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Proofgold Proof

pf
Let x0 of type ι be given.
Apply Empty_eq with setminus x0 x0.
Let x1 of type ι be given.
Assume H0: x1setminus x0 x0.
Apply setminusE2 with x0, x0, x1 leaving 2 subgoals.
The subproof is completed by applying H0.
Apply setminusE1 with x0, x0, x1.
The subproof is completed by applying H0.