Let x0 of type ι be given.
Let x1 of type ι be given.
Assume H0: x1 ∈ x0.
Let x2 of type ι be given.
Assume H1: x2 ∈ x0.
Let x3 of type ι be given.
Assume H2: x3 ∈ x0.
Let x4 of type ι be given.
Assume H3: x4 ∈ x0.
Let x5 of type ι be given.
Assume H4: x5 ∈ x0.
Let x6 of type ι be given.
Assume H5: x6 ∈ x0.
Let x7 of type ι be given.
Assume H6: x7 ∈ x0.
Let x8 of type ι be given.
Assume H7: x8 ∈ x0.
Let x9 of type ι be given.
Assume H8: x9 ∈ x0.
Let x10 of type ι be given.
Assume H9: x10 ∈ x0.
Let x11 of type ι be given.
Assume H10: x11 ∈ x0.
Let x12 of type ι be given.
Assume H11: x12 ∈ x0.
Let x13 of type ι be given.
Assume H12: x13 ∈ x0.
Let x14 of type ι be given.
Assume H13: x14 ∈ x0.
Let x15 of type ι be given.
Assume H14: x15 ∈ x0.
Let x16 of type ι be given.
Assume H15: x16 ∈ x0.
Let x17 of type ι be given.
Assume H16: x17 ∈ x0.
Let x18 of type ι be given.
Assume H17: x18 ∈ x0.
Let x19 of type ι be given.
Assume H18: x19 ∈ x0.
Let x20 of type ι be given.
Assume H19: x20 ∈ x0.
Let x21 of type ι be given.
Assume H20: x21 ∈ x0.
Let x22 of type ι be given.
Assume H21: x22 ∈ x0.
Let x23 of type ι be given.
Assume H22: x23 ∈ x0.
Let x24 of type ι be given.
Assume H23: x24 ∈ x0.
Let x25 of type ι be given.
Assume H24: x25 ∈ x0.
Let x26 of type ι be given.
Assume H25: x26 ∈ x0.
Let x27 of type ι be given.
Assume H26: x27 ∈ x0.
Let x28 of type ι be given.
Assume H27: x28 ∈ x0.
Let x29 of type ι be given.
Assume H28: x29 ∈ x0.
Assume H29: x1 = x2 ⟶ ∀ x30 : ο . x30.
Assume H30: x1 = x3 ⟶ ∀ x30 : ο . x30.
Assume H31: x2 = x3 ⟶ ∀ x30 : ο . x30.
Assume H32: x1 = x4 ⟶ ∀ x30 : ο . x30.
Assume H33: x2 = x4 ⟶ ∀ x30 : ο . x30.
Assume H34: x3 = x4 ⟶ ∀ x30 : ο . x30.
Assume H35: x1 = x5 ⟶ ∀ x30 : ο . x30.
Assume H36: x2 = x5 ⟶ ∀ x30 : ο . x30.
Assume H37: x3 = x5 ⟶ ∀ x30 : ο . x30.
Assume H38: x4 = x5 ⟶ ∀ x30 : ο . x30.
Assume H39: x1 = x6 ⟶ ∀ x30 : ο . x30.
Assume H40: x2 = x6 ⟶ ∀ x30 : ο . x30.
Assume H41: x3 = x6 ⟶ ∀ x30 : ο . x30.
Assume H42: x4 = x6 ⟶ ∀ x30 : ο . x30.
Assume H43: x5 = x6 ⟶ ∀ x30 : ο . x30.
Assume H44: x1 = x7 ⟶ ∀ x30 : ο . x30.
Assume H45: x2 = x7 ⟶ ∀ x30 : ο . x30.
Assume H46: x3 = x7 ⟶ ∀ x30 : ο . x30.
Assume H47: x4 = x7 ⟶ ∀ x30 : ο . x30.
Assume H48: x5 = x7 ⟶ ∀ x30 : ο . x30.
Assume H49: x6 = x7 ⟶ ∀ x30 : ο . x30.
Assume H50: x1 = x8 ⟶ ∀ x30 : ο . x30.
Assume H51: x2 = x8 ⟶ ∀ x30 : ο . x30.
Assume H52: x3 = x8 ⟶ ∀ x30 : ο . x30.
Assume H53: x4 = x8 ⟶ ∀ x30 : ο . x30.
Assume H54: x5 = x8 ⟶ ∀ x30 : ο . x30.
Assume H55: x6 = x8 ⟶ ∀ x30 : ο . x30.
Assume H56: x7 = x8 ⟶ ∀ x30 : ο . x30.
Assume H57: x1 = x9 ⟶ ∀ x30 : ο . x30.
Assume H58: ... = ... ⟶ ∀ x30 : ο . x30.