Import context: Analysis/Convex/LegendreVariation/Derivative

Definition

KLSModular_FunctionalInequalities_Analysis_Convex_LegendreVariation_Derivative

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.LegendreVariation.Derivative 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.LegendreVariation.Attainment and FunctionalInequalities.Analysis.Convex.LegendreVariation.Perturbation. It also directly imports the external prerequisite modules Mathlib.Analysis.Calculus.Gradient.Basic and Mathlib.Analysis.Calculus.FDeriv.Basic.

Original module imports

import FunctionalInequalities.Analysis.Convex.LegendreVariation.Attainment
import FunctionalInequalities.Analysis.Convex.LegendreVariation.Perturbation
import Mathlib.Analysis.Calculus.Gradient.Basic
import Mathlib.Analysis.Calculus.FDeriv.Basic

Module navigation

Direct project imports: Analysis/Convex/LegendreVariation/Attainment, Analysis/Convex/LegendreVariation/Perturbation.

Theorems in source order:

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Analysis.Convex.LegendreVariation.Derivative · Frozen source 408915f.

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Convex_LegendreVariation_Attainment
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Convex_LegendreVariation_Perturbation
import Mathlib.Analysis.Calculus.Gradient.Basic
import Mathlib.Analysis.Calculus.FDeriv.Basic

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Analysis/Convex/LegendreVariation/Derivative.lean#L1-L440 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Analysis.Convex.LegendreVariation.Derivative`, import-context bundle `KLSModular_FunctionalInequalities_Analysis_Convex_LegendreVariation_Derivative`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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