Let x0 of type ι be given.
Let x1 of type ι → ι → ο be given.
Let x2 of type ι → ι → ο be given.
Let x3 of type ι → ο be given.
Let x4 of type ι be given.
Assume H0: x4 ∈ x0.
Let x5 of type ι → ο be given.
Assume H1:
∀ x6 . ∀ x7 x8 : ι → ι → ο . ∀ x9 : ι → ο . ∀ x10 . x10 ∈ x6 ⟶ x5 (pack_r_r_p_e x6 x7 x8 x9 x10).
Apply H1 with
x0,
x1,
x2,
x3,
x4.
The subproof is completed by applying H0.