Proof of `Paying the reference-image conditioning and dimension costs` (2nd 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
Substitute the actual coefficient count d=pStar*(1+(g²+3)n) and the fixed channel dimension h. One M₀ pays every reference-image cost at all positive n, independently of the unit law and the tested ranks.