Import context: Poincare/L2/Comparison

Definition

KLSModular_FunctionalInequalities_Poincare_L2_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.L2.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.Energy.Form.Comparison, FunctionalInequalities.Poincare.Comparison, and FunctionalInequalities.Poincare.L2.Energy.

Original module imports

import FunctionalInequalities.Energy.Form.Comparison
import FunctionalInequalities.Poincare.Comparison
import FunctionalInequalities.Poincare.L2.Energy

Module navigation

Direct project imports: Energy/Form/Comparison, Poincare/Comparison, Poincare/L2/Energy.

Theorems in source order:

Holds.of_energy_le_mul

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Poincare.L2.Comparison · Frozen source 408915f.

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_Energy_Form_Comparison
import Definitions.Def_KLSModular_FunctionalInequalities_Poincare_Comparison
import Definitions.Def_KLSModular_FunctionalInequalities_Poincare_L2_Energy

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Poincare/L2/Comparison.lean#L1-L74 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Poincare.L2.Comparison`, import-context bundle `KLSModular_FunctionalInequalities_Poincare_L2_Comparison`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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