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Explain the Lean theorem `cost_algebra_unique` in module `IndisputableMonolith.Algebra.CostAlgebra`. 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.Algebra.CostAlgebra contains no declaration named cost_algebra_unique. The module defines J, SatisfiesRCL, RCL_holds, costCompose, H, ShiftedCarrier, defectDist, and related theorems such as J_at_one, RCL_holds, costCompose_comm, costCompose_assoc_defect, H_dAlembert, and defectDist_quasi_triangle_local, but the requested theorem is absent. No derivation or explanation of cost_algebra_unique is possible from the canon.

outside recognition

Aspects Recognition does not yet address:

  • Declaration `cost_algebra_unique` in IndisputableMonolith.Algebra.CostAlgebra

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.