Prove2Me

Import context: KLS/LogConcave/BrascampLieb

Definition
KLSModular_FunctionalInequalities_KLS_LogConcave_BrascampLieb

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.BrascampLieb 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.Analysis.BakryEmery.InverseHessianEnergy, FunctionalInequalities.Analysis.BakryEmery.Curvature, and FunctionalInequalities.KLS.LogConcave.HeatSemigroup.Range.

Original module imports

import FunctionalInequalities.Analysis.BakryEmery.InverseHessianEnergy
import FunctionalInequalities.Analysis.BakryEmery.Curvature
import FunctionalInequalities.KLS.LogConcave.HeatSemigroup.Range

Module navigation

Direct project imports: Analysis/BakryEmery/InverseHessianEnergy, Analysis/BakryEmery/Curvature, KLS/LogConcave/HeatSemigroup/Range.

Theorems in source order:

Project result: The KLS conjecture.

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

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_InverseHessianEnergy
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_Curvature
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_HeatSemigroup_Range
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/KLS/LogConcave/BrascampLieb.lean#L1-L309 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.LogConcave.BrascampLieb`, import-context bundle `KLSModular_FunctionalInequalities_KLS_LogConcave_BrascampLieb`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

View graph