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Import context: KLS/LogConcave/Density/ConcaveTilt

Definition
KLSModular_FunctionalInequalities_KLS_LogConcave_Density_ConcaveTilt

by Lazyfill · Oct 25, 2026 · Mathlib 0df444a (Lean v4.33.1)

functional-inequalitiesimport-contextklskls-conjecturekls-modularlog-concavemodule-context

This bundle retains the import context of the source module FunctionalInequalities.KLS.LogConcave.Density.ConcaveTilt in the modular KLS dependency graph. It adds no new mathematical declarations. Substantive statements and proofs are represented by separate theorem nodes.

Its direct project prerequisite modules are FunctionalInequalities.KLS.LogConcave.Density.Tilted, FunctionalInequalities.KLS.LogConcave.Density.BorellRepresentation.Intrinsic, FunctionalInequalities.KLS.LogConcave.Transport, and FunctionalInequalities.Probability.Transport.

Original module imports

import FunctionalInequalities.KLS.LogConcave.Density.Tilted
import FunctionalInequalities.KLS.LogConcave.Density.BorellRepresentation.Intrinsic
import FunctionalInequalities.KLS.LogConcave.Transport
import FunctionalInequalities.Probability.Transport

Module navigation

Direct project imports: KLS/LogConcave/Density/Tilted, KLS/LogConcave/Density/BorellRepresentation/Intrinsic, KLS/LogConcave/Transport, Probability/Transport.

Theorems in source order:

Project result: The KLS conjecture.

Original module · FunctionalInequalities.KLS.LogConcave.Density.ConcaveTilt · Frozen source 408915f.

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_Density_Tilted
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_Density_BorellRepresentation_Intrinsic
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_Transport
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_Transport
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/KLS/LogConcave/Density/ConcaveTilt.lean#L1-L107 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.LogConcave.Density.ConcaveTilt`, import-context bundle `KLSModular_FunctionalInequalities_KLS_LogConcave_Density_ConcaveTilt`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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