Import context: Probability/ConvexSupport

Definition

KLSModular_FunctionalInequalities_Probability_ConvexSupport

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.ConvexSupport in the modular KLS dependency graph. It adds no new mathematical declarations. Substantive statements and proofs are represented by separate theorem nodes.

It also directly imports the external prerequisite modules Mathlib.Analysis.InnerProductSpace.Basic, Mathlib.Analysis.InnerProductSpace.Continuous, Mathlib.Analysis.Normed.Module.FiniteDimension, Mathlib.Analysis.Convex.Hull, Mathlib.Analysis.Convex.Topology, Mathlib.MeasureTheory.Measure.ProbabilityMeasure, Mathlib.MeasureTheory.Measure.Support, Mathlib.Topology.Order.Compact, Mathlib.Analysis.Normed.Affine.AddTorsorBases, Mathlib.MeasureTheory.Integral.Lebesgue.Markov, Mathlib.Data.EReal.Operations, Mathlib.Analysis.Convex.Continuous, Mathlib.Analysis.LocallyConvex.Separation, Mathlib.Analysis.InnerProductSpace.Dual, Mathlib.MeasureTheory.Integral.Bochner.Basic, and Mathlib.MeasureTheory.Integral.Bochner.ContinuousLinearMap.

Original module imports

import Mathlib.Analysis.InnerProductSpace.Basic
import Mathlib.Analysis.InnerProductSpace.Continuous
import Mathlib.Analysis.Normed.Module.FiniteDimension
import Mathlib.Analysis.Convex.Hull
import Mathlib.Analysis.Convex.Topology
import Mathlib.MeasureTheory.Measure.ProbabilityMeasure
import Mathlib.MeasureTheory.Measure.Support
import Mathlib.Topology.Order.Compact
import Mathlib.Analysis.Normed.Affine.AddTorsorBases
import Mathlib.MeasureTheory.Integral.Lebesgue.Markov
import Mathlib.Data.EReal.Operations
import Mathlib.Analysis.Convex.Continuous
import Mathlib.Analysis.LocallyConvex.Separation
import Mathlib.Analysis.InnerProductSpace.Dual
import Mathlib.MeasureTheory.Integral.Bochner.Basic
import Mathlib.MeasureTheory.Integral.Bochner.ContinuousLinearMap

Module navigation

Theorems in source order:

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Probability.ConvexSupport · Frozen source 408915f.

Definition code

import Mathlib.Analysis.InnerProductSpace.Basic
import Mathlib.Analysis.InnerProductSpace.Continuous
import Mathlib.Analysis.Normed.Module.FiniteDimension
import Mathlib.Analysis.Convex.Hull
import Mathlib.Analysis.Convex.Topology
import Mathlib.MeasureTheory.Measure.ProbabilityMeasure
import Mathlib.MeasureTheory.Measure.Support
import Mathlib.Topology.Order.Compact
import Mathlib.Analysis.Normed.Affine.AddTorsorBases
import Mathlib.MeasureTheory.Integral.Lebesgue.Markov
import Mathlib.Data.EReal.Operations
import Mathlib.Analysis.Convex.Continuous
import Mathlib.Analysis.LocallyConvex.Separation
import Mathlib.Analysis.InnerProductSpace.Dual
import Mathlib.MeasureTheory.Integral.Bochner.Basic
import Mathlib.MeasureTheory.Integral.Bochner.ContinuousLinearMap

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Probability/ConvexSupport.lean#L1-L778 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Probability.ConvexSupport`, import-context bundle `KLSModular_FunctionalInequalities_Probability_ConvexSupport`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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