Import context: Analysis/BakryEmery/IntegrationByParts/InverseHessian/WeakCutoff

Definition

KLSModular_FunctionalInequalities_Analysis_BakryEmery_IntegrationByParts_InverseHessian_WeakCutoff

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.BakryEmery.IntegrationByParts.InverseHessian.WeakCutoff 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.Profile, FunctionalInequalities.Analysis.BakryEmery.IntegrationByParts.InverseHessian.Weak, FunctionalInequalities.Analysis.BakryEmery.IntegrationByParts.InverseHessian.Basic, and FunctionalInequalities.Analysis.Convex.Coercivity. It also directly imports the external prerequisite modules Mathlib.LinearAlgebra.Matrix.PosDef and Mathlib.Topology.Instances.Matrix.

Original module imports

import FunctionalInequalities.Analysis.Cutoff.Profile
import FunctionalInequalities.Analysis.BakryEmery.IntegrationByParts.InverseHessian.Weak
import FunctionalInequalities.Analysis.BakryEmery.IntegrationByParts.InverseHessian.Basic
import FunctionalInequalities.Analysis.Convex.Coercivity
import Mathlib.LinearAlgebra.Matrix.PosDef
import Mathlib.Topology.Instances.Matrix

Module navigation

Direct project imports: Analysis/Cutoff/Profile, Analysis/BakryEmery/IntegrationByParts/InverseHessian/Weak, Analysis/BakryEmery/IntegrationByParts/InverseHessian/Basic, Analysis/Convex/Coercivity.

Theorems in source order:

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Analysis.BakryEmery.IntegrationByParts.InverseHessian.WeakCutoff · Frozen source 408915f.

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Cutoff_Profile
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_IntegrationByParts_InverseHessian_Weak
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_IntegrationByParts_InverseHessian_Basic
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Convex_Coercivity
import Mathlib.LinearAlgebra.Matrix.PosDef
import Mathlib.Topology.Instances.Matrix

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Analysis/BakryEmery/IntegrationByParts/InverseHessian/WeakCutoff.lean#L1-L1011 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Analysis.BakryEmery.IntegrationByParts.InverseHessian.WeakCutoff`, import-context bundle `KLSModular_FunctionalInequalities_Analysis_BakryEmery_IntegrationByParts_InverseHessian_WeakCutoff`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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