Prove2Me

Import context: KLS/LogConcave/WeightedGradient/Poincare

Definition
KLSModular_FunctionalInequalities_KLS_LogConcave_WeightedGradient_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.WeightedGradient.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.WeightedGradient.Energy, FunctionalInequalities.KLS.LogConcave.Poincare, and FunctionalInequalities.Poincare.SmoothGradient.Comparison.

Original module imports

import FunctionalInequalities.KLS.LogConcave.WeightedGradient.Energy
import FunctionalInequalities.KLS.LogConcave.Poincare
import FunctionalInequalities.Poincare.SmoothGradient.Comparison

Module navigation

Direct project imports: KLS/LogConcave/WeightedGradient/Energy, KLS/LogConcave/Poincare, Poincare/SmoothGradient/Comparison.

Theorems in source order:

Project result: The KLS conjecture.

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

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_WeightedGradient_Energy
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_Poincare
import Definitions.Def_KLSModular_FunctionalInequalities_Poincare_SmoothGradient_Comparison
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/KLS/LogConcave/WeightedGradient/Poincare.lean#L1-L69 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.LogConcave.WeightedGradient.Poincare`, import-context bundle `KLSModular_FunctionalInequalities_KLS_LogConcave_WeightedGradient_Poincare`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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