The supplied source contains no module named IndisputableMonolith.Cost.Ndim.Metric and no declarations from it. The slice includes modules such as IndisputableMonolith.Foundation.DimensionForcing (which proves D=3 via Alexander duality and linking), IndisputableMonolith.Foundation.PhiForcing (which derives φ from self-similarity), IndisputableMonolith.Foundation.RecognitionForcing (which bridges cost to recognition structures), and IndisputableMonolith.Foundation.AlexanderDuality (which defines SphereAdmitsCircleLinking). No N-dimensional metric construction or Cost.Ndim declarations appear. The Recognition Science forcing chain reaches dimension via linking_requires_D3 and eight_tick_forces_D3 in the supplied DimensionForcing module, but the requested metric module lies outside this slice.
Explain the Lean module `IndisputableMonolith.Cost.Ndim.Metric`. 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
- IndisputableMonolith.Cost.Ndim.Metric module
- Any declarations, structures, or theorems within IndisputableMonolith.Cost.Ndim.Metric
recognition modules consulted
IndisputableMonolith.Foundation.RecognitionForcingIndisputableMonolith.Foundation.UniversalForcing.Strict.RichDomainCostsIndisputableMonolith.Foundation.AlexanderDualityIndisputableMonolith.Foundation.DimensionForcingIndisputableMonolith.Foundation.UniversalForcingSelfReferenceIndisputableMonolith.Mathematics.LanglandsFromRecognitionCostIndisputableMonolith.Foundation.AxiomDischargePlanIndisputableMonolith.Foundation.PhiForcing