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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: ordinal x0.
Let x1 of type ι be given.
Assume H1: SNo_ x0 x1.
Apply SNoLev_prop with x1, SNoLev x1 = x0 leaving 2 subgoals.
Apply SNo_SNo with x0, x1 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
Assume H2: ordinal (SNoLev x1).
Assume H3: SNo_ (SNoLev x1) x1.
Apply SNoLev_uniq with x1, SNoLev x1, x0 leaving 4 subgoals.
The subproof is completed by applying H2.
The subproof is completed by applying H0.
The subproof is completed by applying H3.
The subproof is completed by applying H1.
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