Import context: KLS/BKL/TaylorBound

Definition

KLSModular_FunctionalInequalities_KLS_BKL_TaylorBound

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.TaylorBound 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.Suspension.Density, FunctionalInequalities.KLS.BKL.Suspension.Cumulant, FunctionalInequalities.KLS.BKL.Suspension.Derivatives, FunctionalInequalities.KLS.BKL.Suspension.Moments, FunctionalInequalities.KLS.LogConcave.Regular.Basic, FunctionalInequalities.Analysis.BakryEmery.Calculus, FunctionalInequalities.Analysis.BakryEmery.Tilt.SquareIntegrable, FunctionalInequalities.L2.AffineDecomposition, and FunctionalInequalities.KLS.BKL.Suspension.Law. It also directly imports the external prerequisite module Mathlib.Analysis.Normed.Lp.SmoothApprox.

Original module imports

import FunctionalInequalities.KLS.BKL.Suspension.Density
import FunctionalInequalities.KLS.BKL.Suspension.Cumulant
import FunctionalInequalities.KLS.BKL.Suspension.Derivatives
import FunctionalInequalities.KLS.BKL.Suspension.Moments
import FunctionalInequalities.KLS.LogConcave.Regular.Basic
import Mathlib.Analysis.Normed.Lp.SmoothApprox
import FunctionalInequalities.Analysis.BakryEmery.Calculus
import FunctionalInequalities.Analysis.BakryEmery.Tilt.SquareIntegrable
import FunctionalInequalities.L2.AffineDecomposition
import FunctionalInequalities.KLS.BKL.Suspension.Law

Module navigation

Direct project imports: KLS/BKL/Suspension/Density, KLS/BKL/Suspension/Cumulant, KLS/BKL/Suspension/Derivatives, KLS/BKL/Suspension/Moments, KLS/LogConcave/Regular/Basic, Analysis/BakryEmery/Calculus, Analysis/BakryEmery/Tilt/SquareIntegrable, L2/AffineDecomposition, KLS/BKL/Suspension/Law.

Theorems in source order:

Project result: The KLS conjecture.

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

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Suspension_Density
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Suspension_Cumulant
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Suspension_Derivatives
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Suspension_Moments
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_Regular_Basic
import Mathlib.Analysis.Normed.Lp.SmoothApprox
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_Calculus
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_Tilt_SquareIntegrable
import Definitions.Def_KLSModular_FunctionalInequalities_L2_AffineDecomposition
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_BKL_Suspension_Law

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/KLS/BKL/TaylorBound.lean#L1-L587 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.BKL.TaylorBound`, import-context bundle `KLSModular_FunctionalInequalities_KLS_BKL_TaylorBound`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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