Import context: Probability/Stein/HessianKernel

Definition

KLSModular_FunctionalInequalities_Probability_Stein_HessianKernel

by Lazyfill · Oct 25, 2026 · Mathlib 0df444a (Lean v4.33.1)

functional-inequalitiesimport-contextklskls-conjecturekls-modularlog-concavemodule-contextprobability

This bundle retains the import context of the source module FunctionalInequalities.Probability.Stein.HessianKernel 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.Probability.Stein.Kernel, FunctionalInequalities.Analysis.BakryEmery.Calculus, FunctionalInequalities.Analysis.BakryEmery.HessianOperator, FunctionalInequalities.Analysis.BakryEmery.Bochner.Basic, FunctionalInequalities.Analysis.BakryEmery.WeakHessian, and FunctionalInequalities.Analysis.Operator.Coordinates. It also directly imports the external prerequisite modules Mathlib.MeasureTheory.Constructions.Polish.Basic and Mathlib.MeasureTheory.SpecificCodomains.WithLp.

Original module imports

import FunctionalInequalities.Probability.Stein.Kernel
import FunctionalInequalities.Analysis.BakryEmery.Calculus
import FunctionalInequalities.Analysis.BakryEmery.HessianOperator
import FunctionalInequalities.Analysis.BakryEmery.Bochner.Basic
import Mathlib.MeasureTheory.Constructions.Polish.Basic
import Mathlib.MeasureTheory.SpecificCodomains.WithLp
import FunctionalInequalities.Analysis.BakryEmery.WeakHessian
import FunctionalInequalities.Analysis.Operator.Coordinates

Module navigation

Direct project imports: Probability/Stein/Kernel, Analysis/BakryEmery/Calculus, Analysis/BakryEmery/HessianOperator, Analysis/BakryEmery/Bochner/Basic, Analysis/BakryEmery/WeakHessian, Analysis/Operator/Coordinates.

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Probability.Stein.HessianKernel · Frozen source 408915f.

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_Probability_Stein_Kernel
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_Calculus
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_HessianOperator
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_Bochner_Basic
import Mathlib.MeasureTheory.Constructions.Polish.Basic
import Mathlib.MeasureTheory.SpecificCodomains.WithLp
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_WeakHessian
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Operator_Coordinates

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Probability/Stein/HessianKernel.lean#L1-L203 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Probability.Stein.HessianKernel`, import-context bundle `KLSModular_FunctionalInequalities_Probability_Stein_HessianKernel`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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