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.
Let x3 of type ι → ο be given.
Apply andI with
PNo_rel_strict_imv x0 x1 (ordsucc x2) (λ x4 . and (x3 x4) (x4 = x2 ⟶ ∀ x5 : ο . x5)),
PNo_rel_strict_imv x0 x1 (ordsucc x2) (λ x4 . or (x3 x4) (x4 = x2)) leaving 2 subgoals.
Apply PNo_lenbdd_strict_imv_extend0 with
x0,
x1,
x2,
x3 leaving 4 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 PNo_lenbdd_strict_imv_extend1 with
x0,
x1,
x2,
x3 leaving 4 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.