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Import context: BrownianMotion/Auxiliary/Jensen

Definition
KLSModular_BrownianMotion_Auxiliary_Jensen

by Lazyfill · Oct 25, 2026 · Mathlib 0df444a (Lean v4.33.1)

functional-inequalitiesimport-contextklskls-conjecturekls-modularlog-concavemodule-contextvendored-brownianmotion

This bundle retains the import context of the source module BrownianMotion.Auxiliary.Jensen 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 BrownianMotion.Auxiliary.Analysis and BrownianMotion.Auxiliary.ENNReal. It also directly imports the external prerequisite modules Mathlib.MeasureTheory.Function.ConditionalExpectation.CondJensen, Mathlib.MeasureTheory.Function.UniformIntegrable, and Mathlib.MeasureTheory.Function.ConditionalExpectation.Real.

Original module imports

public import BrownianMotion.Auxiliary.Analysis
public import BrownianMotion.Auxiliary.ENNReal
public import Mathlib.MeasureTheory.Function.ConditionalExpectation.CondJensen
public import Mathlib.MeasureTheory.Function.UniformIntegrable
public import Mathlib.MeasureTheory.Function.ConditionalExpectation.Real

Module navigation

Direct project imports: BrownianMotion/Auxiliary/Analysis, BrownianMotion/Auxiliary/ENNReal.

Project result: The KLS conjecture.

Original module · BrownianMotion.Auxiliary.Jensen · Frozen source 408915f.

Definition code
import Definitions.Def_KLSModular_BrownianMotion_Auxiliary_Analysis
import Definitions.Def_KLSModular_BrownianMotion_Auxiliary_ENNReal
import Mathlib.MeasureTheory.Function.ConditionalExpectation.CondJensen
import Mathlib.MeasureTheory.Function.UniformIntegrable
import Mathlib.MeasureTheory.Function.ConditionalExpectation.Real

/-
Copyright (c) 2025 Rémy Degenne. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Rémy Degenne
-/
-- Vendored from https://github.com/RemyDegenne/brownian-motion at commit a7ad7af662044313bc80a7c0756360fb3745f931 (upstream path BrownianMotion/Auxiliary/Jensen.lean; Apache-2.0; provenance in formalization/vendor/vendor-lock.json of the KLS repository)
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/vendor/BrownianMotion/BrownianMotion/Auxiliary/Jensen.lean#L1-L153 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `BrownianMotion.Auxiliary.Jensen`, import-context bundle `KLSModular_BrownianMotion_Auxiliary_Jensen`). The line range identifies the complete original source module; this bundle preserves only its direct import context. Vendored from https://github.com/RemyDegenne/brownian-motion at commit a7ad7af662044313bc80a7c0756360fb3745f931 (Apache-2.0); upstream source: https://github.com/RemyDegenne/brownian-motion/blob/a7ad7af662044313bc80a7c0756360fb3745f931/BrownianMotion/Auxiliary/Jensen.lean. Original vendor notices are retained in the generated Lean text.

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