Prove2Me

Import context: Probability/Covariance/Whitening

Definition
KLSModular_FunctionalInequalities_Probability_Covariance_Whitening

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.Whitening 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.Probability.Covariance.Basic. It also directly imports the external prerequisite modules Mathlib.Analysis.InnerProductSpace.Adjoint, Mathlib.Analysis.InnerProductSpace.Spectrum, and Mathlib.Topology.Algebra.Module.FiniteDimension.

Original module imports

import FunctionalInequalities.Probability.Covariance.Basic
import Mathlib.Analysis.InnerProductSpace.Adjoint
import Mathlib.Analysis.InnerProductSpace.Spectrum
import Mathlib.Topology.Algebra.Module.FiniteDimension

Module navigation

Direct project imports: Probability/Covariance/Basic.

Theorems in source order:

Project result: The KLS conjecture.

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

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_Covariance_Basic
import Mathlib.Analysis.InnerProductSpace.Adjoint
import Mathlib.Analysis.InnerProductSpace.Spectrum
import Mathlib.Topology.Algebra.Module.FiniteDimension
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Probability/Covariance/Whitening.lean#L1-L170 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Probability.Covariance.Whitening`, import-context bundle `KLSModular_FunctionalInequalities_Probability_Covariance_Whitening`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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