| ∀ x0 : ι → ι → ο . (∀ x1 x2 . x0 x1 x2 ⟶ x0 x2 x1) ⟶ not (or (∃ x1 . and (x1 ⊆ u9) (and (equip u3 x1) (∀ x3 . x3 ∈ x1 ⟶ ∀ x4 . x4 ∈ x1 ⟶ (x3 = x4 ⟶ ∀ x5 : ο . x5) ⟶ x0 x3 x4))) (∃ x1 . and (x1 ⊆ u9) (and (equip u4 x1) (∀ x3 . x3 ∈ x1 ⟶ ∀ x4 . x4 ∈ x1 ⟶ (x3 = x4 ⟶ ∀ x5 : ο . x5) ⟶ not (x0 x3 x4))))) ⟶ ∀ x1 . x1 ∈ u9 ⟶ ∀ x2 . x2 ∈ u9 ⟶ ∀ x3 . x3 ∈ u9 ⟶ ∀ x4 . x4 ∈ u9 ⟶ (x1 = x2 ⟶ ∀ x5 : ο . x5) ⟶ (x1 = x3 ⟶ ∀ x5 : ο . x5) ⟶ (x1 = x4 ⟶ ∀ x5 : ο . x5) ⟶ (x2 = x3 ⟶ ∀ x5 : ο . x5) ⟶ (x2 = x4 ⟶ ∀ x5 : ο . x5) ⟶ (x3 = x4 ⟶ ∀ x5 : ο . x5) ⟶ x0 x1 x2 ⟶ x0 x1 x3 ⟶ x0 x1 x4 ⟶ ∀ x5 . x5 ∈ u9 ⟶ x0 x1 x5 ⟶ x5 ∈ SetAdjoin (SetAdjoin (UPair x1 x2) x3) x4 |
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