Proof of `The row-corank bound for a uniform binary matrix` (2nd statement)
groundedproofs/Lax342547Proofs/CorankCounting.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
Select s basis vectors of the kernel of Mᵀ. They are independent rows of the relation matrix C. A left inverse of Cᵀ proves C is surjective.