Proof of `Paying the reference-image conditioning and dimension costs` (3rd 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
For a full-frame size bounded by a*n+b, one fixed ambient multiplier pays both dimension and normalization costs at every positive n. This choice is independent of the nominal ranks and of the unit law.