Import context: Energy/Relaxation/Quadratic

Definition

KLSModular_FunctionalInequalities_Energy_Relaxation_Quadratic

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.Relaxation.Quadratic 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.ClosedQuadratic, FunctionalInequalities.Energy.Form.QuadraticPreEnergy, FunctionalInequalities.Energy.Relaxation.LowerSemicontinuous, and FunctionalInequalities.Energy.Relaxation.Recovery. It also directly imports the external prerequisite modules Mathlib.Data.ENNReal.Inv and Mathlib.Order.Filter.ENNReal.

Original module imports

import FunctionalInequalities.Energy.Form.ClosedQuadratic
import FunctionalInequalities.Energy.Form.QuadraticPreEnergy
import FunctionalInequalities.Energy.Relaxation.LowerSemicontinuous
import FunctionalInequalities.Energy.Relaxation.Recovery
import Mathlib.Data.ENNReal.Inv
import Mathlib.Order.Filter.ENNReal

Module navigation

Direct project imports: Energy/Form/ClosedQuadratic, Energy/Form/QuadraticPreEnergy, Energy/Relaxation/LowerSemicontinuous, Energy/Relaxation/Recovery.

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Energy.Relaxation.Quadratic · Frozen source 408915f.

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_Energy_Form_ClosedQuadratic
import Definitions.Def_KLSModular_FunctionalInequalities_Energy_Form_QuadraticPreEnergy
import Definitions.Def_KLSModular_FunctionalInequalities_Energy_Relaxation_LowerSemicontinuous
import Definitions.Def_KLSModular_FunctionalInequalities_Energy_Relaxation_Recovery
import Mathlib.Data.ENNReal.Inv
import Mathlib.Order.Filter.ENNReal

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Energy/Relaxation/Quadratic.lean#L1-L256 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Energy.Relaxation.Quadratic`, import-context bundle `KLSModular_FunctionalInequalities_Energy_Relaxation_Quadratic`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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