| ∀ x0 : ι → (ι → ι → ι) → ο . (∀ x1 . ∀ x2 : ι → ι → ι . (∀ x3 . x3 ∈ x1 ⟶ ∀ x4 . x4 ∈ x1 ⟶ x2 x3 x4 ∈ x1) ⟶ ∀ x3 : ι → ι → ι . (∀ x4 . x4 ∈ x1 ⟶ ∀ x5 . x5 ∈ x1 ⟶ x2 x4 x5 = x3 x4 x5) ⟶ x0 x1 x3 = x0 x1 x2) ⟶ (∀ x1 : ι → ι → ι . (∀ x2 . x2 ∈ 1 ⟶ ∀ x3 . x3 ∈ 1 ⟶ 0 = x1 x2 x3) ⟶ x0 1 x1) ⟶ ∀ x1 : ο . (∀ x2 . (∀ x3 : ο . (∀ x4 : ι → ι . MetaCat_terminal_p (λ x5 . and (struct_b x5) (unpack_b_o x5 x0)) MagmaHom struct_id struct_comp x2 x4 ⟶ x3) ⟶ x3) ⟶ x1) ⟶ x1 |
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