Import context: Analysis/Semigroup/Generated/Markov

Definition

KLSModular_FunctionalInequalities_Analysis_Semigroup_Generated_Markov

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.Semigroup.Generated.Markov 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.Semigroup.Generated.Laws, FunctionalInequalities.Energy.Form.Dirichlet, FunctionalInequalities.Energy.Relaxation.LinearPMap, and FunctionalInequalities.L2.MeanVariance. It also directly imports the external prerequisite module Mathlib.MeasureTheory.Function.LpOrder.

Original module imports

import FunctionalInequalities.Analysis.Semigroup.Generated.Laws
import FunctionalInequalities.Energy.Form.Dirichlet
import FunctionalInequalities.Energy.Relaxation.LinearPMap
import FunctionalInequalities.L2.MeanVariance
import Mathlib.MeasureTheory.Function.LpOrder

Module navigation

Direct project imports: Analysis/Semigroup/Generated/Laws, Energy/Form/Dirichlet, Energy/Relaxation/LinearPMap, L2/MeanVariance.

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Analysis.Semigroup.Generated.Markov · Frozen source 408915f.

Definition code

import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Semigroup_Generated_Laws
import Definitions.Def_KLSModular_FunctionalInequalities_Energy_Form_Dirichlet
import Definitions.Def_KLSModular_FunctionalInequalities_Energy_Relaxation_LinearPMap
import Definitions.Def_KLSModular_FunctionalInequalities_L2_MeanVariance
import Mathlib.MeasureTheory.Function.LpOrder

Source

Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Analysis/Semigroup/Generated/Markov.lean#L1-L471 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Analysis.Semigroup.Generated.Markov`, import-context bundle `KLSModular_FunctionalInequalities_Analysis_Semigroup_Generated_Markov`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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