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Import context: KLS/LogConcave/Density/GaussianSmoothing/Approximation

Definition
KLSModular_FunctionalInequalities_KLS_LogConcave_Density_GaussianSmoothing_Approximation

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.GaussianSmoothing.Approximation 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 module is FunctionalInequalities.KLS.LogConcave.Density.GaussianSmoothing.Basic. It also directly imports the external prerequisite modules Mathlib.MeasureTheory.Integral.PeakFunction, Mathlib.MeasureTheory.Integral.Bochner.ContinuousLinearMap, Mathlib.Analysis.SpecialFunctions.Pow.Asymptotics, Mathlib.MeasureTheory.Integral.DominatedConvergence, Mathlib.MeasureTheory.Integral.Bochner.Set, Mathlib.Topology.ContinuousMap.Bounded.Normed, and Mathlib.MeasureTheory.Measure.ProbabilityMeasure.

Original module imports

import FunctionalInequalities.KLS.LogConcave.Density.GaussianSmoothing.Basic
import Mathlib.MeasureTheory.Integral.PeakFunction
import Mathlib.MeasureTheory.Integral.Bochner.ContinuousLinearMap
import Mathlib.Analysis.SpecialFunctions.Pow.Asymptotics
import Mathlib.MeasureTheory.Integral.DominatedConvergence
import Mathlib.MeasureTheory.Integral.Bochner.Set
import Mathlib.Topology.ContinuousMap.Bounded.Normed
import Mathlib.MeasureTheory.Measure.ProbabilityMeasure

Module navigation

Direct project imports: KLS/LogConcave/Density/GaussianSmoothing/Basic.

Theorems in source order:

Project result: The KLS conjecture.

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

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_Density_GaussianSmoothing_Basic
import Mathlib.MeasureTheory.Integral.PeakFunction
import Mathlib.MeasureTheory.Integral.Bochner.ContinuousLinearMap
import Mathlib.Analysis.SpecialFunctions.Pow.Asymptotics
import Mathlib.MeasureTheory.Integral.DominatedConvergence
import Mathlib.MeasureTheory.Integral.Bochner.Set
import Mathlib.Topology.ContinuousMap.Bounded.Normed
import Mathlib.MeasureTheory.Measure.ProbabilityMeasure
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/KLS/LogConcave/Density/GaussianSmoothing/Approximation.lean#L1-L355 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.LogConcave.Density.GaussianSmoothing.Approximation`, import-context bundle `KLSModular_FunctionalInequalities_KLS_LogConcave_Density_GaussianSmoothing_Approximation`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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