Proof of `Random sharp-block forms and their alternating parity` (2nd 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
Use the disjoint even and odd indices for a square block of side floor(n/2). Its rank cannot exceed the rank of the alternating matrix, and its uniform law satisfies the rectangular low-rank probability bound.