Prove2Me

Import context: KLS/LogConcave/BallConditioning

Definition
KLSModular_FunctionalInequalities_KLS_LogConcave_BallConditioning

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.BallConditioning 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.Regular.Affine, FunctionalInequalities.KLS.Isotropic, and FunctionalInequalities.Analysis.Operator.InverseSqrt. It also directly imports the external prerequisite modules Mathlib.Probability.ConditionalProbability and Mathlib.Topology.UniformSpace.HeineCantor.

Original module imports

import FunctionalInequalities.KLS.LogConcave.Regular.Affine
import Mathlib.Probability.ConditionalProbability
import FunctionalInequalities.KLS.Isotropic
import FunctionalInequalities.Analysis.Operator.InverseSqrt
import Mathlib.Topology.UniformSpace.HeineCantor

Module navigation

Direct project imports: KLS/LogConcave/Regular/Affine, KLS/Isotropic, Analysis/Operator/InverseSqrt.

Theorems in source order:

Project result: The KLS conjecture.

Original module · FunctionalInequalities.KLS.LogConcave.BallConditioning · Frozen source 408915f.

Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_LogConcave_Regular_Affine
import Mathlib.Probability.ConditionalProbability
import Definitions.Def_KLSModular_FunctionalInequalities_KLS_Isotropic
import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Operator_InverseSqrt
import Mathlib.Topology.UniformSpace.HeineCantor
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/KLS/LogConcave/BallConditioning.lean#L1-L530 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.KLS.LogConcave.BallConditioning`, import-context bundle `KLSModular_FunctionalInequalities_KLS_LogConcave_BallConditioning`). The line range identifies the complete original source module; this bundle preserves only its direct import context.

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