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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Assume H0: x1prim3 (prim4 x0).
Apply UnionE_impred with prim4 x0, x1, x1x0 leaving 2 subgoals.
The subproof is completed by applying H0.
Let x2 of type ι be given.
Assume H1: x1x2.
Assume H2: x2prim4 x0.
Apply PowerE with x0, x2, x1 leaving 2 subgoals.
The subproof is completed by applying H2.
The subproof is completed by applying H1.