| (∀ x0 : (((((ι → ι) → ι) → ι) → ((ι → ι) → ι) → ι) → (((ι → ι) → ι) → ι → ι) → ι) → ((((ι → ι) → ι) → (ι → ι) → ι → ι) → ι → ι) → ο . ∀ x1 : (((ι → ι → ι) → ((ι → ι) → ι → ι) → ι) → ι → ι) → ((ι → (ι → ι) → ι) → ι → ι) → ο . ∀ x2 : (ι → ι) → ι → ο . ∀ x3 : (ι → ι) → ι → ι → ο . (∀ x4 : ι → ι . ∀ x5 : (((ι → ι) → ι) → ι) → ι . ∀ x6 x7 : (ι → ι → ι) → ι . In (setsum (setsum (setsum (x4 0) (setsum 0 0)) (Inj0 0)) (setsum (x6 (λ x8 x9 . Inj1 0)) 0)) (Inj1 (setsum (setsum (Inj1 0) (setsum 0 0)) 0)) ⟶ x3 (λ x8 . 0) 0 (setsum (setsum (x7 (λ x8 x9 . setsum 0 0)) 0) (Inj1 (Inj1 (Inj0 0)))) ⟶ x3 (λ x8 . setsum (Inj1 (setsum (x7 (λ x9 x10 . 0)) (setsum 0 0))) (Inj1 (setsum 0 (x5 (λ x9 : (ι → ι) → ι . 0))))) (x4 (x7 (λ x8 x9 . setsum 0 (Inj1 0)))) 0) ⟶ (∀ x4 : ι → ι . ∀ x5 : (ι → ι) → ι → (ι → ι) → ι → ι . ∀ x6 x7 . In (Inj0 0) x7 ⟶ x3 (λ x8 . Inj0 0) 0 x6 ⟶ x3 (λ x8 . 0) (setsum 0 0) (Inj0 (Inj1 0))) ⟶ (∀ x4 : ((ι → ι) → (ι → ι) → ι) → ι . ∀ x5 . ∀ x6 : ι → ι . ∀ x7 . x1 (λ x8 : (ι → ι → ι) → ((ι → ι) → ι → ι) → ι . λ x9 . 0) (λ x8 : ι → (ι → ι) → ι . setsum x7) ⟶ x2 (λ x8 . 0) (x4 (λ x8 x9 : ι → ι . Inj1 (Inj0 0)))) ⟶ (∀ x4 . ∀ x5 : (ι → ι) → (ι → ι) → ι . ∀ x6 : ι → ι . ∀ x7 . In (setsum x4 (setsum (Inj0 (setsum 0 0)) (setsum 0 x7))) (Inj1 0) ⟶ x2 (λ x8 . Inj1 (Inj1 0)) (setsum 0 x7) ⟶ x2 (λ x8 . x7) (Inj0 (Inj1 0))) ⟶ (∀ x4 x5 . ∀ x6 : ((ι → ι) → ι) → ι . ∀ x7 . In (Inj1 (setsum (Inj1 0) (Inj1 (x6 (λ x8 : ι → ι . 0))))) (Inj0 (setsum 0 (setsum (setsum 0 0) (setsum 0 0)))) ⟶ x2 (λ x8 . Inj0 (x6 (λ x9 : ι → ι . setsum (Inj0 0) 0))) x5 ⟶ x1 (λ x8 : (ι → ι → ι) → ((ι → ι) → ι → ι) → ι . λ x9 . Inj0 (Inj0 (x6 (λ x10 : ι → ι . x7)))) (λ x8 : ι → (ι → ι) → ι . λ x9 . setsum 0 (setsum (setsum (Inj1 0) x9) (Inj0 x7)))) ⟶ (∀ x4 : (ι → ι) → ((ι → ι) → ι) → (ι → ι) → ι → ι . ∀ x5 x6 x7 . x1 (λ x8 : (ι → ι → ι) → ((ι → ι) → ι → ι) → ι . λ x9 . setsum (setsum 0 (setsum x9 0)) 0) (λ x8 : ι → (ι → ι) → ι . setsum 0) ⟶ False) ⟶ (∀ x4 : ι → ι → ι . ∀ x5 x6 . ∀ x7 : ι → ι . x0 (λ x8 : (((ι → ι) → ι) → ι) → ((ι → ι) → ι) → ι . λ x9 : ((ι → ι) → ι) → ι → ι . setsum (Inj0 0) x6) (λ x8 : ((ι → ι) → ι) → (ι → ι) → ι → ι . λ x9 . 0)) ⟶ (∀ x4 : (ι → ι) → ι . ∀ x5 . ∀ x6 : ((ι → ι → ι) → ι → ι → ι) → (ι → ι → ι) → ι → ι → ι . ∀ x7 . x0 (λ x8 : (((ι → ι) → ι) → ι) → ((ι → ι) → ι) → ι . λ x9 : ((ι → ι) → ι) → ι → ι . x7) (λ x8 : ((ι → ι) → ι) → (ι → ι) → ι → ι . λ x9 . x6 (λ x10 : ι → ι → ι . λ x11 x12 . setsum 0 (setsum (Inj0 0) (setsum 0 0))) (λ x10 x11 . setsum x9 (x8 (λ x12 : ι → ι . setsum 0 0) (λ x12 . Inj0 0) x9)) x9 (setsum (Inj0 0) (Inj0 (setsum 0 0)))) ⟶ x0 (λ x8 : (((ι → ι) → ι) → ι) → ((ι → ι) → ι) → ι . λ x9 : ((ι → ι) → ι) → ι → ι . setsum (x6 (λ x10 : ι → ι → ι . λ x11 x12 . setsum x12 0) (λ x10 x11 . x10) x7 (Inj0 (setsum 0 0))) 0) (λ x8 : ((ι → ι) → ι) → (ι → ι) → ι → ι . λ x9 . setsum (setsum (setsum (setsum 0 0) 0) (setsum (setsum 0 0) 0)) (setsum (Inj1 (setsum 0 0)) (Inj1 (setsum 0 0))))) ⟶ False) ⟶ ∀ x0 : ο . x0 |
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