Import context: Poincare/SmoothTest/Comparison

Definition

KLSModular_FunctionalInequalities_Poincare_SmoothTest_Comparison

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.Comparison 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.Poincare.SmoothTest.Basic, FunctionalInequalities.Poincare.SmoothGradient.Comparison, and FunctionalInequalities.Poincare.Relaxation.

Original module imports

import FunctionalInequalities.Poincare.SmoothTest.Basic
import FunctionalInequalities.Poincare.SmoothGradient.Comparison
import FunctionalInequalities.Poincare.Relaxation

Module navigation

Direct project imports: Poincare/SmoothTest/Basic, Poincare/SmoothGradient/Comparison, Poincare/Relaxation.

Theorems in source order:

holds_iff_preEnergy

Project result: The KLS conjecture.

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

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_Poincare_SmoothTest_Basic
import Definitions.Def_KLSModular_FunctionalInequalities_Poincare_SmoothGradient_Comparison
import Definitions.Def_KLSModular_FunctionalInequalities_Poincare_Relaxation

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Poincare/SmoothTest/Comparison.lean#L1-L99 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Poincare.SmoothTest.Comparison`, import-context bundle `KLSModular_FunctionalInequalities_Poincare_SmoothTest_Comparison`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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