Proof of `Finite metadata and exact-image records for additional pins` (3rd statement)
groundedproofs/Lax342547Proofs/MetadataPins.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 split record fixes a new exact pin event. Join it to the old pins at one consistent point; quotient dimension cannot exceed the new direction budget, and the whole fiber satisfies the joined prescriptions.