Import context: Energy/DualNorm

Definition

KLSModular_FunctionalInequalities_Energy_DualNorm

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.DualNorm 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.L2.Pairing. It also directly imports the external prerequisite modules Mathlib.Analysis.Calculus.Gradient.Basic, Mathlib.Topology.MetricSpace.Lipschitz, and Mathlib.MeasureTheory.Measure.ProbabilityMeasure.

Original module imports

import FunctionalInequalities.L2.Pairing
import Mathlib.Analysis.Calculus.Gradient.Basic
import Mathlib.Topology.MetricSpace.Lipschitz
import Mathlib.MeasureTheory.Measure.ProbabilityMeasure

Module navigation

Direct project imports: L2/Pairing.

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Energy.DualNorm · Frozen source 408915f.

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_L2_Pairing
import Mathlib.Analysis.Calculus.Gradient.Basic
import Mathlib.Topology.MetricSpace.Lipschitz
import Mathlib.MeasureTheory.Measure.ProbabilityMeasure

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Energy/DualNorm.lean#L1-L147 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Energy.DualNorm`, import-context bundle `KLSModular_FunctionalInequalities_Energy_DualNorm`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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