Apply unknownprop_50f1b502ede8f73efac5f5638826e50355eb6f972374cae79b4ecf4e1be40675 with
∀ x0 : (ι → ι) → ι → ο . ∀ x1 x2 : ((ι → ι) → ι) → ι → ι → ο . ∀ x3 : (ι → ((ι → ι) → ι) → ι) → ι → (((ι → ι) → ι) → ι → ι) → ο . (∀ x4 x5 x6 x7 . ... ⟶ x1 (λ x8 : ι → ι . ...) ... ... ⟶ x3 (λ x8 . λ x9 : (ι → ι) → ι . x9 (λ x10 . x8)) x5 (λ x8 : (ι → ι) → ι . λ x9 . Inj0 0)) ⟶ (∀ x4 : ι → ι → ι . ∀ x5 . ∀ x6 : ι → ι → ι . ∀ x7 : ι → (ι → ι → ι) → ι . x3 (λ x8 . λ x9 : (ι → ι) → ι . setsum (x9 (λ x10 . setsum (setsum 0 0) x8)) 0) 0 (λ x8 : (ι → ι) → ι . λ x9 . setsum (x8 (λ x10 . x8 (λ x11 . setsum 0 0))) 0) ⟶ False) ⟶ (∀ x4 . ∀ x5 : ι → (ι → ι) → ι . ∀ x6 : ι → ι . ∀ x7 : (ι → ι) → (ι → ι → ι) → ι → ι . x0 (λ x8 . 0) (x6 (Inj0 (setsum (setsum 0 0) (setsum 0 0)))) ⟶ x2 (λ x8 : ι → ι . setsum (setsum (x8 0) 0) (x7 (λ x9 . 0) (λ x9 x10 . setsum (Inj0 0) 0) (x6 (Inj0 0)))) 0 (x7 (λ x8 . Inj1 (x5 0 (λ x9 . 0))) (λ x8 x9 . x8) 0)) ⟶ (∀ x4 . ∀ x5 : ι → ((ι → ι) → ι → ι) → (ι → ι) → ι . ∀ x6 x7 . x2 (λ x8 : ι → ι . x6) (setsum (setsum x4 x7) (setsum 0 0)) (Inj0 0) ⟶ x0 (λ x8 . Inj0 (x5 0 (λ x9 : ι → ι . λ x10 . Inj1 (Inj0 0)) (λ x9 . 0))) (setsum x6 (Inj0 (Inj0 (Inj1 0))))) ⟶ (∀ x4 . ∀ x5 : ι → ι . ∀ x6 : (ι → ι) → ι → ι . ∀ x7 . x0 (λ x8 . 0) (Inj1 x4) ⟶ x1 (λ x8 : ι → ι . setsum 0 (Inj0 (Inj1 (Inj1 0)))) x4 (setsum 0 0)) ⟶ (∀ x4 : ι → ι . ∀ x5 . ∀ x6 : ι → (ι → ι) → ι . ∀ x7 : (((ι → ι) → ι) → ι) → ι → ι → ι → ι . x1 (λ x8 : ι → ι . setsum 0 x5) (setsum (Inj1 0) (setsum (Inj0 (setsum 0 0)) 0)) (Inj1 (x7 (λ x8 : (ι → ι) → ι . x6 (Inj0 0) (λ x9 . Inj1 0)) (Inj1 (Inj0 0)) (Inj0 (setsum 0 0)) 0)) ⟶ In (Inj0 (Inj0 (x7 (λ x8 : (ι → ι) → ι . x8 (λ x9 . 0)) x5 (Inj1 0) (Inj0 0)))) (x4 x5)) ⟶ (∀ x4 x5 . ∀ x6 : ι → ι → ι . ∀ x7 . In (setsum x7 (setsum 0 0)) (Inj0 x7) ⟶ x0 (λ x8 . x8) (Inj1 0) ⟶ x0 (λ x8 . x6 0 (setsum 0 (Inj0 0))) (setsum (setsum (Inj1 x5) 0) (setsum (x6 0 x4) (setsum (Inj1 0) (x6 0 0))))) ⟶ (∀ x4 x5 . ∀ x6 : (ι → ι) → ι . ∀ x7 : (((ι → ι) → ι) → (ι → ι) → ι → ι) → (ι → ι → ι) → (ι → ι) → ι → ι . x0 (λ x8 . x6 (λ x9 . Inj1 0)) (Inj1 (setsum 0 (Inj1 (setsum 0 0)))) ⟶ False) ⟶ False.