Let x0 of type ι be given.
Let x1 of type ο be given.
Apply H0 with
u1.
Apply andI with
u1 ∈ omega,
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.