Prove2Me

Import context: Poincare/SmoothTest/Transport

Definition
KLSModular_FunctionalInequalities_Poincare_SmoothTest_Transport

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

functional-inequalitiesimport-contextklskls-conjecturekls-modularlog-concavemodule-contextpoincare-inequality

This bundle retains the import context of the source module FunctionalInequalities.Poincare.SmoothTest.Transport 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 module is FunctionalInequalities.Poincare.SmoothTest.Basic. It also directly imports the external prerequisite modules Mathlib.Analysis.InnerProductSpace.Adjoint and Mathlib.Analysis.Calculus.ContDiff.Operations.

Original module imports

import FunctionalInequalities.Poincare.SmoothTest.Basic
import Mathlib.Analysis.InnerProductSpace.Adjoint
import Mathlib.Analysis.Calculus.ContDiff.Operations

Module navigation

Direct project imports: Poincare/SmoothTest/Basic.

Theorems in source order:

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Poincare.SmoothTest.Transport · Frozen source 408915f.

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_Poincare_SmoothTest_Basic
import Mathlib.Analysis.InnerProductSpace.Adjoint
import Mathlib.Analysis.Calculus.ContDiff.Operations
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Poincare/SmoothTest/Transport.lean#L1-L298 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Poincare.SmoothTest.Transport`, import-context bundle `KLSModular_FunctionalInequalities_Poincare_SmoothTest_Transport`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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