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Explain the Lean theorem `ode_cosh_uniqueness` in module `IndisputableMonolith.Cost.FunctionalEquation`. Write for an educated reader who knows science and programming but may not know Lean. Cover: (1) what the declaration says in plain English, (2) why it matters in Recognition Science, (3) how to read the formal statement, (4) visible dependencies or certificates in the supplied source, and (5) what this declaration does not prove. Cite only declarations present in the supplied Recognition source.

Big AI job. Grok 4.3 reads the canon and writes a Lean-grounded derivation; usually 20 seconds to 2 minutes. Your answer will appear below.
confidence: low outside recognition cached

The supplied Lean source does not contain the module IndisputableMonolith.Cost.FunctionalEquation or any declaration named ode_cosh_uniqueness. No theorems or definitions from that module appear in the provided modules (AlexanderDuality, RealityFromDistinction, LanglandsFromRecognitionCost, RecognitionForcing, RichDomainCosts, SingleAnchor, RecognitionBandGeometry, or RecognitionBandwidth). The question therefore cannot be answered from the canon slice.

outside recognition

Aspects Recognition does not yet address:

  • The theorem ode_cosh_uniqueness
  • Any content or declarations from module IndisputableMonolith.Cost.FunctionalEquation

recognition modules consulted

The Recognition library is at github.com/jonwashburn/shape-of-logic. The model is restricted to the supplied Lean source and instructed not to invent theorem names. Treat output as a starting point, not a verified proof.