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    "conclusion": "The result of this abbreviation is a proposition consisting of the listed ten source fields. Defining that proposition is distinct from proving it; the counterexample theorem for A supplies the proof.",
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    "natural_language_statement": "For the fixed CAR-based algebra A, its CAR map j: C → A, and its atomic inclusion πₐₜ: A → B(Hₐₜ), define the ordinary counterexample assertion to be the conjunction of the properties listed below.",
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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. Fix the source map j and the ambient inclusion πₐₜ from that same construction. Comparison spaces K are arbitrary complete complex Hilbert spaces in the independent comparison universe; no separability is required.",
    "conclusion": "The result of this abbreviation is a proposition consisting of the listed ten source fields. Defining that proposition is distinct from proving it; the counterexample theorem for A supplies the proof.",
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