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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: ordinal x0.
Let x1 of type ο be given.
Assume H1: ∀ x2 . and (ordinal x2) (SNo_ x2 x0)x1.
Apply H1 with x0.
Apply andI with ordinal x0, SNo_ x0 x0 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply ordinal_SNo_ with x0.
The subproof is completed by applying H0.