| ∀ x0 . ∀ x1 : ι → ι → ι . (∀ x2 . x2 ∈ x0 ⟶ ∀ x3 . x3 ∈ x0 ⟶ x1 x2 x3 ∈ x0) ⟶ explicit_Group x0 x1 ⟶ ∀ x2 . ∀ x3 : ι → ι → ι . (∀ x4 . x4 ∈ x2 ⟶ ∀ x5 . x5 ∈ x2 ⟶ x3 x4 x5 ∈ x2) ⟶ explicit_Group x2 x3 ⟶ ∀ x4 : ι → ι → ι . (∀ x5 . x5 ∈ setprod x0 x2 ⟶ ∀ x6 . x6 ∈ setprod x0 x2 ⟶ lam 2 (λ x8 . If_i (x8 = 0) (x1 (ap x5 0) (ap x6 0)) (x3 (ap x5 1) (ap x6 1))) = x4 x5 x6) ⟶ explicit_Group (setprod x0 x2) x4 |
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