| ∀ x0 . ∀ x1 : ι → ο . (∀ x2 . x1 x2 ⟶ ∀ x3 . x3 ∈ x2 ⟶ nIn x0 x3) ⟶ ∀ x2 : ι → ι . ∀ x3 : ι → ι → ι . (∀ x4 . x1 x4 ⟶ x1 (x2 x4)) ⟶ (∀ x4 x5 . x1 x4 ⟶ x1 x5 ⟶ x1 (x3 x4 x5)) ⟶ (∀ x4 x5 . x1 x4 ⟶ x1 x5 ⟶ x2 (x3 x4 x5) = x3 (x2 x4) (x2 x5)) ⟶ ∀ x4 x5 . CD_carr x0 x1 x4 ⟶ CD_carr x0 x1 x5 ⟶ CD_minus x0 x1 x2 (CD_add x0 x1 x3 x4 x5) = CD_add x0 x1 x3 (CD_minus x0 x1 x2 x4) (CD_minus x0 x1 x2 x5) |
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