Prove2Me

Import context: Energy/CovarianceGradient/Isometry

Definition
KLSModular_FunctionalInequalities_Energy_CovarianceGradient_Isometry

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

functional-inequalitiesimport-contextklskls-conjecturekls-modularlog-concavemodule-context

This bundle retains the import context of the source module FunctionalInequalities.Energy.CovarianceGradient.Isometry 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.L2.Transport and FunctionalInequalities.Energy.CovarianceGradient.Translation. It also directly imports the external prerequisite module Mathlib.Analysis.InnerProductSpace.Adjoint.

Original module imports

import FunctionalInequalities.L2.Transport
import FunctionalInequalities.Energy.CovarianceGradient.Translation
import Mathlib.Analysis.InnerProductSpace.Adjoint

Module navigation

Direct project imports: L2/Transport, Energy/CovarianceGradient/Translation.

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Energy.CovarianceGradient.Isometry · Frozen source 408915f.

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_L2_Transport
import Definitions.Def_KLSModular_FunctionalInequalities_Energy_CovarianceGradient_Translation
import Mathlib.Analysis.InnerProductSpace.Adjoint
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Energy/CovarianceGradient/Isometry.lean#L1-L181 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Energy.CovarianceGradient.Isometry`, import-context bundle `KLSModular_FunctionalInequalities_Energy_CovarianceGradient_Isometry`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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