Prove2Me

Import context: Probability/QuadraticVariance

Definition
KLSModular_FunctionalInequalities_Probability_QuadraticVariance

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.QuadraticVariance 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.Matrix.Sign, FunctionalInequalities.L2.MeanVariance, FunctionalInequalities.Probability.ProductVariance, and FunctionalInequalities.Probability.Moments.

Original module imports

import FunctionalInequalities.Analysis.Matrix.Sign
import FunctionalInequalities.L2.MeanVariance
import FunctionalInequalities.Probability.ProductVariance
import FunctionalInequalities.Probability.Moments

Module navigation

Direct project imports: Analysis/Matrix/Sign, L2/MeanVariance, Probability/ProductVariance, Probability/Moments.

Theorems in source order:

Project result: The KLS conjecture.

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

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Matrix_Sign
import Definitions.Def_KLSModular_FunctionalInequalities_L2_MeanVariance
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_ProductVariance
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_Moments
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Probability/QuadraticVariance.lean#L1-L163 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Probability.QuadraticVariance`, import-context bundle `KLSModular_FunctionalInequalities_Probability_QuadraticVariance`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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