Prove2Me

Import context: Analysis/BakryEmery/Cumulant/Truncation

Definition
KLSModular_FunctionalInequalities_Analysis_BakryEmery_Cumulant_Truncation

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.Cumulant.Truncation 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.BakryEmery.Cumulant.Basic and FunctionalInequalities.Analysis.BakryEmery.Tilt.LocalDerivatives. It also directly imports the external prerequisite module Mathlib.Probability.ConditionalProbability.

Original module imports

import FunctionalInequalities.Analysis.BakryEmery.Cumulant.Basic
import FunctionalInequalities.Analysis.BakryEmery.Tilt.LocalDerivatives
import Mathlib.Probability.ConditionalProbability

Module navigation

Direct project imports: Analysis/BakryEmery/Cumulant/Basic, Analysis/BakryEmery/Tilt/LocalDerivatives.

Theorems in source order:

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Analysis.BakryEmery.Cumulant.Truncation · Frozen source 408915f.

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_Cumulant_Basic
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_BakryEmery_Tilt_LocalDerivatives
import Mathlib.Probability.ConditionalProbability
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Analysis/BakryEmery/Cumulant/Truncation.lean#L1-L253 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Analysis.BakryEmery.Cumulant.Truncation`, import-context bundle `KLSModular_FunctionalInequalities_Analysis_BakryEmery_Cumulant_Truncation`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

View graph