Proofgold Proof

pf
Let x0 of type ι be given. Assume H0: x0 ∈ omega. Let x1 of type ι → ι be given. Let x2 of type ι be given. Apply nat_primrec_S with x2, λ x3 x4 . x1 x4, x0. Apply omega_nat_p with x0. The subproof is completed by applying H0. ■