Import context: Analysis/BakryEmery/Bochner/Lipschitz

Definition

KLSModular_FunctionalInequalities_Analysis_BakryEmery_Bochner_Lipschitz

by Lazyfill · Oct 25, 2026 · Mathlib 0df444a (Lean v4.33.1)

analysisfunctional-inequalitiesimport-contextklskls-conjecturekls-modularlog-concavemodule-context

This bundle retains the import context of the source module FunctionalInequalities.Analysis.BakryEmery.Bochner.Lipschitz 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.Mollification.Hessian, FunctionalInequalities.Analysis.BakryEmery.Curvature, FunctionalInequalities.Analysis.BakryEmery.Bochner.Basic, and FunctionalInequalities.Analysis.BakryEmery.HessianOperator.

Original module imports

import FunctionalInequalities.Analysis.Mollification.Hessian
import FunctionalInequalities.Analysis.BakryEmery.Curvature
import FunctionalInequalities.Analysis.BakryEmery.Bochner.Basic
import FunctionalInequalities.Analysis.BakryEmery.HessianOperator

Module navigation

Direct project imports: Analysis/Mollification/Hessian, Analysis/BakryEmery/Curvature, Analysis/BakryEmery/Bochner/Basic, Analysis/BakryEmery/HessianOperator.

Theorems in source order:

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Analysis.BakryEmery.Bochner.Lipschitz · Frozen source 408915f.

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Mollification_Hessian
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_Curvature
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_Bochner_Basic
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_HessianOperator

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Analysis/BakryEmery/Bochner/Lipschitz.lean#L1-L347 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Analysis.BakryEmery.Bochner.Lipschitz`, import-context bundle `KLSModular_FunctionalInequalities_Analysis_BakryEmery_Bochner_Lipschitz`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

View graph