Let x0 of type ι be given.
Assume H0:
x0 ∈ omega.
Apply ordinal_Subq_SNoLe with
0,
x0 leaving 3 subgoals.
The subproof is completed by applying ordinal_Empty.
Apply nat_p_ordinal with
x0.
Apply omega_nat_p with
x0.
The subproof is completed by applying H0.
The subproof is completed by applying Subq_Empty with x0.