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Proofgold Proof

pf
Let x0 of type ο be given.
Let x1 of type ιι be given.
Let x2 of type ιι be given.
Assume H0: x0.
Apply functional extensionality with If_ii x0 x1 x2, x1.
Let x3 of type ι be given.
Apply If_i_1 with x0, x1 x3, x2 x3.
The subproof is completed by applying H0.