Prove2Me

Import context: Analysis/Sard/Equidimensional

Definition
KLSModular_FunctionalInequalities_Analysis_Sard_Equidimensional

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.Sard.Equidimensional 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.Analysis.Vector.Coarea.FiberIntegral. It also directly imports the external prerequisite modules Mathlib.MeasureTheory.Measure.Hausdorff and Mathlib.MeasureTheory.Measure.Haar.InnerProductSpace.

Original module imports

import FunctionalInequalities.Analysis.Vector.Coarea.FiberIntegral
import Mathlib.MeasureTheory.Measure.Hausdorff
import Mathlib.MeasureTheory.Measure.Haar.InnerProductSpace

Module navigation

Direct project imports: Analysis/Vector/Coarea/FiberIntegral.

Theorems in source order:

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Analysis.Sard.Equidimensional · Frozen source 408915f.

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Vector_Coarea_FiberIntegral
import Mathlib.MeasureTheory.Measure.Hausdorff
import Mathlib.MeasureTheory.Measure.Haar.InnerProductSpace
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Analysis/Sard/Equidimensional.lean#L1-L151 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Analysis.Sard.Equidimensional`, import-context bundle `KLSModular_FunctionalInequalities_Analysis_Sard_Equidimensional`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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