Prove2Me

Import context: Probability/MomentMeasure/ConjugateMass

Definition
KLSModular_FunctionalInequalities_Probability_MomentMeasure_ConjugateMass

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.MomentMeasure.ConjugateMass 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.Convex.AffineMaximum and FunctionalInequalities.Probability.MomentMeasure.Basic. It also directly imports the external prerequisite modules Mathlib.MeasureTheory.Constructions.HaarToSphere, Mathlib.Analysis.SpecialFunctions.Gaussian.GaussianIntegral, Mathlib.MeasureTheory.Integral.Lebesgue.DominatedConvergence, Mathlib.Analysis.SpecialFunctions.Log.ENNRealLogExp, Mathlib.Topology.Instances.EReal.Lemmas, and Mathlib.Topology.Order.LiminfLimsup.

Original module imports

import FunctionalInequalities.Analysis.Convex.AffineMaximum
import FunctionalInequalities.Probability.MomentMeasure.Basic
import Mathlib.MeasureTheory.Constructions.HaarToSphere
import Mathlib.Analysis.SpecialFunctions.Gaussian.GaussianIntegral
import Mathlib.MeasureTheory.Integral.Lebesgue.DominatedConvergence
import Mathlib.Analysis.SpecialFunctions.Log.ENNRealLogExp
import Mathlib.Topology.Instances.EReal.Lemmas
import Mathlib.Topology.Order.LiminfLimsup

Module navigation

Direct project imports: Analysis/Convex/AffineMaximum, Probability/MomentMeasure/Basic.

Theorems in source order:

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Probability.MomentMeasure.ConjugateMass · Frozen source 408915f.

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Convex_AffineMaximum
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_MomentMeasure_Basic
import Mathlib.MeasureTheory.Constructions.HaarToSphere
import Mathlib.Analysis.SpecialFunctions.Gaussian.GaussianIntegral
import Mathlib.MeasureTheory.Integral.Lebesgue.DominatedConvergence
import Mathlib.Analysis.SpecialFunctions.Log.ENNRealLogExp
import Mathlib.Topology.Instances.EReal.Lemmas
import Mathlib.Topology.Order.LiminfLimsup
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Probability/MomentMeasure/ConjugateMass.lean#L1-L308 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Probability.MomentMeasure.ConjugateMass`, import-context bundle `KLSModular_FunctionalInequalities_Probability_MomentMeasure_ConjugateMass`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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