The supplied Lean source does not contain the module IndisputableMonolith.Cost or its declarations. It appears only via imports in other modules (e.g., import IndisputableMonolith.Cost in LanglandsFromRecognitionCost and PhiForcing; import IndisputableMonolith.Cost.FunctionalEquation in AxiomDischargePlan). References to symbols such as Jcost and Jcost_symm occur in LanglandsFromRecognitionCost, but no definitions or theorems from Cost itself are present. The module's role in the forcing chain (T5, J-cost uniqueness) is outside this slice. The supplied source therefore provides no material for a module-level guide to IndisputableMonolith.Cost.
Explain the Lean module `IndisputableMonolith.Cost`. Write a module-level guide for a reader arriving from Pith. Cover the module's purpose, the main declarations, how it fits into the Recognition Science forcing chain or runtime, and what remains outside this module. Cite only declarations present in the supplied Recognition source.
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outside recognition
- Full definition of module IndisputableMonolith.Cost
- Declarations in IndisputableMonolith.Cost.FunctionalEquation
- Theorems establishing J-cost uniqueness or reciprocal symmetry
recognition modules consulted
IndisputableMonolith.Foundation.RecognitionForcingIndisputableMonolith.Foundation.UniversalForcing.Strict.RichDomainCostsIndisputableMonolith.Foundation.AlexanderDualityIndisputableMonolith.Foundation.DimensionForcingIndisputableMonolith.Foundation.UniversalForcingSelfReferenceIndisputableMonolith.Mathematics.LanglandsFromRecognitionCostIndisputableMonolith.Foundation.AxiomDischargePlanIndisputableMonolith.Foundation.PhiForcing