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Import context: KLS/LogConcave/HeatSemigroup/ApproximateEigenfunction

Definition
KLSModular_FunctionalInequalities_KLS_LogConcave_HeatSemigroup_ApproximateEigenfunction

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.KLS.LogConcave.HeatSemigroup.ApproximateEigenfunction 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.Semigroup.Generated.ApproximateEigenvector and FunctionalInequalities.KLS.LogConcave.HeatSemigroup.Inverse.

Original module imports

import FunctionalInequalities.Analysis.Semigroup.Generated.ApproximateEigenvector
import FunctionalInequalities.KLS.LogConcave.HeatSemigroup.Inverse

Module navigation

Direct project imports: Analysis/Semigroup/Generated/ApproximateEigenvector, KLS/LogConcave/HeatSemigroup/Inverse.

Theorems in source order:

  • exists_centered_unit_near_optimal
  • exists_centered_approx_eigenfunction

Project result: The KLS conjecture.

Original module · FunctionalInequalities.KLS.LogConcave.HeatSemigroup.ApproximateEigenfunction · Frozen source 408915f.

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Semigroup_Generated_ApproximateEigenvector
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_HeatSemigroup_Inverse

Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/KLS/LogConcave/HeatSemigroup/ApproximateEigenfunction.lean#L1-L163 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.LogConcave.HeatSemigroup.ApproximateEigenfunction`, import-context bundle `KLSModular_FunctionalInequalities_KLS_LogConcave_HeatSemigroup_ApproximateEigenfunction`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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