Import context: KLS/BKL/Localization/CutoffEnergy/ToCumulant

Definition

KLSModular_FunctionalInequalities_KLS_BKL_Localization_CutoffEnergy_ToCumulant

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.CutoffEnergy.ToCumulant 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.Process.Basic, FunctionalInequalities.KLS.BKL.Localization.CovarianceGenerator, FunctionalInequalities.KLS.BKL.Localization.Standardization, FunctionalInequalities.KLS.BKL.CumulantEnergy.Basic, FunctionalInequalities.KLS.BKL.CompactReduction, FunctionalInequalities.KLS.BKL.CumulantEnvelope, FunctionalInequalities.KLS.BKL.Localization.CutoffEnergy.Basic, and FunctionalInequalities.KLS.BKL.Localization.Process.Integral.

Original module imports

import FunctionalInequalities.KLS.BKL.Localization.Process.Basic
import FunctionalInequalities.KLS.BKL.Localization.CovarianceGenerator
import FunctionalInequalities.KLS.BKL.Localization.Standardization
import FunctionalInequalities.KLS.BKL.CumulantEnergy.Basic
import FunctionalInequalities.KLS.BKL.CompactReduction
import FunctionalInequalities.KLS.BKL.CumulantEnvelope
import FunctionalInequalities.KLS.BKL.Localization.CutoffEnergy.Basic
import FunctionalInequalities.KLS.BKL.Localization.Process.Integral

Module navigation

Direct project imports: KLS/BKL/Localization/Process/Basic, KLS/BKL/Localization/CovarianceGenerator, KLS/BKL/Localization/Standardization, KLS/BKL/CumulantEnergy/Basic, KLS/BKL/CompactReduction, KLS/BKL/CumulantEnvelope, KLS/BKL/Localization/CutoffEnergy/Basic, KLS/BKL/Localization/Process/Integral.

Theorems in source order:

cumulantBoundCompact_of_cutoffEnergyClaim

Project result: The KLS conjecture.

Original module · FunctionalInequalities.KLS.BKL.Localization.CutoffEnergy.ToCumulant · Frozen source 408915f.

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Localization_Process_Basic
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Localization_CovarianceGenerator
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_CompactReduction
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_CumulantEnvelope
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Localization_CutoffEnergy_Basic
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Localization_Process_Integral

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/KLS/BKL/Localization/CutoffEnergy/ToCumulant.lean#L1-L201 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.BKL.Localization.CutoffEnergy.ToCumulant`, import-context bundle `KLSModular_FunctionalInequalities_KLS_BKL_Localization_CutoffEnergy_ToCumulant`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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