Prove2Me

Import context: Probability/Diffusion/Transport

Definition
KLSModular_FunctionalInequalities_Probability_Diffusion_Transport

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

functional-inequalitiesimport-contextklskls-conjecturekls-modularlog-concavemodule-contextprobability

This bundle retains the import context of the source module FunctionalInequalities.Probability.Diffusion.Transport 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.Probability.Diffusion.Setup, FunctionalInequalities.Probability.Diffusion.Existence, FunctionalInequalities.Probability.Diffusion.Dynkin, and FunctionalInequalities.Probability.Diffusion.Generator.

Original module imports

import FunctionalInequalities.Probability.Diffusion.Setup
import FunctionalInequalities.Probability.Diffusion.Existence
import FunctionalInequalities.Probability.Diffusion.Dynkin
import FunctionalInequalities.Probability.Diffusion.Generator

Module navigation

Direct project imports: Probability/Diffusion/Setup, Probability/Diffusion/Existence, Probability/Diffusion/Dynkin, Probability/Diffusion/Generator.

Theorems in source order:

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Probability.Diffusion.Transport · Frozen source 408915f.

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_Diffusion_Setup
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_Diffusion_Existence
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_Diffusion_Dynkin
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_Diffusion_Generator
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Probability/Diffusion/Transport.lean#L1-L166 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Probability.Diffusion.Transport`, import-context bundle `KLSModular_FunctionalInequalities_Probability_Diffusion_Transport`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

View graph