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Explain the Lean def `H` 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: high outside recognition cached

The supplied source contains no declaration named H (or any def H) in module IndisputableMonolith.Cost.FunctionalEquation. The module IndisputableMonolith.Cost.AczelClass (namespace IndisputableMonolith.Cost.FunctionalEquation) discusses a function H only in docstrings for the d'Alembert equation H(t+u) + H(t-u) = 2 * H t * H u, but defines no such H. No theorems or definitions from the supplied modules can be cited for this request. The specific Lean definition requested is absent from the provided canon slice.

outside recognition

Aspects Recognition does not yet address:

  • def H in IndisputableMonolith.Cost.FunctionalEquation
  • any formal statement or proof involving a declaration named H in the requested module

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.