| ∀ 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 x3 (x1 x4 x5) = x1 (x2 x3 x4) (x2 x3 x5)) ⟶ (∀ x3 x4 x5 . x0 x3 ⟶ x0 x4 ⟶ x0 x5 ⟶ x2 (x1 x3 x4) x5 = x1 (x2 x3 x5) (x2 x4 x5)) ⟶ ∀ x3 x4 x5 x6 x7 x8 x9 . x0 x3 ⟶ x0 x4 ⟶ x0 x5 ⟶ x0 x6 ⟶ x0 x7 ⟶ x0 x8 ⟶ x0 x9 ⟶ x2 (x1 x3 (x1 x4 (x1 x5 (x1 x6 x7)))) (x1 x8 x9) = x1 (x1 (x2 x3 x8) (x2 x3 x9)) (x1 (x1 (x2 x4 x8) (x2 x4 x9)) (x1 (x1 (x2 x5 x8) (x2 x5 x9)) (x1 (x1 (x2 x6 x8) (x2 x6 x9)) (x1 (x2 x7 x8) (x2 x7 x9))))) |
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