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Proofgold Proof

pf
Let x0 of type ο be given.
Let x1 of type ο be given.
Assume H0: exactly1of2 x0 x1.
Let x2 of type ο be given.
Assume H1: x0not x1x2.
Assume H2: not x0x1x2.
Apply H0 with x2 leaving 2 subgoals.
Assume H3: and x0 (not x1).
Apply H3 with x2.
The subproof is completed by applying H1.
Assume H3: and (not x0) x1.
Apply H3 with x2.
The subproof is completed by applying H2.