Import context: KLS/BKL/Localization/CovarianceGenerator

Definition

KLSModular_FunctionalInequalities_KLS_BKL_Localization_CovarianceGenerator

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.CovarianceGenerator 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.Coefficients, FunctionalInequalities.KLS.BKL.Localization.LogLaplaceGenerator, FunctionalInequalities.Probability.Posterior.LogPartition, FunctionalInequalities.Analysis.BakryEmery.Calculus, FunctionalInequalities.KLS.BKL.Posterior.Covariance, and FunctionalInequalities.Probability.Diffusion.Generator.

Original module imports

import FunctionalInequalities.KLS.BKL.Localization.Coefficients
import FunctionalInequalities.KLS.BKL.Localization.LogLaplaceGenerator
import FunctionalInequalities.Probability.Posterior.LogPartition
import FunctionalInequalities.Analysis.BakryEmery.Calculus
import FunctionalInequalities.KLS.BKL.Posterior.Covariance
import FunctionalInequalities.Probability.Diffusion.Generator

Module navigation

Direct project imports: KLS/BKL/Localization/Coefficients, KLS/BKL/Localization/LogLaplaceGenerator, Probability/Posterior/LogPartition, Analysis/BakryEmery/Calculus, KLS/BKL/Posterior/Covariance, Probability/Diffusion/Generator.

Theorems in source order:

Project result: The KLS conjecture.

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

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Localization_Coefficients
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Localization_LogLaplaceGenerator
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_Posterior_LogPartition
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_Calculus
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Posterior_Covariance
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/CovarianceGenerator.lean#L1-L206 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.BKL.Localization.CovarianceGenerator`, import-context bundle `KLSModular_FunctionalInequalities_KLS_BKL_Localization_CovarianceGenerator`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

View graph