The supplied canon source does not contain the module IndisputableMonolith.Cost.FunctionalEquation or any declaration named ode_zero_uniqueness. No theorems, definitions, or proofs from that module appear in the provided Lean modules. The question therefore cannot be answered from the canon slice; the requested explanation of the specific declaration is outside the supplied source.
Explain the Lean theorem `ode_zero_uniqueness` 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.
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outside recognition
- module IndisputableMonolith.Cost.FunctionalEquation
- theorem ode_zero_uniqueness
recognition modules consulted
IndisputableMonolith.Foundation.AlexanderDualityIndisputableMonolith.Foundation.RealityFromDistinctionIndisputableMonolith.Mathematics.LanglandsFromRecognitionCostIndisputableMonolith.Foundation.RecognitionForcingIndisputableMonolith.Foundation.UniversalForcing.Strict.RichDomainCostsIndisputableMonolith.Measurement.RSNative.Calibration.SingleAnchorIndisputableMonolith.Unification.RecognitionBandGeometryIndisputableMonolith.Unification.RecognitionBandwidth