Import context: KLS/LogConcave/HessianStein

Definition

KLSModular_FunctionalInequalities_KLS_LogConcave_HessianStein

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.HessianStein 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.Analysis.Operator.Coordinates, FunctionalInequalities.Probability.Stein.Kernel, FunctionalInequalities.Analysis.BakryEmery.HessianOperator, FunctionalInequalities.Analysis.BakryEmery.WeakHessian, FunctionalInequalities.Probability.Stein.HessianKernel, FunctionalInequalities.KLS.Isotropic, FunctionalInequalities.KLS.LogConcave.Stein, FunctionalInequalities.Analysis.BakryEmery.IntegrationByParts.LipschitzHessian, and FunctionalInequalities.Analysis.BakryEmery.Calculus.

Original module imports

import FunctionalInequalities.Analysis.Operator.Coordinates
import FunctionalInequalities.Probability.Stein.Kernel
import FunctionalInequalities.Analysis.BakryEmery.HessianOperator
import FunctionalInequalities.Analysis.BakryEmery.WeakHessian
import FunctionalInequalities.Probability.Stein.HessianKernel
import FunctionalInequalities.KLS.Isotropic
import FunctionalInequalities.KLS.LogConcave.Stein
import FunctionalInequalities.Analysis.BakryEmery.IntegrationByParts.LipschitzHessian
import FunctionalInequalities.Analysis.BakryEmery.Calculus

Module navigation

Direct project imports: Analysis/Operator/Coordinates, Probability/Stein/Kernel, Analysis/BakryEmery/HessianOperator, Analysis/BakryEmery/WeakHessian, Probability/Stein/HessianKernel, KLS/Isotropic, KLS/LogConcave/Stein, Analysis/BakryEmery/IntegrationByParts/LipschitzHessian, Analysis/BakryEmery/Calculus.

Theorems in source order:

Project result: The KLS conjecture.

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

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Operator_Coordinates
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_Stein_Kernel
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_HessianOperator
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_WeakHessian
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_Stein_HessianKernel
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_Isotropic
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_Stein
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_IntegrationByParts_LipschitzHessian
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_Calculus

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/KLS/LogConcave/HessianStein.lean#L1-L445 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.LogConcave.HessianStein`, import-context bundle `KLSModular_FunctionalInequalities_KLS_LogConcave_HessianStein`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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