Let x0 of type ι be given.
Apply omega_nat_p with
x0.
The subproof is completed by applying H0.
Apply SNo_SNo with
ordsucc x0,
eps_ x0 leaving 2 subgoals.
Apply ordinal_ordsucc with
x0.
Apply nat_p_ordinal with
x0.
The subproof is completed by applying L1.
Apply SNo__eps_ with
x0.
The subproof is completed by applying H0.