Proof of `Rank control for the frozen baseline on primal inputs` (2nd statement)
groundedproofs/Lax342547Proofs/BaselineRank.lean · lax-342547
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 an opposite channel, its frozen projection is a pin. The baseline evaluation is the sum of a function of the retracted primal input and the actual input's pairing with that pin. Factor through the product of the primal retraction's range and the opposite pin dual, then count its dimension.