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Explain the Lean def `AgreesOnExp` 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 does not contain the module IndisputableMonolith.Cost or any declaration named AgreesOnExp. Several modules import IndisputableMonolith.Cost (e.g., LanglandsFromRecognitionCost and RecognitionBandwidth) and reference related items such as Jcost and Jcost_symm, but the specific definition is absent. The question therefore cannot be answered from the provided canon slice.

outside recognition

Aspects Recognition does not yet address:

  • Definition of AgreesOnExp in IndisputableMonolith.Cost
  • Full contents of the Cost module
  • Any theorem or certificate directly involving AgreesOnExp

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.