Proof of `Finite linear images and their uniform-law density bounds` (2nd statement)
groundedproofs/Lax342547Proofs/FiniteLinearLaw.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
The image of a coordinatewise family of linear maps is linearly equivalent to the product of their images. Dimensions therefore add, and summing the individual codimension bounds proves the joint bound.