Proof of `Dimension-independent bounds for tuple averaging` (2nd statement)
groundedproofs/Lax323828Proofs/TupleAveraging.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
Expand the centered second moment. Distinct coordinates have zero mixed moment by independence; each diagonal variance is at most one.