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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 (UPair x0 x1).
Assume H1: x2 = x0False.
Assume H2: x2 = x1False.
Apply unknownprop_75ddf832b1631756e4bbf96a65e15fca654982aa51c8799a97b68da7b8a2da12 with x2, x0, x1, False leaving 3 subgoals.
The subproof is completed by applying H0.
Assume H3: x2 = x0.
Apply H1.
The subproof is completed by applying H3.
Assume H3: x2 = x1.
Apply H2.
The subproof is completed by applying H3.