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Explain the Lean def `IsCalibratedLimit` 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 for module IndisputableMonolith.Cost.FunctionalEquation contains no declaration named IsCalibratedLimit. The module defines helpers for the T5 cost uniqueness proof including G, H, CoshAddIdentity, DirectCoshAdd, Jcost_G_eq_cosh_sub_one, Jcost_cosh_add_identity, dAlembert_even, dAlembert_double, HasLogCurvature, dAlembert_continuous_of_log_curvature, and ODE lemmas such as ode_diagonalization, deriv_neg_self_zero, and deriv_pos_self_zero. No IsCalibratedLimit appears.

outside recognition

Aspects Recognition does not yet address:

  • The definition `IsCalibratedLimit`
  • Any formal statement, dependencies, or certificates for `IsCalibratedLimit`
  • Its role or meaning in Recognition Science calibration

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.