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Proofgold Proof

pf
Let x0 of type ι be given.
Assume H0: ZF_closed x0.
Let x1 of type ι be given.
Assume H1: x1x0.
Let x2 of type ι be given.
Assume H2: x2x0.
Apply ZF_Union_closed with x0, UPair x1 x2 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply ZF_UPair_closed with x0, x1, x2 leaving 3 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.