Lax Lean Archive

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Proof of `Mixed moments of balanced predicates on independent coordinates` (3rd statement)

groundedproofs/Lax253009Proofs/ProductMoments.lean · lax-253009

What this proof establishes

thm✓Lax253009.ProductMoments (3rd statement)

Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.

Read the Lean proof on GitHub

Description

Expand the square, interchange finite sums and expectations, and cancel every pair of distinct supports using the balanced mixed-moment identity.