Import context: KLS/LogConcave/IsotropicReduction

Definition

KLSModular_FunctionalInequalities_KLS_LogConcave_IsotropicReduction

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.IsotropicReduction 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.Density.GaussianSmoothing.RegularApproximation, FunctionalInequalities.KLS.LogConcave.Regular.Isometry, FunctionalInequalities.KLS.LogConcave.Regular.Poincare, FunctionalInequalities.KLS.LogConcave.WeakLimit, FunctionalInequalities.KLS.IsotropicSupport, and FunctionalInequalities.Poincare.SmoothTest.Comparison.

Original module imports

import FunctionalInequalities.KLS.LogConcave.Density.GaussianSmoothing.RegularApproximation
import FunctionalInequalities.KLS.LogConcave.Regular.Isometry
import FunctionalInequalities.KLS.LogConcave.Regular.Poincare
import FunctionalInequalities.KLS.LogConcave.WeakLimit
import FunctionalInequalities.KLS.IsotropicSupport
import FunctionalInequalities.Poincare.SmoothTest.Comparison

Module navigation

Direct project imports: KLS/LogConcave/Density/GaussianSmoothing/RegularApproximation, KLS/LogConcave/Regular/Isometry, KLS/LogConcave/Regular/Poincare, KLS/LogConcave/WeakLimit, KLS/IsotropicSupport, Poincare/SmoothTest/Comparison.

Theorems in source order:

localSlope_le_of_regular_isotropic_bound

Project result: The KLS conjecture.

Original module · FunctionalInequalities.KLS.LogConcave.IsotropicReduction · Frozen source 408915f.

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_Density_GaussianSmoothing_RegularApproximation
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_Regular_Isometry
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_Regular_Poincare
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_WeakLimit
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_IsotropicSupport
import Definitions.Def_KLSModular_FunctionalInequalities_Poincare_SmoothTest_Comparison

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/KLS/LogConcave/IsotropicReduction.lean#L1-L137 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.LogConcave.IsotropicReduction`, import-context bundle `KLSModular_FunctionalInequalities_KLS_LogConcave_IsotropicReduction`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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