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Import context: Analysis/Convex/HessianRegularity

Definition
KLSModular_FunctionalInequalities_Analysis_Convex_HessianRegularity

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.HessianRegularity 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.HessianIncrement, FunctionalInequalities.Analysis.WeakDerivative.Basic, FunctionalInequalities.Analysis.WeakDerivative.Mollification, FunctionalInequalities.Analysis.WeakDerivative.Approximation, and FunctionalInequalities.Analysis.Matrix.Positivity.

Original module imports

import FunctionalInequalities.Analysis.Convex.HessianIncrement
import FunctionalInequalities.Analysis.WeakDerivative.Basic
import FunctionalInequalities.Analysis.WeakDerivative.Mollification
import FunctionalInequalities.Analysis.WeakDerivative.Approximation
import FunctionalInequalities.Analysis.Matrix.Positivity

Module navigation

Direct project imports: Analysis/Convex/HessianIncrement, Analysis/WeakDerivative/Basic, Analysis/WeakDerivative/Mollification, Analysis/WeakDerivative/Approximation, Analysis/Matrix/Positivity.

Theorems in source order:

Project result: The KLS conjecture.

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

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Convex_HessianIncrement
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_WeakDerivative_Basic
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_WeakDerivative_Mollification
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_WeakDerivative_Approximation
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Matrix_Positivity
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Analysis/Convex/HessianRegularity.lean#L1-L151 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Analysis.Convex.HessianRegularity`, import-context bundle `KLSModular_FunctionalInequalities_Analysis_Convex_HessianRegularity`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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