Prove2Me

Import context: KLS/LogConcave/Density/Tilted

Definition
KLSModular_FunctionalInequalities_KLS_LogConcave_Density_Tilted

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

functional-inequalitiesimport-contextklskls-conjecturekls-modularlog-concavemodule-context

This bundle retains the import context of the source module FunctionalInequalities.KLS.LogConcave.Density.Tilted 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.KLS.LogConcave.Density.FromBorell, FunctionalInequalities.KLS.LogConcave.Density.BorellRepresentation.Construction, FunctionalInequalities.Probability.LogConcave, and FunctionalInequalities.KLS.LogConcave.Density.BorellRepresentation.Basic. It also directly imports the external prerequisite module Mathlib.MeasureTheory.Measure.Tilted.

Original module imports

import FunctionalInequalities.KLS.LogConcave.Density.FromBorell
import Mathlib.MeasureTheory.Measure.Tilted
import FunctionalInequalities.KLS.LogConcave.Density.BorellRepresentation.Construction
import FunctionalInequalities.Probability.LogConcave
import FunctionalInequalities.KLS.LogConcave.Density.BorellRepresentation.Basic

Module navigation

Direct project imports: KLS/LogConcave/Density/FromBorell, KLS/LogConcave/Density/BorellRepresentation/Construction, Probability/LogConcave, KLS/LogConcave/Density/BorellRepresentation/Basic.

Theorems in source order:

Project result: The KLS conjecture.

Original module · FunctionalInequalities.KLS.LogConcave.Density.Tilted · Frozen source 408915f.

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_Density_FromBorell
import Mathlib.MeasureTheory.Measure.Tilted
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_Density_BorellRepresentation_Construction
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_LogConcave
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_Density_BorellRepresentation_Basic
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/KLS/LogConcave/Density/Tilted.lean#L1-L315 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.LogConcave.Density.Tilted`, import-context bundle `KLSModular_FunctionalInequalities_KLS_LogConcave_Density_Tilted`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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