Proofgold Proof

pf
Let x0 of type ι be given. Assume H0: SNo x0. Apply SNo_pair_0 with x0, λ x1 x2 . CSNo_Im x1 = 0. Apply CSNo_Im2 with x0, 0 leaving 2 subgoals. The subproof is completed by applying H0. The subproof is completed by applying SNo_0. ■