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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: x0omega.
Claim L1: nat_p x0
Apply omega_nat_p with x0.
The subproof is completed by applying H0.
Apply SNoLev_uniq2 with ordsucc x0, eps_ x0 leaving 2 subgoals.
Apply ordinal_ordsucc with x0.
Apply nat_p_ordinal with x0.
The subproof is completed by applying L1.
Apply SNo__eps_ with x0.
The subproof is completed by applying H0.