| ∀ x0 : ι → ο . ∀ x1 x2 : ι → ι → ι . (∀ x3 x4 . x0 x3 ⟶ x0 x4 ⟶ x0 (x1 x3 x4)) ⟶ (∀ x3 x4 x5 . x0 x3 ⟶ x0 x4 ⟶ x0 x5 ⟶ x2 (x1 x3 x4) x5 = x1 (x2 x3 x5) (x2 x4 x5)) ⟶ (∀ x3 x4 x5 . x0 x3 ⟶ x0 x4 ⟶ x0 x5 ⟶ x2 x3 (x1 x4 x5) = x1 (x2 x3 x4) (x2 x3 x5)) ⟶ (∀ x3 x4 . x0 x3 ⟶ x0 x4 ⟶ x0 (x2 x3 x4)) ⟶ (∀ x3 x4 . x0 x3 ⟶ x0 x4 ⟶ x2 x3 x4 = x2 x4 x3) ⟶ (∀ x3 x4 x5 . x0 x3 ⟶ x0 x4 ⟶ x0 x5 ⟶ x1 (x1 x3 x4) (x1 x4 x5) = x1 x3 (x1 (x2 2 x4) x5)) ⟶ ∀ x3 x4 . x0 x3 ⟶ x0 x4 ⟶ x2 (x1 x3 x4) (x1 x3 x4) = x1 (x2 x3 x3) (x1 (x2 2 (x2 x3 x4)) (x2 x4 x4)) |
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