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Import context: Analysis/Convex/GradientLipschitz

Definition
KLSModular_FunctionalInequalities_Analysis_Convex_GradientLipschitz

by Lazyfill · Oct 25, 2026 · Mathlib 0df444a (Lean v4.33.1)

analysisfunctional-inequalitiesimport-contextklskls-conjecturekls-modularlog-concavemodule-context

This bundle retains the import context of the source module FunctionalInequalities.Analysis.Convex.GradientLipschitz 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.Analysis.Convex.Viscosity, FunctionalInequalities.Analysis.Convex.Alexandrov, FunctionalInequalities.Analysis.Convex.Coercivity, and FunctionalInequalities.Analysis.Convex.SecondDifference.

Original module imports

import FunctionalInequalities.Analysis.Convex.Viscosity
import FunctionalInequalities.Analysis.Convex.Alexandrov
import FunctionalInequalities.Analysis.Convex.Coercivity
import FunctionalInequalities.Analysis.Convex.SecondDifference

Module navigation

Direct project imports: Analysis/Convex/Viscosity, Analysis/Convex/Alexandrov, Analysis/Convex/Coercivity, Analysis/Convex/SecondDifference.

Theorems in source order:

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Analysis.Convex.GradientLipschitz · Frozen source 408915f.

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Convex_Viscosity
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Convex_Alexandrov
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Convex_Coercivity
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Convex_SecondDifference
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Analysis/Convex/GradientLipschitz.lean#L1-L199 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Analysis.Convex.GradientLipschitz`, import-context bundle `KLSModular_FunctionalInequalities_Analysis_Convex_GradientLipschitz`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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