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