Prove2Me

Import context: KLS/LogConcave/Poincare

Definition
KLSModular_FunctionalInequalities_KLS_LogConcave_Poincare

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.Poincare 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.AbsoluteContinuity, FunctionalInequalities.Poincare.LocalSlope.Gradient, and FunctionalInequalities.Poincare.LocalSlope.SmoothTestComparison.

Original module imports

import FunctionalInequalities.KLS.LogConcave.Density.AbsoluteContinuity
import FunctionalInequalities.Poincare.LocalSlope.Gradient
import FunctionalInequalities.Poincare.LocalSlope.SmoothTestComparison

Module navigation

Direct project imports: KLS/LogConcave/Density/AbsoluteContinuity, Poincare/LocalSlope/Gradient, Poincare/LocalSlope/SmoothTestComparison.

Project result: The KLS conjecture.

Original module · FunctionalInequalities.KLS.LogConcave.Poincare · Frozen source 408915f.

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_Density_AbsoluteContinuity
import Definitions.Def_KLSModular_FunctionalInequalities_Poincare_LocalSlope_Gradient
import Definitions.Def_KLSModular_FunctionalInequalities_Poincare_LocalSlope_SmoothTestComparison
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/KLS/LogConcave/Poincare.lean#L1-L93 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.LogConcave.Poincare`, import-context bundle `KLSModular_FunctionalInequalities_KLS_LogConcave_Poincare`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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