "Submodule.Quotient.seminormedAddCommGroup._proof_20",
      "Submodule.Quotient.seminormedAddCommGroup._proof_5",
      "Submodule.Quotient.seminormedAddCommGroup._proof_6",
      "Submodule.Quotient.seminormedAddCommGroup._proof_7",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.addSubgroupClass",
      "Submodule.addSubmonoidClass",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.closed_of_finiteDimensional",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_bot_iff",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.exists_le_ker_of_notMem",
      "Submodule.ext",
      "Submodule.finiteDimensional_iSup",
      "Submodule.finiteDimensional_of_le",
      "Submodule.finiteDimensional_sup",
      "Submodule.finrank_lt_finrank_of_lt",
      "Submodule.hasQuotient",
      "Submodule.innerProductSpace",
      "Submodule.innerProductSpace._proof_5",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instInfSet",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instOrthogonalCompleteSpace",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.isScalarTower'",
      "Submodule.le_topologicalClosure",
      "Submodule.liftQ",
      "Submodule.liftQL",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_iInf",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_pair",
      "Submodule.mem_span_range_iff_exists_fun",
      "Submodule.mem_span_singleton",
      "Submodule.mem_span_singleton_self",
      "Submodule.mem_sup",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.mkQ",
      "Submodule.mkQL",
      "Submodule.mkQ_surjective",
      "Submodule.mk_mem_projectivization_iff",
      "Submodule.module",
      "Submodule.module._proof_1",
      "Submodule.neg_mem",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.projectivization",
      "Submodule.quotEquivOfEq",
      "Submodule.quotientRel",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_eq_iSup_of_singleton_spans",
      "Submodule.span_le",
      "Submodule.span_singleton_le_iff_mem",
      "Submodule.starProjection",
      "Submodule.starProjection.congr_simp",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_minimal",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_mem",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "Submodule.subtypeL",
      "Submodule.sum_mem",
      "Submodule.topEquiv",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submodule.zero_mem",
      "SubmoduleClass.module",
      "SubmoduleClass.toNormedSpace",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "Subsemigroup",
      "Subsemigroup.instSetLike",
      "Subsemigroup.mul_mem",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.forall",
      "Subtype.instDecidableEq",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.range_coe_subtype",
      "Subtype.val",
      "Subtype.val_injective",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.countable_support",
      "Summable.hasSum",
      "Summable.mul_right",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "Superset",
      "T2Space.t1Space",
      "T3Space.toT0Space",
      "T4Space.t3Space",
      "T5Space.toT1Space",
      "T6Space.toT0Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.mk",
      "TopologicalSpace.ofClosed",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Topology.IsInducing",
      "Topology.IsInducing.closure_eq_preimage_closure_image",
      "Topology.IsInducing.piMap",
      "TotallyBounded",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "TwoSidedIdeal",
      "TwoSidedIdeal.add_mem",
      "TwoSidedIdeal.coe_top",
      "TwoSidedIdeal.ext",
      "TwoSidedIdeal.instAddSubgroupClass",
      "TwoSidedIdeal.instBot",
      "TwoSidedIdeal.instCompleteLattice",
      "TwoSidedIdeal.instInfSet",
      "TwoSidedIdeal.instPartialOrder",
      "TwoSidedIdeal.instSemilatticeInf",
      "TwoSidedIdeal.instTop",
      "TwoSidedIdeal.ker",
      "TwoSidedIdeal.mem_bot",
      "TwoSidedIdeal.mem_iInf",
      "TwoSidedIdeal.mem_inf",
      "TwoSidedIdeal.mem_ker",
      "TwoSidedIdeal.mem_mk'",
      "TwoSidedIdeal.mem_mk'._simp_1",
      "TwoSidedIdeal.mem_top",
      "TwoSidedIdeal.mk'",
      "TwoSidedIdeal.mul_mem_left",
      "TwoSidedIdeal.mul_mem_right",
      "TwoSidedIdeal.neg_mem",
      "TwoSidedIdeal.ringCon",
      "TwoSidedIdeal.setLike",
      "TwoSidedIdeal.zero_mem",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.isUniformAddGroup",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.completelyNormalSpace_of_isCountablyGenerated_uniformity",
      "UniformSpace.mk",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAddGroup",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instCompleteSpace",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarAddMonoid",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.snd_mul",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "Units",
      "Units.instMonoid",
      "Units.instMulAction",
      "Units.instOne",
      "Units.instSMul",
      "Units.mk0",
      "Units.val",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "WithLp.instModule",
      "WithLp.ofLp",
      "Zero",
      "Zero.mk",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass",
      "ZeroMemClass.coe_eq_zero._simp_1",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_assoc",
      "add_comm",
      "add_le_add",
      "add_le_add_right",
      "add_left_cancel",
      "add_left_comm",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_neg_cancel_comm_assoc",
      "add_nonneg",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_cancel",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_inj._simp_1",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "algebraMap.coe_zero",
      "and_congr",
      "and_congr_right",
      "and_self",
      "autoParam",
      "binderNameHint",
      "bot_eq_zero'",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_map_spectrum",
      "cfc_mul",
      "cfc_predicate",
      "cfc_real_eq_complex",
      "cfc_smul",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_add",
      "cfcₙ_commute_cfcₙ",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "cfcₙ_sum_univ",
      "cfcₙ_zero",
      "ciInf_le",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_minimal",
      "closure_singleton",
      "commRing_strongRankCondition",
      "commute_iff_eq",
      "compactOperator",
      "compl_compl",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_apply",
      "continuous_const",
      "continuous_finsetSum",
      "continuous_finset_sum",
      "continuous_fst",
      "continuous_id",
      "continuous_id'",
      "continuous_iff_isClosed",
      "continuous_mul",
      "continuous_norm",
      "continuous_pi",
      "continuous_snd",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "convex_singleton",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "discreteTopology_iff_isOpen_singleton",
      "dist_eq_norm",
      "dist_nonneg",
      "dist_self",
      "dist_zero_left",
      "dist_zero_right",
      "dite",
      "dite_cond_eq_false",
      "dite_cond_eq_true",
      "div_eq_mul_inv",
      "div_le_iff₀",
      "div_le_one",
      "div_lt_iff₀",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_pow",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_sub_iff_add_eq",
      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_hilbertBasis",
      "exists_nat_gt",
      "exists_ne",
      "exists_pair_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "finite_or_infinite",
      "forall_congr",
      "forall_const",
      "forall_eq",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_lt_self",
      "half_lt_self_iff._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "iInf",
      "iSup",
      "iSupIndep",
      "iSupIndep_map_orderIso_iff",
      "iSup_congr_Prop",
      "iSup_image",
      "iSup_le",
      "id",
      "if_neg",
      "if_pos",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_le_left",
      "inf_le_right",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_eq_zero_symm",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_eq_zero",
      "inner_self_ne_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_sum",
      "inner_zero_left",
      "inner_zero_right",
      "inseparableSetoid",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddMonoidWithOneENat",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIciTopology",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqProd",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDecidableOr",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instDistribSMul",
      "instEMetricSpaceSubtype",
      "instFaithfulSMul_1",
      "instFintypeOption",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasEquivOfSetoid",
      "instHasSolidNormReal",
      "instHasSummableGeomSeries",
      "instInhabitedNat",
      "instInhabitedPUnit",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsConcreteLE",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsEmptyFalse",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsSimpleModule",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulActionNatOfAddMonoid",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNatCastInt",
      "instNeZeroNatHAdd_1",
      "instNonUnitalAlgHomClassOfNonUnitalAlgEquivClass",
      "instNonUnitalCStarAlgebraProd",
      "instNonUnitalCStarAlgebraSubtypePreLpMemAddSubgroupLpTopENNReal",
      "instNonemptyOfInhabited",
      "instNonemptyProd",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instPreorderENat",
      "instPseudoEMetricSpaceSubtype",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instSubsingletonSubtype_mathlib",
      "instT2SpaceSubtype",
      "instT4SpaceOfT1SpaceOfNormalSpace",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceProd",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransIff",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "inv_smul_smul₀",
      "isClosed_Ici",
      "isClosed_biInter",
      "isClosed_closure",
      "isClosed_discrete",
      "isClosed_eq",
      "isClosed_iInter",
      "isClosed_le",
      "isClosed_of_closure_subset",
      "isClosed_setOf_isCompactOperator",
      "isClosed_singleton",
      "isClosed_univ",
      "isCompactOperator_of_locallyCompactSpace_dom",
      "isCompactOperator_zero",
      "isDiscrete_iff_forall_exists_isOpen",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isExtreme_singleton",
      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isOpen_compl_iff",
      "isOpen_discrete",
      "isOpen_pi_iff",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_iff_eq_starProjection_range",
      "isStarProjection_iff_isIdempotentElem_and_isStarNormal",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
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      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_iSup",
      "le_max_left",
      "le_max_right",
      "le_min",
      "le_of_eq",
      "le_of_forall_pos_le_add",
      "le_of_le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "le_total",
      "locallyCompact_of_proper",
      "lowerBounds",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inftyStarRing",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instIsScalarTowerSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instMulSubtypePreLpMemAddSubgroupTopENNReal",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.instStarAddMonoid",
      "lp.instStarSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.nonUnitalNormedRing",
      "lp.nonUnitalRing",
      "lp.norm_apply_le_norm",
      "lp.norm_le_of_forall_le",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lp.single_add",
      "lp.single_smul",
      "lp.single_zero",
      "lt_div_iff₀",
      "lt_irrefl",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_lt",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
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      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
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      "map_div₀",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_natCast",
      "map_neg",
      "map_one",
      "map_pow",
      "map_ratCast",
      "map_smul",
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      "map_sum",
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      "max_eq_left",
      "max_eq_right",
      "max_le",
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      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_closure_iff",
      "mem_extremePoints_iff_left",
      "memℓp_infty",
      "memℓp_infty_iff",
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      "min_eq_right",
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      "min_le_right",
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      "mul_inv_cancel₀",
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      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_le_of_le_one_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_right_cancel₀",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_add_eq_zero",
      "neg_add_rev",
      "neg_apply",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_one_smul",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "nnnorm_zero",
      "noConfusion_of_Nat",
      "nontrivial_of_ne",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_div",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_norm_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_exists",
      "not_false",
      "not_false_eq_true",
      "not_le._simp_1",
      "not_le_of_gt",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_ne_iff",
      "not_or",
      "not_or._simp_2",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_false",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "openSegment_symm",
      "optParam",
      "or_comm",
      "or_self",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "rank_le_one_iff",
      "rank_submodule_le_one_iff'",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "resolventSet",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_ne_zero",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.isCompact",
      "spectrum.isOpen_resolventSet",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingAut",
      "starRingEnd",
      "star_div₀",
      "star_eq_zero",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_sum",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_self",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "subset_closure",
      "subsingleton_or_nontrivial",
      "sum_apply",
      "sum_inner",
      "sum_mem",
      "summable_geometric_of_norm_lt_one",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_le",
      "sup_of_le_left",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_iff_dist_tendsto_zero",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "trivial",
      "true_and",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_ite_eq",
      "tsum_star",
      "two_mul",
      "two_smul",
      "uniformity",
      "unitary",
      "upperBounds",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_finiteDimensional_or": [
      "Add.mk",
      "AddCancelCommMonoid.toAddLeftCancelMonoid",
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.mk",
      "AddCommGroup.toAddCancelCommMonoid",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.mk",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelMonoid.toAddLeftCancelSemigroup",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid",
      "AddMonoid.mk",
      "AddMonoid.nsmul_succ._autoParam",
      "AddMonoid.nsmul_zero._autoParam",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instAddMonoidHomClass",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.isometry_of_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup",
      "AddSemigroup.mk",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.sub",
      "AddSubgroupClass.toAddGroup._proof_6",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass",
      "AddSubmonoidClass.coe_finsetSum",
      "AddSubmonoidClass.toAddMonoid._proof_6",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Antitone",
      "BddAbove",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bornology.cobounded",
      "Bornology.mk",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "BoundedOrder.toOrderTop",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.spectrum_zero_eq",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.instNonnegSpectrumClass'",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.mul_apply",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.mul_star_self_eq_zero_iff",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "Cardinal",
      "Cardinal.aleph0",
      "Cardinal.commSemiring",
      "Cardinal.instLE",
      "Cardinal.instMul",
      "Cardinal.instNatCast",
      "Cardinal.instOne",
      "Cardinal.isOrderedRing",
      "Cardinal.lift",
      "Cardinal.lift_aleph0",
      "Cardinal.lift_mk_eq'",
      "Cardinal.lift_mk_le'",
      "Cardinal.lift_natCast",
      "Cardinal.lift_ofNat",
      "Cardinal.lift_uzero",
      "Cardinal.linearOrder",
      "Cardinal.mk",
      "Cardinal.mk_fintype",
      "Cardinal.mk_mul_aleph0_eq",
      "Cardinal.mk_nat",
      "Cardinal.mk_prod",
      "Cardinal.natCast_lt_aleph0",
      "Cardinal.partialOrder",
      "Cardinal.two_le_iff_one_lt",
      "CauchyFilter",
      "CauchyFilter.instUniformSpace",
      "CauchyFilter.pureCauchy",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choice",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_forall",
      "Classical.not_imp._simp_2",
      "Classical.not_not",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.closure_top",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.isClosed_iff",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toCommMonoid",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "Compl.compl",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toBoundedOrder",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toCompleteSemilatticeSup",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteLattice.toLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSemilatticeSup.toSupSet",
      "CompleteSpace",
      "CompletelyNormalSpace.toNormalSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.exists_norm_eq_mul_self",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instCompleteSpace",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instProperSpace",
      "Complex.instRCLike",
      "Complex.instRatCast",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_I",
      "Complex.norm_div",
      "Complex.norm_ofNat",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.orderClosedTopology",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_add_im",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "Complex.zero_re",
      "Con.toSetoid",
      "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
      "ConditionallyCompleteLattice.toLattice",
      "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice",
      "ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup",
      "ConditionallyCompletePartialOrderSup.toPartialOrder",
      "ConditionallyCompletePartialOrderSup.toSupSet",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.comp'",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.norm",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv",
      "ContinuousLinearEquiv.continuous",
      "ContinuousLinearEquiv.continuousSemilinearEquivClass",
      "ContinuousLinearEquiv.equivLike",
      "ContinuousLinearEquiv.injective",
      "ContinuousLinearEquiv.mk",
      "ContinuousLinearEquiv.symm",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearEquiv.toLinearEquiv",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.codRestrict",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.eq_zero_of_forall_hasEigenvalue_eq_zero",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.finite_dimensional_eigenspace",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.map_tsum",
      "ContinuousLinearMap.map_zero",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.opNorm_zero",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.sum_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.toSpanSingleton",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousLinearMapWOT",
      "ContinuousLinearMapWOT.continuous_dual_apply",
      "ContinuousLinearMapWOT.inducingFn",
      "ContinuousLinearMapWOT.instAddCommGroup",
      "ContinuousLinearMapWOT.instFunLike",
      "ContinuousLinearMapWOT.instModule",
      "ContinuousLinearMapWOT.instTopologicalSpace",
      "ContinuousLinearMapWOT.isInducing_inducingFn",
      "ContinuousLinearMapWOT.ofCLM",
      "ContinuousLinearMapWOT.toCLM",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.mul",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSMul.continuousConstSMul",
      "ContinuousSemilinearEquivClass.continuousSemilinearMapClass",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "ContinuousStar.continuous_star",
      "Convex",
      "Countable.exists_injective_nat",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "DFunLike.ext",
      "Decidable",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "Dense",
      "Dense.closure_eq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.equalizer",
      "DenseRange.induction_on",
      "DenseRange.induction_on₂",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Directed",
      "DiscreteTopology",
      "Disjoint",
      "Dist.dist",
      "Dist.mk",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction",
      "DistribMulAction.mk",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom",
      "DistribMulActionHom.map_add'",
      "DistribMulActionHom.mk",
      "DistribMulActionHom.toMulActionHom",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.isSimpleRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRatCast",
      "DivisionRing.toRing",
      "DivisionSemiring.isPrincipalIdealRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instIsCountablyGeneratedUniformity",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "ENNReal.ofReal",
      "ENNReal.top_ne_zero._simp_1",
      "ENat",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.subset",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Eq.trans_ne",
      "Equiv",
      "Equiv.Perm.star",
      "Equiv.apply_symm_apply",
      "Equiv.ext",
      "Equiv.injective",
      "Equiv.instEquivLike",
      "Equiv.invFun",
      "Equiv.left_inv",
      "Equiv.mk",
      "Equiv.ofBijective",
      "Equiv.piCongrLeft'",
      "Equiv.piCongrLeft_apply_apply",
      "Equiv.prodComm",
      "Equiv.refl",
      "Equiv.right_inv",
      "Equiv.surjective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "Equiv.symm_image_image",
      "Equiv.toFun",
      "Equiv.trans",
      "EquivLike.toFunLike",
      "Equivalence",
      "Equivalence.mk",
      "Equivalence.refl",
      "Equivalence.symm",
      "Equivalence.trans",
      "EuclideanDomain.toNontrivial",
      "EuclideanDomain.to_principal_ideal_domain",
      "EuclideanSpace",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "ExistsUnique",
      "False",
      "False.elim",
      "Field",
      "Field.instIsLocalRing",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toEuclideanDomain",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.neBot",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsApproximateUnit.tendsto_mul_right",
      "Filter.IsIncreasingApproximateUnit",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.smul",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.cofinite",
      "Filter.comap",
      "Filter.instInfSet",
      "Filter.instMembership",
      "Filter.instPartialOrder",
      "Filter.lift'",
      "Filter.mp_mem",
      "Filter.principal",
      "Filter.sets",
      "Filter.univ_mem'",
      "Fin",
      "Fin.ext_iff",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.isLt",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.complete",
      "FiniteDimensional.finiteDimensional_pi'",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.finiteDimensional_submodule",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.of_injective",
      "FiniteDimensional.of_surjective",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.proper_real",
      "FiniteDimensional.rclike_to_real",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.Subtype.fintype",
      "Finset.card",
      "Finset.card_singleton",
      "Finset.decidableMem",
      "Finset.decidableMem'",
      "Finset.finite_toSet",
      "Finset.induction",
      "Finset.induction_on",
      "Finset.instEmptyCollection",
      "Finset.instHasSubset",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.instSingleton",
      "Finset.instUnion",
      "Finset.le_sup",
      "Finset.mem_insert",
      "Finset.mem_insert_of_mem",
      "Finset.mem_insert_self",
      "Finset.mem_singleton._simp_1",
      "Finset.mem_union_left",
      "Finset.mem_union_right",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.notMem_empty._simp_1",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.smul_sum",
      "Finset.subset_union_left",
      "Finset.subset_union_right",
      "Finset.sum",
      "Finset.sum_add_distrib",
      "Finset.sum_apply",
      "Finset.sum_comm",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_eq_single",
      "Finset.sum_eq_zero",
      "Finset.sum_insert",
      "Finset.sum_ite_eq",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_mul",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.sum_singleton",
      "Finset.sum_smul",
      "Finset.sum_subset",
      "Finset.sup",
      "Finset.sup_empty",
      "Finset.sup_insert",
      "Finset.sup_le",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Finset.univ_unique",
      "Finsupp",
      "Finsupp.ext",
      "Finsupp.instAdd",
      "Finsupp.instAddCommGroup",
      "Finsupp.instAddCommMonoid",
      "Finsupp.instFunLike",
      "Finsupp.instSub",
      "Finsupp.instZero",
      "Finsupp.linearCombination",
      "Finsupp.mapRange",
      "Finsupp.mapRange.congr_simp",
      "Finsupp.mapRange_mapRange",
      "Finsupp.mapRange_mapRange._proof_1",
      "Finsupp.mem_support_iff",
      "Finsupp.module",
      "Finsupp.single",
      "Finsupp.single_eq_of_ne",
      "Finsupp.single_eq_same",
      "Finsupp.single_sub",
      "Finsupp.smulZeroClass",
      "Finsupp.smul_single",
      "Finsupp.support",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "Fintype.linearIndependent_iffₛ",
      "Fintype.ofFinite",
      "Fintype.sum_option",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Bijective",
      "Function.Embedding",
      "Function.Embedding.injective",
      "Function.Embedding.mk",
      "Function.Injective",
      "Function.Injective.comp",
      "Function.Injective.eq_iff",
      "Function.Injective.ne",
      "Function.Involutive",
      "Function.LeftInverse",
      "Function.RightInverse",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.Surjective.range_comp",
      "Function.comp",
      "Function.hasSMul",
      "Function.instFunLikeEmbedding",
      "Function.support",
      "Function.update",
      "Function.update_of_ne",
      "Function.update_self",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasEquiv.Equiv",
      "HasQuotient.Quotient",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.antisymm",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.summable",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "HilbertBasis",
      "HilbertBasis.dense_span",
      "HilbertBasis.hasSum_repr",
      "HilbertBasis.instFunLike",
      "HilbertBasis.mk",
      "HilbertBasis.orthonormal",
      "HilbertBasis.repr",
      "HilbertBasis.repr_apply_apply",
      "HilbertBasis.toOrthonormalBasis",
      "Homeomorph",
      "Homeomorph.continuous",
      "Homeomorph.injective",
      "Homeomorph.instEquivLike",
      "Homeomorph.mk",
      "Homeomorph.symm",
      "Homeomorph.toEquiv",
      "Homeomorph.trans",
      "Ideal.instIsTorsionFreeSubtypeMemSubmodule",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.of_eq",
      "Iff.rfl",
      "Iff.symm",
      "Iff.trans",
      "Infinite",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rankOne_comp_rankOne",
      "InnerProductSpace.rankOne_def'",
      "InnerProductSpace.rankOne_ne_zero",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toDual",
      "InnerProductSpace.toDual_symm_apply",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.add_one_le_of_lt",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instLEInt",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.instSub",
      "Int.mul",
      "Int.natCast_add",
      "Int.natCast_nonneg",
      "Int.negOfNat",
      "Int.negSucc",
      "Int.ofNat",
      "Int.rawCast",
      "Int.sub_nonneg_of_le",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsCancelMulZero.toIsRightCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.completeSpace_coe",
      "IsClosed.inter",
      "IsClosed.isOpen_compl",
      "IsClosed.mem_of_tendsto",
      "IsClosed.mk",
      "IsClosed.preimage",
      "IsCoatom",
      "IsCompact",
      "IsCompact.exists_isMaxOn",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.finite",
      "IsCompact.inter_right",
      "IsCompact.nonempty_iInter_of_directed_nonempty_isCompact_isClosed",
      "IsCompact.of_isClosed_subset",
      "IsCompact.totallyBounded",
      "IsCompactOperator",
      "IsCompactOperator.add",
      "IsCompactOperator.clm_comp",
      "IsCompactOperator.comp_clm",
      "IsCompactOperator.hasEigenvalue_iff_mem_spectrum",
      "IsCompactOperator.hasEigenvalue_or_mem_resolventSet",
      "IsCompactOperator.image_closedBall_subset_compact",
      "IsCompactOperator.neg",
      "IsCompactOperator.restrict'",
      "IsCompactOperator.smul",
      "IsConcreteLE",
      "IsDiscrete",
      "IsDiscrete.mono",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsEmpty.forall_iff._simp_1",
      "IsEmpty.mk",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.extremePoints_subset_extremePoints",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsIdempotentElem.eq_1",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsLocalRing.toNontrivial",
      "IsMaxOn",
      "IsModuleTopology.toContinuousSMul",
      "IsNoetherianRing.strongRankCondition",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOpen.preimage",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.cfcₙ",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.isSymmetric",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsSimpleRing.instNontrivial",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarNormal.map",
      "IsStarNormal.norm_add_eq_max",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.le_iff_mul_eq_right",
      "IsStarProjection.le_iff_sub",
      "IsStarProjection.map",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.toContinuousNeg",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsTopologicalSemiring.toIsModuleTopology",
      "IsUniformAddGroup",
      "IsUniformAddGroup.to_topologicalAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.dist_eq",
      "Isometry.injective",
      "Isometry.isClosedEmbedding",
      "LE",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_eq",
      "LE.le.trans_lt",
      "LE.mk",
      "LT.lt",
      "LT.lt.false",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "LT.mk",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Lean.Omega.Coeffs.ofList",
      "Lean.Omega.Constraint.addInequality_sat",
      "Lean.Omega.Constraint.combine_sat'",
      "Lean.Omega.Constraint.isImpossible",
      "Lean.Omega.Constraint.mk",
      "Lean.Omega.Constraint.not_sat'_of_isImpossible",
      "Lean.Omega.Int.add_congr",
      "Lean.Omega.Int.ofNat_le_of_le",
      "Lean.Omega.Int.ofNat_lt_of_lt",
      "Lean.Omega.Int.sub_congr",
      "Lean.Omega.LinearCombo",
      "Lean.Omega.LinearCombo.add_eval",
      "Lean.Omega.LinearCombo.coordinate",
      "Lean.Omega.LinearCombo.coordinate_eval_0",
      "Lean.Omega.LinearCombo.coordinate_eval_1",
      "Lean.Omega.LinearCombo.coordinate_eval_2",
      "Lean.Omega.LinearCombo.coordinate_eval_3",
      "Lean.Omega.LinearCombo.coordinate_eval_4",
      "Lean.Omega.LinearCombo.eval",
      "Lean.Omega.LinearCombo.instAdd",
      "Lean.Omega.LinearCombo.instSub",
      "Lean.Omega.LinearCombo.mk",
      "Lean.Omega.LinearCombo.sub_eval",
      "Lean.Omega.combo_sat'",
      "Lean.Omega.tidy_sat",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.apply_symm_apply",
      "LinearEquiv.continuous_symm",
      "LinearEquiv.injective",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.instSemilinearEquivClass",
      "LinearEquiv.map_add",
      "LinearEquiv.map_smul",
      "LinearEquiv.map_smulₛₗ",
      "LinearEquiv.mk",
      "LinearEquiv.refl",
      "LinearEquiv.surjective",
      "LinearEquiv.symm",
      "LinearEquiv.symm_apply_apply",
      "LinearEquiv.toContinuousLinearEquivOfContinuous",
      "LinearEquiv.toEquiv",
      "LinearEquiv.toLinearMap",
      "LinearIndependent",
      "LinearIndependent.eq_of_pair",
      "LinearIndependent.finite",
      "LinearIndependent.ne_zero",
      "LinearIndependent.pair_iff'",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometry.isometry",
      "LinearIsometry.toLinearMap",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.mk",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.refl",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.trans",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.IsSymmetric.invariant_orthogonalComplement_eigenspace",
      "LinearMap.IsSymmetric.orthogonalFamily_eigenspaces",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.coe_sum",
      "LinearMap.comp",
      "LinearMap.congr_fun",
      "LinearMap.continuous_iff_isClosed_ker",
      "LinearMap.continuous_of_seq_closed_graph",
      "LinearMap.exists_extend",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.finiteDimensional_range",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.isCoatom_ker_of_surjective",
      "LinearMap.isometryOfInner",
      "LinearMap.ker",
      "LinearMap.ker_pi",
      "LinearMap.ker_zero",
      "LinearMap.map_smulₛₗ",
      "LinearMap.mem_ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.pi",
      "LinearMap.quotKerEquivRange",
      "LinearMap.quotKerEquivRange_symm_apply_image",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.restrict",
      "LinearMap.semilinearMapClass",
      "LinearMap.sum_apply",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.linearMap",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toDecidableLT",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "LinearOrderedSemiField.toDenselyOrdered",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "LocallyConvexSpace",
      "Mathlib.Meta.NormNum.IsInt.neg_to_eq",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_eq_false",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_eq_true",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.natCast_nonneg",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Push.not_forall_eq",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.atom_pf'",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Matrix.cons_val_fin_one",
      "Matrix.of",
      "Matrix.vecCons",
      "Matrix.vecEmpty",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.continuous_iff",
      "Metric.denseRange_iff",
      "Metric.dense_iff",
      "Metric.isOpen_ball",
      "Metric.isOpen_iff",
      "Metric.mem_ball",
      "Metric.mem_ball._simp_1",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "Metric.totallyBounded_iff",
      "MetricSpace",
      "MetricSpace.mk",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.Basis",
      "Module.Basis.coord",
      "Module.Basis.instFunLike",
      "Module.Basis.linearIndependent",
      "Module.Basis.mem_span_image",
      "Module.Basis.mk",
      "Module.Basis.mk_apply",
      "Module.Basis.ne_zero",
      "Module.Basis.repr",
      "Module.Basis.repr_linearCombination",
      "Module.Basis.repr_self",
      "Module.Basis.repr_symm_apply",
      "Module.Basis.span_eq",
      "Module.Basis.unitsSMul",
      "Module.Basis.unitsSMul_apply",
      "Module.End",
      "Module.End.HasEigenvalue",
      "Module.End.HasEigenvalue.exists_hasEigenvector",
      "Module.End.HasEigenvector",
      "Module.End.eigenspace",
      "Module.End.genEigenspace",
      "Module.End.hasEigenvalue_of_hasEigenvector",
      "Module.End.mem_eigenspace_iff",
      "Module.Finite",
      "Module.Finite.of_basis",
      "Module.Finite.of_surjective",
      "Module.Finite.top",
      "Module.Free.ChooseBasisIndex",
      "Module.Free.chooseBasis",
      "Module.Free.of_divisionRing",
      "Module.Free.rank_eq_card_chooseBasisIndex",
      "Module.complexToReal",
      "Module.finBasis",
      "Module.finrank",
      "Module.finrank_eq_card_basis",
      "Module.mk",
      "Module.rank",
      "Module.rank_lt_aleph0_iff",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "Mul.mk",
      "MulAction",
      "MulAction.mk",
      "MulAction.toSemigroupAction",
      "MulActionHom",
      "MulActionHom.map_smul'",
      "MulActionHom.mk",
      "MulActionHom.toFun",
      "MulActionSemiHomClass.map_smulₛₗ",
      "MulActionWithZero.toSMulWithZero",
      "MulHom",
      "MulHom.funLike",
      "MulHomClass.toMulHom",
      "MulMemClass.toSemigroup",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNNorm.nnnorm",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.coe_le_coe",
      "NNReal.coe_max",
      "NNReal.coe_nonneg",
      "NNReal.eq",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCanonicallyOrderedAdd",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instLinearOrder",
      "NNReal.instOrderBot",
      "NNReal.instPartialOrder",
      "NNReal.instSemilatticeSup",
      "NNReal.instSemiring",
      "NNReal.instZero",
      "NNReal.sqrt",
      "NNReal.toReal",
      "NNReal.zero_le_coe._simp_1",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.below",
      "Nat.ble",
      "Nat.brecOn",
      "Nat.casesOn",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_add._simp_1",
      "Nat.cast_inj._simp_1",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.decLt",
      "Nat.decidableBallLT",
      "Nat.factorial",
      "Nat.find",
      "Nat.find_min'",
      "Nat.find_spec",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instLinearOrder",
      "Nat.instMax",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_induction",
      "Nat.le_of_lt",
      "Nat.le_of_not_lt",
      "Nat.le_refl",
      "Nat.lt_or_gt_of_ne",
      "Nat.lt_succ_self",
      "Nat.mul",
      "Nat.ofNat_pos._simp_1",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.strong_induction_on",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.mk",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.comp._proof_2",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHom.toDistribMulActionHom",
      "NonUnitalAlgHomClass",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.norm_quasispectrum_le",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing",
      "NonUnitalNonAssocRing.left_distrib",
      "NonUnitalNonAssocRing.mk",
      "NonUnitalNonAssocRing.mul_zero",
      "NonUnitalNonAssocRing.right_distrib",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toMul",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.zero_mul",
      "NonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.mk",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing",
      "NonUnitalRing.mk",
      "NonUnitalRing.mul_assoc",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.codRestrict",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.isometry",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mem_range",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.norm_map",
      "NonUnitalStarAlgHom.range",
      "NonUnitalStarAlgHom.rangeRestrict",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarAlgebra.instCompleteLatticeNonUnitalStarSubalgebra",
      "NonUnitalStarRingHomClass.toStarHomClass",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.ext",
      "NonUnitalStarSubalgebra.instIsTopologicalSemiring",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instPartialOrder",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.mk",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra._proof_4",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra._proof_5",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebra.toNonUnitalRing._proof_1",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring._proof_1",
      "NonUnitalStarSubalgebra.toNonUnitalSubalgebra",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebra.mk",
      "NonUnitalSubalgebra.toNonUnitalSubsemiring",
      "NonUnitalSubalgebra.toSubmodule",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiring.mk",
      "NonUnitalSubsemiring.toSubsemigroup",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.mulMemClass",
      "NonUnitalSubsemiringClass.toAddSubmonoidClass",
      "NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring",
      "Nonempty",
      "Nonempty.casesOn",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "NonnegSpectrumClass.quasispectrum_nonneg_of_nonneg",
      "Nontrivial",
      "Nontrivial.mk",
      "Nontrivial.to_nonempty",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.mk",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.dist_eq",
      "NormedAddCommGroup.dist_eq._autoParam",
      "NormedAddCommGroup.mk",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.mk",
      "NormedSpace.norm_normalize",
      "NormedSpace.normalize",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Option",
      "Option.elim'",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Or.resolve_right",
      "Order.Frame.toHeytingAlgebra",
      "Order.IsIdeal.Directed",
      "Order.IsIdeal.IsLowerSet",
      "Order.IsIdeal.Nonempty",
      "Order.IsPFilter",
      "Order.IsPFilter.of_def",
      "OrderBot.toBot",
      "OrderDual",
      "OrderDual.instLE",
      "OrderDual.ofDual",
      "OrderHom",
      "OrderHom.instFunLike",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderIso.apply_symm_apply",
      "OrderIso.injective",
      "OrderIso.map_iSup",
      "OrderIso.map_sup",
      "OrderIso.map_top",
      "OrderIso.monotone",
      "OrderIso.symm",
      "OrderIso.symm_apply_apply",
      "OrderIso.trans",
      "OrderTop.toTop",
      "Orthonormal.comp",
      "Orthonormal.linearIndependent",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.repr",
      "OrthonormalBasis.repr_apply_apply",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "OrthonormalBasis.sum_repr",
      "OrthonormalBasis.sum_repr'",
      "OrthonormalBasis.toBasis",
      "PUnit.fintype",
      "PUnit.instUnique",
      "PUnit.unit",
      "Pairwise",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.Function.module",
      "Pi.addCommGroup",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instNeg",
      "Pi.instSMul",
      "Pi.instSub",
      "Pi.instZero",
      "Pi.isScalarTower",
      "Pi.module",
      "Pi.single",
      "Pi.single_apply",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "Pi.topologicalSpace",
      "PiLp.innerProductSpace._proof_1",
      "PiLp.seminormedAddCommGroup",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "PreLp.unique",
      "Preorder",
      "Preorder.mk",
      "Preorder.toLE",
      "Preorder.toLT",
      "PrincipalIdealRing.isNoetherianRing",
      "Prod",
      "Prod.algebra",
      "Prod.casesOn",
      "Prod.ext",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.swap",
      "Prod.swap_swap",
      "Prod.toNorm",
      "Projectivization",
      "Projectivization.Independent",
      "Projectivization.Independent.mk",
      "Projectivization.Subspace",
      "Projectivization.Subspace.instCompleteLattice",
      "Projectivization.Subspace.instPartialOrder",
      "Projectivization.Subspace.instSetLike",
      "Projectivization.Subspace.mem_add",
      "Projectivization.Subspace.mem_submodule_iff",
      "Projectivization.Subspace.mk",
      "Projectivization.Subspace.span",
      "Projectivization.Subspace.spanCarrier",
      "Projectivization.Subspace.spanCarrier.rec",
      "Projectivization.Subspace.span_coe",
      "Projectivization.Subspace.span_le_span",
      "Projectivization.Subspace.span_le_subspace_iff",
      "Projectivization.Subspace.submodule",
      "Projectivization.Subspace.subset_span",
      "Projectivization.independent_iff",
      "Projectivization.independent_iff_iSupIndep",
      "Projectivization.instNonemptyOfNontrivial",
      "Projectivization.mk",
      "Projectivization.mk.congr_simp",
      "Projectivization.mk_eq_mk_iff'",
      "Projectivization.mk_rep",
      "Projectivization.rep",
      "Projectivization.rep_nonzero",
      "Projectivization.submodule",
      "Projectivization.submodule_eq",
      "Projectivization.submodule_injective",
      "Projectivization.submodule_mk",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.cobounded_sets._autoParam",
      "PseudoMetricSpace.edist_dist._autoParam",
      "PseudoMetricSpace.mk",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "PseudoMetricSpace.uniformity_dist._autoParam",
      "Quot.mk",
      "Quotient",
      "Quotient.eq",
      "Quotient.inductionOn",
      "Quotient.inductionOn₂",
      "Quotient.lift",
      "Quotient.map'",
      "Quotient.mk",
      "Quotient.mk'",
      "Quotient.mk''",
      "Quotient.sound",
      "QuotientModule.Quotient.topologicalSpace",
      "QuotientModule.Quotient.topologicalSpace._proof_1",
      "QuotientModule.Quotient.topologicalSpace._proof_2",
      "QuotientModule.Quotient.topologicalSpace._proof_3",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instCStarRing",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_natCast",
      "RCLike.norm_ofReal",
      "RCLike.norm_sq_eq_def",
      "RCLike.ofReal",
      "RCLike.one_im",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toCompleteSpace",
      "RCLike.toDecidableEq",
      "RCLike.toDenselyNormedField",
      "RCLike.toInnerProductSpaceReal",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.cast",
      "Rat.cast_zero",
      "Rat.commSemiring",
      "Rat.denseRange_cast",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.instOfNat",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instConditionallyCompleteLinearOrder",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInfSet",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.mul_self_sqrt",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.norm_ofNat",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Real.sqrt_sq",
      "RelIso.mk",
      "RelIso.toEquiv",
      "Relation.EqvGen",
      "Relation.EqvGen.rec",
      "Relation.EqvGen.refl",
      "Relation.EqvGen.rel",
      "Relation.EqvGen.setoid",
      "Relation.EqvGen.symm",
      "Relation.EqvGen.trans",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingCon.toCon",
      "RingEquiv",
      "RingEquiv.apply_symm_apply",
      "RingEquiv.ext",
      "RingEquiv.injective",
      "RingEquiv.instEquivLike",
      "RingEquiv.instRingEquivClass",
      "RingEquiv.map_mul",
      "RingEquiv.map_zero",
      "RingEquiv.mk",
      "RingEquiv.refl",
      "RingEquiv.surjective",
      "RingEquiv.symm",
      "RingEquiv.symm_apply_apply",
      "RingEquiv.toEquiv",
      "RingEquiv.toRingHom",
      "RingEquivClass.toNonUnitalRingHomClass",
      "RingEquivClass.toRingHomClass",
      "RingHom",
      "RingHom.ext",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toLinearMapClassNNRat",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomClass.toRingHom",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomCompTriple.right_ids",
      "RingHomInvPair",
      "RingHomInvPair.comp_apply_eq",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.of_ringEquiv",
      "RingHomInvPair.of_ringEquiv_symm",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomIsometric.starRingEnd",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SDiff.sdiff",
      "SMul.mk",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulCommClass.smul_comm",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulMemClass.smul_mem",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "SProd.sprod",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mk",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearEquivClass.instSemilinearMapClass",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNNNorm",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Countable",
      "Set.Countable.mono",
      "Set.Countable.to_subtype",
      "Set.Elem",
      "Set.Finite",
      "Set.Finite.fintype",
      "Set.Finite.image",
      "Set.Finite.insert",
      "Set.Finite.mem_toFinset",
      "Set.Finite.subset",
      "Set.Finite.toFinset",
      "Set.Finite.toFinset.congr_simp",
      "Set.Finite.union",
      "Set.Icc",
      "Set.Ici",
      "Set.Infinite",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Nonempty.to_subtype",
      "Set.Pairwise",
      "Set.Subset.antisymm",
      "Set.Subset.rfl",
      "Set.Subset.trans",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.decidableSingleton",
      "Set.disjoint_left",
      "Set.empty_subset",
      "Set.eq_empty_iff_forall_notMem",
      "Set.eq_univ_iff_forall",
      "Set.ext",
      "Set.ext_iff",
      "Set.extremePoints",
      "Set.finite_empty._simp_1",
      "Set.finite_range",
      "Set.finite_singleton",
      "Set.fintypeEmpty",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.iUnion",
      "Set.image",
      "Set.image_congr",
      "Set.image_empty",
      "Set.image_id",
      "Set.image_image",
      "Set.image_mono",
      "Set.image_pair",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.image_union",
      "Set.instAntisymmSubset",
      "Set.instBooleanAlgebra",
      "Set.instBoundedOrder",
      "Set.instCompl",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instOrderTop",
      "Set.instReflSubset",
      "Set.instSDiff",
      "Set.instSProd",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_compl_iff",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_iUnion₂",
      "Set.mem_image",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_range_self",
      "Set.mem_sInter",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_union",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.not_finite._simp_1",
      "Set.not_nonempty_iff_eq_empty",
      "Set.pairwise_singleton",
      "Set.pi",
      "Set.preimage",
      "Set.preimage_empty",
      "Set.preimage_union",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sInter",
      "Set.sInter_subset_of_mem",
      "Set.sUnion",
      "Set.setOf_forall",
      "Set.singleton_nonempty",
      "Set.singleton_subset_iff",
      "Set.subset_sUnion_of_mem",
      "Set.subset_union_left",
      "Set.subset_union_right",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.toFinite_toFinset",
      "Set.toFinset",
      "Set.toFinset_empty",
      "Set.union_subset",
      "Set.univ",
      "SetLike",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.ext",
      "SetLike.instMembership",
      "SetLike.le_def",
      "SetLike.mem_coe",
      "SetRel.comp",
      "Setoid",
      "Setoid.iseqv",
      "Setoid.mk",
      "Setoid.r",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.mk",
      "Star.star",
      "StarAddMonoid",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv",
      "StarAlgEquiv.apply_symm_apply",
      "StarAlgEquiv.instEquivLike",
      "StarAlgEquiv.instFunLike",
      "StarAlgEquiv.instNonUnitalAlgEquivClass",
      "StarAlgEquiv.instStarRingEquivClass",
      "StarAlgEquiv.mk",
      "StarAlgEquiv.symm",
      "StarAlgEquiv.symm_apply_apply",
      "StarAlgEquiv.toNonUnitalStarAlgHom",
      "StarAlgEquiv.toNonUnitalStarAlgHom_apply",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgEquiv.toStarRingEquiv",
      "StarAlgEquiv.trans",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.instStarAddMonoid",
      "StarMemClass.instStarRing",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingEquiv.mk",
      "StarRingEquiv.toRingEquiv",
      "StarRingEquivClass.instNonUnitalStarRingHomClass",
      "StarRingEquivClass.toRingEquivClass",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "Sub.mk",
      "SubNegMonoid.mk",
      "SubNegMonoid.sub_eq_add_neg._autoParam",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegMonoid.zsmul_neg'._autoParam",
      "SubNegMonoid.zsmul_succ'._autoParam",
      "SubNegMonoid.zsmul_zero'._autoParam",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.Quotient.addCommGroup._aux_1",
      "Submodule.Quotient.addCommGroup._aux_3",
      "Submodule.Quotient.addCommGroup._aux_6",
      "Submodule.Quotient.addCommGroup._proof_10",
      "Submodule.Quotient.addCommGroup._proof_11",
      "Submodule.Quotient.addCommGroup._proof_12",
      "Submodule.Quotient.addCommGroup._proof_5",
      "Submodule.Quotient.addCommGroup._proof_8",
      "Submodule.Quotient.addCommGroup._proof_9",
      "Submodule.Quotient.addCommMonoid",
      "Submodule.Quotient.addMonoid._aux_1",
      "Submodule.Quotient.addMonoid._aux_6",
      "Submodule.Quotient.addMonoid._proof_3",
      "Submodule.Quotient.addMonoid._proof_4",
      "Submodule.Quotient.addMonoid._proof_5",
      "Submodule.Quotient.addMonoid._proof_8",
      "Submodule.Quotient.addMonoid._proof_9",
      "Submodule.Quotient.completeSpace",
      "Submodule.Quotient.distribMulAction'._proof_1",
      "Submodule.Quotient.distribMulAction'._proof_2",
      "Submodule.Quotient.eq",
      "Submodule.Quotient.instSMul'._proof_2",
      "Submodule.Quotient.instZeroQuotient",
      "Submodule.Quotient.mk",
      "Submodule.Quotient.mk_eq_zero",
      "Submodule.Quotient.module",
      "Submodule.Quotient.module'._proof_3",
      "Submodule.Quotient.module'._proof_4",
      "Submodule.Quotient.mulAction'._proof_1",
      "Submodule.Quotient.mulAction'._proof_2",
      "Submodule.Quotient.norm_mk_le",
      "Submodule.Quotient.norm_mk_lt",
      "Submodule.Quotient.normedAddCommGroup",
      "Submodule.Quotient.normedAddCommGroup._proof_1",
      "Submodule.Quotient.normedAddCommGroup._proof_2",
      "Submodule.Quotient.normedSpace",
      "Submodule.Quotient.normedSpace._proof_1",
      "Submodule.Quotient.seminormedAddCommGroup",
      "Submodule.Quotient.seminormedAddCommGroup._aux_1",
      "Submodule.Quotient.seminormedAddCommGroup._aux_11",
      "Submodule.Quotient.seminormedAddCommGroup._aux_17",
      "Submodule.Quotient.seminormedAddCommGroup._aux_3",
      "Submodule.Quotient.seminormedAddCommGroup._aux_8",
      "Submodule.Quotient.seminormedAddCommGroup._proof_10",
      "Submodule.Quotient.seminormedAddCommGroup._proof_13",
      "Submodule.Quotient.seminormedAddCommGroup._proof_14",
      "Submodule.Quotient.seminormedAddCommGroup._proof_15",
      "Submodule.Quotient.seminormedAddCommGroup._proof_16",
      "Submodule.Quotient.seminormedAddCommGroup._proof_19",
      "Submodule.Quotient.seminormedAddCommGroup._proof_20",
      "Submodule.Quotient.seminormedAddCommGroup._proof_5",
      "Submodule.Quotient.seminormedAddCommGroup._proof_6",
      "Submodule.Quotient.seminormedAddCommGroup._proof_7",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.addSubgroupClass",
      "Submodule.addSubmonoidClass",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.closed_of_finiteDimensional",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_bot_iff",
      "Submodule.eq_of_le_of_finrank_le",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.exists_le_ker_of_notMem",
      "Submodule.ext",
      "Submodule.finiteDimensional_iSup",
      "Submodule.finiteDimensional_of_le",
      "Submodule.finiteDimensional_sup",
      "Submodule.finrank_lt_finrank_of_lt",
      "Submodule.hasQuotient",
      "Submodule.innerProductSpace",
      "Submodule.innerProductSpace._proof_5",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instInfSet",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instOrthogonalCompleteSpace",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.isScalarTower'",
      "Submodule.le_topologicalClosure",
      "Submodule.liftQ",
      "Submodule.liftQL",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_iInf",
      "Submodule.mem_inf",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_pair",
      "Submodule.mem_span_range_iff_exists_fun",
      "Submodule.mem_span_singleton",
      "Submodule.mem_span_singleton_self",
      "Submodule.mem_sup",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.mkQ",
      "Submodule.mkQL",
      "Submodule.mkQ_surjective",
      "Submodule.mk_mem_projectivization_iff",
      "Submodule.module",
      "Submodule.module._proof_1",
      "Submodule.neg_mem",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.projectivization",
      "Submodule.quotEquivOfEq",
      "Submodule.quotientRel",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_eq_iSup_of_singleton_spans",
      "Submodule.span_le",
      "Submodule.span_singleton_le_iff_mem",
      "Submodule.starProjection",
      "Submodule.starProjection.congr_simp",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_minimal",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_mem",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "Submodule.subtypeL",
      "Submodule.sum_mem",
      "Submodule.topEquiv",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submodule.zero_mem",
      "SubmoduleClass.module",
      "SubmoduleClass.toNormedSpace",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "Subsemigroup",
      "Subsemigroup.instSetLike",
      "Subsemigroup.mul_mem",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.forall",
      "Subtype.instDecidableEq",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.range_coe_subtype",
      "Subtype.val",
      "Subtype.val_injective",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.countable_support",
      "Summable.hasSum",
      "Summable.mul_right",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "Superset",
      "T2Space.t1Space",
      "T3Space.toT0Space",
      "T4Space.t3Space",
      "T5Space.toT1Space",
      "T6Space.toT0Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.mk",
      "TopologicalSpace.ofClosed",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Topology.IsInducing",
      "Topology.IsInducing.closure_eq_preimage_closure_image",
      "Topology.IsInducing.piMap",
      "TotallyBounded",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "TwoSidedIdeal",
      "TwoSidedIdeal.add_mem",
      "TwoSidedIdeal.coe_top",
      "TwoSidedIdeal.ext",
      "TwoSidedIdeal.instAddSubgroupClass",
      "TwoSidedIdeal.instBot",
      "TwoSidedIdeal.instCompleteLattice",
      "TwoSidedIdeal.instInfSet",
      "TwoSidedIdeal.instPartialOrder",
      "TwoSidedIdeal.instSemilatticeInf",
      "TwoSidedIdeal.instTop",
      "TwoSidedIdeal.ker",
      "TwoSidedIdeal.mem_bot",
      "TwoSidedIdeal.mem_iInf",
      "TwoSidedIdeal.mem_inf",
      "TwoSidedIdeal.mem_ker",
      "TwoSidedIdeal.mem_mk'",
      "TwoSidedIdeal.mem_mk'._simp_1",
      "TwoSidedIdeal.mem_top",
      "TwoSidedIdeal.mk'",
      "TwoSidedIdeal.mul_mem_left",
      "TwoSidedIdeal.mul_mem_right",
      "TwoSidedIdeal.neg_mem",
      "TwoSidedIdeal.ringCon",
      "TwoSidedIdeal.setLike",
      "TwoSidedIdeal.zero_mem",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instAddMonoid",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.isUniformAddGroup",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.completelyNormalSpace_of_isCountablyGenerated_uniformity",
      "UniformSpace.mk",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
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      "inseparableSetoid",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddCompletion",
      "instAddMonoidWithOneENat",
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      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIciTopology",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqProd",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDecidableOr",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instDistribSMul",
      "instEMetricSpaceSubtype",
      "instFaithfulSMul_1",
      "instFintypeOption",
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      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
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      "instHasEquivOfSetoid",
      "instHasSolidNormReal",
      "instHasSummableGeomSeries",
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      "instInnerProductSpaceRealComplex",
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      "instMetricSpaceNNReal",
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      "instMulZeroOneClassOfSemiring",
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      "instNeZeroNatHAdd_1",
      "instNonUnitalAlgHomClassOfNonUnitalAlgEquivClass",
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      "instNonUnitalCStarAlgebraSubtypePreLpMemAddSubgroupLpTopENNReal",
      "instNonemptyOfInhabited",
      "instNonemptyProd",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instPreorderENat",
      "instPseudoEMetricSpaceSubtype",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubCompletion",
      "instSubsingletonPUnit",
      "instSubsingletonSubtype_mathlib",
      "instT2SpaceSubtype",
      "instT4SpaceOfT1SpaceOfNormalSpace",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceProd",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransIff",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
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      "inv_le_one₀",
      "inv_mul_cancel₀",
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      "nontrivial_of_ne",
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      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "subset_closure",
      "subsingleton_or_nontrivial",
      "sum_apply",
      "sum_inner",
      "sum_mem",
      "summable_geometric_of_norm_lt_one",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_le",
      "sup_of_le_left",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_iff_dist_tendsto_zero",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "trivial",
      "true_and",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_ite_eq",
      "tsum_star",
      "two_mul",
      "two_smul",
      "uniformity",
      "unitary",
      "upperBounds",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.nonempty_starAlgEquiv_iff_nonempty_geometricStructure_homeomorph_of_exists_boundedOperatorEquiv": [
      "Add.mk",
      "AddCancelCommMonoid.toAddLeftCancelMonoid",
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.mk",
      "AddCommGroup.toAddCancelCommMonoid",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.mk",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelMonoid.toAddLeftCancelSemigroup",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.mk",
      "AddMonoid.nsmul_succ._autoParam",
      "AddMonoid.nsmul_zero._autoParam",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instAddMonoidHomClass",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.isometry_of_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup",
      "AddSemigroup.mk",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass",
      "AddSubgroupClass.sub",
      "AddSubgroupClass.toAddGroup._proof_6",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid",
      "AddSubmonoid.add_mem",
      "AddSubmonoid.closure",
      "AddSubmonoid.closure_induction",
      "AddSubmonoid.instAddSubmonoidClass",
      "AddSubmonoid.instSetLike",
      "AddSubmonoid.mk",
      "AddSubmonoid.subset_closure",
      "AddSubmonoidClass",
      "AddSubmonoidClass.coe_finsetSum",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.algebraMap_eq_smul_one",
      "Algebra.cast",
      "Algebra.commutes",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Antitone",
      "Bool",
      "Bool.casesOn",
      "Bool.false",
      "Bool.fintype",
      "Bool.true",
      "Bool.true_eq_false",
      "Bornology.cobounded",
      "Bornology.mk",
      "Bot.bot",
      "BoundedAdd",
      "BoundedContinuousFunction",
      "BoundedContinuousFunction.const",
      "BoundedContinuousFunction.const_apply",
      "BoundedContinuousFunction.ext",
      "BoundedContinuousFunction.instAddCommMonoid",
      "BoundedContinuousFunction.instAddMonoid",
      "BoundedContinuousFunction.instAddZeroClass",
      "BoundedContinuousFunction.instAlgebra",
      "BoundedContinuousFunction.instCStarAlgebra",
      "BoundedContinuousFunction.instFunLike",
      "BoundedContinuousFunction.instIsScalarTower",
      "BoundedContinuousFunction.instModule",
      "BoundedContinuousFunction.instMul",
      "BoundedContinuousFunction.instMulOneClass",
      "BoundedContinuousFunction.instNonUnitalCStarAlgebra",
      "BoundedContinuousFunction.instNorm",
      "BoundedContinuousFunction.instNormOneClass",
      "BoundedContinuousFunction.instNormedAddCommGroup",
      "BoundedContinuousFunction.instNormedSpace",
      "BoundedContinuousFunction.instOne",
      "BoundedContinuousFunction.instPseudoMetricSpace",
      "BoundedContinuousFunction.instRing",
      "BoundedContinuousFunction.instSMul",
      "BoundedContinuousFunction.instSeminormedAddCommGroup",
      "BoundedContinuousFunction.instSeminormedCommRing",
      "BoundedContinuousFunction.instSemiring",
      "BoundedContinuousFunction.instStarAddMonoid",
      "BoundedContinuousFunction.instStarRing",
      "BoundedContinuousFunction.instZero",
      "BoundedContinuousFunction.norm_coe_le_norm",
      "BoundedContinuousFunction.norm_const_eq",
      "BoundedContinuousFunction.norm_le",
      "BoundedContinuousFunction.ofNormedAddCommGroupDiscrete",
      "BoundedMul",
      "BoundedOrder.toOrderBot",
      "BoundedOrder.toOrderTop",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.sqrt",
      "CFC.sqrt_eq_cfc",
      "CFC.sqrt_mul_sqrt_self",
      "CFC.sqrt_nonneg",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.exists_sum_four_nonneg",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.instNonnegSpectrumClass",
      "CStarAlgebra.instNonnegSpectrumClass'",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarMatrix",
      "CStarMatrix.ext",
      "CStarMatrix.instAdd",
      "CStarMatrix.instAddCommGroup",
      "CStarMatrix.instAddCommMonoid",
      "CStarMatrix.instAddCommSemigroup",
      "CStarMatrix.instAddGroup",
      "CStarMatrix.instAddMonoid",
      "CStarMatrix.instAddZeroClass",
      "CStarMatrix.instAlgebra",
      "CStarMatrix.instCStarAlgebra",
      "CStarMatrix.instCStarRing",
      "CStarMatrix.instDistribMulAction",
      "CStarMatrix.instHMulOfFintypeOfMulOfAddCommMonoid",
      "CStarMatrix.instModule",
      "CStarMatrix.instMulAction",
      "CStarMatrix.instMulOfFintypeOfAddCommMonoid",
      "CStarMatrix.instNeg",
      "CStarMatrix.instNonUnitalCStarAlgebra",
      "CStarMatrix.instNonUnitalNonAssocRing",
      "CStarMatrix.instNonUnitalNormedRing",
      "CStarMatrix.instNonUnitalRing",
      "CStarMatrix.instNonUnitalSemiring",
      "CStarMatrix.instNontrivial",
      "CStarMatrix.instNorm",
      "CStarMatrix.instNormedRing",
      "CStarMatrix.instNormedSpace",
      "CStarMatrix.instOne",
      "CStarMatrix.instPartialOrder",
      "CStarMatrix.instRing",
      "CStarMatrix.instSMul",
      "CStarMatrix.instSemiring",
      "CStarMatrix.instStar",
      "CStarMatrix.instStarAddMonoid",
      "CStarMatrix.instStarOrderedRing",
      "CStarMatrix.instStarRing",
      "CStarMatrix.instSub",
      "CStarMatrix.instT2Space",
      "CStarMatrix.instTopologicalSpace",
      "CStarMatrix.instZero",
      "CStarMatrix.norm_entry_le_norm",
      "CStarMatrix.ofMatrix",
      "CStarMatrix.one_apply_eq",
      "CStarMatrix.one_apply_ne",
      "CStarMatrix.star_apply",
      "CStarModule.toInner",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_coe_unitary",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_self_mul_star",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "Cardinal",
      "Cardinal.aleph0",
      "Cardinal.commSemiring",
      "Cardinal.instLE",
      "Cardinal.instMul",
      "Cardinal.instNatCast",
      "Cardinal.instOne",
      "Cardinal.isOrderedRing",
      "Cardinal.lift",
      "Cardinal.lift_aleph0",
      "Cardinal.lift_mk_eq'",
      "Cardinal.lift_mk_le'",
      "Cardinal.lift_natCast",
      "Cardinal.lift_ofNat",
      "Cardinal.lift_uzero",
      "Cardinal.linearOrder",
      "Cardinal.mk",
      "Cardinal.mk_fintype",
      "Cardinal.mk_mul_aleph0_eq",
      "Cardinal.mk_nat",
      "Cardinal.mk_prod",
      "Cardinal.natCast_lt_aleph0",
      "Cardinal.partialOrder",
      "Cardinal.two_le_iff_one_lt",
      "ChainCompletePartialOrder.instOfCompleteLattice",
      "ChainCompletePartialOrder.toPartialOrder",
      "Classical.byContradiction",
      "Classical.choice",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_forall",
      "Classical.not_imp._simp_2",
      "Classical.not_not",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "ClosureOperator",
      "ClosureOperator.IsClosed",
      "ClosureOperator.closure_min",
      "ClosureOperator.closure_top",
      "ClosureOperator.instFunLike",
      "ClosureOperator.isClosed_closure",
      "ClosureOperator.isClosed_iff",
      "ClosureOperator.isClosed_iff_closure_le",
      "ClosureOperator.le_closure",
      "ClosureOperator.mk'",
      "ClosureOperator.monotone",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toCommMonoid",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.cfc_nnreal",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "Compl.compl",
      "CompleteAtomicBooleanAlgebra.toCompleteBooleanAlgebra",
      "CompleteBooleanAlgebra.toCompleteDistribLattice",
      "CompleteBooleanAlgebra.toCompleteLattice",
      "CompleteDistribLattice.toFrame",
      "CompleteLattice.toBoundedOrder",
      "CompleteLattice.toCompleteSemilatticeInf",
      "CompleteLattice.toCompleteSemilatticeSup",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteLattice.toLattice",
      "CompleteSemilatticeInf.toPartialOrder",
      "CompleteSemilatticeSup.toSupSet",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_mul_I",
      "Complex.I_sq",
      "Complex.SMul.instSMulRealComplex",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.dist_eq",
      "Complex.exists_norm_eq_mul_self",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instCompleteSpace",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRatCast",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarModuleReal",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instT2Space",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_I",
      "Complex.norm_div",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_inv",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.ofReal_sub._simp_1",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_add_im",
      "Complex.re_le_norm",
      "Complex.re_sum",
      "Complex.real_smul",
      "Complex.sq_norm",
      "Con.toSetoid",
      "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
      "ConditionallyCompleteLattice.toLattice",
      "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice",
      "ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup",
      "ConditionallyCompletePartialOrderSup.toPartialOrder",
      "ConditionallyCompletePartialOrderSup.toSupSet",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.inner",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.norm",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv",
      "ContinuousLinearEquiv.continuous",
      "ContinuousLinearEquiv.continuousSemilinearEquivClass",
      "ContinuousLinearEquiv.equivLike",
      "ContinuousLinearEquiv.injective",
      "ContinuousLinearEquiv.mk",
      "ContinuousLinearEquiv.refl",
      "ContinuousLinearEquiv.symm",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearEquiv.toLinearEquiv",
      "ContinuousLinearMap",
      "ContinuousLinearMap.IsPositive.inner_nonneg_right",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.adjoint_inner_right",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_right",
      "ContinuousLinearMap.codRestrict",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_id",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.id",
      "ContinuousLinearMap.id_comp",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instLoewnerPartialOrder._proof_4",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instNonnegSpectrumClassRealId",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_of_opNorm_le_of_le",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.map_tsum",
      "ContinuousLinearMap.map_zero",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mul",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.norm_id_le",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.opNorm_le_of_unit_norm",
      "ContinuousLinearMap.opNorm_zero",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.restrictScalars",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.sum_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.toSpanSingleton",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.unit_le_opNorm",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousLinearMapWOT",
      "ContinuousLinearMapWOT.continuous_dual_apply",
      "ContinuousLinearMapWOT.inducingFn",
      "ContinuousLinearMapWOT.instAddCommGroup",
      "ContinuousLinearMapWOT.instFunLike",
      "ContinuousLinearMapWOT.instModule",
      "ContinuousLinearMapWOT.instTopologicalSpace",
      "ContinuousLinearMapWOT.isInducing_inducingFn",
      "ContinuousLinearMapWOT.ofCLM",
      "ContinuousLinearMapWOT.toCLM",
      "ContinuousMapClass.map_continuous",
      "ContinuousMul",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.mul",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearEquivClass.continuousSemilinearMapClass",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "Convex",
      "Countable.exists_injective_nat",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.comp",
      "DenseRange.equalizer",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Directed",
      "Disjoint",
      "Dist.dist",
      "Dist.mk",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.mk",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing",
      "DivisionRing.isSimpleRing",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRatCast",
      "DivisionRing.toRing",
      "DivisionSemiring.isPrincipalIdealRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "ENNReal.ofReal",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.casesOn",
      "Eq.ge",
      "Eq.le",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.subset",
      "Eq.symm",
      "Eq.trans",
      "Eq.trans_le",
      "Eq.trans_ne",
      "Equiv",
      "Equiv.Perm.star",
      "Equiv.apply_symm_apply",
      "Equiv.ext",
      "Equiv.injective",
      "Equiv.instEquivLike",
      "Equiv.invFun",
      "Equiv.left_inv",
      "Equiv.mk",
      "Equiv.ofBijective",
      "Equiv.prodComm",
      "Equiv.refl",
      "Equiv.right_inv",
      "Equiv.surjective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "Equiv.symm_image_image",
      "Equiv.toFun",
      "Equiv.trans",
      "EquivLike.toFunLike",
      "Equivalence",
      "Equivalence.mk",
      "Equivalence.refl",
      "Equivalence.symm",
      "Equivalence.trans",
      "EuclideanDomain.toNontrivial",
      "EuclideanDomain.to_principal_ideal_domain",
      "EuclideanSpace",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field",
      "Field.instIsLocalRing",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toEuclideanDomain",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.Eventually.of_forall",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.const_smul",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.norm",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.cofinite",
      "Filter.comap",
      "Filter.instInfSet",
      "Filter.instPartialOrder",
      "Filter.lift'",
      "Filter.mp_mem",
      "Filter.principal",
      "Filter.sets",
      "Filter.univ_mem'",
      "Fin",
      "Fin.ext_iff",
      "Fin.fintype",
      "Fin.instCommMonoid",
      "Fin.instInhabited",
      "Fin.instNeZeroHAddNatOfNat_mathlib_1",
      "Fin.instNonUnitalCommRing",
      "Fin.instOfNat",
      "Fin.isLt",
      "Fin.mk",
      "Fin.sum_univ_two",
      "Fin.val",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.complete",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_rclike",
      "FiniteDimensional.proper_real",
      "FiniteDimensional.rclike_to_real",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.Subtype.fintype",
      "Finset.card",
      "Finset.card_singleton",
      "Finset.decidableMem",
      "Finset.induction_on",
      "Finset.instEmptyCollection",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.instSingleton",
      "Finset.mem_insert",
      "Finset.mem_insert_of_mem",
      "Finset.mem_insert_self",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.notMem_empty._simp_1",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.smul_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_comm",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_const_zero",
      "Finset.sum_eq_zero",
      "Finset.sum_ite_eq",
      "Finset.sum_ite_eq'",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.sum_smul",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Finset.univ_unique",
      "Finsupp",
      "Finsupp.ext",
      "Finsupp.instAdd",
      "Finsupp.instAddCommGroup",
      "Finsupp.instAddCommMonoid",
      "Finsupp.instFunLike",
      "Finsupp.instSub",
      "Finsupp.instZero",
      "Finsupp.linearCombination",
      "Finsupp.mapRange",
      "Finsupp.mapRange.congr_simp",
      "Finsupp.mapRange_mapRange",
      "Finsupp.mapRange_mapRange._proof_1",
      "Finsupp.mem_support_iff",
      "Finsupp.module",
      "Finsupp.single",
      "Finsupp.single_eq_of_ne",
      "Finsupp.single_eq_same",
      "Finsupp.single_sub",
      "Finsupp.smulZeroClass",
      "Finsupp.smul_single",
      "Finsupp.support",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "Fintype.complete",
      "Fintype.elems",
      "Fintype.linearIndependent_iffₛ",
      "Fintype.ofFinite",
      "Fintype.sum_option",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Bijective",
      "Function.Embedding",
      "Function.Embedding.injective",
      "Function.Embedding.mk",
      "Function.Injective",
      "Function.Injective.eq_iff",
      "Function.Injective.ne",
      "Function.Involutive",
      "Function.LeftInverse",
      "Function.RightInverse",
      "Function.Surjective",
      "Function.Surjective.denseRange",
      "Function.Surjective.range_comp",
      "Function.comp",
      "Function.hasSMul",
      "Function.instFunLikeEmbedding",
      "Function.support",
      "Function.update",
      "Function.update_of_ne",
      "Function.update_self",
      "GE.ge",
      "GE.ge.le",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasEquiv.Equiv",
      "HasQuotient.Quotient",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSubset.Subset.antisymm",
      "HasSubset.Subset.trans",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.summable",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "HeytingAlgebra.toOrderBot",
      "HilbertBasis",
      "HilbertBasis.dense_span",
      "HilbertBasis.hasSum_repr",
      "HilbertBasis.instFunLike",
      "HilbertBasis.mk",
      "HilbertBasis.orthonormal",
      "HilbertBasis.repr",
      "HilbertBasis.repr_apply_apply",
      "HilbertBasis.toOrthonormalBasis",
      "Homeomorph",
      "Homeomorph.mk",
      "Homeomorph.toEquiv",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.of_eq",
      "Iff.rfl",
      "Iff.symm",
      "Iff.trans",
      "Infinite",
      "Inner.inner",
      "Inner.mk",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.mk",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rankOne_comp_rankOne",
      "InnerProductSpace.rankOne_def'",
      "InnerProductSpace.rankOne_ne_zero",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toDual",
      "InnerProductSpace.toDual_symm_apply",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.add_one_le_of_lt",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instLEInt",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.instSub",
      "Int.mul",
      "Int.natCast_add",
      "Int.natCast_nonneg",
      "Int.negOfNat",
      "Int.negSucc",
      "Int.ofNat",
      "Int.rawCast",
      "Int.sub_nonneg_of_le",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsCancelMulZero.toIsRightCancelMulZero",
      "IsChain",
      "IsChain.total",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.completeSpace_coe",
      "IsClosed.inter",
      "IsClosed.isOpen_compl",
      "IsClosed.mem_of_tendsto",
      "IsClosed.mk",
      "IsClosed.preimage",
      "IsCoatom",
      "IsCompact",
      "IsCompact.extremePoints_nonempty",
      "IsCompact.inter_right",
      "IsCompact.nonempty_iInter_of_directed_nonempty_isCompact_isClosed",
      "IsCompact.of_isClosed_subset",
      "IsCompact.totallyBounded",
      "IsCompactOperator",
      "IsCompactOperator.add",
      "IsCompactOperator.clm_comp",
      "IsCompactOperator.comp_clm",
      "IsCompactOperator.image_closedBall_subset_compact",
      "IsCompactOperator.smul",
      "IsConcreteLE",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsEmpty.forall_iff._simp_1",
      "IsEmpty.mk",
      "IsExposed",
      "IsExposed.isExtreme",
      "IsExtreme",
      "IsExtreme.extremePoints_eq",
      "IsExtreme.left_mem_of_mem_openSegment",
      "IsExtreme.mk",
      "IsExtreme.subset",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsLocalRing.toNontrivial",
      "IsModuleTopology.toContinuousSMul",
      "IsNoetherianRing.strongRankCondition",
      "IsOpen",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedModule.toPosSMulMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.cfcₙ",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsSimpleRing.instNontrivial",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.mk",
      "IsStarProjection.nonneg",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsTopologicalSemiring.toIsModuleTopology",
      "IsUniformAddGroup",
      "IsUnit",
      "IsUnit.div_mul_cancel",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.dist_eq",
      "Isometry.isClosedEmbedding",
      "LE",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LE.le.trans_eq",
      "LE.le.trans_lt",
      "LE.mk",
      "LT.lt",
      "LT.lt.false",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "LT.mk",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Lean.Omega.Coeffs.ofList",
      "Lean.Omega.Constraint.addInequality_sat",
      "Lean.Omega.Constraint.combine_sat'",
      "Lean.Omega.Constraint.isImpossible",
      "Lean.Omega.Constraint.mk",
      "Lean.Omega.Constraint.not_sat'_of_isImpossible",
      "Lean.Omega.Int.add_congr",
      "Lean.Omega.Int.ofNat_le_of_le",
      "Lean.Omega.Int.ofNat_lt_of_lt",
      "Lean.Omega.Int.sub_congr",
      "Lean.Omega.LinearCombo",
      "Lean.Omega.LinearCombo.add_eval",
      "Lean.Omega.LinearCombo.coordinate",
      "Lean.Omega.LinearCombo.coordinate_eval_0",
      "Lean.Omega.LinearCombo.coordinate_eval_1",
      "Lean.Omega.LinearCombo.coordinate_eval_2",
      "Lean.Omega.LinearCombo.eval",
      "Lean.Omega.LinearCombo.instAdd",
      "Lean.Omega.LinearCombo.instSub",
      "Lean.Omega.LinearCombo.mk",
      "Lean.Omega.LinearCombo.sub_eval",
      "Lean.Omega.combo_sat'",
      "Lean.Omega.tidy_sat",
      "Left.neg_nonpos_iff._simp_1",
      "LinearEquiv",
      "LinearEquiv.apply_symm_apply",
      "LinearEquiv.continuous_symm",
      "LinearEquiv.injective",
      "LinearEquiv.instEquivLike",
      "LinearEquiv.instSemilinearEquivClass",
      "LinearEquiv.map_add",
      "LinearEquiv.map_smul",
      "LinearEquiv.map_smulₛₗ",
      "LinearEquiv.mk",
      "LinearEquiv.refl",
      "LinearEquiv.surjective",
      "LinearEquiv.symm",
      "LinearEquiv.symm_apply_apply",
      "LinearEquiv.toContinuousLinearEquivOfContinuous",
      "LinearEquiv.toEquiv",
      "LinearEquiv.toLinearMap",
      "LinearIndependent",
      "LinearIndependent.eq_of_pair",
      "LinearIndependent.finite",
      "LinearIndependent.ne_zero",
      "LinearIndependent.pair_iff'",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometry.isometry",
      "LinearIsometry.toLinearMap",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.conjStarAlgEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.inner_map_map",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.mk",
      "LinearIsometryEquiv.norm_map",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.refl",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.symm_apply_apply",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearIsometryEquiv.toLinearEquiv",
      "LinearIsometryEquiv.trans",
      "LinearIsometryEquiv.ulift",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.IsSymmetric.id._simp_1",
      "LinearMap.addCommGroup",
      "LinearMap.addCommMonoid",
      "LinearMap.addMonoid",
      "LinearMap.coe_sum",
      "LinearMap.comp",
      "LinearMap.congr_fun",
      "LinearMap.continuous_iff_isClosed_ker",
      "LinearMap.continuous_of_seq_closed_graph",
      "LinearMap.exists_extend",
      "LinearMap.ext",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm.congr_simp",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.id",
      "LinearMap.instAdd",
      "LinearMap.instFunLike",
      "LinearMap.instSMul",
      "LinearMap.instSub",
      "LinearMap.instZero",
      "LinearMap.isCoatom_ker_of_surjective",
      "LinearMap.isometryOfInner",
      "LinearMap.ker",
      "LinearMap.ker_pi",
      "LinearMap.ker_zero",
      "LinearMap.map_smulₛₗ",
      "LinearMap.mem_ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.module",
      "LinearMap.pi",
      "LinearMap.quotKerEquivRange",
      "LinearMap.quotKerEquivRange_symm_apply_image",
      "LinearMap.range",
      "LinearMap.range.congr_simp",
      "LinearMap.range_eq_top",
      "LinearMap.range_id",
      "LinearMap.range_zero",
      "LinearMap.semilinearMapClass",
      "LinearMap.sum_apply",
      "LinearMap.surjective_iff_ne_zero",
      "LinearMap.toAddHom",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toDecidableLT",
      "LinearOrder.toLattice",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "LinearOrderedSemiField.toDenselyOrdered",
      "List",
      "List.Mem",
      "List.Mem.casesOn",
      "List.Mem.head",
      "List.Mem.tail",
      "List.cons",
      "List.cons.noConfusion",
      "List.ctorIdx",
      "List.finRange",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_eq_false",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_eq_true",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_add",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.le_of_le_of_eq",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.mul_zero_eq",
      "Mathlib.Tactic.Linarith.natCast_nonneg",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Push.not_forall_eq",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.atom_pf'",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Matrix",
      "Matrix.cons_val_fin_one",
      "Matrix.of",
      "Matrix.vecCons",
      "Matrix.vecEmpty",
      "Max.max",
      "Maximal",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.continuous_iff",
      "Metric.denseRange_iff",
      "Metric.isOpen_ball",
      "Metric.isOpen_iff",
      "Metric.mem_ball",
      "Metric.mem_ball_self",
      "Metric.mem_closedBall",
      "Metric.mem_closedBall._simp_1",
      "Metric.mem_closedBall_self",
      "Metric.mem_closure_iff",
      "Metric.mem_sphere",
      "Metric.sphere",
      "Metric.tendsto_nhds",
      "Metric.totallyBounded_iff",
      "MetricSpace",
      "MetricSpace.mk",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module",
      "Module.Basis",
      "Module.Basis.coord",
      "Module.Basis.instFunLike",
      "Module.Basis.linearIndependent",
      "Module.Basis.mem_span_image",
      "Module.Basis.mk",
      "Module.Basis.mk_apply",
      "Module.Basis.ne_zero",
      "Module.Basis.repr",
      "Module.Basis.repr_linearCombination",
      "Module.Basis.repr_self",
      "Module.Basis.repr_symm_apply",
      "Module.Basis.span_eq",
      "Module.Basis.unitsSMul",
      "Module.Basis.unitsSMul_apply",
      "Module.Finite",
      "Module.Finite.of_basis",
      "Module.Finite.of_surjective",
      "Module.Finite.top",
      "Module.Free.ChooseBasisIndex",
      "Module.Free.chooseBasis",
      "Module.Free.of_divisionRing",
      "Module.Free.rank_eq_card_chooseBasisIndex",
      "Module.complexToReal",
      "Module.finBasis",
      "Module.finrank",
      "Module.finrank_eq_card_basis",
      "Module.mk",
      "Module.rank",
      "Module.rank_lt_aleph0_iff",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulAction",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Monotone",
      "Mul",
      "Mul.mk",
      "MulAction",
      "MulAction.mk",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionSemiHomClass.map_smulₛₗ",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "NNReal",
      "NNReal.instAlgebraOfReal",
      "NNReal.instCommSemiring",
      "NNReal.instContinuousStar",
      "NNReal.instIsTopologicalSemiring",
      "NNReal.instPartialOrder",
      "NNReal.sqrt",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.below",
      "Nat.ble",
      "Nat.brecOn",
      "Nat.casesOn",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_add._simp_1",
      "Nat.cast_inj._simp_1",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.decLt",
      "Nat.decidableBallLT",
      "Nat.factorial",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instLinearOrder",
      "Nat.instMax",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.le_induction",
      "Nat.le_of_lt",
      "Nat.le_of_not_lt",
      "Nat.le_refl",
      "Nat.lt_or_gt_of_ne",
      "Nat.lt_succ_self",
      "Nat.mul",
      "Nat.ofNat_pos._simp_1",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.mk",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NoZeroDivisors",
      "NoZeroDivisors.eq_zero_or_eq_zero_of_mul_eq_zero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.norm_quasispectrum_le",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing",
      "NonUnitalNonAssocRing.left_distrib",
      "NonUnitalNonAssocRing.mk",
      "NonUnitalNonAssocRing.mul_zero",
      "NonUnitalNonAssocRing.right_distrib",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toMul",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.zero_mul",
      "NonUnitalNonAssocSemiring.mk",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.mk",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing",
      "NonUnitalRing.mk",
      "NonUnitalRing.mul_assoc",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.codRestrict",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.id",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.isometry",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mem_range",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.range",
      "NonUnitalStarAlgHom.rangeRestrict",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarAlgebra.instCompleteLatticeNonUnitalStarSubalgebra",
      "NonUnitalStarRingHomClass.toStarHomClass",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.ext",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instPartialOrder",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.mk",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra._proof_4",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra._proof_5",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring._proof_1",
      "NonUnitalStarSubalgebra.toNonUnitalSubalgebra",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebra.mk",
      "NonUnitalSubalgebra.toSubmodule",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiring.mk",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.toAddSubmonoidClass",
      "NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring",
      "Nonempty",
      "Nonempty.casesOn",
      "Nonempty.intro",
      "Nonneg.instContinuousFunctionalCalculus",
      "NonnegSpectrumClass",
      "NonnegSpectrumClass.quasispectrum_nonneg_of_nonneg",
      "Nontrivial",
      "Nontrivial.mk",
      "Nontrivial.to_nonempty",
      "NontriviallyNormedField",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.mk",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.dist_eq",
      "NormedAddCommGroup.dist_eq._autoParam",
      "NormedAddCommGroup.mk",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAddGroup.toSeminormedAddGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toCommRing",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.mk",
      "NormedSpace.norm_normalize",
      "NormedSpace.normalize",
      "NormedSpace.polar_ball",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Option",
      "Option.elim'",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.elim",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Or.resolve_right",
      "Order.Frame.toHeytingAlgebra",
      "Order.IsIdeal.Directed",
      "Order.IsIdeal.IsLowerSet",
      "Order.IsIdeal.Nonempty",
      "Order.IsPFilter",
      "Order.IsPFilter.of_def",
      "OrderBot.toBot",
      "OrderDual",
      "OrderDual.instLE",
      "OrderDual.ofDual",
      "OrderHomClass.mono",
      "OrderIso",
      "OrderIso.apply_symm_apply",
      "OrderIso.injective",
      "OrderIso.map_iSup",
      "OrderIso.map_sup",
      "OrderIso.map_top",
      "OrderIso.monotone",
      "OrderIso.symm",
      "OrderIso.symm_apply_apply",
      "OrderIso.trans",
      "OrderTop.toTop",
      "Orthonormal.comp",
      "Orthonormal.linearIndependent",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.repr",
      "OrthonormalBasis.repr_apply_apply",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "OrthonormalBasis.sum_repr",
      "OrthonormalBasis.sum_repr'",
      "OrthonormalBasis.toBasis",
      "PUnit.fintype",
      "PUnit.instUnique",
      "PUnit.unit",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.Function.module",
      "Pi.addCommGroup",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instSMul",
      "Pi.instSub",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_apply",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "Pi.topologicalSpace",
      "PiLp.innerProductSpace._proof_1",
      "PiLp.seminormedAddCommGroup",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom",
      "PositiveLinearMap.gnsNonUnitalStarAlgHom_apply_coe",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instFunLike",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instLinearMapClass",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.leftMulMapPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.norm_apply_le_of_nonneg",
      "PositiveLinearMap.ofPreGNS",
      "PositiveLinearMap.preGNS_inner_def",
      "PositiveLinearMap.preGNS_norm_def",
      "PositiveLinearMap.toPreGNS",
      "PreLp",
      "Preorder",
      "Preorder.mk",
      "Preorder.toLE",
      "Preorder.toLT",
      "PrincipalIdealRing.isNoetherianRing",
      "Prod",
      "Prod.algebra",
      "Prod.casesOn",
      "Prod.ext",
      "Prod.fst",
      "Prod.instSemiring",
      "Prod.instStar",
      "Prod.mk",
      "Prod.snd",
      "Prod.swap",
      "Prod.swap_swap",
      "Prod.toNorm",
      "Projectivization",
      "Projectivization.Independent",
      "Projectivization.Independent.mk",
      "Projectivization.Subspace",
      "Projectivization.Subspace.instCompleteLattice",
      "Projectivization.Subspace.instPartialOrder",
      "Projectivization.Subspace.instSetLike",
      "Projectivization.Subspace.mem_add",
      "Projectivization.Subspace.mem_submodule_iff",
      "Projectivization.Subspace.mk",
      "Projectivization.Subspace.span",
      "Projectivization.Subspace.spanCarrier",
      "Projectivization.Subspace.spanCarrier.rec",
      "Projectivization.Subspace.span_coe",
      "Projectivization.Subspace.span_le_span",
      "Projectivization.Subspace.span_le_subspace_iff",
      "Projectivization.Subspace.submodule",
      "Projectivization.Subspace.subset_span",
      "Projectivization.independent_iff",
      "Projectivization.independent_iff_iSupIndep",
      "Projectivization.instNonemptyOfNontrivial",
      "Projectivization.mk",
      "Projectivization.mk.congr_simp",
      "Projectivization.mk_eq_mk_iff'",
      "Projectivization.mk_rep",
      "Projectivization.rep",
      "Projectivization.rep_nonzero",
      "Projectivization.submodule",
      "Projectivization.submodule_eq",
      "Projectivization.submodule_injective",
      "Projectivization.submodule_mk",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.cobounded_sets._autoParam",
      "PseudoMetricSpace.edist_dist._autoParam",
      "PseudoMetricSpace.mk",
      "PseudoMetricSpace.toBornology",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "PseudoMetricSpace.uniformity_dist._autoParam",
      "Quotient",
      "Quotient.eq",
      "Quotient.inductionOn",
      "Quotient.inductionOn₂",
      "Quotient.lift",
      "Quotient.map'",
      "Quotient.mk",
      "Quotient.mk'",
      "Quotient.mk''",
      "Quotient.sound",
      "QuotientModule.Quotient.topologicalSpace",
      "QuotientModule.Quotient.topologicalSpace._proof_1",
      "QuotientModule.Quotient.topologicalSpace._proof_2",
      "QuotientModule.Quotient.topologicalSpace._proof_3",
      "RCLike",
      "RCLike.charZero_rclike",
      "RCLike.im",
      "RCLike.innerProductSpace",
      "RCLike.instCStarRing",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.nonneg_iff_exists_ofReal",
      "RCLike.norm_natCast",
      "RCLike.norm_ofReal",
      "RCLike.norm_sq_eq_def",
      "RCLike.ofReal",
      "RCLike.one_im",
      "RCLike.one_re",
      "RCLike.re",
      "RCLike.reCLM",
      "RCLike.re_eq_complex_re",
      "RCLike.re_eq_self_of_le",
      "RCLike.re_le_norm",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toCompleteSpace",
      "RCLike.toDecidableEq",
      "RCLike.toDenselyNormedField",
      "RCLike.toInnerProductSpaceReal",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarOrderedRing",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "RCLike.zero_re",
      "Rat",
      "Rat.cast",
      "Rat.cast_zero",
      "Rat.commSemiring",
      "Rat.denseRange_cast",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.instOfNat",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.denselyNormedField",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instConditionallyCompleteLinearOrder",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInfSet",
      "Real.instInv",
      "Real.instIsDomain",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.norm_ofNat",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_one",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Real.sqrt_sq",
      "RelIso.mk",
      "RelIso.toEquiv",
      "Relation.EqvGen",
      "Relation.EqvGen.rec",
      "Relation.EqvGen.refl",
      "Relation.EqvGen.rel",
      "Relation.EqvGen.setoid",
      "Relation.EqvGen.symm",
      "Relation.EqvGen.trans",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingCon.toCon",
      "RingEquiv",
      "RingEquiv.apply_symm_apply",
      "RingEquiv.ext",
      "RingEquiv.injective",
      "RingEquiv.instEquivLike",
      "RingEquiv.instRingEquivClass",
      "RingEquiv.map_mul",
      "RingEquiv.map_zero",
      "RingEquiv.mk",
      "RingEquiv.refl",
      "RingEquiv.surjective",
      "RingEquiv.symm",
      "RingEquiv.symm_apply_apply",
      "RingEquiv.toEquiv",
      "RingEquiv.toRingHom",
      "RingEquivClass.toNonUnitalRingHomClass",
      "RingEquivClass.toRingHomClass",
      "RingHom",
      "RingHom.ext",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toLinearMapClassNNRat",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomClass.toRingHom",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomCompTriple.right_ids",
      "RingHomInvPair",
      "RingHomInvPair.comp_apply_eq",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.of_ringEquiv",
      "RingHomInvPair.of_ringEquiv_symm",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomIsometric.starRingEnd",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMul.mk",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulCommClass.smul_comm",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulMemClass.smul_mem",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "SProd.sprod",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mk",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearEquivClass.instSemilinearMapClass",
      "SemilinearIsometryClass.toIsometryClass",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.semilinearMap",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddCommGroup.to_lipschitzAdd",
      "SeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.left_distrib",
      "Semiring.mul_zero",
      "Semiring.right_distrib",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "Semiring.zero_mul",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Countable",
      "Set.Countable.mono",
      "Set.Countable.to_subtype",
      "Set.Elem",
      "Set.Finite",
      "Set.Finite.fintype",
      "Set.Finite.image",
      "Set.Finite.insert",
      "Set.Finite.union",
      "Set.Icc",
      "Set.Ioi",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Nonempty.to_subtype",
      "Set.Pairwise",
      "Set.Subset.antisymm",
      "Set.Subset.rfl",
      "Set.Subset.trans",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.disjoint_left",
      "Set.empty_subset",
      "Set.eq_empty_iff_forall_notMem",
      "Set.eq_univ_iff_forall",
      "Set.ext",
      "Set.ext_iff",
      "Set.extremePoints",
      "Set.finite_range",
      "Set.finite_singleton",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.iUnion",
      "Set.image",
      "Set.image_congr",
      "Set.image_empty",
      "Set.image_id",
      "Set.image_id'",
      "Set.image_image",
      "Set.image_mono",
      "Set.image_pair",
      "Set.image_preimage_subset",
      "Set.image_singleton",
      "Set.image_union",
      "Set.image_univ",
      "Set.instAntisymmSubset",
      "Set.instBooleanAlgebra",
      "Set.instBoundedOrder",
      "Set.instCompl",
      "Set.instCompleteAtomicBooleanAlgebra",
      "Set.instDistribLattice",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instIsTransSubset",
      "Set.instLE",
      "Set.instMembership",
      "Set.instOrderTop",
      "Set.instReflSubset",
      "Set.instSProd",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_compl_iff",
      "Set.mem_empty_iff_false",
      "Set.mem_iInter",
      "Set.mem_iUnion₂",
      "Set.mem_image",
      "Set.mem_insert",
      "Set.mem_insert_iff",
      "Set.mem_insert_iff._simp_1",
      "Set.mem_insert_of_mem",
      "Set.mem_inter_iff",
      "Set.mem_preimage",
      "Set.mem_range_self",
      "Set.mem_sInter",
      "Set.mem_sUnion_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.mem_union",
      "Set.mem_univ",
      "Set.mem_univ._simp_1",
      "Set.not_nonempty_iff_eq_empty",
      "Set.pairwise_singleton",
      "Set.pi",
      "Set.preimage",
      "Set.preimage_empty",
      "Set.preimage_union",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.range_eq_univ",
      "Set.sInter",
      "Set.sInter_subset_of_mem",
      "Set.sUnion",
      "Set.singleton_nonempty",
      "Set.singleton_subset_iff",
      "Set.subset_sUnion_of_mem",
      "Set.subset_union_left",
      "Set.subset_union_right",
      "Set.subset_univ",
      "Set.toFinite",
      "Set.union_subset",
      "Set.univ",
      "SetLike",
      "SetLike.coe",
      "SetLike.coe_injective",
      "SetLike.ext",
      "SetLike.instMembership",
      "SetLike.le_def",
      "SetLike.mem_coe",
      "SetRel.comp",
      "Setoid",
      "Setoid.iseqv",
      "Setoid.mk",
      "Setoid.r",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.mk",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv",
      "StarAlgEquiv.apply_symm_apply",
      "StarAlgEquiv.instEquivLike",
      "StarAlgEquiv.instFunLike",
      "StarAlgEquiv.instNonUnitalAlgEquivClass",
      "StarAlgEquiv.instStarRingEquivClass",
      "StarAlgEquiv.mk",
      "StarAlgEquiv.symm",
      "StarAlgEquiv.symm_apply_apply",
      "StarAlgEquiv.toNonUnitalStarAlgHom",
      "StarAlgEquiv.toNonUnitalStarAlgHom_apply",
      "StarAlgEquiv.toStarAlgHom",
      "StarAlgEquiv.toStarRingEquiv",
      "StarAlgEquiv.trans",
      "StarAlgHom",
      "StarAlgHom.coe_toNonUnitalStarAlgHom",
      "StarAlgHom.comp",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.instStarRing",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.nonneg_iff",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingEquiv.mk",
      "StarRingEquiv.toRingEquiv",
      "StarRingEquivClass.instNonUnitalStarRingHomClass",
      "StarRingEquivClass.toRingEquivClass",
      "StarRingHomClass.instOrderHomClass",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "StrongDual",
      "StrongDual.extendRCLike",
      "StrongDual.norm_extendRCLike",
      "StrongDual.polar",
      "StrongDual.re_extendRCLike_apply",
      "StrongDual.toWeakDual",
      "Sub.mk",
      "SubNegMonoid.mk",
      "SubNegMonoid.sub_eq_add_neg._autoParam",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegMonoid.zsmul_neg'._autoParam",
      "SubNegMonoid.zsmul_succ'._autoParam",
      "SubNegMonoid.zsmul_zero'._autoParam",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.Quotient.addCommGroup._aux_1",
      "Submodule.Quotient.addCommGroup._aux_3",
      "Submodule.Quotient.addCommGroup._aux_6",
      "Submodule.Quotient.addCommGroup._proof_10",
      "Submodule.Quotient.addCommGroup._proof_11",
      "Submodule.Quotient.addCommGroup._proof_12",
      "Submodule.Quotient.addCommGroup._proof_5",
      "Submodule.Quotient.addCommGroup._proof_8",
      "Submodule.Quotient.addCommGroup._proof_9",
      "Submodule.Quotient.addCommMonoid",
      "Submodule.Quotient.addMonoid._aux_1",
      "Submodule.Quotient.addMonoid._aux_6",
      "Submodule.Quotient.addMonoid._proof_3",
      "Submodule.Quotient.addMonoid._proof_4",
      "Submodule.Quotient.addMonoid._proof_5",
      "Submodule.Quotient.addMonoid._proof_8",
      "Submodule.Quotient.addMonoid._proof_9",
      "Submodule.Quotient.completeSpace",
      "Submodule.Quotient.distribMulAction'._proof_1",
      "Submodule.Quotient.distribMulAction'._proof_2",
      "Submodule.Quotient.eq",
      "Submodule.Quotient.instSMul'._proof_2",
      "Submodule.Quotient.instZeroQuotient",
      "Submodule.Quotient.mk",
      "Submodule.Quotient.mk_eq_zero",
      "Submodule.Quotient.module",
      "Submodule.Quotient.module'._proof_3",
      "Submodule.Quotient.module'._proof_4",
      "Submodule.Quotient.mulAction'._proof_1",
      "Submodule.Quotient.mulAction'._proof_2",
      "Submodule.Quotient.norm_mk_le",
      "Submodule.Quotient.norm_mk_lt",
      "Submodule.Quotient.normedAddCommGroup._proof_1",
      "Submodule.Quotient.normedAddCommGroup._proof_2",
      "Submodule.Quotient.normedSpace",
      "Submodule.Quotient.normedSpace._proof_1",
      "Submodule.Quotient.seminormedAddCommGroup",
      "Submodule.Quotient.seminormedAddCommGroup._aux_1",
      "Submodule.Quotient.seminormedAddCommGroup._aux_11",
      "Submodule.Quotient.seminormedAddCommGroup._aux_17",
      "Submodule.Quotient.seminormedAddCommGroup._aux_3",
      "Submodule.Quotient.seminormedAddCommGroup._aux_8",
      "Submodule.Quotient.seminormedAddCommGroup._proof_10",
      "Submodule.Quotient.seminormedAddCommGroup._proof_13",
      "Submodule.Quotient.seminormedAddCommGroup._proof_14",
      "Submodule.Quotient.seminormedAddCommGroup._proof_15",
      "Submodule.Quotient.seminormedAddCommGroup._proof_16",
      "Submodule.Quotient.seminormedAddCommGroup._proof_19",
      "Submodule.Quotient.seminormedAddCommGroup._proof_20",
      "Submodule.Quotient.seminormedAddCommGroup._proof_5",
      "Submodule.Quotient.seminormedAddCommGroup._proof_6",
      "Submodule.Quotient.seminormedAddCommGroup._proof_7",
      "Submodule.add",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.addSubgroupClass",
      "Submodule.addSubmonoidClass",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.comap",
      "Submodule.completeLattice",
      "Submodule.decidableEq",
      "Submodule.eq_bot_iff",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.exists_le_ker_of_notMem",
      "Submodule.ext",
      "Submodule.finiteDimensional_of_le",
      "Submodule.finiteDimensional_sup",
      "Submodule.hasQuotient",
      "Submodule.innerProductSpace",
      "Submodule.inner_left_of_mem_orthogonal",
      "Submodule.inner_orthogonalProjectionOnto_eq_of_mem_left",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.inner_starProjection_left_eq_right",
      "Submodule.instBot",
      "Submodule.instInfSet",
      "Submodule.instMin",
      "Submodule.instOrderBot",
      "Submodule.instOrderTop",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.le_topologicalClosure",
      "Submodule.liftQ",
      "Submodule.liftQL",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_iInf",
      "Submodule.mem_orthogonal",
      "Submodule.mem_span_pair",
      "Submodule.mem_span_range_iff_exists_fun",
      "Submodule.mem_span_singleton",
      "Submodule.mem_span_singleton_self",
      "Submodule.mem_sup",
      "Submodule.mem_top",
      "Submodule.mem_top._simp_1",
      "Submodule.mk",
      "Submodule.mkQ",
      "Submodule.mkQL",
      "Submodule.mkQ_surjective",
      "Submodule.mk_mem_projectivization_iff",
      "Submodule.module",
      "Submodule.norm_orthogonalProjectionOnto_apply_le",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.projectivization",
      "Submodule.quotEquivOfEq",
      "Submodule.quotientRel",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.span_eq_iSup_of_singleton_spans",
      "Submodule.span_le",
      "Submodule.span_singleton_le_iff_mem",
      "Submodule.starProjection",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_inner_eq_zero",
      "Submodule.starProjection_minimal",
      "Submodule.starProjection_norm_le",
      "Submodule.starProjection_unit_singleton",
      "Submodule.sub_mem",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "Submodule.subtypeL",
      "Submodule.sum_mem",
      "Submodule.topEquiv",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submodule.zero_mem",
      "SubmoduleClass.module",
      "SubmoduleClass.toNormedSpace",
      "Submonoid",
      "Submonoid.instSetLike",
      "Submonoid.mul",
      "Submonoid.one",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "Subsingleton.intro",
      "Subspace",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.forall",
      "Subtype.instDecidableEq",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.range_coe_subtype",
      "Subtype.val",
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      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
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      "Summable.hasSum",
      "Summable.mul_right",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "Superset",
      "T2Space.t1Space",
      "T5Space.toT1Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.mk",
      "TopologicalSpace.ofClosed",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Topology.IsInducing",
      "Topology.IsInducing.closure_eq_preimage_closure_image",
      "Topology.IsInducing.piMap",
      "TotallyBounded",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "TwoSidedIdeal",
      "TwoSidedIdeal.coe_top",
      "TwoSidedIdeal.ext",
      "TwoSidedIdeal.instInfSet",
      "TwoSidedIdeal.instPartialOrder",
      "TwoSidedIdeal.instSemilatticeInf",
      "TwoSidedIdeal.instTop",
      "TwoSidedIdeal.ker",
      "TwoSidedIdeal.mem_iInf",
      "TwoSidedIdeal.mem_inf",
      "TwoSidedIdeal.mem_ker",
      "TwoSidedIdeal.mem_top",
      "TwoSidedIdeal.mul_mem_left",
      "TwoSidedIdeal.mul_mem_right",
      "TwoSidedIdeal.ringCon",
      "TwoSidedIdeal.setLike",
      "ULift",
      "ULift.down",
      "ULift.instCompleteSpace",
      "ULift.module'",
      "ULift.normedAddCommGroup",
      "ULift.normedSpace",
      "ULift.seminormedAddCommGroup",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.coe'",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.continuous_coe",
      "UniformSpace.Completion.denseRange_coe",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.inner_coe",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instDistribMulActionOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instIsBoundedSMul",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instMetricSpace",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNorm",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instNormedSpace",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.norm_coe",
      "UniformSpace.Completion.toInner",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.mk",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_mul_star_self",
      "Unitary.coe_star",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitary.mul_star_self",
      "Unitary.star_mul_self",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_inr",
      "Unitization.continuous_snd",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_add",
      "Unitization.inr_injective",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instAddGroup",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instCStarRing",
      "Unitization.instCompleteSpace",
      "Unitization.instDistribMulAction",
      "Unitization.instIsScalarTower",
      "Unitization.instModule",
      "Unitization.instMonoid",
      "Unitization.instMul",
      "Unitization.instNonAssocRing",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarAddMonoid",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.snd_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "Units",
      "Units.instMonoid",
      "Units.instMulAction",
      "Units.instOne",
      "Units.instSMul",
      "Units.mk0",
      "Units.val",
      "WeakBilin.locallyConvexSpace",
      "WeakDual",
      "WeakDual.eval_continuous",
      "WeakDual.instAddCommGroup",
      "WeakDual.instContinuousSMul",
      "WeakDual.instDistribMulAction",
      "WeakDual.instIsTopologicalAddGroup",
      "WeakDual.instModule",
      "WeakDual.instModule'",
      "WeakDual.instT2Space",
      "WeakDual.isClosed_closedBall",
      "WeakDual.isCompact_closedBall",
      "WeakDual.toStrongDual",
      "WithCStarModule.instCStarModuleComplex",
      "WithLp.instModule",
      "WithLp.ofLp",
      "Zero",
      "Zero.mk",
      "Zero.ofOfNat0",
      "Zero.toOfNat0",
      "ZeroMemClass.coe_eq_zero._simp_1",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem._simp_1",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_norm",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_apply",
      "add_assoc",
      "add_comm",
      "add_le_add",
      "add_left_cancel",
      "add_left_comm",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_neg_cancel",
      "add_neg_cancel_comm_assoc",
      "add_nonneg",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_right_cancel",
      "add_right_inj._simp_1",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_inj._simp_1",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "algebraMap.coe_pow._simp_1",
      "algebraMap.coe_zero",
      "and_congr",
      "and_congr_right",
      "and_self",
      "autoParam",
      "binderNameHint",
      "bot_le",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_mul",
      "cfc_real_eq_complex",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_add",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "cfcₙ_zero",
      "ciInf_le",
      "closure",
      "closure_convexHull_extremePoints",
      "closure_minimal",
      "closure_singleton",
      "commRing_strongRankCondition",
      "commute_iff_eq",
      "compactOperator",
      "compl_compl",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_apply",
      "continuous_const",
      "continuous_finset_sum",
      "continuous_id",
      "continuous_id'",
      "continuous_iff_isClosed",
      "continuous_norm",
      "continuous_pi",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "convexHull",
      "convexHull_singleton",
      "convex_ball",
      "convex_closedBall",
      "convex_singleton",
      "covariant_swap_add_of_covariant_add",
      "denseRange_iff_closure_range",
      "dist_eq_norm",
      "dist_nonneg",
      "dist_self",
      "dist_zero_right",
      "dite",
      "dite_cond_eq_false",
      "dite_cond_eq_true",
      "div_eq_mul_inv",
      "div_le_iff₀",
      "div_le_one",
      "div_lt_iff₀",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_pow",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_sub_iff_add_eq",
      "eq_true",
      "even_two_mul",
      "exists_congr",
      "exists_dual_vector",
      "exists_dual_vector''",
      "exists_extension_norm_eq",
      "exists_hilbertBasis",
      "exists_nat_gt",
      "exists_ne",
      "exists_pair_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_left",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_implies",
      "false_or",
      "finite_or_infinite",
      "forall_congr",
      "forall_const",
      "forall_eq",
      "funext",
      "ge_iff_le._simp_1",
      "geometric_hahn_banach_open",
      "gt_iff_lt._simp_1",
      "half_lt_self",
      "half_lt_self_iff._simp_1",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "iInf",
      "iSup",
      "iSupIndep",
      "iSupIndep_map_orderIso_iff",
      "iSup_congr_Prop",
      "iSup_image",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_le_left",
      "inf_le_right",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_eq_one_iff_of_norm_eq_one",
      "inner_eq_zero_symm",
      "inner_neg_right",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_one_of_norm_eq_one",
      "inner_self_eq_zero",
      "inner_self_ne_zero",
      "inner_smul_left",
      "inner_smul_left_eq_smul",
      "inner_smul_real_left",
      "inner_smul_real_right",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "inner_sum",
      "inner_zero_left",
      "inner_zero_right",
      "instAddCommGroupPreLp",
      "instAddCommMonoidWeakDual",
      "instAddNat",
      "instArchimedeanNat",
      "instBoundedAddOfLipschitzAdd",
      "instBoundedMul",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableAnd",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqProd",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDecidableOr",
      "instDiscreteTopologyNat",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instDistribSMul",
      "instFaithfulSMul_1",
      "instFintypeOption",
      "instFintypeSum",
      "instFunLikeOrderIso",
      "instFunLikeWeakDual",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasEquivOfSetoid",
      "instHasSolidNormReal",
      "instHasSummableGeomSeries",
      "instInhabitedNat",
      "instInhabitedPUnit",
      "instInnerProductSpaceRealComplex",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsConcreteLE",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsEmptyFalse",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsOrderedModule",
      "instIsRCLikeNormedField",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsSimpleModule",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMetricSpaceNNReal",
      "instMulActionNatOfAddMonoid",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNatCastInt",
      "instNeZeroNatHAdd_1",
      "instNonUnitalAlgHomClassOfNonUnitalAlgEquivClass",
      "instNonUnitalCStarAlgebraProd",
      "instNonemptyOfInhabited",
      "instNonemptyProd",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instReflLe",
      "instSMulCommClassOfIsScalarTower",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingNNReal",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT2SpaceSubtype",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceNat",
      "instTopologicalSpaceSubtype",
      "instTopologicalSpaceWeakDual",
      "instTransEq",
      "instTransEq_1",
      "instTransIff",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "instZeroCompletion",
      "instZeroLEOneClass",
      "inv_eq_zero._simp_1",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_one",
      "inv_pos",
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      "inv_pow",
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      "isClosed_setOf_isCompactOperator",
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      "isCompactOperator_of_locallyCompactSpace_dom",
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      "isEmpty_or_nonempty",
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      "isIdempotentElem_iff",
      "isOpen_Ioi",
      "isOpen_pi_iff",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "isUnit_iff_ne_zero._simp_1",
      "ite",
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      "ite_cond_eq_true",
      "ite_congr",
      "ite_mul",
      "ite_self",
      "le_abs_self",
      "le_add_of_nonneg_right",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_max_right",
      "le_min",
      "le_of_eq",
      "le_of_forall_pos_le_add",
      "le_of_le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "le_refl",
      "le_rfl",
      "le_sup_iff._simp_3",
      "le_sup_left",
      "le_sup_right",
      "le_top",
      "locallyCompact_of_proper",
      "lowerBounds",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_div_iff₀",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_lt",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_lt_of_le",
      "lt_of_not_ge",
      "lt_or_eq_of_le",
      "lt_or_gt_of_ne",
      "lt_trans",
      "map_add",
      "map_div₀",
      "map_eq_zero._simp_1",
      "map_inv₀",
      "map_mul",
      "map_natCast",
      "map_neg",
      "map_one",
      "map_pow",
      "map_ratCast",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "max_self",
      "mem_ball_zero_iff",
      "mem_closedBall_zero_iff",
      "mem_closure_iff",
      "mem_extremePoints_iff_left",
      "min_eq_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mt",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_eq_zero",
      "mul_eq_zero._simp_1",
      "mul_inv_cancel_left₀",
      "mul_inv_cancel₀",
      "mul_ite",
      "mul_le_mul",
      "mul_le_mul_iff_left₀",
      "mul_le_mul_iff_right₀",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_le_of_le_one_right",
      "mul_left_cancel₀",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_ne_zero_iff",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_right_cancel₀",
      "mul_self_inj_of_nonneg",
      "mul_smul_comm",
      "mul_star_self_nonneg._simp_1",
      "mul_sub",
      "ne_of_gt",
      "ne_of_lt",
      "neg_add_cancel",
      "neg_add_eq_zero",
      "neg_add_rev",
      "neg_apply",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_one_smul",
      "neg_smul",
      "neg_sub",
      "neg_zero",
      "nhds",
      "noConfusion_of_Nat",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_div",
      "norm_eq_zero",
      "norm_eq_zero._simp_1",
      "norm_inner_eq_norm_iff",
      "norm_inner_le_norm",
      "norm_inv",
      "norm_le_zero_iff._simp_1",
      "norm_map",
      "norm_mul",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_exists",
      "not_false",
      "not_false_eq_true",
      "not_le_of_gt",
      "not_lt._simp_1",
      "not_lt_of_ge",
      "not_or",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_false",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "openSegment",
      "openSegment_symm",
      "optParam",
      "or_comm",
      "or_self",
      "or_true",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "rank_le_one_iff",
      "rank_submodule_le_one_iff'",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_mul",
      "smul_eq_zero",
      "smul_inv_smul₀",
      "smul_left_injective",
      "smul_mul_assoc",
      "smul_mul_smul_comm",
      "smul_ne_zero",
      "smul_neg",
      "smul_nonneg",
      "smul_right_injective",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.norm_le_norm_of_mem",
      "spectrum_nonneg_of_nonneg",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingAut",
      "starRingEnd",
      "star_div₀",
      "star_eq_zero",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_sum",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_lt_self",
      "sub_mul",
      "sub_ne_zero",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "subset_closure",
      "subsingleton_or_nontrivial",
      "sum_apply",
      "sum_inner",
      "sum_mem",
      "summable_geometric_of_norm_lt_one",
      "summable_geometric_two'",
      "sup_eq_right._simp_2",
      "sup_le",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_const_nhds_iff._simp_1",
      "tendsto_finsetSum",
      "tendsto_iff_dist_tendsto_zero",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "topDualPairing",
      "top_unique",
      "true_or",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_ite_eq",
      "tsum_star",
      "two_mul",
      "two_smul",
      "uniformity",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub",
      "zorn_subset_nonempty"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.C0DirectSum": [
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubmonoid.mk",
      "AddSubsemigroup.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "And",
      "And.left",
      "And.right",
      "Bool",
      "Bool.false",
      "CStarAlgebra.toNormedRing",
      "CStarRing.to_normedStarGroup",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommMagma.toMul",
      "CommRing.toRing",
      "CommSemiring.toSemiring",
      "Complex",
      "Complex.instCommSemiring",
      "Complex.instDecidableEq",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instSemiring",
      "Complex.instZero",
      "Decidable.byContradiction",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribMulAction.toDistribSMul",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toSemiring",
      "ENNReal",
      "ENNReal.instTop",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "False",
      "False.elim",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul.hSMul",
      "HSub.hSub",
      "Iff.mpr",
      "Int",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inv.inv",
      "InvOneClass.toInv",
      "IsBoundedSMul",
      "IsOrderedRing.toPosMulMono",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "LE.le",
      "LT.lt",
      "LT.lt.le",
      "LinearOrder.toPartialOrder",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Membership.mem",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid.toPow",
      "MonoidWithZero.toMulZeroOneClass",
      "Mul",
      "MulActionWithZero.toSMulWithZero",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroOneClass.toMulZeroClass",
      "Nat",
      "Nat.cast_one",
      "Nat.cast_zero",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCommSemiring",
      "Nat.instNeZeroSucc",
      "Nat.mul",
      "Nat.rawCast",
      "Ne",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.mk",
      "NonUnitalSubalgebra.mk",
      "NonUnitalSubsemiring.mk",
      "Norm.norm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedField.toField",
      "NormedField.toNormedCommRing",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "Not",
      "OfNat.ofNat",
      "One.toOfNat1",
      "Or",
      "PartialOrder.toPreorder",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulReflectLE",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Real",
      "Real.commRing",
      "Real.decidableLE",
      "Real.instAdd",
      "Real.instAddGroup",
      "Real.instAddMonoid",
      "Real.instCommSemiring",
      "Real.instDivInvMonoid",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instPreorder",
      "Real.instRing",
      "Real.instZero",
      "Real.linearOrder",
      "Real.mul_self_sqrt",
      "Real.normedCommRing",
      "Real.partialOrder",
      "Real.semiring",
      "Real.sqrt",
      "Real.sqrt_pos",
      "Ring",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toSemiring",
      "SMulZeroClass.toSMul",
      "Semifield.toDivisionSemiring",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toPseudoMetricSpace",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNonAssocSemiring",
      "Set",
      "Set.Finite",
      "Set.Finite.subset",
      "Set.Finite.union",
      "Set.finite_empty._simp_1",
      "Set.instEmptyCollection",
      "Set.instMembership",
      "Set.instUnion",
      "Set.mem_union",
      "SetLike.instMembership",
      "Star.star",
      "StarRing.toStarAddMonoid",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.val",
      "Top.top",
      "Trans.trans",
      "True",
      "Union.union",
      "Zero.toOfNat0",
      "congr",
      "congrArg",
      "dite",
      "div_le_iff₀",
      "div_pos",
      "eq_false",
      "eq_true",
      "forall_congr",
      "funext",
      "half_pos",
      "id",
      "implies_congr",
      "inferInstance",
      "instAddCommGroupPreLp",
      "instAddNat",
      "instCommCStarAlgebraComplex",
      "instDecidableOr",
      "instDistribOfSemiring",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instMulZeroClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instTransLELT",
      "lp",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instMulSubtypePreLpMemAddSubgroupTopENNReal",
      "lp.instStarSubtypePreLpMemAddSubgroup",
      "lp.nonUnitalRing",
      "mul_comm",
      "mul_le_mul_of_nonneg_left",
      "mul_lt_mul_of_pos_right",
      "norm_add_le",
      "norm_mul_le",
      "norm_nonneg",
      "norm_pos_iff",
      "norm_smul",
      "norm_star",
      "norm_zero",
      "not_le._simp_1",
      "not_le_of_gt",
      "not_or._simp_2",
      "of_eq_true",
      "propext",
      "rfl",
      "setOf",
      "sub_eq_zero_of_eq",
      "zero_smul"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.compactC0SumEquivOfDense": [
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommMagma.toAdd",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddHom.mk",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass.sub",
      "AddSubgroupClass.toAddGroup._proof_6",
      "AddSubmonoid.mk",
      "AddSubmonoidClass",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "Algebra.algebraMap",
      "Algebra.id",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "BddAbove",
      "Bool",
      "Bool.false",
      "Bot.bot",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarRing.norm_star_mul_self",
      "CStarRing.to_normedStarGroup",
      "Classical.byContradiction",
      "Classical.not_imp._simp_2",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toRing",
      "CommSemiring.toCommMonoid",
      "CommSemiring.toSemiring",
      "Commute",
      "Compl.compl",
      "CompleteSpace",
      "Complex",
      "Complex.commRing",
      "Complex.instCommSemiring",
      "Complex.instDecidableEq",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instZero",
      "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
      "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice",
      "ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup",
      "ConditionallyCompletePartialOrderSup.toPartialOrder",
      "Continuous.comp",
      "Continuous.mul",
      "ContinuousAdd",
      "ContinuousConstSMul",
      "ContinuousLinearMap",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sum_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSpanSingleton",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar.continuous_star",
      "DFunLike.coe",
      "Decidable",
      "Decidable.byContradiction",
      "Dense",
      "Dense.closure_eq",
      "DenseRange",
      "DenseRange.induction_on",
      "DenseRange.induction_on₂",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toSemiring",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.top_ne_zero._simp_1",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "Equiv",
      "Equiv.instEquivLike",
      "Equiv.mk",
      "Equiv.ofBijective",
      "Equiv.piCongrLeft'",
      "Equiv.piCongrLeft_apply_apply",
      "Equiv.refl",
      "Equiv.surjective",
      "Equiv.symm",
      "Equiv.symm_apply_apply",
      "EquivLike.toFunLike",
      "Exists",
      "Exists.casesOn",
      "Exists.intro",
      "False",
      "False.elim",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Fin",
      "Fin.fintype",
      "FiniteDimensional",
      "FiniteDimensional.complete",
      "FiniteDimensional.proper_real",
      "FiniteDimensional.rclike_to_real",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.decidableMem",
      "Finset.decidableMem'",
      "Finset.finite_toSet",
      "Finset.induction",
      "Finset.instEmptyCollection",
      "Finset.instHasSubset",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.instSingleton",
      "Finset.instUnion",
      "Finset.le_sup",
      "Finset.mem_singleton._simp_1",
      "Finset.mem_union_left",
      "Finset.mem_union_right",
      "Finset.mul_sum",
      "Finset.smul_sum",
      "Finset.subset_union_left",
      "Finset.subset_union_right",
      "Finset.sum",
      "Finset.sum_add_distrib",
      "Finset.sum_congr",
      "Finset.sum_const_zero",
      "Finset.sum_eq_single",
      "Finset.sum_eq_zero",
      "Finset.sum_insert",
      "Finset.sum_mul",
      "Finset.sum_singleton",
      "Finset.sum_subset",
      "Finset.sup",
      "Finset.sup_empty",
      "Finset.sup_insert",
      "Finset.sup_le",
      "Finset.univ",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "Function.Injective",
      "Function.Surjective",
      "Function.comp",
      "Function.hasSMul",
      "GT.gt",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasSubset.Subset",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Inner.inner",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rankOne_def'",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsClosed",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.totallyBounded",
      "IsCompactOperator",
      "IsCompactOperator.add",
      "IsCompactOperator.clm_comp",
      "IsCompactOperator.comp_clm",
      "IsCompactOperator.image_closedBall_subset_compact",
      "IsCompactOperator.smul",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsOpen",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.star_mul_self",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.norm_add_eq_max",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "Isometry",
      "Isometry.dist_eq",
      "Isometry.injective",
      "Isometry.isClosedEmbedding",
      "LE.le",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "Lattice.toSemilatticeInf",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearMap",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.instFunLike",
      "LinearMap.mk",
      "LinearMap.range",
      "LinearMap.semilinearMapClass",
      "LinearOrder.toPartialOrder",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Push.not_forall_eq",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Max.max",
      "Membership.mem",
      "Memℓp",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_iff",
      "Metric.mem_ball",
      "Metric.mem_closedBall",
      "Metric.mem_closure_iff",
      "Metric.totallyBounded_iff",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Module.finrank",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidWithZero.toMulZeroOneClass",
      "Mul",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNNorm.nnnorm",
      "NNReal",
      "NNReal.coe_le_coe",
      "NNReal.coe_max",
      "NNReal.coe_nonneg",
      "NNReal.eq",
      "NNReal.instCanonicallyOrderedAdd",
      "NNReal.instLinearOrder",
      "NNReal.instOrderBot",
      "NNReal.instPartialOrder",
      "NNReal.instSemilatticeSup",
      "NNReal.instSemiring",
      "NNReal.instZero",
      "NNReal.toReal",
      "NNReal.zero_le_coe._simp_1",
      "Nat",
      "Nat.cast_one",
      "Nat.cast_zero",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCommSemiring",
      "Nat.instNeZeroSucc",
      "Nat.mul",
      "Nat.rawCast",
      "Ne",
      "Ne.symm",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.isometry",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHomClass.instNonUnitalStarRingHomClassOfStarHomClass",
      "NonUnitalStarRingHomClass.toStarHomClass",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.instIsTopologicalSemiring",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.mk",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebra.toNonUnitalRing._proof_1",
      "NonUnitalSubalgebra.mk",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiring.mk",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.toAddSubmonoidClass",
      "NontriviallyNormedField.toNormedField",
      "Norm.norm",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAlgebra.toAlgebra",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField.toField",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedRing.toRing",
      "NormedSpace",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "One.toOfNat1",
      "Or",
      "Or.casesOn",
      "OrderBot.toBot",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.sum_repr'",
      "PartialOrder.toPreorder",
      "Pi.instAdd",
      "Pi.instZero",
      "Pi.single",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulReflectLE",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.fst",
      "Prod.snd",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.toCompleteSpace",
      "RCLike.toDenselyNormedField",
      "RCLike.toInnerProductSpaceReal",
      "RCLike.toNormedAlgebra",
      "RCLike.toStarRing",
      "Real",
      "Real.commRing",
      "Real.decidableLE",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instCommSemiring",
      "Real.instConditionallyCompleteLinearOrder",
      "Real.instDivInvMonoid",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInfSet",
      "Real.instInv",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMonoid",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.mul_self_sqrt",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sqrt",
      "Real.sqrt_pos",
      "Ring",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toNonAssocRing",
      "Ring.toSemiring",
      "RingEquiv.injective",
      "RingEquiv.mk",
      "RingEquivClass.toNonUnitalRingHomClass",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHomCompTriple.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomIsometric.ids",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNNNorm",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNonAssocSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "Set",
      "Set.Finite",
      "Set.Finite.image",
      "Set.Finite.mem_toFinset",
      "Set.Finite.subset",
      "Set.Finite.toFinset",
      "Set.Finite.toFinset.congr_simp",
      "Set.Finite.union",
      "Set.Infinite",
      "Set.Subset.antisymm",
      "Set.ext",
      "Set.finite_empty._simp_1",
      "Set.finite_singleton",
      "Set.fintypeEmpty",
      "Set.iUnion",
      "Set.image",
      "Set.instCompl",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instMembership",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.mem_iUnion₂",
      "Set.mem_singleton_iff",
      "Set.mem_union",
      "Set.mem_univ",
      "Set.not_finite._simp_1",
      "Set.range",
      "Set.toFinite_toFinset",
      "Set.toFinset",
      "Set.toFinset_empty",
      "Set.univ",
      "SetLike.coe",
      "SetLike.instMembership",
      "Singleton.singleton",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv",
      "StarAlgEquiv.apply_symm_apply",
      "StarAlgEquiv.instEquivLike",
      "StarAlgEquiv.instFunLike",
      "StarAlgEquiv.instNonUnitalAlgEquivClass",
      "StarAlgEquiv.instStarRingEquivClass",
      "StarAlgEquiv.mk",
      "StarAlgEquiv.symm",
      "StarAlgEquiv.symm_apply_apply",
      "StarAlgEquiv.toNonUnitalStarAlgHom",
      "StarAlgEquiv.toNonUnitalStarAlgHom_apply",
      "StarAlgEquiv.toStarRingEquiv",
      "StarAlgEquiv.trans",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.instStarAddMonoid",
      "StarMemClass.instStarRing",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing.toExistsAddOfLE",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingEquiv.mk",
      "StarRingEquiv.toRingEquiv",
      "StarRingEquivClass.instNonUnitalStarRingHomClass",
      "StarRingEquivClass.toRingEquivClass",
      "Std.le_refl._simp_1",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "Submodule",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.addSubmonoidClass",
      "Submodule.finiteDimensional_of_le",
      "Submodule.innerProductSpace",
      "Submodule.instPartialOrder",
      "Submodule.module",
      "Submodule.normedAddCommGroup",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smulMemClass",
      "Submodule.span",
      "Submodule.starProjection",
      "Submodule.starProjection_minimal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.ext",
      "Subtype.instDecidableEq",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.val",
      "Top.top",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "TotallyBounded",
      "Trans.trans",
      "True",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Zero.toOfNat0",
      "ZeroMemClass.zero",
      "abs",
      "abs_of_pos",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_mul",
      "add_zero",
      "bot_eq_zero'",
      "ciInf_le",
      "closure",
      "closure_minimal",
      "compactOperator",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "continuous_fst",
      "continuous_mul",
      "continuous_norm",
      "continuous_snd",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "covariant_swap_add_of_covariant_add",
      "dist_eq_norm",
      "dist_zero_right",
      "dite",
      "div_eq_mul_inv",
      "div_le_iff₀",
      "div_pos",
      "eq_false",
      "eq_self",
      "eq_true",
      "forall_congr",
      "funext",
      "half_lt_self",
      "half_pos",
      "iInf",
      "id",
      "if_neg",
      "if_pos",
      "implies_congr",
      "inferInstance",
      "innerSL",
      "instAddCommGroupPreLp",
      "instAddNat",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instCommCStarAlgebraComplex",
      "instDecidableOr",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instEMetricSpaceSubtype",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instNonUnitalAlgHomClassOfNonUnitalAlgEquivClass",
      "instNonUnitalCStarAlgebraSubtypePreLpMemAddSubgroupLpTopENNReal",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instPseudoEMetricSpaceSubtype",
      "instReflLe",
      "instStarRingReal",
      "instT2SpaceSubtype",
      "instTopologicalSpaceProd",
      "instTopologicalSpaceSubtype",
      "instTransEq",
      "instTransLE",
      "instTransLELT",
      "instUniformSpaceSubtype",
      "inv_mul_cancel₀",
      "isClosed_eq",
      "isClosed_setOf_isCompactOperator",
      "isCompactOperator_of_locallyCompactSpace_dom",
      "isCompactOperator_zero",
      "isOpen_compl_iff",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "le_antisymm",
      "le_max_left",
      "le_of_lt",
      "le_of_not_gt",
      "le_refl",
      "le_total",
      "locallyCompact_of_proper",
      "lowerBounds",
      "lp",
      "lp.ext",
      "lp.inftyStarRing",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instMulSubtypePreLpMemAddSubgroupTopENNReal",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instStarAddMonoid",
      "lp.instStarSubtypePreLpMemAddSubgroup",
      "lp.nonUnitalNormedRing",
      "lp.nonUnitalRing",
      "lp.norm_apply_le_norm",
      "lp.norm_le_of_forall_le",
      "lp.single",
      "lp.single_add",
      "lp.single_smul",
      "lp.single_zero",
      "lt_of_not_ge",
      "map_add",
      "map_mul",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "memℓp_infty",
      "memℓp_infty_iff",
      "mul_add",
      "mul_assoc",
      "mul_comm",
      "mul_le_mul_of_nonneg_left",
      "mul_lt_mul_of_pos_right",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_pos_of_neg_of_neg",
      "neg_eq_zero",
      "nnnorm_zero",
      "norm_add_le",
      "norm_algebraMap'",
      "norm_inv",
      "norm_mul_le",
      "norm_nonneg",
      "norm_norm",
      "norm_pos_iff",
      "norm_smul",
      "norm_star",
      "norm_sub_norm_le",
      "norm_sub_rev",
      "norm_zero",
      "not_false_eq_true",
      "not_le._simp_1",
      "not_le_of_gt",
      "not_lt_of_ge",
      "not_or._simp_2",
      "not_true_eq_false",
      "of_eq_true",
      "one_mul",
      "outParam",
      "pow_two",
      "propext",
      "rfl",
      "setOf",
      "smulCommClass_self",
      "smul_zero",
      "starRingEnd",
      "star_sum",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_apply",
      "sub_eq_zero_of_eq",
      "sub_self",
      "sub_zero",
      "sum_mem",
      "upperBounds",
      "zero_add",
      "zero_smul"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.MinimalClosedStarIdeal.CompactModelSpace": [
      "Add.mk",
      "AddCancelMonoid.toAddRightCancelMonoid",
      "AddCommGroup.intIsScalarTower",
      "AddCommGroup.mk",
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommGroup.toIntModule",
      "AddCommGroupWithOne.toAddGroupWithOne",
      "AddCommMagma.toAdd",
      "AddCommMonoid",
      "AddCommMonoid.nat_isScalarTower",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoid.toNatModule",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.addLeftReflectLE_of_addLeftMono",
      "AddGroup.existsAddOfLE",
      "AddGroup.mk",
      "AddGroup.toAddCancelMonoid",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddGroupWithOne.toIntCast",
      "AddHom.mk",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.mk",
      "AddMonoid.nsmul_succ._autoParam",
      "AddMonoid.nsmul_zero._autoParam",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toNSMul",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.isometry_of_norm",
      "AddMonoidHomClass.toAddHomClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddRightCancelMonoid.toAddRightCancelSemigroup",
      "AddRightCancelSemigroup.toIsRightCancelAdd",
      "AddSemigroup.mk",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.neg",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass.sub",
      "AddSubgroupClass.toAddSubmonoidClass",
      "AddSubmonoid.mk",
      "AddSubmonoidClass.toAddMonoid._proof_6",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "AlgHom",
      "AlgHom.commutes",
      "AlgHom.funLike",
      "AlgHom.instNonUnitalAlgHomClassOfAlgHomClass",
      "AlgHom.mk",
      "AlgHom.toLinearMap",
      "AlgHomClass.toRingHomClass",
      "Algebra",
      "Algebra.algebraMap",
      "Algebra.cast",
      "Algebra.complexToReal",
      "Algebra.id",
      "Algebra.smul_def",
      "Algebra.smul_mul_assoc",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.false",
      "Bool.true",
      "Bornology.cobounded",
      "Bornology.mk",
      "Bot.bot",
      "CFC.eq_algebraMap_of_spectrum_subset_singleton",
      "CFC.spectrum_zero_eq",
      "CStarAlgebra",
      "CStarAlgebra.instNonnegSpectrumClass'",
      "CStarAlgebra.spectralOrder",
      "CStarAlgebra.spectralOrderedRing",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toCompleteSpace",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.mul_star_self_eq_zero_iff",
      "CStarRing.norm_coe_unitary_mul",
      "CStarRing.norm_mul_coe_unitary",
      "CStarRing.norm_star_mul_self",
      "CStarRing.star_mul_self_eq_zero_iff",
      "CStarRing.to_normedStarGroup",
      "Classical.byContradiction",
      "Classical.choice",
      "Classical.choose",
      "Classical.choose_spec",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toNonAssocCommRing",
      "CommRing.toNonUnitalCommRing",
      "CommRing.toRing",
      "CommSemiring",
      "CommSemiring.toCommMonoid",
      "CommSemiring.toSemiring",
      "Commute",
      "Commute.add_left",
      "Commute.eq",
      "Commute.smul_left",
      "Commute.star_star",
      "Commute.sub_left",
      "Compl.compl",
      "CompleteLattice.toConditionallyCompleteLattice",
      "CompleteSpace",
      "CompletelyNormalSpace.toNormalSpace",
      "Complex",
      "Complex.I",
      "Complex.I_sq",
      "Complex.abs_im_le_norm",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_conj",
      "Complex.conj_ofReal",
      "Complex.continuous_ofReal",
      "Complex.continuous_re",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instCharZero",
      "Complex.instCommSemiring",
      "Complex.instCompleteSpace",
      "Complex.instContinuousStar",
      "Complex.instDecidableEq",
      "Complex.instDenselyNormedField",
      "Complex.instDivInvMonoid",
      "Complex.instField",
      "Complex.instInv",
      "Complex.instMul",
      "Complex.instNatCast",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instZero",
      "Complex.inv_im",
      "Complex.inv_re",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_conj",
      "Complex.normSq_ofNat",
      "Complex.norm_I",
      "Complex.norm_div",
      "Complex.norm_ofNat",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_add",
      "Complex.ofReal_add._simp_1",
      "Complex.ofReal_div",
      "Complex.ofReal_eq_zero._simp_1",
      "Complex.ofReal_inj._simp_1",
      "Complex.ofReal_mul",
      "Complex.ofReal_ne_zero",
      "Complex.ofReal_neg",
      "Complex.ofReal_pow",
      "Complex.ofReal_pow._simp_1",
      "Complex.ofReal_sub",
      "Complex.re",
      "Complex.re_sum",
      "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
      "ConditionallyCompleteLattice.toLattice",
      "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice",
      "ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup",
      "ConditionallyCompletePartialOrderSup.toPartialOrder",
      "Continuous",
      "Continuous.abs",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.comp'",
      "Continuous.continuousAt",
      "Continuous.continuousOn",
      "Continuous.div",
      "Continuous.div_const",
      "Continuous.div₀",
      "Continuous.inf",
      "Continuous.max",
      "Continuous.min",
      "Continuous.mul",
      "Continuous.norm",
      "Continuous.pow",
      "Continuous.sub",
      "Continuous.sup",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousAt.tendsto",
      "ContinuousConstSMul",
      "ContinuousFunctionalCalculus",
      "ContinuousFunctionalCalculus.spectrum_nonempty",
      "ContinuousFunctionalCalculus.toNonUnital",
      "ContinuousLinearEquiv.toContinuousLinearMap",
      "ContinuousLinearMap",
      "ContinuousLinearMap.add",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.add_apply",
      "ContinuousLinearMap.add_comp",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_adjoint",
      "ContinuousLinearMap.adjoint_comp",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.algebraMap_apply",
      "ContinuousLinearMap.apply",
      "ContinuousLinearMap.apply_norm_sq_eq_inner_adjoint_left",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.comp.congr_simp",
      "ContinuousLinearMap.comp_add",
      "ContinuousLinearMap.comp_assoc",
      "ContinuousLinearMap.comp_smulₛₗ",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.eq_zero_of_forall_hasEigenvalue_eq_zero",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.finite_dimensional_eigenspace",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.instAddMonoid",
      "ContinuousLinearMap.instCStarRingId",
      "ContinuousLinearMap.instCompleteSpace",
      "ContinuousLinearMap.instInvolutiveStarId",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsMulApplyEqCompId",
      "ContinuousLinearMap.instIsNegApply",
      "ContinuousLinearMap.instIsOneApply",
      "ContinuousLinearMap.instIsSMulApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instLoewnerPartialOrder",
      "ContinuousLinearMap.instMul",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.instStarModuleId",
      "ContinuousLinearMap.instStarMulId",
      "ContinuousLinearMap.instStarOrderedRing",
      "ContinuousLinearMap.instStarRingId",
      "ContinuousLinearMap.instT2Space",
      "ContinuousLinearMap.isClosed_ker",
      "ContinuousLinearMap.isScalarTower",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.mulAction",
      "ContinuousLinearMap.mul_apply",
      "ContinuousLinearMap.neg",
      "ContinuousLinearMap.neg_apply",
      "ContinuousLinearMap.normOneClass",
      "ContinuousLinearMap.one",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.ratio_le_opNorm",
      "ContinuousLinearMap.restrict",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.seminorm._proof_1",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.smul_apply",
      "ContinuousLinearMap.star_eq_adjoint",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sub_apply",
      "ContinuousLinearMap.sum_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toNormedAddCommGroup",
      "ContinuousLinearMap.toNormedAlgebra",
      "ContinuousLinearMap.toNormedRing",
      "ContinuousLinearMap.toNormedSpace",
      "ContinuousLinearMap.toNormedSpace._proof_1",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSeminormedRing",
      "ContinuousLinearMap.toSpanSingleton",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousLinearMap.uniqueOfRight",
      "ContinuousLinearMap.zero",
      "ContinuousLinearMap.zero_apply",
      "ContinuousMapClass.map_continuous",
      "ContinuousMultilinearMap",
      "ContinuousMultilinearMap.funLike",
      "ContinuousOn",
      "ContinuousOn.add",
      "ContinuousOn.inv₀",
      "ContinuousOn.mul",
      "ContinuousOn.sub",
      "ContinuousOn.sup",
      "ContinuousSemilinearMapClass.toContinuousMapClass",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar",
      "ContinuousStar.continuous_star",
      "DFunLike",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DecidableEq",
      "DenseRange",
      "DenseRange.induction_on",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Dist.dist",
      "Dist.mk",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.mk",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRatAlgebra",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toNNRatAlgebra",
      "DivisionSemiring.toSemiring",
      "EMetric.instIsCountablyGeneratedUniformity",
      "EMetric.instNontrivialTopologyOfNontrivial",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instAddCommMonoidWithOne",
      "ENNReal.instCharZero",
      "ENNReal.instCommSemiring",
      "ENNReal.instIsOrderedRing",
      "ENNReal.instPartialOrder",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.ofNat_ne_top._simp_1",
      "ENNReal.ofReal",
      "ENat",
      "Eq",
      "Eq.casesOn",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "Equiv",
      "Equiv.instEquivLike",
      "EquivLike.toFunLike",
      "Even.pow_nonneg",
      "Exists",
      "Exists.casesOn",
      "Exists.choose",
      "Exists.choose_spec",
      "Exists.intro",
      "False",
      "False.elim",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.add_const",
      "Filter.Tendsto.comp",
      "Filter.Tendsto.inner",
      "Filter.Tendsto.mul",
      "Filter.Tendsto.sub",
      "Filter.atTop",
      "Filter.atTop_neBot",
      "Filter.cofinite",
      "Filter.comap",
      "Filter.instInfSet",
      "Filter.instMembership",
      "Filter.instPartialOrder",
      "Filter.lift'",
      "Filter.principal",
      "Filter.sets",
      "Fin",
      "Fin.fintype",
      "Finite",
      "Finite.Set.finite_insert",
      "Finite.instSigma",
      "Finite.instSum",
      "Finite.of_fintype",
      "FiniteDimensional",
      "FiniteDimensional.RCLike.properSpace_submodule",
      "FiniteDimensional.complete",
      "FiniteDimensional.finiteDimensional_self",
      "FiniteDimensional.instSubtypeMemSubmoduleMap",
      "FiniteDimensional.proper_real",
      "FiniteDimensional.rclike_to_real",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.card",
      "Finset.decidableMem",
      "Finset.instSetLike",
      "Finset.mem_univ",
      "Finset.mem_univ._simp_1",
      "Finset.mul_sum",
      "Finset.range",
      "Finset.single_le_sum",
      "Finset.sum",
      "Finset.sum_apply",
      "Finset.sum_congr",
      "Finset.sum_const",
      "Finset.sum_le_sum",
      "Finset.sum_lt_sum_of_nonempty",
      "Finset.sum_nonneg",
      "Finset.sum_pi_single",
      "Finset.sum_range_succ",
      "Finset.univ",
      "Finset.univ_nonempty",
      "Fintype",
      "Fintype.card",
      "Fintype.card_fin",
      "Fintype.card_pos",
      "FirstCountableTopology.frechetUrysohnSpace",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "FrechetUrysohnSpace.to_sequentialSpace",
      "FunLike.coe_mul_eq_comp",
      "Function.Injective",
      "Function.Surjective",
      "Function.comp",
      "Function.hasSMul",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNoZeroSMulDivisors",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HEq",
      "HEq.refl",
      "HMul",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "HasQuotient.Quotient",
      "HasSolidNorm.orderClosedTopology",
      "HasSolidNorm.toTopologicalLattice",
      "HasSubset.Subset",
      "HasSum",
      "HasSum.map",
      "HasSum.mapL",
      "HasSum.tendsto_sum_nat",
      "HasSum.unique",
      "Ideal.instIsTorsionFreeSubtypeMemSubmodule",
      "Iff",
      "Iff.intro",
      "Iff.mp",
      "Iff.mpr",
      "Iff.rfl",
      "Iff.symm",
      "Inner.inner",
      "Inner.rclikeToReal",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.comp_rankOne",
      "InnerProductSpace.isSymmetric_rankOne_self._simp_1",
      "InnerProductSpace.norm_rankOne",
      "InnerProductSpace.norm_sq_eq_re_inner",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rankOne_def'",
      "InnerProductSpace.rclikeToReal",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Insert.insert",
      "Int",
      "Int.add_one_le_of_lt",
      "Int.cast",
      "Int.cast_one",
      "Int.instAdd",
      "Int.instCommSemiring",
      "Int.instDecidableEq",
      "Int.instLEInt",
      "Int.instNegInt",
      "Int.instRing",
      "Int.instSemiring",
      "Int.instSub",
      "Int.mul",
      "Int.negOfNat",
      "Int.negSucc",
      "Int.ofNat",
      "Int.rawCast",
      "Int.sub_nonneg_of_le",
      "Inter.inter",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsClosed",
      "IsClosed.closure_eq",
      "IsClosed.inter",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.totallyBounded",
      "IsCompactOperator",
      "IsCompactOperator.add",
      "IsCompactOperator.clm_comp",
      "IsCompactOperator.comp_clm",
      "IsCompactOperator.hasEigenvalue_iff_mem_spectrum",
      "IsCompactOperator.hasEigenvalue_or_mem_resolventSet",
      "IsCompactOperator.image_closedBall_subset_compact",
      "IsCompactOperator.neg",
      "IsCompactOperator.restrict'",
      "IsCompactOperator.smul",
      "IsDomain.toIsCancelMulZero",
      "IsDomain.toNontrivial",
      "IsEmpty",
      "IsIdempotentElem",
      "IsIdempotentElem.eq",
      "IsIdempotentElem.eq_1",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsLeftCancelAdd.addLeftStrictMono_of_addLeftMono",
      "IsOpen",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.nnrat",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.add",
      "IsSelfAdjoint.cfc",
      "IsSelfAdjoint.cfcₙ",
      "IsSelfAdjoint.commute_cfc",
      "IsSelfAdjoint.conj_starProjection",
      "IsSelfAdjoint.eq_1",
      "IsSelfAdjoint.im_eq_zero_of_mem_spectrum",
      "IsSelfAdjoint.instContinuousFunctionalCalculus",
      "IsSelfAdjoint.instIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalContinuousFunctionalCalculus",
      "IsSelfAdjoint.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.isSymmetric",
      "IsSelfAdjoint.map",
      "IsSelfAdjoint.of_nonneg",
      "IsSelfAdjoint.star_eq",
      "IsSelfAdjoint.star_mul_self",
      "IsSelfAdjoint.sub",
      "IsSelfAdjoint.zero",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStarNormal",
      "IsStarNormal.instIsometricContinuousFunctionalCalculus",
      "IsStarNormal.instNonUnitalIsometricContinuousFunctionalCalculus",
      "IsStarNormal.map",
      "IsStarProjection",
      "IsStarProjection.isIdempotentElem",
      "IsStarProjection.isSelfAdjoint",
      "IsStarProjection.le_iff_mul_eq_right",
      "IsStarProjection.map",
      "IsStarProjection.mk",
      "IsStarProjection.norm_le",
      "IsStrictOrderedRing.toIsOrderedRing",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsStrictOrderedRing.toZeroLEOneClass",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalAddGroup.toContinuousNeg",
      "IsTopologicalAddGroup.to_continuousSub",
      "IsTopologicalDivisionRing.toContinuousInv₀",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "IsUnit",
      "IsometricContinuousFunctionalCalculus.toContinuousFunctionalCalculus",
      "Isometry",
      "Isometry.isClosedEmbedding",
      "LE.le",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LT.lt.trans",
      "LT.lt.trans_eq",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "Lattice.toSemilatticeSup",
      "Lean.Omega.Coeffs.ofList",
      "Lean.Omega.Constraint.addInequality_sat",
      "Lean.Omega.Constraint.combine_sat'",
      "Lean.Omega.Constraint.isImpossible",
      "Lean.Omega.Constraint.mk",
      "Lean.Omega.Constraint.not_sat'_of_isImpossible",
      "Lean.Omega.Int.add_congr",
      "Lean.Omega.Int.ofNat_le_of_le",
      "Lean.Omega.Int.ofNat_lt_of_lt",
      "Lean.Omega.Int.sub_congr",
      "Lean.Omega.LinearCombo",
      "Lean.Omega.LinearCombo.add_eval",
      "Lean.Omega.LinearCombo.coordinate",
      "Lean.Omega.LinearCombo.coordinate_eval_3",
      "Lean.Omega.LinearCombo.coordinate_eval_4",
      "Lean.Omega.LinearCombo.eval",
      "Lean.Omega.LinearCombo.instAdd",
      "Lean.Omega.LinearCombo.instSub",
      "Lean.Omega.LinearCombo.mk",
      "Lean.Omega.LinearCombo.sub_eval",
      "Lean.Omega.tidy_sat",
      "Left.neg_nonpos_iff._simp_1",
      "LinearIsometry",
      "LinearIsometry.instFunLike",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearIsometryEquiv.ofSurjective",
      "LinearIsometryEquiv.toContinuousLinearEquiv",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.IsSymmetric",
      "LinearMap.IsSymmetric.clm_adjoint_eq",
      "LinearMap.IsSymmetric.invariant_orthogonalComplement_eigenspace",
      "LinearMap.IsSymmetric.orthogonalFamily_eigenspaces",
      "LinearMap.finiteDimensional_range",
      "LinearMap.instFunLike",
      "LinearMap.ker",
      "LinearMap.mem_ker._simp_1",
      "LinearMap.mem_range_self",
      "LinearMap.mk",
      "LinearMap.mkContinuous",
      "LinearMap.range",
      "LinearMap.range_zero",
      "LinearMap.restrict",
      "LinearMap.semilinearMapClass",
      "LinearMap.toLinearIsometry",
      "LinearMapClass.map_smul_of_tower",
      "LinearOrder.toMax",
      "LinearOrder.toMin",
      "LinearOrder.toPartialOrder",
      "LinearOrderedSemiField.toDenselyOrdered",
      "List.cons",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.raw_refl",
      "Mathlib.Meta.NormNum.IsNat.to_eq",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNatPowT.bit0",
      "Mathlib.Meta.NormNum.IsNatPowT.run",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_add",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_eq_false",
      "Mathlib.Meta.NormNum.isNNRat_eq_true",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isNat_pow",
      "Mathlib.Meta.NormNum.isRat_le_true",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.NormNum.isRat_neg",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.Abel.const_add_termg",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.subst_into_negg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_add_termg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.term_neg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.Abel.unfold_sub",
      "Mathlib.Tactic.Abel.zero_termg",
      "Mathlib.Tactic.CancelDenoms.add_subst",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.mul_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.cons_ne_zero",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_mul_eval_cons_neg",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.inv_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.pow_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.le_eq_cancel_le",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.subst_sub",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_ofNat",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.eq_of_eq_of_eq",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.LinearCombination.eq_of_eq",
      "Mathlib.Tactic.LinearCombination.eq_rearrange",
      "Mathlib.Tactic.LinearCombination.mul_const_eq",
      "Mathlib.Tactic.Module.NF.add_eq_eval",
      "Mathlib.Tactic.Module.NF.add_eq_eval₁",
      "Mathlib.Tactic.Module.NF.add_eq_eval₂",
      "Mathlib.Tactic.Module.NF.add_eq_eval₃",
      "Mathlib.Tactic.Module.NF.atom_eq_eval",
      "Mathlib.Tactic.Module.NF.cons",
      "Mathlib.Tactic.Module.NF.eq_cons_cons",
      "Mathlib.Tactic.Module.NF.eq_cons_const",
      "Mathlib.Tactic.Module.NF.eq_of_eval_eq_eval",
      "Mathlib.Tactic.Module.NF.eval",
      "Mathlib.Tactic.Module.NF.eval_algebraMap",
      "Mathlib.Tactic.Module.NF.neg_eq_eval",
      "Mathlib.Tactic.Module.NF.smul_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₁",
      "Mathlib.Tactic.Module.NF.sub_eq_eval₂",
      "Mathlib.Tactic.Module.NF.zero_eq_eval",
      "Mathlib.Tactic.Module.NF.zero_sub_eq_eval",
      "Mathlib.Tactic.Push.not_and_eq",
      "Mathlib.Tactic.Push.not_exists._simp_1",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_prod_atom",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.add_assoc_rev",
      "Mathlib.Tactic.RingNF.add_neg",
      "Mathlib.Tactic.RingNF.int_rawCast_neg",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.mul_neg",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Max.max",
      "Membership.mem",
      "Memℓp",
      "Memℓp.all",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.denseRange_iff",
      "Metric.isOpen_iff",
      "Metric.mem_ball",
      "Metric.mem_ball._simp_1",
      "Metric.mem_closedBall",
      "Metric.mem_closure_iff",
      "Metric.totallyBounded_iff",
      "MetricSpace",
      "MetricSpace.mk",
      "MetricSpace.toEMetricSpace",
      "MetricSpace.toPseudoMetricSpace",
      "Min.min",
      "Module.End",
      "Module.End.HasEigenvalue",
      "Module.End.HasEigenvalue.exists_hasEigenvector",
      "Module.End.HasEigenvector",
      "Module.End.eigenspace",
      "Module.End.genEigenspace",
      "Module.End.hasEigenvalue_of_hasEigenvector",
      "Module.End.mem_eigenspace_iff",
      "Module.complexToReal",
      "Module.finrank",
      "Module.mk",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidHom.mk",
      "MonoidHomClass.toOneHomClass",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "MonoidWithZeroHomClass.toMonoidHomClass",
      "MonoidWithZeroHomClass.toZeroHomClass",
      "Mul",
      "MulAction.mk",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulMemClass.toSemigroup",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat",
      "NNRat.instContinuousSMulOfIsScalarTowerOfRat",
      "NNRat.instContinuousSMulRatReal",
      "NNRat.instSemifield",
      "NNRat.rawCast",
      "Nat",
      "Nat.AtLeastTwo",
      "Nat.ble",
      "Nat.cast",
      "Nat.cast_add",
      "Nat.cast_lt._simp_1",
      "Nat.cast_nonneg",
      "Nat.cast_nonneg'",
      "Nat.cast_one",
      "Nat.cast_pos'",
      "Nat.cast_zero",
      "Nat.factorial",
      "Nat.find",
      "Nat.find_min'",
      "Nat.find_spec",
      "Nat.instAddCommMonoid",
      "Nat.instAddCommSemigroup",
      "Nat.instAddMonoid",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCanonicallyOrderedAdd",
      "Nat.instCharZero",
      "Nat.instCommSemiring",
      "Nat.instIsOrderedAddMonoid",
      "Nat.instIsStrictOrderedRing",
      "Nat.instMonoid",
      "Nat.instMulZeroClass",
      "Nat.instNeZeroSucc",
      "Nat.instNontrivial",
      "Nat.instPartialOrder",
      "Nat.instPreorder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.mul",
      "Nat.rawCast",
      "Nat.rec",
      "Nat.recAux",
      "Nat.succ",
      "Ne",
      "Ne.symm",
      "NeZero.charZero_one",
      "NeZero.one",
      "Neg.mk",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NonAssocCommRing.toNonAssocRing",
      "NonAssocRing.toAddCommGroupWithOne",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toMulZeroOneClass",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHom",
      "NonUnitalAlgHom.instFunLike_1",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHom.toAlgHom",
      "NonUnitalAlgHom.toAlgHom_apply",
      "NonUnitalAlgHomClass",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarModule",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalContinuousFunctionalCalculus",
      "NonUnitalIsometricContinuousFunctionalCalculus.norm_quasispectrum_le",
      "NonUnitalIsometricContinuousFunctionalCalculus.toNonUnitalContinuousFunctionalCalculus",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocRing",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toNorm",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.ext",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.map_cfcₙ",
      "NonUnitalStarAlgHom.mem_range",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarAlgHom.norm_apply_le",
      "NonUnitalStarAlgHom.range",
      "NonUnitalStarAlgHom.rangeRestrict",
      "NonUnitalStarAlgHom.toNonUnitalAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom",
      "NonUnitalStarAlgHomClass.toNonUnitalStarAlgHom.congr_simp",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instPartialOrder",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.mk",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring",
      "NonUnitalStarSubalgebra.toNonUnitalSemiring._proof_1",
      "NonUnitalStarSubalgebra.toNonUnitalSubalgebra",
      "NonUnitalStarSubalgebraClass.subtype",
      "NonUnitalSubalgebra.mk",
      "NonUnitalSubalgebra.toNonUnitalSubsemiring",
      "NonUnitalSubalgebra.toSubmodule",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiring.mk",
      "NonUnitalSubsemiring.toSubsemigroup",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.mulMemClass",
      "NonUnitalSubsemiringClass.toAddSubmonoidClass",
      "NonUnitalSubsemiringClass.toNonUnitalNonAssocSemiring",
      "Nonempty",
      "Nonempty.intro",
      "NonnegSpectrumClass.quasispectrum_nonneg_of_nonneg",
      "Nontrivial",
      "Nontrivial.mk",
      "NontriviallyNormedField.toNormedField",
      "Norm",
      "Norm.mk",
      "Norm.norm",
      "NormMulClass.toNoZeroDivisors",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.dist_eq._autoParam",
      "NormedAddCommGroup.mk",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.restrictScalars",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.toNormedRing",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField",
      "NormedField.toField",
      "NormedField.toMetricSpace",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedField.toNormedSpace",
      "NormedRing.toMetricSpace",
      "NormedRing.toNonUnitalNormedRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace",
      "NormedSpace.complexToReal",
      "NormedSpace.exp",
      "NormedSpace.expSeries",
      "NormedSpace.expSeries_apply_eq",
      "NormedSpace.expSeries_hasSum_exp",
      "NormedSpace.map_exp",
      "NormedSpace.mk",
      "NormedSpace.restrictScalars",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "OfNat.ofNat_ne_zero._simp_1",
      "One.toOfNat1",
      "OneHom.mk",
      "Option.none",
      "Option.some",
      "Or",
      "Or.casesOn",
      "Or.inl",
      "Or.inr",
      "Or.resolve_left",
      "Or.resolve_right",
      "OrderHom",
      "OrderHom.instFunLike",
      "OrderTop.toTop",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.norm_eq_one",
      "OrthonormalBasis.starProjection_eq_sum_rankOne",
      "OrthonormalBasis.sum_repr'",
      "PUnit.fintype",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.addCommMonoid",
      "Pi.instAdd",
      "Pi.instMul",
      "Pi.instNeg",
      "Pi.instZero",
      "Pi.isScalarTower",
      "Pi.single",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulMono",
      "PosMulStrictMono.toPosMulReflectLE",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.fst",
      "Prod.mk",
      "Prod.snd",
      "Prod.swap",
      "PseudoEMetricSpace.pseudoMetrizableSpace",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.cobounded_sets._autoParam",
      "PseudoMetricSpace.edist_dist._autoParam",
      "PseudoMetricSpace.mk",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "PseudoMetricSpace.uniformity_dist._autoParam",
      "Quotient",
      "Quotient.inductionOn",
      "Quotient.map'",
      "Quotient.mk",
      "Quotient.mk'",
      "Quotient.mk''",
      "QuotientModule.Quotient.topologicalSpace._proof_1",
      "QuotientModule.Quotient.topologicalSpace._proof_2",
      "QuotientModule.Quotient.topologicalSpace._proof_3",
      "RCLike",
      "RCLike.instContinuousStar",
      "RCLike.instOrderClosedTopology",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.re",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.smul_re",
      "RCLike.toCompleteSpace",
      "RCLike.toDenselyNormedField",
      "RCLike.toInnerProductSpaceReal",
      "RCLike.toNormedAlgebra",
      "RCLike.toPosMulReflectLT",
      "RCLike.toStarRing",
      "RCLike.uniqueNonUnitalContinuousFunctionalCalculus",
      "Rat",
      "Rat.commSemiring",
      "Rat.instCharZero",
      "Rat.instField",
      "Rat.instNormedField",
      "Rat.monoid",
      "Rat.rawCast",
      "Rat.semiring",
      "Real",
      "Real.commRing",
      "Real.continuous_sqrt",
      "Real.decidableEq",
      "Real.decidableLE",
      "Real.decidableLT",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instArchimedean",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instConditionallyCompleteLinearOrder",
      "Real.instContinuousMapUniqueHom",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInfSet",
      "Real.instInv",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedCancelAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instSemilatticeInf",
      "Real.instSemilatticeSup",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.isScalarTower",
      "Real.lattice",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedAddCommGroup",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Real.sqrt_pos",
      "Real.sqrt_pos_of_pos",
      "Real.sqrt_sq",
      "Right.add_pos_of_nonneg_of_pos",
      "Ring",
      "Ring.inverse",
      "Ring.inverse_sub_inverse",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toIntAlgebra",
      "Ring.toNonAssocRing",
      "Ring.toNonUnitalRing",
      "Ring.toSemiring",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHom.mk",
      "RingHomClass.toAddMonoidHomClass",
      "RingHomClass.toMonoidWithZeroHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple",
      "RingHomCompTriple.comp_apply",
      "RingHomCompTriple.ids",
      "RingHomInvPair",
      "RingHomInvPair.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomInvPair.triples₂",
      "RingHomIsometric",
      "RingHomIsometric.ids",
      "RingHomSurjective",
      "RingHomSurjective.ids",
      "SMul.mk",
      "SMulCommClass",
      "SMulCommClass.complexToReal",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.mk",
      "SemigroupAction.mul_smul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toMin",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNatAlgebra",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "SeparatingDual.instNontrivialContinuousLinearMapIdOfContinuousSMul",
      "Set",
      "Set.Elem",
      "Set.Finite",
      "Set.Icc",
      "Set.MapsTo",
      "Set.MapsTo.closure",
      "Set.Nonempty",
      "Set.Subsingleton",
      "Set.centralizer",
      "Set.ext",
      "Set.fintypeSingleton",
      "Set.iInter",
      "Set.iUnion",
      "Set.image",
      "Set.instCompl",
      "Set.instHasSubset",
      "Set.instInsert",
      "Set.instInter",
      "Set.instInvolutiveStar",
      "Set.instMembership",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.isClosed_centralizer",
      "Set.mem_Icc._simp_1",
      "Set.mem_iInter",
      "Set.mem_iUnion₂",
      "Set.mem_insert",
      "Set.mem_insert_of_mem",
      "Set.mem_singleton",
      "Set.mem_singleton_iff",
      "Set.mem_singleton_iff._simp_1",
      "Set.preimage",
      "Set.projIcc",
      "Set.projIcc_of_mem",
      "Set.range",
      "Set.sUnion",
      "Set.setOf_forall",
      "Set.toFinite",
      "Set.univ",
      "SetLike",
      "SetLike.coe",
      "SetLike.instMembership",
      "SetLike.mem_coe",
      "SetRel.comp",
      "Sigma",
      "Sigma.casesOn",
      "Sigma.fst",
      "Sigma.instDecidableEqSigma",
      "Sigma.instFintype",
      "Sigma.mk",
      "Sigma.snd",
      "Singleton.singleton",
      "Star",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgHom",
      "StarAlgHom.instAlgHomClass",
      "StarAlgHom.instFunLike",
      "StarAlgHom.instStarHomClass",
      "StarAlgHom.map_cfc",
      "StarAlgHom.mk",
      "StarAlgHom.toAlgHom",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarAlgHomClass.map_cfc",
      "StarHomClass",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.instStarRing",
      "StarMemClass.star_mem",
      "StarModule",
      "StarModule.complexToReal",
      "StarModule.star_smul",
      "StarMul",
      "StarMul.star_mul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarSubalgebra",
      "StarSubalgebra.algebra",
      "StarSubalgebra.centralizer",
      "StarSubalgebra.coe_centralizer",
      "StarSubalgebra.cstarAlgebra",
      "StarSubalgebra.mem_centralizer_iff",
      "StarSubalgebra.setLike",
      "StarSubalgebra.smulMemClass",
      "StarSubalgebra.starMemClass",
      "StarSubalgebra.starRing",
      "StarSubalgebra.subringClass",
      "StarSubalgebra.subsemiringClass",
      "StarSubalgebra.subtype",
      "Std.le_refl._simp_1",
      "Sub.mk",
      "SubNegMonoid.mk",
      "SubNegMonoid.sub_eq_add_neg._autoParam",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toNeg",
      "SubNegMonoid.toSub",
      "SubNegMonoid.zsmul_neg'._autoParam",
      "SubNegMonoid.zsmul_succ'._autoParam",
      "SubNegMonoid.zsmul_zero'._autoParam",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubalgebraClass.toNormedAlgebra",
      "Submodule",
      "Submodule.HasOrthogonalProjection",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.Quotient.addCommGroup._aux_1",
      "Submodule.Quotient.addCommGroup._aux_3",
      "Submodule.Quotient.addCommGroup._aux_6",
      "Submodule.Quotient.addCommGroup._proof_10",
      "Submodule.Quotient.addCommGroup._proof_11",
      "Submodule.Quotient.addCommGroup._proof_12",
      "Submodule.Quotient.addCommGroup._proof_5",
      "Submodule.Quotient.addCommGroup._proof_8",
      "Submodule.Quotient.addCommGroup._proof_9",
      "Submodule.Quotient.addMonoid._aux_1",
      "Submodule.Quotient.addMonoid._aux_6",
      "Submodule.Quotient.addMonoid._proof_3",
      "Submodule.Quotient.addMonoid._proof_4",
      "Submodule.Quotient.addMonoid._proof_5",
      "Submodule.Quotient.addMonoid._proof_8",
      "Submodule.Quotient.addMonoid._proof_9",
      "Submodule.Quotient.completeSpace",
      "Submodule.Quotient.distribMulAction'._proof_1",
      "Submodule.Quotient.distribMulAction'._proof_2",
      "Submodule.Quotient.eq",
      "Submodule.Quotient.instSMul'._proof_2",
      "Submodule.Quotient.mk",
      "Submodule.Quotient.module'._proof_3",
      "Submodule.Quotient.module'._proof_4",
      "Submodule.Quotient.mulAction'._proof_1",
      "Submodule.Quotient.mulAction'._proof_2",
      "Submodule.Quotient.norm_mk_le",
      "Submodule.Quotient.norm_mk_lt",
      "Submodule.Quotient.normedAddCommGroup._proof_1",
      "Submodule.Quotient.normedAddCommGroup._proof_2",
      "Submodule.Quotient.normedSpace._proof_1",
      "Submodule.Quotient.seminormedAddCommGroup",
      "Submodule.Quotient.seminormedAddCommGroup._aux_1",
      "Submodule.Quotient.seminormedAddCommGroup._aux_11",
      "Submodule.Quotient.seminormedAddCommGroup._aux_17",
      "Submodule.Quotient.seminormedAddCommGroup._aux_3",
      "Submodule.Quotient.seminormedAddCommGroup._aux_8",
      "Submodule.Quotient.seminormedAddCommGroup._proof_10",
      "Submodule.Quotient.seminormedAddCommGroup._proof_13",
      "Submodule.Quotient.seminormedAddCommGroup._proof_14",
      "Submodule.Quotient.seminormedAddCommGroup._proof_15",
      "Submodule.Quotient.seminormedAddCommGroup._proof_16",
      "Submodule.Quotient.seminormedAddCommGroup._proof_19",
      "Submodule.Quotient.seminormedAddCommGroup._proof_20",
      "Submodule.Quotient.seminormedAddCommGroup._proof_5",
      "Submodule.Quotient.seminormedAddCommGroup._proof_6",
      "Submodule.Quotient.seminormedAddCommGroup._proof_7",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.addSubmonoidClass",
      "Submodule.add_mem",
      "Submodule.adjoint_orthogonalProjectionOnto",
      "Submodule.adjoint_subtypeL",
      "Submodule.closed_of_finiteDimensional",
      "Submodule.completeLattice",
      "Submodule.eq_starProjection_of_mem_orthogonal'",
      "Submodule.finiteDimensional_of_le",
      "Submodule.finiteDimensional_sup",
      "Submodule.finrank_lt_finrank_of_lt",
      "Submodule.hasQuotient",
      "Submodule.innerProductSpace",
      "Submodule.inner_right_of_mem_orthogonal",
      "Submodule.instBot",
      "Submodule.instOrderTop",
      "Submodule.instOrthogonalCompleteSpace",
      "Submodule.instPartialOrder",
      "Submodule.instTop",
      "Submodule.isClosed_topologicalClosure",
      "Submodule.isIdempotentElem_starProjection",
      "Submodule.isScalarTower'",
      "Submodule.le_topologicalClosure",
      "Submodule.liftQL",
      "Submodule.map",
      "Submodule.mem_bot",
      "Submodule.mem_orthogonal",
      "Submodule.mem_top",
      "Submodule.mkQL",
      "Submodule.module",
      "Submodule.module._proof_1",
      "Submodule.neg_mem",
      "Submodule.normedAddCommGroup",
      "Submodule.normedSpace",
      "Submodule.orthogonal",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.orthogonalProjectionOnto_mem_subspace_eq_self",
      "Submodule.orthogonal_orthogonal_eq_closure",
      "Submodule.quotientRel",
      "Submodule.range_starProjection",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smul",
      "Submodule.smulMemClass",
      "Submodule.smul_mem",
      "Submodule.span",
      "Submodule.starProjection",
      "Submodule.starProjection.congr_simp",
      "Submodule.starProjection_apply_mem",
      "Submodule.starProjection_eq_self_iff",
      "Submodule.starProjection_minimal",
      "Submodule.starProjection_norm_le",
      "Submodule.sub_starProjection_mem_orthogonal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "Submodule.subtypeL",
      "Submodule.topologicalAddGroup",
      "Submodule.topologicalClosure",
      "Submodule.topologicalClosure_minimal",
      "Submodule.zero",
      "Submodule.zero_mem",
      "SubmoduleClass.module",
      "Submonoid",
      "Submonoid.instSetLike",
      "SubringClass",
      "SubringClass.nonUnitalSubringClass",
      "SubringClass.toNormedRing",
      "SubringClass.toSeminormedRing",
      "Subsemigroup",
      "Subsemigroup.instSetLike",
      "Subsemigroup.mul_mem",
      "SubsemiringClass.toSemiring",
      "Subsingleton",
      "Subsingleton.elim",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toInvolutiveNeg",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.casesOn",
      "Subtype.ext",
      "Subtype.forall",
      "Subtype.instDecidableEq",
      "Subtype.instFrechetUrysohnSpace",
      "Subtype.metricSpace",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.val",
      "Sum",
      "Sum.elim",
      "Sum.inl",
      "Sum.inr",
      "Summable",
      "Summable.hasSum",
      "Summable.of_nonneg_of_le",
      "Summable.of_norm_bounded",
      "Summable.tsum_le_tsum",
      "SummationFilter",
      "SummationFilter.instLeAtTopUnconditional",
      "SummationFilter.instNeBotUnconditional",
      "SummationFilter.unconditional",
      "T2Space.t1Space",
      "T3Space.toT0Space",
      "T4Space.t3Space",
      "T5Space.toT1Space",
      "T6Space.toT0Space",
      "T6Space.toT5Space",
      "Top.top",
      "TopologicalLattice.toContinuousInf",
      "TopologicalLattice.toContinuousSup",
      "TopologicalSpace",
      "TopologicalSpace.PseudoMetrizableSpace.firstCountableTopology",
      "TopologicalSpace.mk",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "TotallyBounded",
      "Trans.trans",
      "TrivialStar.star_trivial",
      "True",
      "True.intro",
      "TwoSidedIdeal",
      "TwoSidedIdeal.ext",
      "TwoSidedIdeal.instAddSubgroupClass",
      "TwoSidedIdeal.instBot",
      "TwoSidedIdeal.instPartialOrder",
      "TwoSidedIdeal.mem_bot",
      "TwoSidedIdeal.mem_mk'",
      "TwoSidedIdeal.mk'",
      "TwoSidedIdeal.mul_mem_left",
      "TwoSidedIdeal.mul_mem_right",
      "TwoSidedIdeal.neg_mem",
      "TwoSidedIdeal.setLike",
      "TwoSidedIdeal.zero_mem",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace.completelyNormalSpace_of_isCountablyGenerated_uniformity",
      "UniformSpace.mk",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Unique.instSubsingleton",
      "Unit",
      "Unit.unit",
      "Unitary.argSelfAdjoint",
      "Unitary.coe_star_mul_self",
      "Unitary.instStarSubtypeMemSubmonoidUnitary",
      "Unitary.mem_iff",
      "Unitization",
      "Unitization.ext",
      "Unitization.fstHom._proof_1",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inrNonUnitalStarAlgHom_apply",
      "Unitization.inr_nonneg_iff",
      "Unitization.instAdd",
      "Unitization.instAlgebra",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarRing",
      "Unitization.instDistribMulAction",
      "Unitization.instMul",
      "Unitization.instNonAssocSemiring",
      "Unitization.instNormedRing",
      "Unitization.instPartialOrder",
      "Unitization.instSemiring",
      "Unitization.instStar",
      "Unitization.instStarOrderedRing",
      "Unitization.instStarRing",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.starAlgHom_ext",
      "Unitization.starLift",
      "Unitization.starLift._proof_1",
      "Unitization.starLift_apply",
      "Unitization.toProd",
      "Zero",
      "Zero.mk",
      "Zero.toOfNat0",
      "ZeroMemClass",
      "ZeroMemClass.coe_eq_zero._simp_1",
      "ZeroMemClass.zero",
      "ZeroMemClass.zero_mem",
      "abs",
      "abs_div",
      "abs_le",
      "abs_mul",
      "abs_neg",
      "abs_nonneg",
      "abs_of_nonneg",
      "abs_of_pos",
      "abs_one",
      "abs_zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_apply",
      "add_comm",
      "add_le_add",
      "add_le_add_right",
      "add_left_inj._simp_1",
      "add_lt_add",
      "add_mul",
      "add_pos'",
      "add_pos_of_pos_of_nonneg",
      "add_smul",
      "add_sub_cancel",
      "add_sub_cancel_left",
      "add_zero",
      "algebraMap.coe_mul",
      "algebraMap.coe_neg",
      "algebraMap.coe_one",
      "and_self",
      "autoParam",
      "binderNameHint",
      "cast",
      "cfc",
      "cfc_add",
      "cfc_comp",
      "cfc_congr",
      "cfc_const",
      "cfc_id",
      "cfc_id'",
      "cfc_inv",
      "cfc_map_spectrum",
      "cfc_mul",
      "cfc_predicate",
      "cfc_real_eq_complex",
      "cfc_smul",
      "cfc_sub",
      "cfc_zero",
      "cfcₙ",
      "cfcₙ_add",
      "cfcₙ_congr",
      "cfcₙ_eq_cfc",
      "cfcₙ_id'",
      "cfcₙ_mul",
      "cfcₙ_nonneg",
      "cfcₙ_predicate",
      "cfcₙ_sub",
      "cfcₙ_zero",
      "ciInf_le",
      "closure",
      "closure_minimal",
      "commute_iff_eq",
      "compactOperator",
      "complete_of_proper",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "congr_arg",
      "congr_arg₂",
      "continuousOn_const",
      "continuousOn_id",
      "continuousOn_id'",
      "continuous_const",
      "continuous_id",
      "continuous_id'",
      "continuous_subtype_val",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "covariant_swap_add_of_covariant_add",
      "dist_eq_norm",
      "dist_zero_left",
      "dist_zero_right",
      "dite",
      "div_eq_mul_inv",
      "div_le_iff₀",
      "div_le_one",
      "div_mul_cancel₀",
      "div_nonneg",
      "div_one",
      "div_pos",
      "div_pow",
      "div_self",
      "div_self_mul_self'",
      "eq_false",
      "eq_intCast",
      "eq_natCast",
      "eq_neg_of_add_eq_zero_left",
      "eq_of_heq",
      "eq_self",
      "eq_true",
      "even_two_mul",
      "exists_ne",
      "expUnitary_argSelfAdjoint",
      "ext_inner_right",
      "fact_one_le_two_ennreal",
      "false_or",
      "forall_congr",
      "funext",
      "ge_iff_le._simp_1",
      "gt_iff_lt._simp_1",
      "half_lt_self",
      "half_pos",
      "hasSum_fintype",
      "heq_of_eq",
      "iInf",
      "id",
      "iff_of_true",
      "iff_self",
      "imaginaryPart",
      "imaginaryPart_apply_coe",
      "implies_congr",
      "implies_true",
      "inf_of_le_left",
      "inf_of_le_right",
      "inferInstance",
      "innerSL",
      "inner_add_left",
      "inner_add_right",
      "inner_conj_symm",
      "inner_re_symm",
      "inner_self_eq_norm_sq_to_K",
      "inner_self_eq_zero",
      "inner_smul_left",
      "inner_smul_real_left",
      "inner_smul_right",
      "inner_sub_left",
      "inner_sub_right",
      "instAddCommGroupPreLp",
      "instAddMonoidWithOneENat",
      "instAddNat",
      "instArchimedeanNat",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instCommCStarAlgebraComplex",
      "instCommSemiringNNRat",
      "instCompleteSpaceSubtypeMemSubmoduleOfIsClosedCoe",
      "instContinuousSqrtReal",
      "instContinuousStarReal",
      "instDecidableEqBool",
      "instDecidableEqFin",
      "instDecidableEqNat",
      "instDecidableEqSum",
      "instDecidableNot",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instFintypeSum",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instHasSolidNormReal",
      "instInhabitedNat",
      "instIsBotZeroClass",
      "instIsCancelMulZero",
      "instIsDirectedOrder",
      "instIsDomain",
      "instIsLeftCancelAddOfAddLeftReflectLE",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instIsTopologicalAddGroupReal",
      "instIsTopologicalDivisionRingReal",
      "instIsTopologicalRingReal",
      "instIsTorsionFreeOfIsDomainOfNoZeroSMulDivisors",
      "instLENat",
      "instLTNat",
      "instMulNat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNatCastInt",
      "instNeZeroNatHAdd_1",
      "instNonemptyOfInhabited",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instOrderTopologyReal",
      "instPreorderENat",
      "instReflLe",
      "instSMulOfMul",
      "instSeparatelyContinuousAddOfContinuousAdd",
      "instSeparatingDual",
      "instStarRingReal",
      "instSubsingletonPUnit",
      "instT2SpaceSubtype",
      "instT4SpaceOfT1SpaceOfNormalSpace",
      "instT6SpaceOfMetrizableSpace",
      "instTopologicalSpaceSubtype",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "instTransLELT",
      "instTrivialStarReal",
      "instUniformSpaceSubtype",
      "inv_le_one₀",
      "inv_mul_cancel₀",
      "inv_ne_zero",
      "inv_nonneg",
      "inv_pos",
      "inv_pos_of_pos",
      "inv_pow",
      "isClosed_eq",
      "isClosed_iInter",
      "isClosed_setOf_isCompactOperator",
      "isCompactOperator_of_locallyCompactSpace_dom",
      "isCompactOperator_zero",
      "isEmptyElim",
      "isEmpty_or_nonempty",
      "isIdempotentElem_iff",
      "isReduced_of_noZeroDivisors",
      "isSelfAdjoint_iff",
      "isSelfAdjoint_starProjection",
      "isStarProjection_iff_eq_starProjection_range",
      "isStarProjection_iff_isIdempotentElem_and_isStarNormal",
      "isStarProjection_starProjection",
      "isUnit_cfc_iff",
      "ite",
      "ite_cond_eq_true",
      "le_abs_self",
      "le_antisymm",
      "le_div_iff₀",
      "le_max_left",
      "le_max_right",
      "le_min",
      "le_of_eq",
      "le_of_forall_pos_le_add",
      "le_of_le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_refl",
      "le_rfl",
      "le_sup_left",
      "le_sup_right",
      "locallyCompact_of_proper",
      "lowerBounds",
      "lp",
      "lp.coeFn_sum",
      "lp.completeSpace",
      "lp.evalCLM",
      "lp.ext",
      "lp.hasSum_single",
      "lp.inner_eq_tsum",
      "lp.instInnerProductSpace",
      "lp.instIsBoundedSMulSubtypePreLpMemAddSubgroup",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instNormedSpace",
      "lp.instNormedSpace._proof_1",
      "lp.instSMulCommClassSubtypePreLpMemAddSubgroup",
      "lp.mapCLM",
      "lp.norm_apply_le_norm",
      "lp.norm_single",
      "lp.normedAddCommGroup",
      "lp.single",
      "lp.singleContinuousLinearMap",
      "lt_min",
      "lt_min_iff",
      "lt_of_le_of_ne",
      "lt_of_le_of_ne'",
      "lt_of_lt_of_le",
      "lt_of_not_ge",
      "lt_or_gt_of_ne",
      "map_add",
      "map_inv₀",
      "map_mul",
      "map_neg",
      "map_one",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "max_le",
      "min_eq_left",
      "min_eq_right",
      "min_le_left",
      "min_le_right",
      "mul_add",
      "mul_apply_eq_comp",
      "mul_assoc",
      "mul_comm",
      "mul_inv_cancel₀",
      "mul_le_mul",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_lt_mul_of_pos_left",
      "mul_lt_mul_of_pos_right",
      "mul_neg",
      "mul_nonneg",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_one",
      "mul_pos",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_smul_comm",
      "mul_sub",
      "ne_of_gt",
      "neg_eq_zero",
      "neg_eq_zero._simp_1",
      "neg_le_neg",
      "neg_mul",
      "neg_mul_neg",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_nonpos",
      "neg_smul",
      "neg_zero",
      "nhds",
      "norm_add_le",
      "norm_add_sq",
      "norm_algebraMap'",
      "norm_apply_le_norm_cfc",
      "norm_cfc_le",
      "norm_cfcₙ_le",
      "norm_div",
      "norm_eq_zero",
      "norm_inv",
      "norm_mul_le",
      "norm_ne_zero_iff",
      "norm_neg",
      "norm_nonneg",
      "norm_nonneg._simp_1",
      "norm_norm",
      "norm_pos_iff",
      "norm_pos_iff._simp_1",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "norm_sub_le",
      "norm_sub_rev",
      "norm_sub_sq",
      "norm_sum_le",
      "norm_tsum_le_tsum_norm",
      "norm_zero",
      "normedAlgebraRat",
      "not_exists",
      "not_false",
      "not_false_eq_true",
      "not_le._simp_1",
      "not_ne_iff",
      "not_subsingleton_iff_nontrivial",
      "not_true_eq_false",
      "nsmul_eq_mul",
      "of_decide_eq_true",
      "of_eq_true",
      "one_apply_eq_self",
      "one_div",
      "one_mul",
      "one_ne_zero",
      "one_ne_zero._simp_1",
      "one_pow",
      "one_smul",
      "optParam",
      "outParam",
      "pow_one",
      "pow_pos",
      "pow_succ'",
      "pow_two",
      "pow_zero",
      "propext",
      "quasispectrum",
      "realPart",
      "realPart_add_I_smul_imaginaryPart",
      "realPart_apply_coe",
      "real_inner_eq_re_inner",
      "resolventSet",
      "rfl",
      "selfAdjoint",
      "selfAdjoint.expUnitary",
      "selfAdjoint.expUnitary._proof_1",
      "selfAdjoint.expUnitary_coe",
      "selfAdjoint.instModuleSubtypeMemAddSubgroupOfStarModule",
      "setOf",
      "smulCommClass_self",
      "smul_add",
      "smul_apply",
      "smul_eq_zero",
      "smul_mul_assoc",
      "smul_smul",
      "smul_sub",
      "smul_zero",
      "spectrum",
      "spectrum.isOpen_resolventSet",
      "spectrum.norm_le_norm_of_mem",
      "sq",
      "sq_abs",
      "sq_eq_sq₀",
      "sq_eq_zero_iff",
      "sq_le_sq₀",
      "sq_nonneg",
      "sq_pos_of_pos",
      "squeeze_zero",
      "starRingEnd",
      "star_inv₀",
      "star_left_conjugate_nonneg",
      "star_mul_self_nonneg",
      "star_neg",
      "star_one",
      "star_star",
      "star_sub",
      "star_zero",
      "stdOrthonormalBasis",
      "sub_add_cancel",
      "sub_apply",
      "sub_eq_add_neg",
      "sub_eq_zero",
      "sub_eq_zero_of_eq",
      "sub_mul",
      "sub_neg_eq_add",
      "sub_nonneg",
      "sub_nonpos",
      "sub_pos",
      "sub_pos_of_lt",
      "sub_self",
      "sub_smul",
      "sub_sub_cancel_left",
      "sub_zero",
      "sum_mem",
      "summable_geometric_two'",
      "sup_of_le_left",
      "sup_of_le_right",
      "tendsto_const_nhds",
      "tendsto_finsetSum",
      "tendsto_nhds_unique",
      "tendsto_one_div_add_atTop_nhds_zero_nat",
      "tendsto_pow_atTop_nhds_zero_of_lt_one",
      "tendsto_zero_iff_norm_tendsto_zero",
      "top_unique",
      "tsum",
      "tsum_congr",
      "tsum_fintype",
      "tsum_geometric_two'",
      "tsum_star",
      "two_mul",
      "two_smul",
      "uniformity",
      "unitary",
      "zero_add",
      "zero_apply",
      "zero_div",
      "zero_eq_mul._simp_1",
      "zero_le",
      "zero_le_one",
      "zero_le_one._simp_1",
      "zero_lt_one",
      "zero_ne_one._simp_1",
      "zero_pow",
      "zero_smul",
      "zero_sub"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.CompactOperatorC0Sum": [
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommMagma.toAdd",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubmonoid.mk",
      "AddSubsemigroup.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "Algebra.algebraMap",
      "Algebra.id",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.false",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarRing.to_normedStarGroup",
      "Classical.propDecidable",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toCommSemiring",
      "CommRing.toRing",
      "CommSemiring.toCommMonoid",
      "CommSemiring.toSemiring",
      "CompleteSpace",
      "Complex",
      "Complex.commRing",
      "Complex.instCommSemiring",
      "Complex.instDecidableEq",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instZero",
      "ConditionallyCompleteLattice.toConditionallyCompletePartialOrder",
      "ConditionallyCompleteLinearOrder.toConditionallyCompleteLattice",
      "ConditionallyCompletePartialOrder.toConditionallyCompletePartialOrderSup",
      "ConditionallyCompletePartialOrderSup.toPartialOrder",
      "ContinuousAdd",
      "ContinuousConstSMul",
      "ContinuousLinearMap",
      "ContinuousLinearMap.addCommGroup",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.adjoint",
      "ContinuousLinearMap.adjoint_inner_left",
      "ContinuousLinearMap.comp",
      "ContinuousLinearMap.continuousConstSMul",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.ext",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.instIsAddApply",
      "ContinuousLinearMap.instIsSubApply",
      "ContinuousLinearMap.instIsZeroApply",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.module",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.smulCommClass",
      "ContinuousLinearMap.sub",
      "ContinuousLinearMap.sum_apply",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousLinearMap.toPseudoMetricSpace",
      "ContinuousLinearMap.toSeminormedAddCommGroup",
      "ContinuousLinearMap.toSpanSingleton",
      "ContinuousLinearMap.topologicalAddGroup",
      "ContinuousLinearMap.topologicalSpace",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Dist.dist",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvMonoid.toInv",
      "DivInvMonoid.toMonoid",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toSemiring",
      "EMetricSpace.metrizableSpace",
      "ENNReal",
      "ENNReal.instTop",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "EquivLike.toFunLike",
      "Exists",
      "Exists.casesOn",
      "Exists.intro",
      "False",
      "False.elim",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Fin",
      "Fin.fintype",
      "FiniteDimensional",
      "FiniteDimensional.complete",
      "FiniteDimensional.proper_real",
      "FiniteDimensional.rclike_to_real",
      "FiniteDimensional.span_of_finite",
      "Finset",
      "Finset.instSetLike",
      "Finset.sum",
      "Finset.sum_congr",
      "Finset.univ",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "Function.comp",
      "Function.hasSMul",
      "GT.gt",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasSubset.Subset",
      "Iff.mp",
      "Iff.mpr",
      "Inner.inner",
      "InnerProductSpace",
      "InnerProductSpace.adjoint_rankOne",
      "InnerProductSpace.rankOne",
      "InnerProductSpace.rankOne_def'",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Int",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inv.inv",
      "InvOneClass.toInv",
      "IsBoundedSMul",
      "IsBoundedSMul.continuousSMul",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsClosed",
      "IsClosed.preimage",
      "IsCompact",
      "IsCompact.totallyBounded",
      "IsCompactOperator",
      "IsCompactOperator.add",
      "IsCompactOperator.clm_comp",
      "IsCompactOperator.comp_clm",
      "IsCompactOperator.image_closedBall_subset_compact",
      "IsCompactOperator.smul",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedRing.toPosMulMono",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "LE.le",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "LT.lt.ne'",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.continuous",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.instSemilinearIsometryEquivClass",
      "LinearMap",
      "LinearMap.instFunLike",
      "LinearMap.range",
      "LinearMap.semilinearMapClass",
      "LinearOrder.toPartialOrder",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Membership.mem",
      "Metric.ball",
      "Metric.closedBall",
      "Metric.mem_ball",
      "Metric.mem_closedBall",
      "Metric.mem_closure_iff",
      "Metric.totallyBounded_iff",
      "MetricSpace.toEMetricSpace",
      "Module.finrank",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidWithZero.toMulZeroOneClass",
      "Mul",
      "MulAction.toSemigroupAction",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "Nat",
      "Nat.cast_one",
      "Nat.cast_zero",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCommSemiring",
      "Nat.instNeZeroSucc",
      "Nat.mul",
      "Nat.rawCast",
      "Ne",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedCommRing.toNonUnitalNormedRing",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.mk",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalSubalgebra.mk",
      "NonUnitalSubringClass",
      "NonUnitalSubsemiring.mk",
      "NontriviallyNormedField.toNormedField",
      "Norm.norm",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toMetricSpace",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedAlgebra.toAlgebra",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toNormedRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNorm",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField.toField",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedRing.toRing",
      "NormedSpace",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "Not",
      "OfNat.ofNat",
      "One.toOfNat1",
      "Or",
      "OrthonormalBasis",
      "OrthonormalBasis.instFunLike",
      "OrthonormalBasis.sum_repr'",
      "PartialOrder.toPreorder",
      "Pi.instAdd",
      "Pi.instZero",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulReflectLE",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike",
      "RCLike.norm_ofReal",
      "RCLike.ofReal",
      "RCLike.toCompleteSpace",
      "RCLike.toDenselyNormedField",
      "RCLike.toInnerProductSpaceReal",
      "RCLike.toNormedAlgebra",
      "RCLike.toStarRing",
      "Real",
      "Real.commRing",
      "Real.decidableLE",
      "Real.instAdd",
      "Real.instAddCommMonoid",
      "Real.instAddGroup",
      "Real.instAddMonoid",
      "Real.instCommSemiring",
      "Real.instConditionallyCompleteLinearOrder",
      "Real.instDivInvMonoid",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instInfSet",
      "Real.instInv",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instZero",
      "Real.lattice",
      "Real.linearOrder",
      "Real.mul_self_sqrt",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.semiring",
      "Real.sqrt",
      "Real.sqrt_pos",
      "Ring",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toNonAssocRing",
      "Ring.toSemiring",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHomCompTriple.ids",
      "RingHomInvPair.instStarRingEnd",
      "RingHomIsometric.ids",
      "RingHomSurjective.ids",
      "SMulCommClass",
      "SMulMemClass",
      "SMulMemClass.continuousSMul",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "SemigroupAction.toSMul",
      "SemilinearIsometryClass.toSemilinearMapClass",
      "SemilinearIsometryEquivClass.toSemilinearIsometryClass",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNonAssocSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "Set",
      "Set.Finite",
      "Set.Finite.subset",
      "Set.Finite.union",
      "Set.finite_empty._simp_1",
      "Set.iUnion",
      "Set.image",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instMembership",
      "Set.instUnion",
      "Set.mem_iUnion₂",
      "Set.mem_union",
      "Set.range",
      "SetLike.coe",
      "SetLike.instMembership",
      "Star.star",
      "StarMemClass",
      "StarRing.toStarAddMonoid",
      "Std.le_refl._simp_1",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "Submodule",
      "Submodule.HasOrthogonalProjection.ofCompleteSpace",
      "Submodule.addCommGroup",
      "Submodule.addCommMonoid",
      "Submodule.addSubmonoidClass",
      "Submodule.finiteDimensional_of_le",
      "Submodule.innerProductSpace",
      "Submodule.instPartialOrder",
      "Submodule.module",
      "Submodule.normedAddCommGroup",
      "Submodule.orthogonalProjectionOnto",
      "Submodule.seminormedAddCommGroup",
      "Submodule.setLike",
      "Submodule.smulMemClass",
      "Submodule.span",
      "Submodule.starProjection",
      "Submodule.starProjection_minimal",
      "Submodule.subset_span",
      "Submodule.subtype",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.val",
      "Top.top",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "TotallyBounded",
      "Trans.trans",
      "True",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Zero.toOfNat0",
      "abs",
      "abs_of_pos",
      "ciInf_le",
      "closure",
      "closure_minimal",
      "compactOperator",
      "congr",
      "congrArg",
      "congrFun'",
      "dist_eq_norm",
      "dist_zero_right",
      "dite",
      "div_eq_mul_inv",
      "div_le_iff₀",
      "div_pos",
      "eq_false",
      "eq_self",
      "eq_true",
      "forall_congr",
      "funext",
      "half_lt_self",
      "half_pos",
      "iInf",
      "id",
      "implies_congr",
      "inferInstance",
      "innerSL",
      "instAddCommGroupPreLp",
      "instAddNat",
      "instCStarAlgebraContinuousLinearMapComplexIdOfCompleteSpace",
      "instCommCStarAlgebraComplex",
      "instDecidableOr",
      "instDistribOfSemiring",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instMulZeroClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instReflLe",
      "instT2SpaceSubtype",
      "instTopologicalSpaceSubtype",
      "instTransEq",
      "instTransLE",
      "instTransLELT",
      "instUniformSpaceSubtype",
      "inv_mul_cancel₀",
      "isClosed_setOf_isCompactOperator",
      "isCompactOperator_of_locallyCompactSpace_dom",
      "isCompactOperator_zero",
      "le_refl",
      "locallyCompact_of_proper",
      "lowerBounds",
      "lp",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instMulSubtypePreLpMemAddSubgroupTopENNReal",
      "lp.instStarSubtypePreLpMemAddSubgroup",
      "lp.nonUnitalRing",
      "map_smul",
      "map_sum",
      "map_zero",
      "mul_comm",
      "mul_le_mul_of_nonneg_left",
      "mul_lt_mul_of_pos_right",
      "norm_add_le",
      "norm_algebraMap'",
      "norm_inv",
      "norm_mul_le",
      "norm_nonneg",
      "norm_norm",
      "norm_pos_iff",
      "norm_smul",
      "norm_star",
      "norm_zero",
      "not_false_eq_true",
      "not_le._simp_1",
      "not_le_of_gt",
      "not_or._simp_2",
      "of_eq_true",
      "propext",
      "rfl",
      "setOf",
      "smulCommClass_self",
      "starRingEnd",
      "stdOrthonormalBasis",
      "sub_apply",
      "sub_eq_zero_of_eq",
      "sub_self",
      "sum_mem",
      "zero_smul"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.ClosedStarIdeal.c0SumEquivOfDense": [
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommMagma.toAdd",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddHom.mk",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoidHomClass.isometry_iff_norm",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddSemigroup.toAdd",
      "AddSubgroup",
      "AddSubgroup.add",
      "AddSubgroup.instSetLike",
      "AddSubgroup.sub",
      "AddSubgroup.toAddCommGroup",
      "AddSubgroup.toAddGroup",
      "AddSubgroup.zero",
      "AddSubgroupClass.sub",
      "AddSubgroupClass.toAddGroup._proof_6",
      "AddSubmonoid.mk",
      "AddSubmonoidClass",
      "AddSubmonoidClass.toZeroMemClass",
      "AddSubsemigroup.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.false",
      "Bot.bot",
      "CStarAlgebra.toNormedRing",
      "CStarRing.norm_star_mul_self",
      "CStarRing.to_normedStarGroup",
      "Classical.byContradiction",
      "Classical.not_imp._simp_2",
      "Classical.not_not._simp_2",
      "Classical.propDecidable",
      "CommCStarAlgebra.toCStarAlgebra",
      "CommMagma.toMul",
      "CommRing.toCommSemiring",
      "CommRing.toRing",
      "CommSemiring.toSemiring",
      "Commute",
      "Compl.compl",
      "Complex",
      "Complex.commRing",
      "Complex.instCommSemiring",
      "Complex.instDecidableEq",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instSemiring",
      "Complex.instZero",
      "Continuous.comp",
      "Continuous.mul",
      "ContinuousLinearMap",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.funLike",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "ContinuousStar.continuous_star",
      "DFunLike.coe",
      "Decidable",
      "Decidable.byContradiction",
      "Dense",
      "Dense.closure_eq",
      "DenseRange",
      "DenseRange.induction_on",
      "DenseRange.induction_on₂",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionHom.mk",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toDivisionSemiring",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toSemiring",
      "EMetricSpace.metrizableSpace",
      "EMetricSpace.toPseudoEMetricSpace",
      "ENNReal",
      "ENNReal.instTop",
      "ENNReal.instZero",
      "ENNReal.top_ne_zero._simp_1",
      "EmptyCollection.emptyCollection",
      "Eq",
      "Eq.mp",
      "Eq.mpr",
      "Eq.ndrec",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "Equiv",
      "Equiv.ofBijective",
      "Exists",
      "Exists.casesOn",
      "Exists.intro",
      "False",
      "False.elim",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Finset",
      "Finset.decidableMem",
      "Finset.decidableMem'",
      "Finset.finite_toSet",
      "Finset.induction",
      "Finset.instEmptyCollection",
      "Finset.instHasSubset",
      "Finset.instInsert",
      "Finset.instSetLike",
      "Finset.instSingleton",
      "Finset.instUnion",
      "Finset.le_sup",
      "Finset.mem_singleton._simp_1",
      "Finset.mem_union_left",
      "Finset.mem_union_right",
      "Finset.mul_sum",
      "Finset.smul_sum",
      "Finset.subset_union_left",
      "Finset.subset_union_right",
      "Finset.sum",
      "Finset.sum_add_distrib",
      "Finset.sum_congr",
      "Finset.sum_const_zero",
      "Finset.sum_eq_single",
      "Finset.sum_eq_zero",
      "Finset.sum_insert",
      "Finset.sum_mul",
      "Finset.sum_singleton",
      "Finset.sum_subset",
      "Finset.sup",
      "Finset.sup_empty",
      "Finset.sup_insert",
      "Finset.sup_le",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "Function.Injective",
      "Function.Surjective",
      "Function.comp",
      "GT.gt",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasSubset.Subset",
      "Iff",
      "Iff.mp",
      "Iff.mpr",
      "Insert.insert",
      "Int",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvolutiveStar.toStar",
      "IsBoundedSMul",
      "IsClosed",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsOpen",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightReflectLE_of_addRightReflectLT",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsSelfAdjoint.isStarNormal",
      "IsSelfAdjoint.star_mul_self",
      "IsStarNormal",
      "IsStarNormal.norm_add_eq_max",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsTopologicalRing.toIsTopologicalSemiring",
      "IsTopologicalSemiring.toContinuousMul",
      "Isometry",
      "Isometry.injective",
      "Isometry.isClosedEmbedding",
      "LE.le",
      "LE.le.trans",
      "LE.le.trans_lt",
      "LT.lt",
      "LT.lt.le",
      "Lattice.toSemilatticeInf",
      "LinearMap",
      "LinearMap.extendOfNorm",
      "LinearMap.extendOfNorm_eq",
      "LinearMap.instFunLike",
      "LinearMap.mk",
      "LinearOrder.toPartialOrder",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Tactic.Abel.subst_into_addg",
      "Mathlib.Tactic.Abel.term_add_constg",
      "Mathlib.Tactic.Abel.term_atomg",
      "Mathlib.Tactic.Abel.termg",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.add_nonpos",
      "Mathlib.Tactic.Linarith.eq_of_not_lt_of_not_gt",
      "Mathlib.Tactic.Linarith.le_of_eq_of_le",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_eq_of_lt",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Push.not_forall_eq",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Max.max",
      "Membership.mem",
      "Metric.ball",
      "Metric.denseRange_iff",
      "Metric.isOpen_iff",
      "Metric.mem_ball",
      "Metric.mem_closure_iff",
      "MetricSpace.toEMetricSpace",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom",
      "MonoidHom.id",
      "MonoidHom.id_apply",
      "MonoidHom.instFunLike",
      "MonoidWithZero.toMulZeroOneClass",
      "Mul",
      "MulAction.toSemigroupAction",
      "MulActionHom.mk",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulPosReflectLE.toMulPosReflectLT",
      "MulPosStrictMono.toMulPosReflectLE",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroClass.zero_mul",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNNorm.nnnorm",
      "NNReal",
      "NNReal.coe_le_coe",
      "NNReal.coe_max",
      "NNReal.coe_nonneg",
      "NNReal.eq",
      "NNReal.instCanonicallyOrderedAdd",
      "NNReal.instLinearOrder",
      "NNReal.instOrderBot",
      "NNReal.instPartialOrder",
      "NNReal.instSemilatticeSup",
      "NNReal.instSemiring",
      "NNReal.instZero",
      "NNReal.toReal",
      "NNReal.zero_le_coe._simp_1",
      "Nat",
      "Nat.cast_one",
      "Nat.cast_zero",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCommSemiring",
      "Nat.instNeZeroSucc",
      "Nat.mul",
      "Nat.rawCast",
      "Ne",
      "Ne.symm",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonUnitalAlgHom.mk",
      "NonUnitalAlgHomClass.instLinearMapClass",
      "NonUnitalAlgSemiHomClass.toDistribMulActionSemiHomClass",
      "NonUnitalAlgSemiHomClass.toMulHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toCompleteSpace",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedRing.toMetricSpace",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalSeminormedRing.toIsTopologicalRing",
      "NonUnitalSeminormedRing.toNonUnitalRing",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toSemigroupWithZero",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.instContinuousLinearMapClassComplex",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "NonUnitalStarAlgHom.instStarHomClass",
      "NonUnitalStarAlgHom.mk",
      "NonUnitalStarSubalgebra",
      "NonUnitalStarSubalgebra.instIsTopologicalSemiring",
      "NonUnitalStarSubalgebra.instModule",
      "NonUnitalStarSubalgebra.instNonUnitalSubringClass",
      "NonUnitalStarSubalgebra.instNonUnitalSubsemiringClass",
      "NonUnitalStarSubalgebra.instSMulMemClass",
      "NonUnitalStarSubalgebra.instSetLike",
      "NonUnitalStarSubalgebra.instStarMemClass",
      "NonUnitalStarSubalgebra.mk",
      "NonUnitalStarSubalgebra.nonUnitalCStarAlgebra",
      "NonUnitalStarSubalgebra.toNonUnitalRing",
      "NonUnitalStarSubalgebra.toNonUnitalRing._proof_1",
      "NonUnitalSubalgebra.mk",
      "NonUnitalSubalgebraClass.nonUnitalNormedRing",
      "NonUnitalSubalgebraClass.nonUnitalSeminormedRing._proof_1",
      "NonUnitalSubringClass",
      "NonUnitalSubringClass.addSubgroupClass",
      "NonUnitalSubsemiring.mk",
      "NonUnitalSubsemiringClass",
      "NonUnitalSubsemiringClass.toAddSubmonoidClass",
      "Norm.norm",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toNormedAddGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddGroup.toAddGroup",
      "NormedAddGroup.toNorm",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedField.toField",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedRing.toRing",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "NormedStarGroup",
      "NormedStarGroup.to_continuousStar",
      "Not",
      "Not.intro",
      "OfNat.ofNat",
      "One.toOfNat1",
      "Or",
      "Or.casesOn",
      "OrderBot.toBot",
      "PartialOrder.toPreorder",
      "Pi.single",
      "Pi.single_eq_of_ne",
      "Pi.single_eq_same",
      "PosMulReflectLE.toPosMulReflectLT",
      "PosMulStrictMono.toPosMulReflectLE",
      "PreLp",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.fst",
      "Prod.snd",
      "PseudoEMetricSpace.toUniformSpace",
      "PseudoMetricSpace",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toPseudoEMetricSpace",
      "PseudoMetricSpace.toUniformSpace",
      "Real",
      "Real.commRing",
      "Real.decidableLE",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instCommSemiring",
      "Real.instDivInvMonoid",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMax",
      "Real.instMonoid",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRing",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.linearOrder",
      "Real.metricSpace",
      "Real.mul_self_sqrt",
      "Real.normedCommRing",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sqrt",
      "Real.sqrt_pos",
      "Ring",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toSemiring",
      "RingEquiv.mk",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "SMulMemClass",
      "SMulZeroClass.toSMul",
      "Semifield.toDivisionSemiring",
      "Semigroup.toMul",
      "SemigroupAction.toSMul",
      "SemigroupWithZero.toSemigroup",
      "SemilatticeInf.toPartialOrder",
      "SemilatticeSup.toMax",
      "SemilatticeSup.toPartialOrder",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddGroup.toAddGroup",
      "SeminormedAddGroup.toNNNorm",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toPseudoMetricSpace",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNonAssocSemiring",
      "Set",
      "Set.Finite",
      "Set.Finite.mem_toFinset",
      "Set.Finite.subset",
      "Set.Finite.toFinset",
      "Set.Finite.toFinset.congr_simp",
      "Set.Finite.union",
      "Set.Infinite",
      "Set.Subset.antisymm",
      "Set.finite_empty._simp_1",
      "Set.finite_singleton",
      "Set.fintypeEmpty",
      "Set.instCompl",
      "Set.instEmptyCollection",
      "Set.instHasSubset",
      "Set.instMembership",
      "Set.instSingletonSet",
      "Set.instUnion",
      "Set.mem_singleton_iff",
      "Set.mem_union",
      "Set.mem_univ",
      "Set.not_finite._simp_1",
      "Set.range",
      "Set.toFinite_toFinset",
      "Set.toFinset",
      "Set.toFinset_empty",
      "Set.univ",
      "SetLike.coe",
      "SetLike.instMembership",
      "Singleton.singleton",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgEquiv",
      "StarAlgEquiv.mk",
      "StarHomClass.map_star",
      "StarMemClass",
      "StarMemClass.instStar",
      "StarMemClass.instStarAddMonoid",
      "StarMemClass.instStarRing",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing.toExistsAddOfLE",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StarRingEquiv.mk",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubNegZeroMonoid.toSubNegMonoid",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.ext",
      "Subtype.instDecidableEq",
      "Subtype.mk",
      "Subtype.property",
      "Subtype.pseudoMetricSpace",
      "Subtype.val",
      "Top.top",
      "TopologicalSpace.t2Space_of_metrizableSpace",
      "Topology.IsClosedEmbedding.isClosed_range",
      "Trans.trans",
      "True",
      "UniformSpace.toTopologicalSpace",
      "Union.union",
      "Zero.toOfNat0",
      "ZeroMemClass.zero",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_mul",
      "add_zero",
      "bot_eq_zero'",
      "closure",
      "closure_minimal",
      "congr",
      "congrArg",
      "congrFun",
      "congrFun'",
      "continuous_fst",
      "continuous_mul",
      "continuous_norm",
      "continuous_snd",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "covariant_swap_add_of_covariant_add",
      "dist_eq_norm",
      "dite",
      "div_le_iff₀",
      "div_pos",
      "eq_false",
      "eq_self",
      "eq_true",
      "forall_congr",
      "funext",
      "half_lt_self",
      "half_pos",
      "id",
      "if_neg",
      "if_pos",
      "implies_congr",
      "inferInstance",
      "instAddCommGroupPreLp",
      "instAddNat",
      "instCommCStarAlgebraComplex",
      "instDecidableOr",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instEMetricSpaceSubtype",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instNonUnitalCStarAlgebraSubtypePreLpMemAddSubgroupLpTopENNReal",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instPseudoEMetricSpaceSubtype",
      "instStarRingReal",
      "instTopologicalSpaceProd",
      "instTopologicalSpaceSubtype",
      "instTransEq",
      "instTransLELT",
      "isClosed_eq",
      "isOpen_compl_iff",
      "ite",
      "ite_cond_eq_false",
      "ite_cond_eq_true",
      "le_antisymm",
      "le_max_left",
      "le_of_lt",
      "le_of_not_gt",
      "le_refl",
      "le_total",
      "lp",
      "lp.ext",
      "lp.inftyStarRing",
      "lp.instModuleSubtypePreLpMemAddSubgroup",
      "lp.instMulSubtypePreLpMemAddSubgroupTopENNReal",
      "lp.instNormSubtypePreLpMemAddSubgroup",
      "lp.instStarAddMonoid",
      "lp.instStarSubtypePreLpMemAddSubgroup",
      "lp.nonUnitalNormedRing",
      "lp.nonUnitalRing",
      "lp.norm_apply_le_norm",
      "lp.norm_le_of_forall_le",
      "lp.single",
      "lp.single_add",
      "lp.single_smul",
      "lp.single_zero",
      "lt_of_not_ge",
      "map_add",
      "map_mul",
      "map_smul",
      "map_sub",
      "map_sum",
      "map_zero",
      "max_eq_left",
      "max_eq_right",
      "mul_add",
      "mul_assoc",
      "mul_comm",
      "mul_le_mul_of_nonneg_left",
      "mul_lt_mul_of_pos_right",
      "mul_nonneg_of_nonpos_of_nonpos",
      "mul_pos_of_neg_of_neg",
      "neg_eq_zero",
      "nnnorm_zero",
      "norm_add_le",
      "norm_mul_le",
      "norm_nonneg",
      "norm_pos_iff",
      "norm_smul",
      "norm_star",
      "norm_sub_norm_le",
      "norm_sub_rev",
      "norm_zero",
      "not_false_eq_true",
      "not_le._simp_1",
      "not_le_of_gt",
      "not_lt_of_ge",
      "not_or._simp_2",
      "not_true_eq_false",
      "of_eq_true",
      "one_mul",
      "outParam",
      "pow_two",
      "propext",
      "rfl",
      "setOf",
      "smul_zero",
      "star_sum",
      "star_zero",
      "sub_eq_zero_of_eq",
      "sub_self",
      "sub_zero",
      "zero_add",
      "zero_smul"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.IrreducibleSpectrum": [
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommMagma.toAdd",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddSemigroup.toAdd",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "Algebra.algebraMap",
      "Algebra.commutes",
      "Algebra.smul_def",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.false",
      "Bool.true",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_star_mul_self",
      "CStarRing.to_normedStarGroup",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toRing",
      "CommSemiring.toSemiring",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_sq",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_ofReal",
      "Complex.dist_eq",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCommSemiring",
      "Complex.instDenselyNormedField",
      "Complex.instMul",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instZero",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_sub",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.sq_norm",
      "Continuous",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousLinearMap",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toSemiring",
      "Eq",
      "Eq.mp",
      "Eq.mpr",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "EquivLike.toFunLike",
      "Equivalence",
      "Equivalence.mk",
      "Exists",
      "Exists.casesOn",
      "Exists.intro",
      "False",
      "False.elim",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.comp",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "Function.comp",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "Iff.mp",
      "Iff.mpr",
      "Inner.inner",
      "InnerProductSpace",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Int",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.mul",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.star_eq",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsUniformAddGroup",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LT.lt",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "LinearEquiv",
      "LinearIsometryEquiv",
      "LinearIsometryEquiv.apply_symm_apply",
      "LinearIsometryEquiv.injective",
      "LinearIsometryEquiv.instEquivLike",
      "LinearIsometryEquiv.refl",
      "LinearIsometryEquiv.symm",
      "LinearIsometryEquiv.trans",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.mk",
      "LinearMap.toAddHom",
      "LinearOrder.toPartialOrder",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Membership.mem",
      "Metric.tendsto_nhds",
      "Min.min",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "Mul",
      "MulAction.toSemigroupAction",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat.rawCast",
      "Nat",
      "Nat.ble",
      "Nat.cast_one",
      "Nat.cast_zero",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCommSemiring",
      "Nat.instNeZeroSucc",
      "Nat.instPartialOrder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.mul",
      "Nat.rawCast",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.instFunLike",
      "Nontrivial",
      "NontriviallyNormedField.toNormedField",
      "Norm.norm",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField.toField",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace.complexToReal",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "Not",
      "OfNat.ofNat",
      "One.toOfNat1",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.instAdd",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.toPreGNS",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.fst",
      "Prod.mk",
      "Prod.snd",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toUniformSpace",
      "Quotient",
      "RCLike.im",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.ofReal",
      "RCLike.re",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "Rat.rawCast",
      "Real",
      "Real.commRing",
      "Real.decidableEq",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.lattice",
      "Real.linearOrder",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Ring",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toNonAssocRing",
      "Ring.toSemiring",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomCompTriple.ids",
      "RingHomInvPair.ids",
      "RingHomIsometric.ids",
      "SMulCommClass",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "SemigroupAction.toSMul",
      "SemilatticeInf.toPartialOrder",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "Set",
      "Set.Ioi",
      "Set.extremePoints",
      "Set.instMembership",
      "Setoid",
      "Setoid.mk",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarModule.star_smul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StrongDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.property",
      "Subtype.val",
      "Trans.trans",
      "True",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.toTopologicalSpace",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_snd",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inr_add",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instModule",
      "Unitization.instMul",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStarOrderedRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.toProd",
      "Zero.toOfNat0",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_le",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_mul",
      "add_zero",
      "congr",
      "congrArg",
      "congrFun'",
      "congr_arg₂",
      "continuous_norm",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "covariant_swap_add_of_covariant_add",
      "div_one",
      "div_pos",
      "eq_self",
      "funext",
      "ge_iff_le._simp_1",
      "id",
      "inferInstance",
      "instAddNat",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instInnerProductSpaceRealComplex",
      "instIsCancelMulZero",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instLENat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instSMulOfMul",
      "instStarRingReal",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "isOpen_Ioi",
      "le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "lt_min",
      "lt_of_not_ge",
      "map_add",
      "map_mul",
      "map_smul",
      "map_sub",
      "map_zero",
      "min_le_left",
      "min_le_right",
      "mul_add",
      "mul_le_mul",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_neg",
      "mul_nonneg",
      "mul_one",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_star_self_nonneg._simp_1",
      "neg_eq_zero",
      "neg_mul",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_smul",
      "neg_sub",
      "nhds",
      "norm_add_le",
      "norm_algebraMap'",
      "norm_inner_le_norm",
      "norm_mul_le",
      "norm_nonneg",
      "norm_norm",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "of_decide_eq_true",
      "of_eq_true",
      "one_mul",
      "one_ne_zero",
      "openSegment",
      "pow_one",
      "pow_two",
      "propext",
      "rfl",
      "setOf",
      "smulCommClass_self",
      "smul_mul_smul_comm",
      "sq_abs",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_one",
      "star_star",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_nonneg",
      "sub_nonneg._simp_1",
      "sub_nonpos",
      "sub_self",
      "zero_add",
      "zero_le_one"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.IsCompactOperatorModel": [
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommMonoid.toAddMonoid",
      "AddGroup.toSubNegMonoid",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddSemigroup.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "And",
      "CommCStarAlgebra.toNormedCommRing",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CompleteSpace",
      "Complex",
      "Complex.commRing",
      "Complex.instNormedField",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instZero",
      "ContinuousAdd",
      "ContinuousConstSMul",
      "ContinuousLinearMap",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.ring",
      "DFunLike.coe",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribSMul.toSMulZeroClass",
      "Eq",
      "Exists",
      "Function.Injective",
      "InnerProductSpace",
      "InnerProductSpace.toNormedSpace",
      "InvolutiveStar.toStar",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCompactOperator",
      "IsTopologicalAddGroup",
      "Module.toDistribMulAction",
      "Monoid.toSemigroup",
      "MulAction.toSemigroupAction",
      "NegZeroClass.toZero",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.instFunLike",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedCommRing.toSeminormedCommRing",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "PseudoMetricSpace.toUniformSpace",
      "Ring.toNonAssocRing",
      "RingHom.id",
      "SMulCommClass",
      "SMulZeroClass.toSMul",
      "SemigroupAction.toSMul",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toPseudoMetricSpace",
      "Semiring.toMonoid",
      "Semiring.toNonAssocSemiring",
      "StarAddMonoid.toInvolutiveStar",
      "StarRing.toStarAddMonoid",
      "SubNegMonoid.toAddMonoid",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace.toTopologicalSpace",
      "instCommCStarAlgebraComplex",
      "smulCommClass_self"
    ],
    "MathlibAnnex.Analysis.CStarAlgebra.PrimitiveSpectrum": [
      "AddCommGroup.toAddCommMonoid",
      "AddCommGroup.toAddGroup",
      "AddCommGroup.toDivisionAddCommMonoid",
      "AddCommMagma.toAdd",
      "AddCommMonoid.toAddCommSemigroup",
      "AddCommMonoid.toAddMonoid",
      "AddCommMonoidWithOne.toAddMonoidWithOne",
      "AddCommSemigroup.toAddCommMagma",
      "AddGroup.toSubNegMonoid",
      "AddGroup.toSubtractionMonoid",
      "AddGroupWithOne.toAddGroup",
      "AddGroupWithOne.toAddMonoidWithOne",
      "AddHom.mk",
      "AddHom.toFun",
      "AddLeftCancelSemigroup.toIsLeftCancelAdd",
      "AddMonoid.toAddSemigroup",
      "AddMonoid.toAddZeroClass",
      "AddMonoid.toZero",
      "AddMonoidHom",
      "AddMonoidHom.instFunLike",
      "AddMonoidHomClass.toZeroHomClass",
      "AddMonoidWithOne",
      "AddMonoidWithOne.toAddMonoid",
      "AddMonoidWithOne.toNatCast",
      "AddMonoidWithOne.toOne",
      "AddSemigroup.toAdd",
      "AddTorsor.nonempty",
      "AddZero.mk",
      "AddZero.toAdd",
      "AddZero.toZero",
      "AddZeroClass.toAddZero",
      "Algebra.algebraMap",
      "Algebra.commutes",
      "Algebra.smul_def",
      "Algebra.toModule",
      "Algebra.toSMul",
      "Algebra.to_smulCommClass",
      "And",
      "And.casesOn",
      "And.intro",
      "And.left",
      "And.right",
      "Bool",
      "Bool.false",
      "Bool.true",
      "CStarAlgebra",
      "CStarAlgebra.approximateUnit",
      "CStarAlgebra.increasingApproximateUnit",
      "CStarAlgebra.instNeBotApproximateUnit",
      "CStarAlgebra.norm_le_norm_of_nonneg_of_le",
      "CStarAlgebra.norm_le_one_iff_of_nonneg",
      "CStarAlgebra.pow_antitone",
      "CStarAlgebra.toCStarRing",
      "CStarAlgebra.toNonUnitalCStarAlgebra",
      "CStarAlgebra.toNormedAlgebra",
      "CStarAlgebra.toNormedRing",
      "CStarAlgebra.toStarModule",
      "CStarAlgebra.toStarRing",
      "CStarRing.instNormOneClassOfNontrivial",
      "CStarRing.instRegularNormedAlgebra",
      "CStarRing.norm_star_mul_self",
      "CStarRing.to_normedStarGroup",
      "CommCStarAlgebra.toNonUnitalCommCStarAlgebra",
      "CommCStarAlgebra.toNormedCommRing",
      "CommGroupWithZero",
      "CommGroupWithZero.toDivisionCommMonoid",
      "CommGroupWithZero.toGroupWithZero",
      "CommMagma.toMul",
      "CommMonoid.toMonoid",
      "CommRing.toCommMonoid",
      "CommRing.toRing",
      "CommSemiring.toSemiring",
      "CompleteSpace",
      "Complex",
      "Complex.I",
      "Complex.I_sq",
      "Complex.addCommGroup",
      "Complex.addGroupWithOne",
      "Complex.commRing",
      "Complex.conj_I",
      "Complex.conj_ofReal",
      "Complex.dist_eq",
      "Complex.ext",
      "Complex.im",
      "Complex.instAdd",
      "Complex.instAddCommMonoid",
      "Complex.instCommSemiring",
      "Complex.instDenselyNormedField",
      "Complex.instMul",
      "Complex.instNeg",
      "Complex.instNonUnitalCommRing",
      "Complex.instNontrivial",
      "Complex.instNorm",
      "Complex.instNormedAddCommGroup",
      "Complex.instNormedField",
      "Complex.instOne",
      "Complex.instRCLike",
      "Complex.instRing",
      "Complex.instSemiring",
      "Complex.instStarRing",
      "Complex.instSub",
      "Complex.instZero",
      "Complex.mul_im",
      "Complex.mul_re",
      "Complex.normSq",
      "Complex.normSq_apply",
      "Complex.norm_real",
      "Complex.ofReal",
      "Complex.ofReal_neg",
      "Complex.ofReal_one",
      "Complex.ofReal_pow",
      "Complex.ofReal_sub",
      "Complex.partialOrder",
      "Complex.re",
      "Complex.re_le_norm",
      "Complex.sq_norm",
      "Continuous",
      "Continuous.add",
      "Continuous.comp",
      "Continuous.tendsto",
      "ContinuousAdd",
      "ContinuousConstSMul",
      "ContinuousConstSMul.continuous_const_smul",
      "ContinuousLinearMap",
      "ContinuousLinearMap.addCommGroup._proof_6",
      "ContinuousLinearMap.addCommMonoid",
      "ContinuousLinearMap.algebra",
      "ContinuousLinearMap.continuous",
      "ContinuousLinearMap.continuousSemilinearMapClass",
      "ContinuousLinearMap.distribMulAction",
      "ContinuousLinearMap.exists_lt_apply_of_lt_opNorm",
      "ContinuousLinearMap.funLike",
      "ContinuousLinearMap.hasOpNorm",
      "ContinuousLinearMap.instSMul",
      "ContinuousLinearMap.instStarId",
      "ContinuousLinearMap.le_opNorm",
      "ContinuousLinearMap.map_smul_of_tower",
      "ContinuousLinearMap.mk",
      "ContinuousLinearMap.opNorm_le_bound",
      "ContinuousLinearMap.ring",
      "ContinuousLinearMap.semiring",
      "ContinuousLinearMap.toLinearMap",
      "ContinuousSemilinearMapClass.toSemilinearMapClass",
      "DFinsupp.instEquivLikeLinearEquiv",
      "DFunLike.coe",
      "Decidable.byContradiction",
      "Decidable.decide",
      "DenselyNormedField.toNontriviallyNormedField",
      "DenselyNormedField.toNormedField",
      "Dist.dist",
      "Distrib.leftDistribClass",
      "Distrib.rightDistribClass",
      "Distrib.toAdd",
      "Distrib.toMul",
      "DistribLattice.toLattice",
      "DistribMulAction.toDistribSMul",
      "DistribMulAction.toMulAction",
      "DistribMulActionSemiHomClass.toAddMonoidHomClass",
      "DistribSMul.toSMulZeroClass",
      "DivInvMonoid.toDiv",
      "DivInvOneMonoid.toInvOneClass",
      "DivisionCommMonoid.toDivisionMonoid",
      "DivisionMonoid.toDivInvOneMonoid",
      "DivisionRing.toDivInvMonoid",
      "DivisionRing.toRing",
      "DivisionSemiring.toGroupWithZero",
      "DivisionSemiring.toSemiring",
      "Eq",
      "Eq.mp",
      "Eq.mpr",
      "Eq.rec",
      "Eq.refl",
      "Eq.symm",
      "Eq.trans",
      "EquivLike.toFunLike",
      "Exists",
      "Exists.casesOn",
      "False",
      "False.elim",
      "Field.toCommRing",
      "Field.toDivisionRing",
      "Field.toSemifield",
      "Filter",
      "Filter.Eventually",
      "Filter.IsApproximateUnit.tendsto_mul_left",
      "Filter.IsIncreasingApproximateUnit.eventually_nonneg",
      "Filter.IsIncreasingApproximateUnit.eventually_norm",
      "Filter.IsIncreasingApproximateUnit.toIsApproximateUnit",
      "Filter.Tendsto",
      "Filter.Tendsto.add",
      "Filter.Tendsto.comp",
      "Filter.mp_mem",
      "Filter.univ_mem'",
      "FloorRing.toFloorSemiring",
      "FloorSemiring.instCharZero",
      "Function.comp",
      "GT.gt",
      "GroupWithZero",
      "GroupWithZero.toDivInvMonoid",
      "GroupWithZero.toDivisionMonoid",
      "GroupWithZero.toMonoidWithZero",
      "GroupWithZero.toNontrivial",
      "HAdd.hAdd",
      "HDiv.hDiv",
      "HMul.hMul",
      "HPow.hPow",
      "HSMul.hSMul",
      "HSub.hSub",
      "HasDistribNeg.toInvolutiveNeg",
      "Iff.mp",
      "Iff.mpr",
      "Inner.inner",
      "InnerProductSpace",
      "InnerProductSpace.toInner",
      "InnerProductSpace.toNormedSpace",
      "Int",
      "Int.instDecidableEq",
      "Int.instNegInt",
      "Int.mul",
      "Int.negOfNat",
      "Int.ofNat",
      "Int.rawCast",
      "Inv.inv",
      "InvOneClass.toInv",
      "InvOneClass.toOne",
      "InvolutiveNeg.toNeg",
      "InvolutiveStar.toStar",
      "IsBoundedSMul.toUniformContinuousConstSMul",
      "IsCancelMulZero.toIsLeftCancelMulZero",
      "IsLeftCancelAdd.addLeftReflectLE_of_addLeftReflectLT",
      "IsOpen.mem_nhds",
      "IsOrderedAddMonoid.toAddLeftMono",
      "IsOrderedAddMonoid.toIsOrderedCancelAddMonoid",
      "IsOrderedCancelAddMonoid.toIsOrderedAddMonoid",
      "IsOrderedRing.toMulPosMono",
      "IsOrderedRing.toPosMulMono",
      "IsRightCancelAdd.addRightStrictMono_of_addRightMono",
      "IsScalarTower",
      "IsScalarTower.complexToReal",
      "IsScalarTower.left",
      "IsScalarTower.right",
      "IsScalarTower.to_smulCommClass'",
      "IsSelfAdjoint",
      "IsSelfAdjoint.le_algebraMap_norm_self",
      "IsSelfAdjoint.norm_mul_self",
      "IsSelfAdjoint.star_eq",
      "IsSemitopologicalRing.toIsSemitopologicalSemiring",
      "IsSemitopologicalSemiring.toContinuousAdd",
      "IsSemitopologicalSemiring.toSeparatelyContinuousMul",
      "IsStrictOrderedRing.toMulPosStrictMono",
      "IsStrictOrderedRing.toPosMulStrictMono",
      "IsTopologicalAddGroup",
      "IsTopologicalAddGroup.toContinuousAdd",
      "IsTopologicalDivisionRing.toIsTopologicalRing",
      "IsTopologicalRing.toIsSemitopologicalRing",
      "IsUniformAddGroup",
      "LE.le",
      "LE.le.isSelfAdjoint",
      "LE.le.trans",
      "LT.lt",
      "LT.lt.trans_le",
      "Lattice.toSemilatticeInf",
      "LinearEquiv",
      "LinearMap",
      "LinearMap.IsScalarTower.compatibleSMul",
      "LinearMap.mk",
      "LinearMap.toAddHom",
      "LinearOrder.toPartialOrder",
      "List.nil",
      "Mathlib.Meta.NormNum.IsInt.of_raw",
      "Mathlib.Meta.NormNum.IsInt.to_isNat",
      "Mathlib.Meta.NormNum.IsInt.to_isRat",
      "Mathlib.Meta.NormNum.IsInt.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNNRat.den_nz",
      "Mathlib.Meta.NormNum.IsNNRat.of_raw",
      "Mathlib.Meta.NormNum.IsNNRat.to_eq",
      "Mathlib.Meta.NormNum.IsNNRat.to_isNat",
      "Mathlib.Meta.NormNum.IsNNRat.to_isRat",
      "Mathlib.Meta.NormNum.IsNNRat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsNat.mk",
      "Mathlib.Meta.NormNum.IsNat.of_raw",
      "Mathlib.Meta.NormNum.IsNat.to_isInt",
      "Mathlib.Meta.NormNum.IsNat.to_isNNRat",
      "Mathlib.Meta.NormNum.IsNat.to_raw_eq",
      "Mathlib.Meta.NormNum.IsRat.den_nz",
      "Mathlib.Meta.NormNum.IsRat.of_raw",
      "Mathlib.Meta.NormNum.IsRat.to_isInt",
      "Mathlib.Meta.NormNum.IsRat.to_raw_eq",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne",
      "Mathlib.Meta.NormNum.instAddMonoidWithOne'",
      "Mathlib.Meta.NormNum.instAtLeastTwo",
      "Mathlib.Meta.NormNum.isInt_add",
      "Mathlib.Meta.NormNum.isInt_mul",
      "Mathlib.Meta.NormNum.isInt_neg",
      "Mathlib.Meta.NormNum.isNNRat_div",
      "Mathlib.Meta.NormNum.isNNRat_inv_pos",
      "Mathlib.Meta.NormNum.isNNRat_lt_true",
      "Mathlib.Meta.NormNum.isNNRat_mul",
      "Mathlib.Meta.NormNum.isNat_add",
      "Mathlib.Meta.NormNum.isNat_eq_false",
      "Mathlib.Meta.NormNum.isNat_eq_true",
      "Mathlib.Meta.NormNum.isNat_le_true",
      "Mathlib.Meta.NormNum.isNat_lt_true",
      "Mathlib.Meta.NormNum.isNat_mul",
      "Mathlib.Meta.NormNum.isNat_ofNat",
      "Mathlib.Meta.NormNum.isRat_mul",
      "Mathlib.Meta.Positivity.pos_of_isNat",
      "Mathlib.Tactic.CancelDenoms.derive_trans",
      "Mathlib.Tactic.CancelDenoms.div_subst",
      "Mathlib.Tactic.CancelDenoms.sub_subst",
      "Mathlib.Tactic.FieldSimp.NF.atom_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.cons",
      "Mathlib.Tactic.FieldSimp.NF.cons_eq_div_of_eq_div",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.div_eq_eval₁",
      "Mathlib.Tactic.FieldSimp.NF.eval",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_cons_of_pow_eq_zero",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons",
      "Mathlib.Tactic.FieldSimp.NF.eval_mul_eval_cons_zero",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₂",
      "Mathlib.Tactic.FieldSimp.NF.mul_eq_eval₃",
      "Mathlib.Tactic.FieldSimp.NF.one_div_eq_eval",
      "Mathlib.Tactic.FieldSimp.NF.one_eq_eval",
      "Mathlib.Tactic.FieldSimp.eq_div_of_eq_one_of_subst",
      "Mathlib.Tactic.FieldSimp.eq_eq_cancel_eq",
      "Mathlib.Tactic.FieldSimp.eq_mul_of_eq_eq_eq_mul",
      "Mathlib.Tactic.FieldSimp.subst_add",
      "Mathlib.Tactic.FieldSimp.zpow'",
      "Mathlib.Tactic.FieldSimp.zpow'_one",
      "Mathlib.Tactic.Linarith.add_lt_of_le_of_neg",
      "Mathlib.Tactic.Linarith.add_lt_of_neg_of_le",
      "Mathlib.Tactic.Linarith.add_neg",
      "Mathlib.Tactic.Linarith.lt_irrefl",
      "Mathlib.Tactic.Linarith.lt_of_lt_of_eq",
      "Mathlib.Tactic.Linarith.mul_neg",
      "Mathlib.Tactic.Linarith.mul_nonpos",
      "Mathlib.Tactic.Linarith.sub_neg_of_lt",
      "Mathlib.Tactic.Linarith.sub_nonpos_of_le",
      "Mathlib.Tactic.Linarith.zero_lt_one",
      "Mathlib.Tactic.Ring.Common.add_congr",
      "Mathlib.Tactic.Ring.Common.add_mul",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf",
      "Mathlib.Tactic.Ring.Common.add_overlap_pf_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_gt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_lt",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap",
      "Mathlib.Tactic.Ring.Common.add_pf_add_overlap_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_add_zero",
      "Mathlib.Tactic.Ring.Common.add_pf_zero_add",
      "Mathlib.Tactic.Ring.Common.atom_pf",
      "Mathlib.Tactic.Ring.Common.coeff_one",
      "Mathlib.Tactic.Ring.Common.div_congr",
      "Mathlib.Tactic.Ring.Common.div_pf",
      "Mathlib.Tactic.Ring.Common.inv_mul",
      "Mathlib.Tactic.Ring.Common.inv_single",
      "Mathlib.Tactic.Ring.Common.mul_add",
      "Mathlib.Tactic.Ring.Common.mul_congr",
      "Mathlib.Tactic.Ring.Common.mul_pf_left",
      "Mathlib.Tactic.Ring.Common.mul_pf_right",
      "Mathlib.Tactic.Ring.Common.mul_pow_mul",
      "Mathlib.Tactic.Ring.Common.mul_pp_pf_overlap",
      "Mathlib.Tactic.Ring.Common.mul_zero",
      "Mathlib.Tactic.Ring.Common.neg_add",
      "Mathlib.Tactic.Ring.Common.neg_congr",
      "Mathlib.Tactic.Ring.Common.neg_mul",
      "Mathlib.Tactic.Ring.Common.neg_zero",
      "Mathlib.Tactic.Ring.Common.one_pow",
      "Mathlib.Tactic.Ring.Common.pow_add",
      "Mathlib.Tactic.Ring.Common.pow_bit0",
      "Mathlib.Tactic.Ring.Common.pow_congr",
      "Mathlib.Tactic.Ring.Common.pow_nat",
      "Mathlib.Tactic.Ring.Common.pow_one",
      "Mathlib.Tactic.Ring.Common.pow_one_cast_of_isNat",
      "Mathlib.Tactic.Ring.Common.pow_zero",
      "Mathlib.Tactic.Ring.Common.single_pow",
      "Mathlib.Tactic.Ring.Common.sub_congr",
      "Mathlib.Tactic.Ring.Common.sub_pf",
      "Mathlib.Tactic.Ring.Common.zero_mul",
      "Mathlib.Tactic.Ring.cast_pos",
      "Mathlib.Tactic.Ring.cast_zero",
      "Mathlib.Tactic.Ring.of_eq",
      "Mathlib.Tactic.RingNF.mul_assoc_rev",
      "Mathlib.Tactic.RingNF.nat_rawCast_1",
      "Membership.mem",
      "Metric.tendsto_nhds",
      "Min.min",
      "Module.toDistribMulAction",
      "Module.toMulActionWithZero",
      "Monoid.toMulOneClass",
      "Monoid.toPow",
      "Monoid.toSemigroup",
      "MonoidHom.id",
      "MonoidWithZero.toMonoid",
      "MonoidWithZero.toMulZeroOneClass",
      "MonoidWithZeroHom",
      "MonoidWithZeroHom.funLike",
      "Mul",
      "MulAction.toSemigroupAction",
      "MulActionWithZero.toSMulWithZero",
      "MulOne.toMul",
      "MulOne.toOne",
      "MulOneClass.toMulOne",
      "MulZeroClass.mul_zero",
      "MulZeroClass.toMul",
      "MulZeroClass.toZero",
      "MulZeroOneClass.toMulOneClass",
      "MulZeroOneClass.toMulZeroClass",
      "NNRat.rawCast",
      "Nat",
      "Nat.ble",
      "Nat.cast_one",
      "Nat.cast_zero",
      "Nat.instAddMonoidWithOne",
      "Nat.instAtLeastTwoHAddOfNat",
      "Nat.instCommSemiring",
      "Nat.instNeZeroSucc",
      "Nat.instPartialOrder",
      "Nat.instSemiring",
      "Nat.instStarOrderedRing",
      "Nat.instStarRing",
      "Nat.mul",
      "Nat.rawCast",
      "NeZero.one",
      "Neg.neg",
      "NegZeroClass.toNeg",
      "NegZeroClass.toZero",
      "NonAssocRing.toNonUnitalNonAssocRing",
      "NonAssocSemiring.toAddCommMonoidWithOne",
      "NonAssocSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalAlgHomClass.toNonUnitalRingHomClass",
      "NonUnitalCStarAlgebra",
      "NonUnitalCStarAlgebra.toCStarRing",
      "NonUnitalCStarAlgebra.toIsScalarTower",
      "NonUnitalCStarAlgebra.toNonUnitalNormedRing",
      "NonUnitalCStarAlgebra.toNormedSpace",
      "NonUnitalCStarAlgebra.toSMulCommClass",
      "NonUnitalCStarAlgebra.toStarRing",
      "NonUnitalCommCStarAlgebra.toNonUnitalCStarAlgebra",
      "NonUnitalCommRing.toNonUnitalCommSemiring",
      "NonUnitalCommRing.toNonUnitalNonAssocCommRing",
      "NonUnitalCommSemiring.toNonUnitalSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocCommSemiring",
      "NonUnitalNonAssocCommRing.toNonUnitalNonAssocRing",
      "NonUnitalNonAssocCommSemiring.toCommMagma",
      "NonUnitalNonAssocCommSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocRing.toAddCommGroup",
      "NonUnitalNonAssocRing.toHasDistribNeg",
      "NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring",
      "NonUnitalNonAssocSemiring.toAddCommMonoid",
      "NonUnitalNonAssocSemiring.toDistrib",
      "NonUnitalNonAssocSemiring.toDistribSMul",
      "NonUnitalNonAssocSemiring.toMulZeroClass",
      "NonUnitalNormedCommRing.toNonUnitalCommRing",
      "NonUnitalNormedRing.toNonUnitalRing",
      "NonUnitalNormedRing.toNonUnitalSeminormedRing",
      "NonUnitalNormedRing.toNorm",
      "NonUnitalNormedRing.toNormedAddCommGroup",
      "NonUnitalRing.toNonUnitalNonAssocRing",
      "NonUnitalRing.toNonUnitalSemiring",
      "NonUnitalRingHomClass",
      "NonUnitalRingHomClass.toMulHomClass",
      "NonUnitalSeminormedCommRing.toNonUnitalSeminormedRing",
      "NonUnitalSeminormedRing.toPseudoMetricSpace",
      "NonUnitalSeminormedRing.toSeminormedAddCommGroup",
      "NonUnitalSemiring.toNonUnitalNonAssocSemiring",
      "NonUnitalStarAlgHom",
      "NonUnitalStarAlgHom.comp",
      "NonUnitalStarAlgHom.instFunLike",
      "NonUnitalStarAlgHom.instNonUnitalAlgHomClass",
      "Nontrivial",
      "NontriviallyNormedField.toNormedField",
      "Norm.norm",
      "NormOneClass.norm_one",
      "NormedAddCommGroup",
      "NormedAddCommGroup.toAddCommGroup",
      "NormedAddCommGroup.toNorm",
      "NormedAddCommGroup.toSeminormedAddCommGroup",
      "NormedAddTorsor.toAddTorsor",
      "NormedAlgebra.complexToReal",
      "NormedAlgebra.toAlgebra",
      "NormedAlgebra.toNormedSpace",
      "NormedCommRing.toNonUnitalNormedCommRing",
      "NormedCommRing.toSeminormedCommRing",
      "NormedDivisionRing.toDivisionRing",
      "NormedDivisionRing.toNormMulClass",
      "NormedDivisionRing.to_isTopologicalDivisionRing",
      "NormedDivisionRing.to_normOneClass",
      "NormedField.toField",
      "NormedField.toNorm",
      "NormedField.toNormedCommRing",
      "NormedField.toNormedDivisionRing",
      "NormedRing.toNorm",
      "NormedRing.toRing",
      "NormedRing.toSeminormedRing",
      "NormedSpace.complexToReal",
      "NormedSpace.toIsBoundedSMul",
      "NormedSpace.toModule",
      "NormedSpace.toNormSMulClass",
      "Not",
      "OfNat.ofNat",
      "One.toOfNat1",
      "PartialOrder",
      "PartialOrder.toPreorder",
      "Pi.instAdd",
      "PositiveLinearMap",
      "PositiveLinearMap.GNS",
      "PositiveLinearMap.PreGNS",
      "PositiveLinearMap.gnsStarAlgHom",
      "PositiveLinearMap.instAddCommGroupPreGNS",
      "PositiveLinearMap.instInnerProductSpaceComplexPreGNS",
      "PositiveLinearMap.instModuleComplexPreGNS",
      "PositiveLinearMap.instSeminormedAddCommGroupPreGNS",
      "PositiveLinearMap.mk",
      "PositiveLinearMap.mk₀",
      "PositiveLinearMap.toPreGNS",
      "Preorder.toLE",
      "Preorder.toLT",
      "Prod",
      "Prod.fst",
      "Prod.mk",
      "Prod.snd",
      "PseudoMetricSpace.toDist",
      "PseudoMetricSpace.toUniformSpace",
      "RCLike.im",
      "RCLike.instOrderClosedTopology",
      "RCLike.nonneg_iff",
      "RCLike.ofReal",
      "RCLike.re",
      "RCLike.real_smul_eq_coe_smul",
      "RCLike.toDenselyNormedField",
      "RCLike.toIsOrderedAddMonoid",
      "RCLike.toNormedAlgebra",
      "RCLike.toPartialOrder",
      "RCLike.toPosMulReflectLT",
      "Rat.rawCast",
      "Real",
      "Real.commRing",
      "Real.decidableEq",
      "Real.instAdd",
      "Real.instAddCommGroup",
      "Real.instAddCommMonoid",
      "Real.instAddCommSemigroup",
      "Real.instAddGroup",
      "Real.instAddLeftCancelSemigroup",
      "Real.instAddMonoid",
      "Real.instCommMonoid",
      "Real.instCommSemiring",
      "Real.instDivInvMonoid",
      "Real.instDivisionRing",
      "Real.instField",
      "Real.instFloorRing",
      "Real.instIsOrderedAddMonoid",
      "Real.instIsOrderedRing",
      "Real.instIsStrictOrderedRing",
      "Real.instLE",
      "Real.instLT",
      "Real.instMin",
      "Real.instMonoid",
      "Real.instMonoidWithZero",
      "Real.instMul",
      "Real.instNatCast",
      "Real.instNeg",
      "Real.instNontrivial",
      "Real.instOne",
      "Real.instPreorder",
      "Real.instRCLike",
      "Real.instRing",
      "Real.instStarOrderedRing",
      "Real.instSub",
      "Real.instZero",
      "Real.instZeroLEOneClass",
      "Real.lattice",
      "Real.linearOrder",
      "Real.norm",
      "Real.norm_eq_abs",
      "Real.normedCommRing",
      "Real.normedField",
      "Real.partialOrder",
      "Real.pseudoMetricSpace",
      "Real.semiring",
      "Real.sq_sqrt",
      "Real.sqrt",
      "Real.sqrt_nonneg",
      "Ring",
      "Ring.toAddCommGroup",
      "Ring.toAddGroupWithOne",
      "Ring.toNonAssocRing",
      "Ring.toSemiring",
      "RingHom",
      "RingHom.id",
      "RingHom.instFunLike",
      "RingHom.instRingHomClass",
      "RingHomClass.toNonUnitalRingHomClass",
      "RingHomInvPair.ids",
      "RingHomIsometric.ids",
      "SMulCommClass",
      "SMulWithZero.toSMulZeroClass",
      "SMulZeroClass.toSMul",
      "Semifield.toCommGroupWithZero",
      "Semifield.toCommSemiring",
      "Semifield.toDivisionSemiring",
      "SemigroupAction.toSMul",
      "SemilatticeInf.toPartialOrder",
      "SemilinearMapClass.distribMulActionSemiHomClass",
      "SemilinearMapClass.toAddHomClass",
      "SemilinearMapClass.toMulActionSemiHomClass",
      "SeminormedAddCommGroup.toAddCommGroup",
      "SeminormedAddCommGroup.toIsTopologicalAddGroup",
      "SeminormedAddCommGroup.toNorm",
      "SeminormedAddCommGroup.toNormedAddTorsor",
      "SeminormedAddCommGroup.toPseudoMetricSpace",
      "SeminormedAddCommGroup.toSeminormedAddGroup",
      "SeminormedAddCommGroup.to_isUniformAddGroup",
      "SeminormedAddGroup.toNorm",
      "SeminormedAddGroup.toPseudoMetricSpace",
      "SeminormedCommRing.toNonUnitalSeminormedCommRing",
      "SeminormedCommRing.toSeminormedRing",
      "SeminormedRing.toNonUnitalSeminormedRing",
      "SeminormedRing.toNorm",
      "SeminormedRing.toPseudoMetricSpace",
      "SeminormedRing.toRing",
      "Semiring.toAddCommMonoid",
      "Semiring.toModule",
      "Semiring.toMonoid",
      "Semiring.toMonoidWithZero",
      "Semiring.toNonAssocSemiring",
      "Semiring.toNonUnitalSemiring",
      "SeparatelyContinuousMul.to_continuousSMul",
      "Set",
      "Set.Ioi",
      "Set.extremePoints",
      "Set.instMembership",
      "Set.range",
      "SetLike.coe",
      "Star.star",
      "StarAddMonoid.star_add",
      "StarAddMonoid.toInvolutiveStar",
      "StarAlgHom.toNonUnitalStarAlgHom",
      "StarModule.star_smul",
      "StarMul.toInvolutiveStar",
      "StarOrderedRing",
      "StarOrderedRing.toExistsAddOfLE",
      "StarOrderedRing.toIsOrderedAddMonoid",
      "StarOrderedRing.toIsOrderedRing",
      "StarRing.toStarAddMonoid",
      "StarRing.toStarMul",
      "StrongDual",
      "SubNegMonoid.toAddMonoid",
      "SubNegMonoid.toSub",
      "SubNegZeroMonoid.toNegZeroClass",
      "SubtractionCommMonoid.toSubtractionMonoid",
      "SubtractionMonoid.toSubNegMonoid",
      "SubtractionMonoid.toSubNegZeroMonoid",
      "Subtype",
      "Subtype.property",
      "Subtype.val",
      "Trans.trans",
      "True",
      "TwoSidedIdeal",
      "TwoSidedIdeal.ker",
      "TwoSidedIdeal.setLike",
      "UniformContinuousConstSMul",
      "UniformContinuousConstSMul.to_continuousConstSMul",
      "UniformSpace.Completion",
      "UniformSpace.Completion.addGroup",
      "UniformSpace.Completion.completeSpace",
      "UniformSpace.Completion.innerProductSpace",
      "UniformSpace.Completion.instAddCommGroup",
      "UniformSpace.Completion.instIsScalarTower",
      "UniformSpace.Completion.instModule",
      "UniformSpace.Completion.instNormedAddCommGroup",
      "UniformSpace.Completion.instSMul",
      "UniformSpace.Completion.instSMulCommClassOfUniformContinuousConstSMul",
      "UniformSpace.Completion.instUniformContinuousConstSMul",
      "UniformSpace.Completion.uniformSpace",
      "UniformSpace.toTopologicalSpace",
      "Unitization",
      "Unitization.continuous_fst",
      "Unitization.continuous_snd",
      "Unitization.ind",
      "Unitization.inl",
      "Unitization.inl_mul_inr",
      "Unitization.inr",
      "Unitization.inrNonUnitalStarAlgHom",
      "Unitization.inr_add",
      "Unitization.inr_le_iff",
      "Unitization.inr_mul",
      "Unitization.inr_nonneg_iff",
      "Unitization.inr_smul",
      "Unitization.instAdd",
      "Unitization.instAddCommMonoid",
      "Unitization.instCStarAlgebra",
      "Unitization.instCStarAlgebra._proof_1",
      "Unitization.instModule",
      "Unitization.instMul",
      "Unitization.instNontrivialLeft",
      "Unitization.instNormedRing",
      "Unitization.instOne",
      "Unitization.instPartialOrder",
      "Unitization.instSMul",
      "Unitization.instSemiring",
      "Unitization.instStarOrderedRing",
      "Unitization.instUniformSpace",
      "Unitization.instZero",
      "Unitization.norm_inr",
      "Unitization.toProd",
      "Zero.toOfNat0",
      "_private.Mathlib.Data.Real.Basic.0.Real.lt",
      "abs",
      "abs_le",
      "abs_of_nonneg",
      "abs_of_nonpos",
      "addRightReflectLE_of_addLeftReflectLE",
      "add_add_neg_add_cancel",
      "add_mul",
      "add_zero",
      "congr",
      "congrArg",
      "congrFun'",
      "congr_arg₂",
      "continuous_norm",
      "contravariant_lt_of_covariant_le",
      "contravariant_swap_add_of_contravariant_add",
      "covariant_swap_add_of_covariant_add",
      "div_one",
      "div_pos",
      "eq_self",
      "funext",
      "ge_iff_le._simp_1",
      "id",
      "inferInstance",
      "instAddNat",
      "instClosedIicTopology",
      "instCommCStarAlgebraComplex",
      "instDistribLatticeOfLinearOrder",
      "instDistribOfSemiring",
      "instHAdd",
      "instHDiv",
      "instHMul",
      "instHPow",
      "instHSMul",
      "instHSub",
      "instInnerProductSpaceRealComplex",
      "instIsCancelMulZero",
      "instIsRightCancelAddOfAddRightReflectLE",
      "instLENat",
      "instMulZeroClassOfSemiring",
      "instMulZeroOneClassOfSemiring",
      "instNeZeroNatHAdd_1",
      "instOfNat",
      "instOfNatAtLeastTwo",
      "instOfNatNat",
      "instSMulOfMul",
      "instStarRingReal",
      "instTransEq",
      "instTransEq_1",
      "instTransLE",
      "isOpen_Ioi",
      "le_of_eq",
      "le_of_lt",
      "le_of_not_gt",
      "le_of_tendsto",
      "lt_min",
      "lt_of_not_ge",
      "map_add",
      "map_mul",
      "map_smul",
      "map_sub",
      "map_zero",
      "min_le_left",
      "min_le_right",
      "mul_add",
      "mul_le_mul",
      "mul_le_mul_of_nonneg_left",
      "mul_le_mul_of_nonneg_right",
      "mul_neg",
      "mul_nonneg",
      "mul_one",
      "mul_pos_of_neg_of_neg",
      "mul_pow",
      "mul_star_self_nonneg._simp_1",
      "neg_eq_zero",
      "neg_mul",
      "neg_neg",
      "neg_neg_of_pos",
      "neg_smul",
      "neg_sub",
      "nhds",
      "norm_add_le",
      "norm_algebraMap'",
      "norm_inner_le_norm",
      "norm_mul_le",
      "norm_nonneg",
      "norm_norm",
      "norm_pow",
      "norm_smul",
      "norm_star",
      "of_decide_eq_true",
      "of_eq_true",
      "one_mul",
      "one_ne_zero",
      "openSegment",
      "pow_one",
      "pow_two",
      "propext",
      "rfl",
      "setOf",
      "smulCommClass_self",
      "smul_mul_smul_comm",
      "sq_abs",
      "sq_le_sq₀",
      "sq_lt_sq₀",
      "star_mul'",
      "star_mul_self_nonneg",
      "star_one",
      "star_star",
      "sub_eq_zero_of_eq",
      "sub_le_self",
      "sub_nonneg",
      "sub_nonneg._simp_1",
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      "zero_add",
      "zero_le_one"
    ]
  },
  "boundary_provider": "Fixed source and provider commits recorded by the release",
  "old61_pairs_exact": true,
  "cycle_check": "PASS",
  "reachability_check": "PASS",
  "new_census": false,
  "source_graph_export": {
    "path": "full-declaration-graph.json",
    "bytes": 53507685,
    "sha256": "6ea92035ad1f67962edb0d701444bd8824a15afcdd84bcc6d2d5b4a02c689e57"
  }
}