Pith. sign in

Explain the Lean theorem `log_phi_in_interval` in module `IndisputableMonolith.Numerics.Interval.Log`. 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 theorem log_phi_in_interval in module IndisputableMonolith.Numerics.Interval.Log is not present in the supplied Lean source. The provided modules establish results on phi forcing, self-similarity, J-cost, inevitability, and zeta bridges but contain no numerics interval module or log-phi interval declaration.

outside recognition

Aspects Recognition does not yet address:

  • log_phi_in_interval
  • IndisputableMonolith.Numerics.Interval.Log

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.