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Proofgold Proof

pf
Apply nat_ind with λ x0 . x0prim6 0 leaving 2 subgoals.
The subproof is completed by applying UnivOf_In with 0.
Let x0 of type ι be given.
Assume H0: nat_p x0.
Assume H1: x0prim6 0.
Apply ZF_ordsucc_closed with prim6 0, x0 leaving 2 subgoals.
The subproof is completed by applying UnivOf_ZF_closed with 0.
The subproof is completed by applying H1.