Proof of `Orthogonality and finite Walsh correlation bounds` (1st statement)
groundedproofs/Lax342547Proofs/Walsh.lean · lax-342547
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
Apply finite Cauchy-Schwarz to one weight and the Walsh transform of the other, then substitute the exact transform energy identity.