Proof of `Bounded allowed derivatives preserving the actual linearized response` (3rd 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
Postcompose the derivative map with the allowed value projection. All observed dot products are preserved and the derivative image lies in the bounded-dimensional projection image.