| ∀ 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 x6 x7 x8 x9 x10 x11 x12 . x0 x3 ⟶ x0 x4 ⟶ x0 x5 ⟶ x0 x6 ⟶ x0 x7 ⟶ x0 x8 ⟶ x0 x9 ⟶ x0 x10 ⟶ x0 x11 ⟶ x0 x12 ⟶ x2 x12 (x1 x3 (x1 x4 (x1 x5 (x1 x6 (x1 x7 (x1 x8 (x1 x9 (x1 x10 x11)))))))) = x1 (x2 x12 x3) (x1 (x2 x12 x4) (x1 (x2 x12 x5) (x1 (x2 x12 x6) (x1 (x2 x12 x7) (x1 (x2 x12 x8) (x1 (x2 x12 x9) (x1 (x2 x12 x10) (x2 x12 x11)))))))) |
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