Proof of `The full reference cap for exact pin events`
groundedproofs/Lax342547Proofs/ReferencePins.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
Use a basis of each component/sign pin space and its stored exact images. These coefficient matrices have precisely the pin dimensions as their nominal ranks. The all-rank image theorem applies to the same event.