| (∀ x0 x1 . ∀ x2 : ι → ι → ι . ∀ x3 . x3 ∈ x1 ⟶ ap (lam x1 (λ x5 . If_i (x5 = x3) x0 (x2 (ordsucc x3) x5))) x3 = x0) ⟶ (∀ x0 x1 . ∀ x2 : ι → ι → ι . ∀ x3 x4 . (x4 = x3 ⟶ ∀ x5 : ο . x5) ⟶ ap (lam x1 (λ x6 . If_i (x6 = x3) x0 (x2 (ordsucc x3) x6))) x4 = ap (lam x1 (x2 (ordsucc x3))) x4) ⟶ ∀ x0 x1 x2 x3 x4 x5 x6 x7 x8 x9 x10 x11 x12 x13 x14 x15 x16 . ap (lam 17 (λ x18 . If_i (x18 = 0) x0 (If_i (x18 = 1) x1 (If_i (x18 = 2) x2 (If_i (x18 = 3) x3 (If_i (x18 = 4) x4 (If_i (x18 = 5) x5 (If_i (x18 = 6) x6 (If_i (x18 = 7) x7 (If_i (x18 = 8) x8 (If_i (x18 = 9) x9 (If_i (x18 = 10) x10 (If_i (x18 = 11) x11 (If_i (x18 = 12) x12 (If_i (x18 = 13) x13 (If_i (x18 = 14) x14 (If_i (x18 = 15) x15 x16))))))))))))))))) u15 = x15 |
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