Proof of `Orthogonality and finite Walsh correlation bounds` (2nd 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
Compose the nontrivial real binary character with the linear functional. Its being the trivial character would force the functional to vanish, so the finite additive-character orthogonality theorem gives zero sum.