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Import context: KLS/BKL/Localization/Lyapunov/Moment

Definition
KLSModular_FunctionalInequalities_KLS_BKL_Localization_Lyapunov_Moment

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.Localization.Lyapunov.Moment 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.Localization.Lyapunov.Basic, FunctionalInequalities.KLS.BKL.Localization.Process.Basic, FunctionalInequalities.KLS.BKL.Localization.CutoffEnergy.Basic, FunctionalInequalities.Analysis.Gronwall, FunctionalInequalities.KLS.BKL.Localization.Process.Integral, and FunctionalInequalities.Probability.Diffusion.Generator.

Original module imports

import FunctionalInequalities.KLS.BKL.Localization.Lyapunov.Basic
import FunctionalInequalities.KLS.BKL.Localization.Process.Basic
import FunctionalInequalities.KLS.BKL.Localization.CutoffEnergy.Basic
import FunctionalInequalities.Analysis.Gronwall
import FunctionalInequalities.KLS.BKL.Localization.Process.Integral
import FunctionalInequalities.Probability.Diffusion.Generator

Module navigation

Direct project imports: KLS/BKL/Localization/Lyapunov/Basic, KLS/BKL/Localization/Process/Basic, KLS/BKL/Localization/CutoffEnergy/Basic, Analysis/Gronwall, KLS/BKL/Localization/Process/Integral, Probability/Diffusion/Generator.

Theorems in source order:

  • IsEldanCutoff.integral_lyapunov_le
  • IsEldanCutoff.measure_norm_gt_le

Project result: The KLS conjecture.

Original module · FunctionalInequalities.KLS.BKL.Localization.Lyapunov.Moment · Frozen source 408915f.

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Localization_Lyapunov_Basic
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Localization_Process_Basic
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Localization_CutoffEnergy_Basic
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Gronwall
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Localization_Process_Integral
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_Diffusion_Generator

Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/KLS/BKL/Localization/Lyapunov/Moment.lean#L1-L361 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.BKL.Localization.Lyapunov.Moment`, import-context bundle `KLSModular_FunctionalInequalities_KLS_BKL_Localization_Lyapunov_Moment`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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