| ∀ x0 . ∀ x1 : ι → ι → ι . (∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ x1 x2 x3 ∈ x0) ⟶ ∀ x2 : ι → ι → ι . (∀ x3 . x3 ∈ x0 ⟶ ∀ x4 . x4 ∈ x0 ⟶ x1 x3 x4 = x2 x3 x4) ⟶ and (∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ x2 (x2 x4 x5) x6 = x2 x4 (x2 x5 x6)) (∃ x4 . and (x4 ∈ x0) (∀ x6 . x6 ∈ x0 ⟶ and (x2 x6 x4 = x6) (x2 x4 x6 = x6))) = and (∀ x4 . x4 ∈ x0 ⟶ ∀ x5 . x5 ∈ x0 ⟶ ∀ x6 . x6 ∈ x0 ⟶ x1 (x1 x4 x5) x6 = x1 x4 (x1 x5 x6)) (∃ x4 . and (x4 ∈ x0) (∀ x6 . x6 ∈ x0 ⟶ and (x1 x6 x4 = x6) (x1 x4 x6 = x6))) |
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