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Import context: KLS/LogConcave/WeightedGradient/Energy

Definition
KLSModular_FunctionalInequalities_KLS_LogConcave_WeightedGradient_Energy

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.LogConcave.WeightedGradient.Energy 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.LogConcave.WeightedGradient.Closure, FunctionalInequalities.Energy.Cheeger.Identification, and FunctionalInequalities.Energy.SmoothGradient.Core.

Original module imports

import FunctionalInequalities.KLS.LogConcave.WeightedGradient.Closure
import FunctionalInequalities.Energy.Cheeger.Identification
import FunctionalInequalities.Energy.SmoothGradient.Core

Module navigation

Direct project imports: KLS/LogConcave/WeightedGradient/Closure, Energy/Cheeger/Identification, Energy/SmoothGradient/Core.

Theorems in source order:

Project result: The KLS conjecture.

Original module · FunctionalInequalities.KLS.LogConcave.WeightedGradient.Energy · Frozen source 408915f.

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_WeightedGradient_Closure
import Definitions.Def_KLSModular_FunctionalInequalities_Energy_Cheeger_Identification
import Definitions.Def_KLSModular_FunctionalInequalities_Energy_SmoothGradient_Core
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/KLS/LogConcave/WeightedGradient/Energy.lean#L1-L143 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.LogConcave.WeightedGradient.Energy`, import-context bundle `KLSModular_FunctionalInequalities_KLS_LogConcave_WeightedGradient_Energy`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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