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Proof of `Orthogonality and finite Walsh correlation bounds` (3rd 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.

Read the Lean proof on GitHub

Description

The product of the two signs is the character indexed by x+z. It is trivial exactly when x=z in the binary vector space.