λ x0 x1 x2 . λ x3 x4 : ι → ι → ι . λ x5 : ι → ι → ο . and (and (and (and (and (explicit_Field x0 x1 x2 x3 x4) (∀ x6 . prim1 x6 x0 ⟶ ∀ x7 . prim1 x7 x0 ⟶ ∀ x8 . prim1 x8 x0 ⟶ x5 x6 x7 ⟶ x5 x7 x8 ⟶ x5 x6 x8)) (∀ x6 . prim1 x6 x0 ⟶ ∀ x7 . prim1 x7 x0 ⟶ iff (and (x5 x6 x7) (x5 x7 x6)) (x6 = x7))) (∀ x6 . prim1 x6 x0 ⟶ ∀ x7 . prim1 x7 x0 ⟶ or (x5 x6 x7) (x5 x7 x6))) (∀ x6 . prim1 x6 x0 ⟶ ∀ x7 . prim1 x7 x0 ⟶ ∀ x8 . prim1 x8 x0 ⟶ x5 x6 x7 ⟶ x5 (x3 x6 x8) (x3 x7 x8))) (∀ x6 . prim1 x6 x0 ⟶ ∀ x7 . prim1 x7 x0 ⟶ x5 x1 x6 ⟶ x5 x1 x7 ⟶ x5 x1 (x4 x6 x7)) |
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ι → ι → ι → (ι → ι → ι) → (ι → ι → ι) → (ι → ι → ο) → ο |
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name |
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explicit_OrderedField |
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