Import context: Probability/Covariance/Intrinsic

Definition

KLSModular_FunctionalInequalities_Probability_Covariance_Intrinsic

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.Intrinsic 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.AffineSupport and FunctionalInequalities.Probability.Covariance.Basic. It also directly imports the external prerequisite modules Mathlib.Analysis.InnerProductSpace.Projection.FiniteDimensional, Mathlib.Analysis.InnerProductSpace.Adjoint, and Mathlib.Analysis.Convex.Integral.

Original module imports

import FunctionalInequalities.Probability.AffineSupport
import FunctionalInequalities.Probability.Covariance.Basic
import Mathlib.Analysis.InnerProductSpace.Projection.FiniteDimensional
import Mathlib.Analysis.InnerProductSpace.Adjoint
import Mathlib.Analysis.Convex.Integral

Module navigation

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

Theorems in source order:

Project result: The KLS conjecture.

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

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_Probability_AffineSupport
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_Covariance_Basic
import Mathlib.Analysis.InnerProductSpace.Projection.FiniteDimensional
import Mathlib.Analysis.InnerProductSpace.Adjoint
import Mathlib.Analysis.Convex.Integral

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Probability/Covariance/Intrinsic.lean#L1-L225 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Probability.Covariance.Intrinsic`, import-context bundle `KLSModular_FunctionalInequalities_Probability_Covariance_Intrinsic`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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