Proof of `Bounded allowed derivatives preserving the actual linearized response` (5th 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
Start from the proved unrestricted solution of the actual scalar recipe. Replace its two derivative families with bounded-rank families while preserving the pure response and every derivative contraction. This retains the whole-space linearized solution with the paper baseline rank bound.