Proof of `Mixed moments of balanced predicates on independent coordinates` (2nd statement)
groundedproofs/Lax323828Proofs/ProductMoments.lean · lax-323828
What this proof establishes
no assumptions
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
Factor the expectation coordinate by coordinate. A coordinate in just one support contributes a zero mean; coordinates in both contribute the correlation.