Proof of `Mixed moments of independently sampled balanced predicates`
groundedproofs/Lax253009Proofs/MixedPredicateMoments.lean · lax-253009
What this proof establishes
Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.
Description
All nonempty subcollections simultaneously have small correlation outside an event controlled by a union bound. Factor the mixed moment over its coordinate union and bound each factor by q on that good event.