Import context: Probability/MomentMeasure/Compactness

Definition

KLSModular_FunctionalInequalities_Probability_MomentMeasure_Compactness

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.Compactness 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.ConvexSupport, FunctionalInequalities.Analysis.Convex.PointwiseCompactness, FunctionalInequalities.Analysis.Convex.RadialExtension, and FunctionalInequalities.Probability.MomentMeasure.ConjugateMass. It also directly imports the external prerequisite modules Mathlib.MeasureTheory.Integral.Lebesgue.Add, Mathlib.MeasureTheory.Integral.IntegrableOn, Mathlib.MeasureTheory.Constructions.BorelSpace.Basic, and Mathlib.Topology.Instances.EReal.Lemmas.

Original module imports

import FunctionalInequalities.Probability.ConvexSupport
import FunctionalInequalities.Analysis.Convex.PointwiseCompactness
import FunctionalInequalities.Analysis.Convex.RadialExtension
import FunctionalInequalities.Probability.MomentMeasure.ConjugateMass
import Mathlib.MeasureTheory.Integral.Lebesgue.Add
import Mathlib.MeasureTheory.Integral.IntegrableOn
import Mathlib.MeasureTheory.Constructions.BorelSpace.Basic
import Mathlib.Topology.Instances.EReal.Lemmas

Module navigation

Direct project imports: Probability/ConvexSupport, Analysis/Convex/PointwiseCompactness, Analysis/Convex/RadialExtension, Probability/MomentMeasure/ConjugateMass.

Theorems in source order:

Project result: The KLS conjecture.

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

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_Probability_ConvexSupport
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Convex_PointwiseCompactness
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Convex_RadialExtension
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_MomentMeasure_ConjugateMass
import Mathlib.MeasureTheory.Integral.Lebesgue.Add
import Mathlib.MeasureTheory.Integral.IntegrableOn
import Mathlib.MeasureTheory.Constructions.BorelSpace.Basic
import Mathlib.Topology.Instances.EReal.Lemmas

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Probability/MomentMeasure/Compactness.lean#L1-L286 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Probability.MomentMeasure.Compactness`, import-context bundle `KLSModular_FunctionalInequalities_Probability_MomentMeasure_Compactness`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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