Prove2Me

Import context: KLS/CEK/BoundedPrimal

Definition
KLSModular_FunctionalInequalities_KLS_CEK_BoundedPrimal

by Lazyfill · Oct 25, 2026 · Mathlib 0df444a (Lean v4.33.1)

functional-inequalitiesimport-contextklskls-conjecturekls-modularlog-concavemodule-context

This bundle retains the import context of the source module FunctionalInequalities.KLS.CEK.BoundedPrimal 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.KLS.CEK.VariationalMaximum, FunctionalInequalities.KLS.Isotropic, FunctionalInequalities.Probability.Covariance.Positivity, FunctionalInequalities.Probability.MomentMeasure.Integrability, and FunctionalInequalities.Analysis.Convex.BoundedConjugate.

Original module imports

import FunctionalInequalities.KLS.CEK.VariationalMaximum
import FunctionalInequalities.KLS.Isotropic
import FunctionalInequalities.Probability.Covariance.Positivity
import FunctionalInequalities.Probability.MomentMeasure.Integrability
import FunctionalInequalities.Analysis.Convex.BoundedConjugate

Module navigation

Direct project imports: KLS/CEK/VariationalMaximum, KLS/Isotropic, Probability/Covariance/Positivity, Probability/MomentMeasure/Integrability, Analysis/Convex/BoundedConjugate.

Theorems in source order:

Project result: The KLS conjecture.

Original module · FunctionalInequalities.KLS.CEK.BoundedPrimal · Frozen source 408915f.

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_CEK_VariationalMaximum
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_Isotropic
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_Covariance_Positivity
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_MomentMeasure_Integrability
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Convex_BoundedConjugate
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/KLS/CEK/BoundedPrimal.lean#L1-L391 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.CEK.BoundedPrimal`, import-context bundle `KLSModular_FunctionalInequalities_KLS_CEK_BoundedPrimal`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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