Let x0 of type ι → ο be given.
Let x1 of type (ι → ο) → ο be given.
Let x2 of type (ι → ι → ο) → ο be given.
Let x3 of type ι be given.
Let x4 of type ι be given.
Let x5 of type ι be given.
Let x6 of type ι be given.
Let x7 of type ι be given.
Let x8 of type ι be given.
Let x9 of type ι be given.
Let x10 of type ι be given.
Let x11 of type ι be given.
Let x12 of type ι be given.
Let x13 of type ι be given.
Let x14 of type ι be given.
Let x15 of type ι be given.
Let x16 of type ι be given.
Assume H0: x0 x3.
Assume H1: x0 x4.
Assume H2: x0 x5.
Assume H3: x0 x6.
Assume H4: x0 x7.
Assume H5: x0 x8.
Assume H6: x0 x9.
Assume H7: x0 x10.
Assume H8: x0 x11.
Assume H9: x0 x12.
Assume H10: x0 x13.
Assume H11: x0 x14.
Assume H12: x0 x15.
Assume H13: x0 x16.
Assume H14: ∀ x17 : ι → ο . x17 x3 ⟶ x17 x4 ⟶ x17 x5 ⟶ x17 x6 ⟶ x17 x7 ⟶ x17 x8 ⟶ x17 x9 ⟶ x17 x10 ⟶ x17 x11 ⟶ x17 x12 ⟶ x17 x13 ⟶ x17 x14 ⟶ x17 x15 ⟶ x17 x16 ⟶ x1 x17.
Assume H15: ∀ x17 : ι → ι → ο . ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ ... ⟶ x17 x13 ... ⟶ x17 x13 x4 ⟶ x17 x13 x5 ⟶ x17 x13 x6 ⟶ x17 x13 x7 ⟶ x17 x13 x8 ⟶ x17 x13 x9 ⟶ x17 x13 x10 ⟶ x17 x13 x11 ⟶ x17 x13 x12 ⟶ x17 x13 x13 ⟶ x17 x13 x14 ⟶ x17 x13 x15 ⟶ x17 x13 x16 ⟶ x17 x14 x3 ⟶ x17 x14 x4 ⟶ x17 x14 x5 ⟶ x17 x14 x6 ⟶ x17 x14 x7 ⟶ x17 x14 x8 ⟶ x17 x14 x9 ⟶ x17 x14 x10 ⟶ x17 x14 x11 ⟶ x17 x14 x12 ⟶ x17 x14 x13 ⟶ x17 x14 x14 ⟶ x17 x14 x15 ⟶ x17 x14 x16 ⟶ x17 x15 x3 ⟶ x17 x15 x4 ⟶ x17 x15 x5 ⟶ x17 x15 x6 ⟶ x17 x15 x7 ⟶ x17 x15 x8 ⟶ x17 x15 x9 ⟶ x17 x15 x10 ⟶ x17 x15 x11 ⟶ x17 x15 x12 ⟶ x17 x15 x13 ⟶ x17 x15 x14 ⟶ x17 x15 x15 ⟶ x17 x15 x16 ⟶ x17 x16 x3 ⟶ x17 x16 x4 ⟶ x17 x16 x5 ⟶ x17 x16 x6 ⟶ x17 x16 x7 ⟶ x17 x16 x8 ⟶ x17 x16 x9 ⟶ x17 x16 x10 ⟶ x17 x16 x11 ⟶ x17 x16 x12 ⟶ x17 x16 x13 ⟶ x17 x16 x14 ⟶ x17 x16 x15 ⟶ x17 x16 x16 ⟶ x1 (λ x18 . x1 (λ x19 . x17 x18 x19)).