Proof of `Finite linear images and their uniform-law density bounds` (1st 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
A surjective map induces a surjection between the quotients by S and its image. Compare quotient dimensions and apply rank-nullity.