Import context: KLS/BKL/Reduction

Definition

KLSModular_FunctionalInequalities_KLS_BKL_Reduction

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.BKL.Reduction 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.KLS.BKL.TaylorBound, FunctionalInequalities.KLS.BKL.PoissonIterate.Criterion, FunctionalInequalities.Analysis.BakryEmery.Tilt.LocalDerivatives, and FunctionalInequalities.KLS.LogConcave.IsotropicReduction.

Original module imports

import FunctionalInequalities.KLS.BKL.TaylorBound
import FunctionalInequalities.KLS.BKL.PoissonIterate.Criterion
import FunctionalInequalities.Analysis.BakryEmery.Tilt.LocalDerivatives
import FunctionalInequalities.KLS.LogConcave.IsotropicReduction

Module navigation

Direct project imports: KLS/BKL/TaylorBound, KLS/BKL/PoissonIterate/Criterion, Analysis/BakryEmery/Tilt/LocalDerivatives, KLS/LogConcave/IsotropicReduction.

Theorems in source order:

Project result: The KLS conjecture.

Original module · FunctionalInequalities.KLS.BKL.Reduction · Frozen source 408915f.

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_TaylorBound
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_PoissonIterate_Criterion
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_Tilt_LocalDerivatives
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_IsotropicReduction

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/KLS/BKL/Reduction.lean#L1-L351 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.BKL.Reduction`, import-context bundle `KLSModular_FunctionalInequalities_KLS_BKL_Reduction`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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