Proof of `Bounded descriptions of large matrix kernels` (3rd statement)
groundedproofs/Lax342547Proofs/KernelWitness.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
Take the first min(q, dim ker A) vectors of a kernel basis and pad the remaining columns with zero. The independent submatrix certifies rank.