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Explain the Lean theorem `EL_stationary_at_zero` in module `IndisputableMonolith.Cost`. 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 modules do not include the module IndisputableMonolith.Cost or any declaration named EL_stationary_at_zero. Modules such as IndisputableMonolith.Mathematics.LanglandsFromRecognitionCost and IndisputableMonolith.Unification.RecognitionBandwidth import from IndisputableMonolith.Cost and reference items like Jcost and Jcost_symm, but the requested theorem is absent. No material in the provided source bears directly on explaining EL_stationary_at_zero.

outside recognition

Aspects Recognition does not yet address:

  • The declaration EL_stationary_at_zero
  • The module IndisputableMonolith.Cost
  • Any formal statement or proof of stationarity at zero for an EL entity

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.