Pith. sign in

Explain the Lean theorem `cosh_satisfies_bootstrap` 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 source for module IndisputableMonolith.Cost.FunctionalEquation contains helper results on the J-cost functional equation and its cosh representation, including theorems such as Jcost_G_eq_cosh_sub_one and Jcost_cosh_add_identity that relate Jcost to cosh via the G reparametrization and establish the CoshAddIdentity. However, no declaration named cosh_satisfies_bootstrap appears in the provided Lean code for this module (or any other supplied module). The specific theorem requested is therefore absent from the canon slice.

outside recognition

Aspects Recognition does not yet address:

  • Declaration `cosh_satisfies_bootstrap` in 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.