| ∀ x0 x1 x2 x3 . ∀ x4 : ι → ι → ο . ∀ x5 : ι → ι . equip x0 x1 ⟶ bij x2 x3 x5 ⟶ (∀ x6 : ο . (∀ x7 . and (x7 ⊆ x2) (and (equip x0 x7) (∀ x8 . x8 ∈ x7 ⟶ ∀ x9 . x9 ∈ x7 ⟶ (x8 = x9 ⟶ ∀ x10 : ο . x10) ⟶ x4 (x5 x8) (x5 x9))) ⟶ x6) ⟶ x6) ⟶ ∀ x6 : ο . (∀ x7 . and (x7 ⊆ x3) (and (equip x1 x7) (∀ x8 . x8 ∈ x7 ⟶ ∀ x9 . x9 ∈ x7 ⟶ (x8 = x9 ⟶ ∀ x10 : ο . x10) ⟶ x4 x8 x9)) ⟶ x6) ⟶ x6 |
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