Proof of `The FAF verifier as a finite local-test system` (3rd statement)
groundedproofs/Lax253009Proofs/FAFLocalTests.lean · lax-253009
What this proof establishes
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
An extending proof supplies exactly the recorded reference and queried table answers. Conversely, an actual accepting transcript is coherent because every recorded bit comes from the same proof coordinate.