Import context: Probability/Covariance/Positivity
DefinitionKLSModular_FunctionalInequalities_Probability_Covariance_Positivityfunctional-inequalitiesimport-contextklskls-conjecturekls-modularlog-concavemodule-contextprobability
This bundle retains the import context of the source module FunctionalInequalities.Probability.Covariance.Positivity 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.Probability.Covariance.Intrinsic and FunctionalInequalities.Analysis.Operator.Positive.
Original module imports
import FunctionalInequalities.Probability.Covariance.Intrinsic
import FunctionalInequalities.Analysis.Operator.Positive
Module navigation
Direct project imports: Probability/Covariance/Intrinsic, Analysis/Operator/Positive.
Theorems in source order:
Project result: The KLS conjecture.
Original module · FunctionalInequalities.Probability.Covariance.Positivity · Frozen source 408915f.
Definition code
import Definitions.Def_KLSModular_FunctionalInequalities_Probability_Covariance_Intrinsic import Definitions.Def_KLSModular_FunctionalInequalities_Analysis_Operator_Positive
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Probability/Covariance/Positivity.lean#L1-L74 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Probability.Covariance.Positivity`, import-context bundle `KLSModular_FunctionalInequalities_Probability_Covariance_Positivity`). The line range identifies the complete original source module; this bundle preserves only its direct import context.