Prove2Me

Import context: Analysis/Mollification/Basic

Definition
KLSModular_FunctionalInequalities_Analysis_Mollification_Basic

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.Mollification.Basic 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.Analysis.BakryEmery.Calculus. It also directly imports the external prerequisite modules Mathlib.Analysis.Calculus.BumpFunction.Convolution, Mathlib.Analysis.Calculus.ContDiff.Convolution, Mathlib.MeasureTheory.Function.ContinuousMapDense, Mathlib.MeasureTheory.Function.L2Space, Mathlib.Analysis.Calculus.LineDeriv.Basic, Mathlib.Analysis.Calculus.Rademacher, Mathlib.Analysis.Convex.Integral, and Mathlib.MeasureTheory.SpecificCodomains.Pi.

Original module imports

import FunctionalInequalities.Analysis.BakryEmery.Calculus
import Mathlib.Analysis.Calculus.BumpFunction.Convolution
import Mathlib.Analysis.Calculus.ContDiff.Convolution
import Mathlib.MeasureTheory.Function.ContinuousMapDense
import Mathlib.MeasureTheory.Function.L2Space
import Mathlib.Analysis.Calculus.LineDeriv.Basic
import Mathlib.Analysis.Calculus.Rademacher
import Mathlib.Analysis.Convex.Integral
import Mathlib.MeasureTheory.SpecificCodomains.Pi

Module navigation

Direct project imports: Analysis/BakryEmery/Calculus.

Theorems in source order:

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Analysis.Mollification.Basic · Frozen source 408915f.

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_Calculus
import Mathlib.Analysis.Calculus.BumpFunction.Convolution
import Mathlib.Analysis.Calculus.ContDiff.Convolution
import Mathlib.MeasureTheory.Function.ContinuousMapDense
import Mathlib.MeasureTheory.Function.L2Space
import Mathlib.Analysis.Calculus.LineDeriv.Basic
import Mathlib.Analysis.Calculus.Rademacher
import Mathlib.Analysis.Convex.Integral
import Mathlib.MeasureTheory.SpecificCodomains.Pi
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Analysis/Mollification/Basic.lean#L1-L706 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Analysis.Mollification.Basic`, import-context bundle `KLSModular_FunctionalInequalities_Analysis_Mollification_Basic`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

View graph