Import context: KLS/LogConcave/HeatSemigroup/Temperate

Definition

KLSModular_FunctionalInequalities_KLS_LogConcave_HeatSemigroup_Temperate

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.Temperate 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.Generator, FunctionalInequalities.KLS.LogConcave.HeatSemigroup.Inverse, FunctionalInequalities.Analysis.BakryEmery.IntegrationByParts.Temperate, FunctionalInequalities.Analysis.BakryEmery.Bochner.Temperate, and FunctionalInequalities.Analysis.BakryEmery.TensorEnergy.

Original module imports

import FunctionalInequalities.KLS.LogConcave.HeatSemigroup.Generator
import FunctionalInequalities.KLS.LogConcave.HeatSemigroup.Inverse
import FunctionalInequalities.Analysis.BakryEmery.IntegrationByParts.Temperate
import FunctionalInequalities.Analysis.BakryEmery.Bochner.Temperate
import FunctionalInequalities.Analysis.BakryEmery.TensorEnergy

Module navigation

Direct project imports: KLS/LogConcave/HeatSemigroup/Generator, KLS/LogConcave/HeatSemigroup/Inverse, Analysis/BakryEmery/IntegrationByParts/Temperate, Analysis/BakryEmery/Bochner/Temperate, Analysis/BakryEmery/TensorEnergy.

Theorems in source order:

exists_toLp_mem_closedWeightedOperator_domain_of_hasTemperateGrowth

Project result: The KLS conjecture.

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

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_HeatSemigroup_Generator
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_HeatSemigroup_Inverse
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_IntegrationByParts_Temperate
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_Bochner_Temperate
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_TensorEnergy

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/KLS/LogConcave/HeatSemigroup/Temperate.lean#L1-L678 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.LogConcave.HeatSemigroup.Temperate`, import-context bundle `KLSModular_FunctionalInequalities_KLS_LogConcave_HeatSemigroup_Temperate`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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