Lax Lean Archive

While this submission is a draft, it cannot be used by other submissions.

Proof of `Dimension-independent bounds for tuple averaging` (1st statement)

groundedproofs/Lax253009Proofs/TupleAveraging.lean · lax-253009

What this proof establishes

thm✓Lax253009.TupleAveraging (1st 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

Apply Cauchy–Schwarz to the event indicator and the centered sample mean. The indicator's second moment is at most one.