Import context: KLS/CEK/VariationalMaximum

Definition

KLSModular_FunctionalInequalities_KLS_CEK_VariationalMaximum

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.VariationalMaximum 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.Competitors, FunctionalInequalities.Probability.MomentMeasure.Baseline, FunctionalInequalities.Probability.MomentMeasure.Compactness, and FunctionalInequalities.Probability.MomentMeasure.ConjugateMass. It also directly imports the external prerequisite modules Mathlib.Topology.Sequences and Mathlib.Topology.Order.IsLUB.

Original module imports

import FunctionalInequalities.KLS.CEK.Competitors
import FunctionalInequalities.Probability.MomentMeasure.Baseline
import FunctionalInequalities.Probability.MomentMeasure.Compactness
import FunctionalInequalities.Probability.MomentMeasure.ConjugateMass
import Mathlib.Topology.Sequences
import Mathlib.Topology.Order.IsLUB

Module navigation

Direct project imports: KLS/CEK/Competitors, Probability/MomentMeasure/Baseline, Probability/MomentMeasure/Compactness, Probability/MomentMeasure/ConjugateMass.

Theorems in source order:

Project result: The KLS conjecture.

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

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_KLS_CEK_Competitors
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_MomentMeasure_Baseline
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_MomentMeasure_Compactness
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_MomentMeasure_ConjugateMass
import Mathlib.Topology.Sequences
import Mathlib.Topology.Order.IsLUB

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/KLS/CEK/VariationalMaximum.lean#L1-L216 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.CEK.VariationalMaximum`, import-context bundle `KLSModular_FunctionalInequalities_KLS_CEK_VariationalMaximum`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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