Prove2Me

Import context: Probability/Diffusion/InverseCalculus

Definition
KLSModular_FunctionalInequalities_Probability_Diffusion_InverseCalculus

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.InverseCalculus 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 module is FunctionalInequalities.Probability.Diffusion.Generator. It also directly imports the external prerequisite modules Mathlib.Analysis.Calculus.FDeriv.Mul, Mathlib.Analysis.Calculus.ContDiff.Operations, Mathlib.Analysis.Calculus.Deriv.Pow, Mathlib.Analysis.Calculus.Deriv.Mul, Mathlib.Tactic.NoncommRing, and Mathlib.Tactic.Positivity.

Original module imports

import FunctionalInequalities.Probability.Diffusion.Generator
import Mathlib.Analysis.Calculus.FDeriv.Mul
import Mathlib.Analysis.Calculus.ContDiff.Operations
import Mathlib.Analysis.Calculus.Deriv.Pow
import Mathlib.Analysis.Calculus.Deriv.Mul
import Mathlib.Tactic.NoncommRing
import Mathlib.Tactic.Positivity

Module navigation

Direct project imports: Probability/Diffusion/Generator.

Project result: The KLS conjecture.

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

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_Diffusion_Generator
import Mathlib.Analysis.Calculus.FDeriv.Mul
import Mathlib.Analysis.Calculus.ContDiff.Operations
import Mathlib.Analysis.Calculus.Deriv.Pow
import Mathlib.Analysis.Calculus.Deriv.Mul
import Mathlib.Tactic.NoncommRing
import Mathlib.Tactic.Positivity
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Probability/Diffusion/InverseCalculus.lean#L1-L184 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Probability.Diffusion.InverseCalculus`, import-context bundle `KLSModular_FunctionalInequalities_Probability_Diffusion_InverseCalculus`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

View graph