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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: In x2 (binunion x0 x1).
Assume H1: In x2 x0False.
Assume H2: In x2 x1False.
Apply unknownprop_a497a9c4fdb392b95b688b10c74f8f445a953a0c88030ccc02fa0b24e4758231 with x0, x1, x2, False leaving 3 subgoals.
The subproof is completed by applying H0.
Assume H3: In x2 x0.
Apply H1.
The subproof is completed by applying H3.
Assume H3: In x2 x1.
Apply H2.
The subproof is completed by applying H3.