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Proofgold Proof

pf
Let x0 of type ι be given.
Let x1 of type ο be given.
Assume H0: ∀ x2 . and (x2omega) (equip (Sing x0) x2)x1.
Apply H0 with u1.
Apply andI with u1omega, equip (Sing x0) u1 leaving 2 subgoals.
Apply nat_p_omega with u1.
The subproof is completed by applying nat_1.
The subproof is completed by applying unknownprop_be1ab2772f2343e1b7afd526582f606d68258ba3f0b6521a351e0ecb8bf3c52e with x0.