Prove2Me

Import context: Energy/SmoothGradient/Density

Definition
KLSModular_FunctionalInequalities_Energy_SmoothGradient_Density

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.Density 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 module is FunctionalInequalities.Energy.SmoothGradient.Basic. It also directly imports the external prerequisite modules Mathlib.Analysis.Calculus.FDeriv.Const, Mathlib.Analysis.Normed.Lp.SmoothApprox, and Mathlib.MeasureTheory.Function.LocallyIntegrable.

Original module imports

import FunctionalInequalities.Energy.SmoothGradient.Basic
import Mathlib.Analysis.Calculus.FDeriv.Const
import Mathlib.Analysis.Normed.Lp.SmoothApprox
import Mathlib.MeasureTheory.Function.LocallyIntegrable

Module navigation

Direct project imports: Energy/SmoothGradient/Basic.

Project result: The KLS conjecture.

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

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_Energy_SmoothGradient_Basic
import Mathlib.Analysis.Calculus.FDeriv.Const
import Mathlib.Analysis.Normed.Lp.SmoothApprox
import Mathlib.MeasureTheory.Function.LocallyIntegrable
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Energy/SmoothGradient/Density.lean#L1-L74 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Energy.SmoothGradient.Density`, import-context bundle `KLSModular_FunctionalInequalities_Energy_SmoothGradient_Density`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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