Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι → ο be given.
Let x3 of type ι → ο be given.
Let x4 of type ι → (ι → ο) → ο be given.
Assume H3:
∀ x5 x6 . ∀ x7 x8 : ι → ο . x4 x5 x7 ⟶ x4 x6 x8 ⟶ x4 (a3eb9.. x5 x6) (c0709.. x7 x8).
Assume H4:
∀ x5 x6 . ∀ x7 x8 : ι → ο . x4 x5 x7 ⟶ x4 x6 x8 ⟶ x4 (bf68c.. x5 x6) (6e020.. x7 x8).
Apply H3 with
x0,
x1,
x2,
x3 leaving 2 subgoals.
Apply H0 with
x4 leaving 3 subgoals.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.
Apply H1 with
x4 leaving 3 subgoals.
The subproof is completed by applying H2.
The subproof is completed by applying H3.
The subproof is completed by applying H4.