Proof of `Mixed moments of balanced predicates on independent coordinates` (1st statement)
groundedproofs/Lax323828Proofs/ProductMoments.lean · lax-323828
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
Absolute correlations are at most one, so increasing the support size can only decrease their powers. Sum with nonnegative squared coefficients.