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    "assumptions": "Let A ⊆ B(Hₐₜ) be the fixed unital C*-algebra obtained by adjoining the chosen shell-link unitaries to the atomic representation of the CAR algebra C, and then taking the norm-closed unital *-algebra they generate. Regard A as a closed unital *-subalgebra of B(Hₐₜ), with its inherited algebraic operations.",
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    "assumptions": "Let A ⊆ B(Hₐₜ) be the fixed unital C*-algebra obtained by adjoining the chosen shell-link unitaries to the atomic representation of the CAR algebra C, and then taking the norm-closed unital *-algebra they generate. Regard A as a closed unital *-subalgebra of B(Hₐₜ), with its inherited algebraic operations.",
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      "text": "/-- The fixed faithful irreducible displayed representation of `AtomicCounterexampleAlgebra`. -/\nnoncomputable def atomicCounterexampleRepresentation :\n    Representation AtomicCounterexampleAlgebra\n      (MathlibAnnex.CStarAlgebra.PureState.SelectedAtomicHilbert completedRootPureState) :=\n  shellFamilyInclusion homogeneityShellFamily"
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