| λ x0 . λ x1 : ι → ι → ι . and (and (∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ x1 x2 x3 ∈ x0) (∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ x1 x2 (x1 x3 x4) = x1 (x1 x2 x3) x4)) (∃ x2 . and (x2 ∈ x0) (and (∀ x4 . x4 ∈ x0 ⟶ and (x1 x2 x4 = x4) (x1 x4 x2 = x4)) (∀ x4 . x4 ∈ x0 ⟶ ∃ x5 . and (x5 ∈ x0) (and (x1 x4 x5 = x2) (x1 x5 x4 = x2))))) |
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