Prove2Me

Import context: KLS/CEK/PartitionVariation

Definition
KLSModular_FunctionalInequalities_KLS_CEK_PartitionVariation

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.PartitionVariation 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.BoundedPrimal, FunctionalInequalities.Analysis.Convex.LegendreVariation.Derivative, and FunctionalInequalities.Analysis.Convex.LegendreVariation.Perturbation. It also directly imports the external prerequisite modules Mathlib.Analysis.Calculus.ParametricIntegral and Mathlib.Analysis.Calculus.Rademacher.

Original module imports

import Mathlib.Analysis.Calculus.ParametricIntegral
import Mathlib.Analysis.Calculus.Rademacher
import FunctionalInequalities.KLS.CEK.BoundedPrimal
import FunctionalInequalities.Analysis.Convex.LegendreVariation.Derivative
import FunctionalInequalities.Analysis.Convex.LegendreVariation.Perturbation

Module navigation

Direct project imports: KLS/CEK/BoundedPrimal, Analysis/Convex/LegendreVariation/Derivative, Analysis/Convex/LegendreVariation/Perturbation.

Theorems in source order:

Project result: The KLS conjecture.

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

Definition code
import Mathlib.Analysis.Calculus.ParametricIntegral
import Mathlib.Analysis.Calculus.Rademacher
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_CEK_BoundedPrimal
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Convex_LegendreVariation_Derivative
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Convex_LegendreVariation_Perturbation
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/KLS/CEK/PartitionVariation.lean#L1-L243 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.CEK.PartitionVariation`, import-context bundle `KLSModular_FunctionalInequalities_KLS_CEK_PartitionVariation`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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