Import context: KLS/Letwin/Approximation

Definition

KLSModular_FunctionalInequalities_KLS_Letwin_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.Letwin.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 modules are FunctionalInequalities.KLS.BKL.CompactReduction, FunctionalInequalities.KLS.LogConcave.BallConditioning, FunctionalInequalities.KLS.LogConcave.IsotropicReduction, FunctionalInequalities.KLS.LogConcave.Density.GaussianSmoothing.RegularApproximation, FunctionalInequalities.KLS.LogConcave.Density.BorellRepresentation.Moments, FunctionalInequalities.KLS.LogConcave.Density.Tilted, FunctionalInequalities.Probability.Conditioning, and FunctionalInequalities.Probability.Moments. It also directly imports the external prerequisite module Mathlib.Analysis.Convex.Measure.

Original module imports

import FunctionalInequalities.KLS.BKL.CompactReduction
import FunctionalInequalities.KLS.LogConcave.BallConditioning
import FunctionalInequalities.KLS.LogConcave.IsotropicReduction
import FunctionalInequalities.KLS.LogConcave.Density.GaussianSmoothing.RegularApproximation
import FunctionalInequalities.KLS.LogConcave.Density.BorellRepresentation.Moments
import FunctionalInequalities.KLS.LogConcave.Density.Tilted
import FunctionalInequalities.Probability.Conditioning
import FunctionalInequalities.Probability.Moments
import Mathlib.Analysis.Convex.Measure

Module navigation

Direct project imports: KLS/BKL/CompactReduction, KLS/LogConcave/BallConditioning, KLS/LogConcave/IsotropicReduction, KLS/LogConcave/Density/GaussianSmoothing/RegularApproximation, KLS/LogConcave/Density/BorellRepresentation/Moments, KLS/LogConcave/Density/Tilted, Probability/Conditioning, Probability/Moments.

Theorems in source order:

exists_regularClass_seq_of_compact

Project result: The KLS conjecture.

Original module · FunctionalInequalities.KLS.Letwin.Approximation · Frozen source 408915f.

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_CompactReduction
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_BallConditioning
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_IsotropicReduction
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_Density_GaussianSmoothing_RegularApproximation
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_Density_BorellRepresentation_Moments
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_Density_Tilted
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_Conditioning
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_Moments
import Mathlib.Analysis.Convex.Measure

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/KLS/Letwin/Approximation.lean#L1-L344 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.Letwin.Approximation`, import-context bundle `KLSModular_FunctionalInequalities_KLS_Letwin_Approximation`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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