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