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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: SNo_ 0 x0.
Apply SNoLev_0_eq_0 with x0 leaving 2 subgoals.
Apply SNo_SNo with 0, x0 leaving 2 subgoals.
The subproof is completed by applying ordinal_Empty.
The subproof is completed by applying H0.
Apply SNoLev_uniq2 with 0, x0 leaving 2 subgoals.
The subproof is completed by applying ordinal_Empty.
The subproof is completed by applying H0.