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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Assume H0: TransSet x0.
Assume H1: ZF_closed x0.
Assume H2: x1x0.
Apply ZF_closed_E with x0, 0x0 leaving 2 subgoals.
The subproof is completed by applying H1.
Assume H3: Union_closed x0.
Assume H4: Power_closed x0.
Assume H5: Repl_closed x0.
Claim L6: prim4 x1x0
Apply H4 with x1.
The subproof is completed by applying H2.
Apply H0 with prim4 x1, 0 leaving 2 subgoals.
The subproof is completed by applying L6.
The subproof is completed by applying Empty_In_Power with x1.