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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.
Let x3 of type ι be given.
Let x4 of type ι be given.
Let x5 of type ι be given.
Let x6 of type ι be given.
Let x7 of type ι be given.
Apply binunionI2 with SetAdjoin (SetAdjoin (SetAdjoin (SetAdjoin (SetAdjoin (UPair x0 x1) x2) x3) x4) x5) x6, Sing x7, x7.
The subproof is completed by applying SingI with x7.