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28 lines
555 B
Plaintext
28 lines
555 B
Plaintext
data Bool : Type where
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False : Bool
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True : Bool
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not : Bool -> Bool
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not False = True
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not True = False
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data Nat : Type where
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Z : Nat
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S : Nat -> Nat
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plus : Nat -> Nat -> Nat
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plus Z y = y
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plus (S k) y = S (plus k y)
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data Vect : ? -> Type -> Type where
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Nil : Vect Z a
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Cons : a -> Vect k a -> Vect (S k) a
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data Pair : Type -> Type -> Type where
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MkPair : a -> b -> Pair a b
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zip : Vect n a -> Vect n b -> Vect n (Pair a b)
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zip Nil Z impossible
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zip Nil Nil = Nil
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zip (Cons x xs) (Cons y ys) = Cons (MkPair x y) (zip xs ys)
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