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