Proof of `Paying the reference-image conditioning and dimension costs` (1st 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
Half of the epsilon budget pays the common-annihilator dimension loss for every minus rank. The other half pays the fixed 16^c prefactor, using only that the total nominal rank is at least one.