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

Definition

KLSModular_FunctionalInequalities_KLS_BKL_Localization_Energy_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.Energy.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.CumulantEnergy.Bound, FunctionalInequalities.KLS.BKL.Localization.Coefficients, FunctionalInequalities.KLS.BKL.Localization.Standardization, FunctionalInequalities.KLS.BKL.CumulantEnergy.Basic, FunctionalInequalities.KLS.BKL.Posterior.Covariance, and FunctionalInequalities.KLS.BKL.Posterior.Standardization.

Original module imports

import FunctionalInequalities.KLS.BKL.CumulantEnergy.Bound
import FunctionalInequalities.KLS.BKL.Localization.Coefficients
import FunctionalInequalities.KLS.BKL.Localization.Standardization
import FunctionalInequalities.KLS.BKL.CumulantEnergy.Basic
import FunctionalInequalities.KLS.BKL.Posterior.Covariance
import FunctionalInequalities.KLS.BKL.Posterior.Standardization

Module navigation

Direct project imports: KLS/BKL/CumulantEnergy/Bound, KLS/BKL/Localization/Coefficients, KLS/BKL/Localization/Standardization, KLS/BKL/CumulantEnergy/Basic, KLS/BKL/Posterior/Covariance, KLS/BKL/Posterior/Standardization.

Theorems in source order:

Project result: The KLS conjecture.

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

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_CumulantEnergy_Bound
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Localization_Coefficients
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Localization_Standardization
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_Standardization

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/KLS/BKL/Localization/Energy/Bound.lean#L1-L260 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.BKL.Localization.Energy.Bound`, import-context bundle `KLSModular_FunctionalInequalities_KLS_BKL_Localization_Energy_Bound`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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