Prove2Me

Import context: Probability/Stein/DualBound

Definition
KLSModular_FunctionalInequalities_Probability_Stein_DualBound

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

functional-inequalitiesimport-contextklskls-conjecturekls-modularlog-concavemodule-contextprobability

This bundle retains the import context of the source module FunctionalInequalities.Probability.Stein.DualBound 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.Operator.Coordinates, FunctionalInequalities.Probability.Stein.Kernel, FunctionalInequalities.Probability.Stein.IdentityExtension, and FunctionalInequalities.Energy.DualNorm.

Original module imports

import FunctionalInequalities.Analysis.Operator.Coordinates
import FunctionalInequalities.Probability.Stein.Kernel
import FunctionalInequalities.Probability.Stein.IdentityExtension
import FunctionalInequalities.Energy.DualNorm

Module navigation

Direct project imports: Analysis/Operator/Coordinates, Probability/Stein/Kernel, Probability/Stein/IdentityExtension, Energy/DualNorm.

Project result: The KLS conjecture.

Original module · FunctionalInequalities.Probability.Stein.DualBound · Frozen source 408915f.

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Operator_Coordinates
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_Stein_Kernel
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_Stein_IdentityExtension
import Definitions.Def_KLSModular_FunctionalInequalities_Energy_DualNorm
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Probability/Stein/DualBound.lean#L1-L83 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Probability.Stein.DualBound`, import-context bundle `KLSModular_FunctionalInequalities_Probability_Stein_DualBound`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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