Draft — mutable and not usable as a dependency; its citation marks the draft state.

Proof of `Fagin’s theorem` (1st statement)

groundedproofs/Lax678846Proofs/NPDefinable.lean · lax-678846

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.

Read the Lean proof on GitHub

Description

Combine the concrete nondeterministic certificate verifier with the existential second-order definition constructed for each NP property.