Prove2Me

Import context: Probability/Covariance/Factorization

Definition
KLSModular_FunctionalInequalities_Probability_Covariance_Factorization

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.Covariance.Factorization 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.Covariance.Basic and FunctionalInequalities.Probability.AffineSupport. It also directly imports the external prerequisite module Mathlib.Analysis.InnerProductSpace.Spectrum.

Original module imports

import FunctionalInequalities.Probability.Covariance.Basic
import FunctionalInequalities.Probability.AffineSupport
import Mathlib.Analysis.InnerProductSpace.Spectrum

Module navigation

Direct project imports: Probability/Covariance/Basic, Probability/AffineSupport.

Theorems in source order:

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Probability.Covariance.Factorization · Frozen source 408915f.

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_Covariance_Basic
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_AffineSupport
import Mathlib.Analysis.InnerProductSpace.Spectrum
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Probability/Covariance/Factorization.lean#L1-L102 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Probability.Covariance.Factorization`, import-context bundle `KLSModular_FunctionalInequalities_Probability_Covariance_Factorization`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

View graph