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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: nat_p x0.
Apply ordinal_Subq_SNoLe with 0, x0 leaving 3 subgoals.
The subproof is completed by applying ordinal_Empty.
Apply nat_p_ordinal with x0.
The subproof is completed by applying H0.
The subproof is completed by applying Subq_Empty with x0.