Proof of `Formal forward and reverse rows of a unary mixer test` (10th statement)
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
A nonzero profile has positive total factor rank, and a positive k gives incident components at every tag. The exact formal rank is at least 2J. Losing at most twice the Z row codimension proves the unary lower bound, uniformly over the fixed non-Z values.