Import context: Probability/Covariance/CauchySchwarz
DefinitionKLSModular_FunctionalInequalities_Probability_Covariance_CauchySchwarzfunctional-inequalitiesimport-contextklskls-conjecturekls-modularlog-concavemodule-contextprobability
This bundle retains the import context of the source module FunctionalInequalities.Probability.Covariance.CauchySchwarz in the modular KLS dependency graph. It adds no new mathematical declarations. Substantive statements and proofs are represented by separate theorem nodes.
It also directly imports the external prerequisite modules Mathlib.Probability.Moments.Covariance and Mathlib.Probability.Moments.Variance.
Original module imports
import Mathlib.Probability.Moments.Covariance
import Mathlib.Probability.Moments.Variance
Module navigation
Theorems in source order:
Project result: The KLS conjecture.
Original module · FunctionalInequalities.Probability.Covariance.CauchySchwarz · Frozen source 408915f.
Definition code
import Mathlib.Probability.Moments.Covariance import Mathlib.Probability.Moments.Variance
Source
Frozen KLS source: https://github.com/human-ai-mathematics/kls-lean/blob/408915fd28eb892a7093fa5df6f6c2699e9de144/formalization/FunctionalInequalities/Probability/Covariance/CauchySchwarz.lean#L1-L73 (commit 408915fd28eb892a7093fa5df6f6c2699e9de144, module `FunctionalInequalities.Probability.Covariance.CauchySchwarz`, import-context bundle `KLSModular_FunctionalInequalities_Probability_Covariance_CauchySchwarz`). The line range identifies the complete original source module; this bundle preserves only its direct import context.