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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι be given.
Assume H0: nIn x2 (0ac37.. x0 x1).
Apply andI with nIn x2 x0, nIn x2 x1 leaving 2 subgoals.
Assume H1: prim1 x2 x0.
Apply H0.
Apply unknownprop_0b5b61a66a1ed2eb843dbce5c5f6930c63a284fe5e33704d9f0cc564310ec40b with x0, x1, x2.
The subproof is completed by applying H1.
Assume H1: prim1 x2 x1.
Apply H0.
Apply unknownprop_e4d6e0bfb4ef6d52ee13edd54a77c8cc7f0a3af8ffb1b8da66d4f98842dd28b5 with x0, x1, x2.
The subproof is completed by applying H1.