Proof of `Bounded allowed derivatives preserving the actual linearized response` (7th 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
Choose a linear section of the observation map onto its range. Composing that section with the observation map preserves all observations and bounds the new image dimension by the observation rank.