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Proofgold Proof

pf
Let x0 of type ι be given.
Apply set_ext with 0ac37.. x0 x0, x0 leaving 2 subgoals.
Let x1 of type ι be given.
Assume H0: prim1 x1 (0ac37.. x0 x0).
Apply unknownprop_b46721c187c37140cbae22d356b00ba89f4126d81d8665e4be15b5a58c78d06f with x0, x0, x1, prim1 x1 x0 leaving 3 subgoals.
The subproof is completed by applying H0.
Assume H1: prim1 x1 x0.
The subproof is completed by applying H1.
Assume H1: prim1 x1 x0.
The subproof is completed by applying H1.
Let x1 of type ι be given.
Assume H0: prim1 x1 x0.
Apply unknownprop_0b5b61a66a1ed2eb843dbce5c5f6930c63a284fe5e33704d9f0cc564310ec40b with x0, x0, x1.
The subproof is completed by applying H0.