Proof of `Bounded allowed derivatives preserving the actual linearized response` (2nd statement)
groundedproofs/Lax342547Proofs/BoundedDerivatives.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
Use the full combined primal spaces for both reciprocal baseline maps. Their bounded covector ranks control the two replacement derivatives. Coordinate matrix tests prove that every component response is unchanged for arbitrary input matrices.