Import context: Energy/SmoothGradient/Dirichlet

Definition

KLSModular_FunctionalInequalities_Energy_SmoothGradient_Dirichlet

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.Dirichlet 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.Form.Dirichlet, FunctionalInequalities.Energy.Euclidean.LipschitzApproximation.Kernel, FunctionalInequalities.Energy.Relaxation.Contraction, FunctionalInequalities.Energy.SmoothGradient.Closed, and FunctionalInequalities.Energy.SmoothGradient.Intrinsic.Closed.

Original module imports

import FunctionalInequalities.Energy.Form.Dirichlet
import FunctionalInequalities.Energy.Euclidean.LipschitzApproximation.Kernel
import FunctionalInequalities.Energy.Relaxation.Contraction
import FunctionalInequalities.Energy.SmoothGradient.Closed
import FunctionalInequalities.Energy.SmoothGradient.Intrinsic.Closed

Module navigation

Direct project imports: Energy/Form/Dirichlet, Energy/Euclidean/LipschitzApproximation/Kernel, Energy/Relaxation/Contraction, Energy/SmoothGradient/Closed, Energy/SmoothGradient/Intrinsic/Closed.

Project result: The KLS conjecture.

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

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_Energy_Form_Dirichlet
import Definitions.Def_KLSModular_FunctionalInequalities_Energy_Euclidean_LipschitzApproximation_Kernel
import Definitions.Def_KLSModular_FunctionalInequalities_Energy_Relaxation_Contraction
import Definitions.Def_KLSModular_FunctionalInequalities_Energy_SmoothGradient_Closed
import Definitions.Def_KLSModular_FunctionalInequalities_Energy_SmoothGradient_Intrinsic_Closed

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Energy/SmoothGradient/Dirichlet.lean#L1-L222 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Energy.SmoothGradient.Dirichlet`, import-context bundle `KLSModular_FunctionalInequalities_Energy_SmoothGradient_Dirichlet`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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