Let x0 of type ι be given.
Let x1 of type ι be given.
Let x2 of type ι 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.
Assume H0: ∀ x9 . x9 ∈ x8 ⟶ ∀ x10 : ι → ο . x10 x0 ⟶ x10 x1 ⟶ x10 x2 ⟶ x10 x3 ⟶ x10 x4 ⟶ x10 x5 ⟶ x10 x6 ⟶ x10 x7 ⟶ x10 x9.
Assume H1: x0 = x1 ⟶ ∀ x9 : ο . x9.
Assume H2: x0 = x2 ⟶ ∀ x9 : ο . x9.
Assume H3: x1 = x2 ⟶ ∀ x9 : ο . x9.
Assume H4: x0 = x3 ⟶ ∀ x9 : ο . x9.
Assume H5: x1 = x3 ⟶ ∀ x9 : ο . x9.
Assume H6: x2 = x3 ⟶ ∀ x9 : ο . x9.
Assume H7: x0 = x4 ⟶ ∀ x9 : ο . x9.
Assume H8: x1 = x4 ⟶ ∀ x9 : ο . x9.
Assume H9: x2 = x4 ⟶ ∀ x9 : ο . x9.
Assume H10: x3 = x4 ⟶ ∀ x9 : ο . x9.
Assume H11: x0 = x5 ⟶ ∀ x9 : ο . x9.
Assume H12: x1 = x5 ⟶ ∀ x9 : ο . x9.
Assume H13: x2 = x5 ⟶ ∀ x9 : ο . x9.
Assume H14: x3 = x5 ⟶ ∀ x9 : ο . x9.
Assume H15: x4 = x5 ⟶ ∀ x9 : ο . x9.
Assume H16: x0 = x6 ⟶ ∀ x9 : ο . x9.
Assume H17: x1 = x6 ⟶ ∀ x9 : ο . x9.
Assume H18: x2 = x6 ⟶ ∀ x9 : ο . x9.
Assume H19: x3 = x6 ⟶ ∀ x9 : ο . x9.
Assume H20: x4 = x6 ⟶ ∀ x9 : ο . x9.
Assume H21: x5 = x6 ⟶ ∀ x9 : ο . x9.
Assume H22: x0 = x7 ⟶ ∀ x9 : ο . x9.
Assume H23: x1 = x7 ⟶ ∀ x9 : ο . x9.
Assume H24: x2 = x7 ⟶ ∀ x9 : ο . x9.
Assume H25: x3 = x7 ⟶ ∀ x9 : ο . x9.
Assume H26: x4 = x7 ⟶ ∀ x9 : ο . x9.
Assume H27: x5 = x7 ⟶ ∀ x9 : ο . x9.
Assume H28: x6 = x7 ⟶ ∀ x9 : ο . x9.
Let x9 of type ι → ι → ο be given.
Assume H29: ∀ x10 : ο . x9 x0 x1 ⟶ x10.
Assume H30: ∀ x10 : ο . x9 x0 x2 ⟶ x10.
Assume H31: ∀ x10 : ο . x9 x1 x2 ⟶ x10.
Assume H32: ∀ x10 : ο . x9 x0 x3 ⟶ x10.
Assume H33: ∀ x10 : ο . x9 x1 x3 ⟶ x10.
Assume H34: x9 x2 x3.
Assume H35: ∀ x10 : ο . x9 x0 x4 ⟶ x10.
Assume H36: x9 x1 x4.
Assume H37: ∀ x10 : ο . x9 x2 x4 ⟶ x10.
Assume H38: x9 x3 x4.
Assume H39: ∀ x10 : ο . x9 x0 x5 ⟶ x10.
Assume H40: x9 x1 x5.
Assume H41: x9 x2 x5.
Assume H42: ∀ x10 : ο . x9 x3 x5 ⟶ x10.
Assume H43: ∀ x10 : ο . x9 x4 x5 ⟶ x10.
Assume H44: x9 x0 x6.
Assume H45: ∀ x10 : ο . x9 x1 x6 ⟶ x10.
Assume H46: ....