Let x0 of type ι → (ι → ο) → ο be given.
Let x1 of type ι → (ι → ο) → ο be given.
Let x2 of type ι be given.
Apply PNo_bd_pred with
x0,
x1,
x2,
ordinal (PNo_bd x0 x1) leaving 5 subgoals.
The subproof is completed by applying H0.
The subproof is completed by applying H1.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
Apply H4 with
ordinal (PNo_bd x0 x1).
The subproof is completed by applying H6.