Import context: Energy/SmoothGradient/Closed

Definition

KLSModular_FunctionalInequalities_Energy_SmoothGradient_Closed

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.Energy.SmoothGradient.Closed 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.Energy.SmoothGradient.Density, FunctionalInequalities.Energy.SmoothGradient.Quadratic, and FunctionalInequalities.Energy.Relaxation.Quadratic.

Original module imports

import FunctionalInequalities.Energy.SmoothGradient.Density
import FunctionalInequalities.Energy.SmoothGradient.Quadratic
import FunctionalInequalities.Energy.Relaxation.Quadratic

Module navigation

Direct project imports: Energy/SmoothGradient/Density, Energy/SmoothGradient/Quadratic, Energy/Relaxation/Quadratic.

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Energy.SmoothGradient.Closed · Frozen source 408915f.

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_Energy_SmoothGradient_Density
import Definitions.Def_KLSModular_FunctionalInequalities_Energy_SmoothGradient_Quadratic
import Definitions.Def_KLSModular_FunctionalInequalities_Energy_Relaxation_Quadratic

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Energy/SmoothGradient/Closed.lean#L1-L37 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Energy.SmoothGradient.Closed`, import-context bundle `KLSModular_FunctionalInequalities_Energy_SmoothGradient_Closed`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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