Import context: Probability/Moments

Definition

KLSModular_FunctionalInequalities_Probability_Moments

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.Moments 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.Matrix.Trace.Algebra. It also directly imports the external prerequisite modules Mathlib.MeasureTheory.Function.LpSeminorm.Basic, Mathlib.MeasureTheory.Function.StronglyMeasurable.Basic, Mathlib.MeasureTheory.Measure.ProbabilityMeasure, Mathlib.Analysis.InnerProductSpace.PiL2, Mathlib.Analysis.Normed.Lp.MeasurableSpace, Mathlib.MeasureTheory.Integral.Bochner.Basic, Mathlib.Probability.Moments.Variance, Mathlib.MeasureTheory.Integral.Bochner.Set, and Mathlib.MeasureTheory.Measure.Real.

Original module imports

import Mathlib.MeasureTheory.Function.LpSeminorm.Basic
import Mathlib.MeasureTheory.Function.StronglyMeasurable.Basic
import Mathlib.MeasureTheory.Measure.ProbabilityMeasure
import Mathlib.Analysis.InnerProductSpace.PiL2
import Mathlib.Analysis.Normed.Lp.MeasurableSpace
import Mathlib.MeasureTheory.Integral.Bochner.Basic
import Mathlib.Probability.Moments.Variance
import Mathlib.MeasureTheory.Integral.Bochner.Set
import Mathlib.MeasureTheory.Measure.Real
import FunctionalInequalities.Analysis.Matrix.Trace.Algebra

Module navigation

Direct project imports: Analysis/Matrix/Trace/Algebra.

Theorems in source order:

Project result: The KLS conjecture.

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

Definition code

import Mathlib.MeasureTheory.Function.LpSeminorm.Basic
import Mathlib.MeasureTheory.Function.StronglyMeasurable.Basic
import Mathlib.MeasureTheory.Measure.ProbabilityMeasure
import Mathlib.Analysis.InnerProductSpace.PiL2
import Mathlib.Analysis.Normed.Lp.MeasurableSpace
import Mathlib.MeasureTheory.Integral.Bochner.Basic
import Mathlib.Probability.Moments.Variance
import Mathlib.MeasureTheory.Integral.Bochner.Set
import Mathlib.MeasureTheory.Measure.Real
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Matrix_Trace_Algebra

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Probability/Moments.lean#L1-L585 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Probability.Moments`, import-context bundle `KLSModular_FunctionalInequalities_Probability_Moments`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

View graph