Prove2Me

Import context: Analysis/BakryEmery/IteratedDerivative

Definition
KLSModular_FunctionalInequalities_Analysis_BakryEmery_IteratedDerivative

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.BakryEmery.IteratedDerivative in the modular KLS dependency graph. It adds no new mathematical declarations. Substantive statements and proofs are represented by separate theorem nodes.

It also directly imports the external prerequisite modules Mathlib.Analysis.InnerProductSpace.Calculus, Mathlib.Analysis.Calculus.FDeriv.Symmetric, Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries, Mathlib.Analysis.Calculus.BumpFunction.Normed, and Mathlib.Analysis.Calculus.BumpFunction.InnerProduct.

Original module imports

import Mathlib.Analysis.InnerProductSpace.Calculus
import Mathlib.Analysis.Calculus.FDeriv.Symmetric
import Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries
import Mathlib.Analysis.Calculus.BumpFunction.Normed
import Mathlib.Analysis.Calculus.BumpFunction.InnerProduct

Module navigation

Theorems in source order:

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Analysis.BakryEmery.IteratedDerivative · Frozen source 408915f.

Definition code
import Mathlib.Analysis.InnerProductSpace.Calculus
import Mathlib.Analysis.Calculus.FDeriv.Symmetric
import Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries
import Mathlib.Analysis.Calculus.BumpFunction.Normed
import Mathlib.Analysis.Calculus.BumpFunction.InnerProduct
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Analysis/BakryEmery/IteratedDerivative.lean#L1-L445 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Analysis.BakryEmery.IteratedDerivative`, import-context bundle `KLSModular_FunctionalInequalities_Analysis_BakryEmery_IteratedDerivative`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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