Let x0 of type ι be given.
Let x1 of type (ι → ο) → ο be given.
Let x2 of type ι → ι → ι be given.
Let x3 of type ι → ο be given.
Assume H1:
∀ x4 . ∀ x5 : (ι → ο) → ο . ∀ x6 : ι → ι → ι . (∀ x7 . prim1 x7 x4 ⟶ ∀ x8 . prim1 x8 x4 ⟶ prim1 (x6 x7 x8) x4) ⟶ x3 (e0718.. x4 x5 x6).
Apply H1 with
x0,
x1,
x2.
The subproof is completed by applying H0.