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Proofgold Proof

pf
Let x0 of type ο be given.
Let x1 of type ο be given.
Let x2 of type ο be given.
Assume H0: not x0.
Assume H1: x1.
Assume H2: not x2.
Apply orIL with and (exactly1of2 x0 x1) (not x2), and (and (not x0) (not x1)) x2.
Apply andI with exactly1of2 x0 x1, not x2 leaving 2 subgoals.
Apply exactly1of2_I2 with x0, x1 leaving 2 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.