Import context: KLS/BKL/PoissonIterate/Defect

Definition

KLSModular_FunctionalInequalities_KLS_BKL_PoissonIterate_Defect

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.BKL.PoissonIterate.Defect 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.BKL.PoissonIterate.Domain, FunctionalInequalities.KLS.LogConcave.HeatSemigroup.Hessian, and FunctionalInequalities.Analysis.BakryEmery.TensorEnergy.

Original module imports

import FunctionalInequalities.KLS.BKL.PoissonIterate.Domain
import FunctionalInequalities.KLS.LogConcave.HeatSemigroup.Hessian
import FunctionalInequalities.Analysis.BakryEmery.TensorEnergy

Module navigation

Direct project imports: KLS/BKL/PoissonIterate/Domain, KLS/LogConcave/HeatSemigroup/Hessian, Analysis/BakryEmery/TensorEnergy.

Theorems in source order:

Project result: The KLS conjecture.

Original module · FunctionalInequalities.KLS.BKL.PoissonIterate.Defect · Frozen source 408915f.

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_PoissonIterate_Domain
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_HeatSemigroup_Hessian
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_TensorEnergy

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/KLS/BKL/PoissonIterate/Defect.lean#L1-L373 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.BKL.PoissonIterate.Defect`, import-context bundle `KLSModular_FunctionalInequalities_KLS_BKL_PoissonIterate_Defect`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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