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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ι be given.
Assume H0: nIn x0 x1.
Assume H1: x1 = Sing x0.
Apply H0.
Apply H1 with λ x2 x3 . x0x3.
The subproof is completed by applying SingI with x0.