Proof of `Exact-image bounds for independent affine columns` (4th statement)
groundedproofs/Lax342547Proofs/AffineImages.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
Apply the exact affine linear-image bound to the independent product of column translation spaces. The rank estimate is t dim(S), uniformly in the size t of the nominal tuple and in all column offsets.