Import context: KLS/LogConcave/WeakBrascampLieb

Definition

KLSModular_FunctionalInequalities_KLS_LogConcave_WeakBrascampLieb

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.LogConcave.WeakBrascampLieb 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.LogConcave.BrascampLieb, FunctionalInequalities.Analysis.BakryEmery.IntegrationByParts.WeakLaplacian, FunctionalInequalities.Analysis.BakryEmery.Bochner.Lipschitz, FunctionalInequalities.Analysis.BakryEmery.HessianOperator, FunctionalInequalities.Analysis.BakryEmery.WeakHessian, and FunctionalInequalities.Analysis.Matrix.Positivity.

Original module imports

import FunctionalInequalities.KLS.LogConcave.BrascampLieb
import FunctionalInequalities.Analysis.BakryEmery.IntegrationByParts.WeakLaplacian
import FunctionalInequalities.Analysis.BakryEmery.Bochner.Lipschitz
import FunctionalInequalities.Analysis.BakryEmery.HessianOperator
import FunctionalInequalities.Analysis.BakryEmery.WeakHessian
import FunctionalInequalities.Analysis.Matrix.Positivity

Module navigation

Direct project imports: KLS/LogConcave/BrascampLieb, Analysis/BakryEmery/IntegrationByParts/WeakLaplacian, Analysis/BakryEmery/Bochner/Lipschitz, Analysis/BakryEmery/HessianOperator, Analysis/BakryEmery/WeakHessian, Analysis/Matrix/Positivity.

Theorems in source order:

Project result: The KLS conjecture.

Original module · FunctionalInequalities.KLS.LogConcave.WeakBrascampLieb · Frozen source 408915f.

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_BrascampLieb
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_IntegrationByParts_WeakLaplacian
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_Bochner_Lipschitz
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_HessianOperator
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_WeakHessian
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Matrix_Positivity

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/KLS/LogConcave/WeakBrascampLieb.lean#L1-L175 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.LogConcave.WeakBrascampLieb`, import-context bundle `KLSModular_FunctionalInequalities_KLS_LogConcave_WeakBrascampLieb`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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