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Import context: KLS/BKL/Localization/Energy/Regularity

Definition
KLSModular_FunctionalInequalities_KLS_BKL_Localization_Energy_Regularity

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.Energy.Regularity 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.CumulantDerivative, FunctionalInequalities.KLS.BKL.CumulantEnergy.Conjugation, FunctionalInequalities.Analysis.Tensor.EnergyForm, FunctionalInequalities.KLS.BKL.CumulantEnergy.Basic, FunctionalInequalities.KLS.BKL.Posterior.Covariance, FunctionalInequalities.KLS.BKL.Posterior.Regularity, and FunctionalInequalities.Probability.Diffusion.Generator.

Original module imports

import FunctionalInequalities.KLS.BKL.Localization.CumulantDerivative
import FunctionalInequalities.KLS.BKL.CumulantEnergy.Conjugation
import FunctionalInequalities.Analysis.Tensor.EnergyForm
import FunctionalInequalities.KLS.BKL.CumulantEnergy.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/CumulantDerivative, KLS/BKL/CumulantEnergy/Conjugation, Analysis/Tensor/EnergyForm, KLS/BKL/CumulantEnergy/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.Energy.Regularity · Frozen source 408915f.

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Localization_CumulantDerivative
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_CumulantEnergy_Conjugation
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Tensor_EnergyForm
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_CumulantEnergy_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/Energy/Regularity.lean#L1-L127 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.BKL.Localization.Energy.Regularity`, import-context bundle `KLSModular_FunctionalInequalities_KLS_BKL_Localization_Energy_Regularity`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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