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

Definition

KLSModular_FunctionalInequalities_KLS_BKL_Localization_Lyapunov_Bound

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.Bound 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.CovarianceGenerator, FunctionalInequalities.KLS.BKL.Localization.CumulantDerivative, FunctionalInequalities.KLS.BKL.Localization.NoiseBound, FunctionalInequalities.Analysis.Operator.HilbertSchmidt, FunctionalInequalities.Probability.Diffusion.VectorGenerator, FunctionalInequalities.Probability.Diffusion.InverseCalculus, FunctionalInequalities.KLS.BKL.Localization.Energy.Generator, FunctionalInequalities.KLS.BKL.Localization.Energy.Bound, FunctionalInequalities.KLS.BKL.Localization.Lyapunov.Basic, FunctionalInequalities.KLS.BKL.Posterior.Covariance, FunctionalInequalities.KLS.BKL.Posterior.Regularity, and FunctionalInequalities.Probability.Diffusion.Generator.

Original module imports

import FunctionalInequalities.KLS.BKL.Localization.CovarianceGenerator
import FunctionalInequalities.KLS.BKL.Localization.CumulantDerivative
import FunctionalInequalities.KLS.BKL.Localization.NoiseBound
import FunctionalInequalities.Analysis.Operator.HilbertSchmidt
import FunctionalInequalities.Probability.Diffusion.VectorGenerator
import FunctionalInequalities.Probability.Diffusion.InverseCalculus
import FunctionalInequalities.KLS.BKL.Localization.Energy.Generator
import FunctionalInequalities.KLS.BKL.Localization.Energy.Bound
import FunctionalInequalities.KLS.BKL.Localization.Lyapunov.Basic
import FunctionalInequalities.KLS.BKL.Posterior.Covariance
import FunctionalInequalities.KLS.BKL.Posterior.Regularity
import FunctionalInequalities.Probability.Diffusion.Generator

Module navigation

Direct project imports: KLS/BKL/Localization/CovarianceGenerator, KLS/BKL/Localization/CumulantDerivative, KLS/BKL/Localization/NoiseBound, Analysis/Operator/HilbertSchmidt, Probability/Diffusion/VectorGenerator, Probability/Diffusion/InverseCalculus, KLS/BKL/Localization/Energy/Generator, KLS/BKL/Localization/Energy/Bound, KLS/BKL/Localization/Lyapunov/Basic, KLS/BKL/Posterior/Covariance, KLS/BKL/Posterior/Regularity, Probability/Diffusion/Generator.

Theorems in source order:

Project result: The KLS conjecture.

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

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Localization_CovarianceGenerator
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Localization_CumulantDerivative
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Localization_NoiseBound
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Operator_HilbertSchmidt
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_Diffusion_VectorGenerator
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_Diffusion_InverseCalculus
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Localization_Energy_Generator
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Localization_Energy_Bound
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Localization_Lyapunov_Basic
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Posterior_Covariance
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Posterior_Regularity
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/Bound.lean#L1-L626 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.BKL.Localization.Lyapunov.Bound`, import-context bundle `KLSModular_FunctionalInequalities_KLS_BKL_Localization_Lyapunov_Bound`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

View graph