Proof of `Formal forward and reverse rows of a unary mixer test` (7th 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
Equality on the fixed row space means every functional on the formal row vectors has the same value. The dual separates points, so the row vectors agree. Their affine quadratic evaluations therefore agree.