| not (∀ x0 : (ι → ι) → ((ι → ι) → ι → ι → ι) → ι → ο . ∀ x1 : (ι → ((ι → ι → ι) → ι) → ι) → (ι → ι → ι → ι) → ο . ∀ x2 : (ι → ι → ι) → ι → ο . ∀ x3 : (((ι → ι) → ((ι → ι) → ι → ι) → ι → ι → ι) → ((ι → ι → ι) → (ι → ι) → ι) → ι) → ι → ι → ο . (∀ x4 . ∀ x5 : ι → (ι → ι) → ι . ∀ x6 x7 . In x6 (setsum x6 (Inj1 (Inj1 (Inj1 0)))) ⟶ x3 (λ x8 : (ι → ι) → ((ι → ι) → ι → ι) → ι → ι → ι . λ x9 : (ι → ι → ι) → (ι → ι) → ι . setsum (Inj0 0) 0) x4 (Inj0 0)) ⟶ (∀ x4 : (ι → ι → ι) → ι → ι . ∀ x5 . ∀ x6 : ι → ι . ∀ x7 . In (Inj1 (setsum (setsum (setsum 0 0) (setsum 0 0)) x7)) (Inj0 (setsum (x6 x7) x7)) ⟶ x3 (λ x8 : (ι → ι) → ((ι → ι) → ι → ι) → ι → ι → ι . λ x9 : (ι → ι → ι) → (ι → ι) → ι . Inj1 (setsum 0 0)) 0 (Inj0 (Inj0 (setsum (setsum 0 0) (Inj0 0)))) ⟶ x2 (λ x8 x9 . 0) (setsum (Inj0 0) (setsum (x6 0) (x6 (x4 (λ x8 x9 . 0) 0))))) ⟶ (∀ x4 : (ι → (ι → ι) → ι → ι) → (ι → ι) → ι → ι → ι . ∀ x5 : ι → (ι → ι) → ι . ∀ x6 : (ι → (ι → ι) → ι) → (ι → ι → ι) → ι . ∀ x7 : (ι → (ι → ι) → ι) → ((ι → ι) → ι → ι) → ι . In (x5 0 Inj1) (Inj1 (x4 (λ x8 . λ x9 : ι → ι . λ x10 . Inj0 (Inj1 0)) (λ x8 . 0) (setsum 0 0) 0)) ⟶ x2 (λ x8 x9 . Inj1 (setsum (x6 (λ x10 . λ x11 : ι → ι . Inj1 0) (λ x10 x11 . 0)) (x6 (λ x10 . λ x11 : ι → ι . 0) (λ x10 x11 . x9)))) (setsum (setsum (setsum (setsum 0 0) (setsum 0 0)) (setsum (Inj1 0) (Inj1 0))) 0)) ⟶ (∀ x4 : ι → (ι → ι) → ι . ∀ x5 . ∀ x6 : ((ι → ι) → ι → ι → ι) → ι . ∀ x7 . x2 (λ x8 x9 . setsum x9 (Inj1 (setsum (setsum 0 0) 0))) (setsum (x4 (setsum (Inj1 0) (setsum 0 0)) (λ x8 . Inj0 x5)) (setsum (x4 (Inj1 0) (λ x8 . Inj0 0)) (Inj1 0))) ⟶ x3 (λ x8 : (ι → ι) → ((ι → ι) → ι → ι) → ι → ι → ι . λ x9 : (ι → ι → ι) → (ι → ι) → ι . Inj0 (x8 (λ x10 . 0) (λ x10 : ι → ι . λ x11 . 0) 0 (Inj1 (Inj1 0)))) (setsum (setsum (Inj0 (setsum 0 0)) x7) x5) 0) ⟶ (∀ x4 . ∀ x5 : ι → ι . ∀ x6 . ∀ x7 : (ι → ι) → ι → ι . In (Inj0 (x7 (λ x8 . 0) 0)) (Inj1 (Inj0 x4)) ⟶ x1 (λ x8 . λ x9 : (ι → ι → ι) → ι . 0) (λ x8 x9 x10 . 0)) ⟶ (∀ x4 x5 . ∀ x6 x7 : ι → ι . In (setsum 0 (setsum (x7 0) x5)) (Inj1 0) ⟶ x1 (λ x8 . λ x9 : (ι → ι → ι) → ι . 0) (λ x8 x9 x10 . Inj1 0) ⟶ x1 (λ x8 . λ x9 : (ι → ι → ι) → ι . 0) (λ x8 x9 x10 . Inj1 x8)) ⟶ (∀ x4 : ι → ((ι → ι) → ι) → (ι → ι) → ι . ∀ x5 x6 . ∀ x7 : (ι → ι) → ι . In (x4 (Inj0 (Inj1 x5)) (λ x8 : ι → ι . setsum (x7 (λ x9 . x8 0)) (x8 (setsum 0 0))) (λ x8 . 0)) (setsum (Inj1 x6) x6) ⟶ x2 (λ x8 . Inj1) (x7 (λ x8 . x7 (λ x9 . 0))) ⟶ x0 (λ x8 . 0) (λ x8 : ι → ι . λ x9 x10 . setsum (setsum (Inj0 x9) (Inj1 (Inj1 0))) (Inj0 (setsum (Inj0 0) (x8 0)))) (setsum x5 (setsum (setsum 0 (Inj1 0)) (x4 0 (λ x8 : ι → ι . Inj0 0) (λ x8 . x6))))) ⟶ (∀ x4 : (((ι → ι) → ι) → ι) → (ι → ι) → ι . ∀ x5 : ((ι → ι → ι) → ι) → ((ι → ι) → ι) → ι . ∀ x6 x7 . x0 (λ x8 . 0) (λ x8 : ι → ι . λ x9 . setsum 0) x6 ⟶ x0 (λ x8 . x7) (λ x8 : ι → ι . λ x9 x10 . x7) (setsum (Inj0 (Inj1 (x4 (λ x8 : (ι → ι) → ι . 0) (λ x8 . 0)))) (x4 (λ x8 : (ι → ι) → ι . 0) Inj1))) ⟶ False) |
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