Prove2Me

Import context: Analysis/Convex/LegendreVariation/Attainment

Definition
KLSModular_FunctionalInequalities_Analysis_Convex_LegendreVariation_Attainment

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.Attainment 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.Extremum, FunctionalInequalities.Analysis.Convex.AffineMaximum, and FunctionalInequalities.Analysis.Convex.Legendre. It also directly imports the external prerequisite modules Mathlib.Analysis.Calculus.LocalExtr.Basic, Mathlib.Analysis.InnerProductSpace.Calculus, and Mathlib.Analysis.Calculus.Gradient.Basic.

Original module imports

import FunctionalInequalities.Analysis.Extremum
import FunctionalInequalities.Analysis.Convex.AffineMaximum
import FunctionalInequalities.Analysis.Convex.Legendre
import Mathlib.Analysis.Calculus.LocalExtr.Basic
import Mathlib.Analysis.InnerProductSpace.Calculus
import Mathlib.Analysis.Calculus.Gradient.Basic

Module navigation

Direct project imports: Analysis/Extremum, Analysis/Convex/AffineMaximum, Analysis/Convex/Legendre.

Theorems in source order:

Project result: The KLS conjecture.

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

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Extremum
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Convex_AffineMaximum
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Convex_Legendre
import Mathlib.Analysis.Calculus.LocalExtr.Basic
import Mathlib.Analysis.InnerProductSpace.Calculus
import Mathlib.Analysis.Calculus.Gradient.Basic
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Analysis/Convex/LegendreVariation/Attainment.lean#L1-L374 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Analysis.Convex.LegendreVariation.Attainment`, import-context bundle `KLSModular_FunctionalInequalities_Analysis_Convex_LegendreVariation_Attainment`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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