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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 (setminus x0 x1).
Apply imp_not_or with x2x0, x2x1.
Assume H1: x2x0.
Apply dneg with x2x1.
Assume H2: nIn x2 x1.
Apply H0.
Apply setminusI with x0, x1, x2 leaving 2 subgoals.
The subproof is completed by applying H1.
The subproof is completed by applying H2.