Let x0 of type ι be given.
Assume H0:
x0 ∈ omega.
Apply minus_SNo_minus_CSNo with
x0,
λ x1 x2 . x1 ∈ int leaving 2 subgoals.
Apply omega_SNo with
x0.
The subproof is completed by applying H0.
Apply int_minus_SNo_omega with
x0.
The subproof is completed by applying H0.