Proof of `Random sharp-block forms and their alternating parity` (4th statement)
groundedproofs/Lax342547Proofs/SharpMixerLaw.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
Distinct labels differ in some bit, so their coefficient sum at that bit is nonzero in the binary field. The weighted matrix map is surjective.