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theorem proved term proof

metaRealizationCert_inhabited

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formal statement (Lean)

 198theorem metaRealizationCert_inhabited : Nonempty MetaRealizationCert :=

proof body

Term-mode proof.

 199  ⟨metaRealizationCert⟩
 200
 201/-! ## The Reflexive-Closure Theorem -/
 202
 203/-- **The framework is reflexively closed.**
 204
 205The Universal Forcing Meta-Theorem itself instantiates the Law-of-Logic
 206structural shape: the meta-cost satisfies the three definitional
 207Aristotelian conditions, and the meta-theorem itself supplies the
 208forced-arithmetic-invariance condition. The framework that proves
 209"every Law-of-Logic realization has the same forced arithmetic" is
 210itself a Law-of-Logic-shaped structure on the type of realizations.
 211
 212The forced-arithmetic-invariance condition is wrapped in `Nonempty`
 213because the equivalence is `Type 1`-valued, while the conjunction here
 214is propositional. The Nonempty wrapper is harmless: the equivalence
 215exists for every pair, so its `Nonempty` is trivially inhabited. -/

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