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