λ x0 : ι → ο . λ x1 : ι → ι → ι → ο . λ x2 : ι → ι . λ x3 : ι → ι → ι → ι → ι → ι . λ x4 x5 x6 x7 x8 x9 x10 x11 . λ x12 : ι → ι → ι → ι . and (and (and (and (and (and (and (and (and (x0 x4) (x0 x5)) (x0 x6)) (x1 x4 x6 x7)) (x1 x5 x6 x8)) (x0 x9)) (x1 x9 x4 x10)) (x1 x9 x5 x11)) (x3 x9 x4 x6 x7 x10 = x3 x9 x5 x6 x8 x11)) (∀ x13 . x0 x13 ⟶ ∀ x14 . x1 x13 x4 x14 ⟶ ∀ x15 . x1 x13 x5 x15 ⟶ x3 x13 x4 x6 x7 x14 = x3 x13 x5 x6 x8 x15 ⟶ and (and (and (x1 x13 x9 (x12 x13 x14 x15)) (x3 x13 x9 x4 x10 (x12 x13 x14 x15) = x14)) (x3 x13 x9 x5 x11 (x12 x13 x14 x15) = x15)) (∀ x16 . x1 x13 x9 x16 ⟶ x3 x13 x9 x4 x10 x16 = x14 ⟶ x3 x13 x9 x5 x11 x16 = x15 ⟶ x16 = x12 x13 x14 x15)) |
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(ι → ο) → (ι → ι → ι → ο) → (ι → ι) → (ι → ι → ι → ι → ι → ι) → ι → ι → ι → ι → ι → ι → ι → ι → (ι → ι → ι → ι) → ο |
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