Prove2Me

Import context: Analysis/Convex/HessianIncrement

Definition
KLSModular_FunctionalInequalities_Analysis_Convex_HessianIncrement

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

analysisfunctional-inequalitiesimport-contextklskls-conjecturekls-modularlog-concavemodule-context

This bundle retains the import context of the source module FunctionalInequalities.Analysis.Convex.HessianIncrement 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.Cutoff.Translation, FunctionalInequalities.Analysis.Convex.SecondDifference, FunctionalInequalities.Analysis.BakryEmery.IntegrationByParts.InverseHessian.Weak, and FunctionalInequalities.Analysis.Convex.Viscosity. It also directly imports the external prerequisite module Mathlib.MeasureTheory.Function.LocallyIntegrable.

Original module imports

import FunctionalInequalities.Analysis.Cutoff.Translation
import FunctionalInequalities.Analysis.Convex.SecondDifference
import FunctionalInequalities.Analysis.BakryEmery.IntegrationByParts.InverseHessian.Weak
import FunctionalInequalities.Analysis.Convex.Viscosity
import Mathlib.MeasureTheory.Function.LocallyIntegrable

Module navigation

Direct project imports: Analysis/Cutoff/Translation, Analysis/Convex/SecondDifference, Analysis/BakryEmery/IntegrationByParts/InverseHessian/Weak, Analysis/Convex/Viscosity.

Theorems in source order:

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Analysis.Convex.HessianIncrement · Frozen source 408915f.

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Cutoff_Translation
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Convex_SecondDifference
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_IntegrationByParts_InverseHessian_Weak
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Convex_Viscosity
import Mathlib.MeasureTheory.Function.LocallyIntegrable
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Analysis/Convex/HessianIncrement.lean#L1-L459 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Analysis.Convex.HessianIncrement`, import-context bundle `KLSModular_FunctionalInequalities_Analysis_Convex_HessianIncrement`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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