Import context: KLS/LogConcave/HeatSemigroup/Decay

Definition

KLSModular_FunctionalInequalities_KLS_LogConcave_HeatSemigroup_Decay

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.HeatSemigroup.Decay 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.HeatSemigroup.Markov, FunctionalInequalities.KLS.LogConcave.HeatSemigroup.Domain, FunctionalInequalities.KLS.LogConcave.WeightedGradient.Poincare, FunctionalInequalities.Analysis.Semigroup.Generated.TimeDerivative, and FunctionalInequalities.L2.MeanVariance. It also directly imports the external prerequisite module Mathlib.Analysis.Calculus.Deriv.MeanValue.

Original module imports

import FunctionalInequalities.KLS.LogConcave.HeatSemigroup.Markov
import FunctionalInequalities.KLS.LogConcave.HeatSemigroup.Domain
import FunctionalInequalities.KLS.LogConcave.WeightedGradient.Poincare
import FunctionalInequalities.Analysis.Semigroup.Generated.TimeDerivative
import FunctionalInequalities.L2.MeanVariance
import Mathlib.Analysis.Calculus.Deriv.MeanValue

Module navigation

Direct project imports: KLS/LogConcave/HeatSemigroup/Markov, KLS/LogConcave/HeatSemigroup/Domain, KLS/LogConcave/WeightedGradient/Poincare, Analysis/Semigroup/Generated/TimeDerivative, L2/MeanVariance.

Project result: The KLS conjecture.

Original module · FunctionalInequalities.KLS.LogConcave.HeatSemigroup.Decay · Frozen source 408915f.

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_HeatSemigroup_Markov
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_HeatSemigroup_Domain
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_WeightedGradient_Poincare
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Semigroup_Generated_TimeDerivative
import Definitions.Def_KLSModular_FunctionalInequalities_L2_MeanVariance
import Mathlib.Analysis.Calculus.Deriv.MeanValue

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/KLS/LogConcave/HeatSemigroup/Decay.lean#L1-L220 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.LogConcave.HeatSemigroup.Decay`, import-context bundle `KLSModular_FunctionalInequalities_KLS_LogConcave_HeatSemigroup_Decay`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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