Idris2-boot/tests/ttimp/coverage001/Vect.yaff

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2019-06-02 23:21:07 +03:00
data Bool : Type where
False : Bool
True : Bool
not : Bool -> Bool
not False = True
not True = False
data Nat : Type where
Z : Nat
S : Nat -> Nat
plus : Nat -> Nat -> Nat
plus Z y = y
plus (S k) y = S (plus k y)
data Vect : ? -> Type -> Type where
Nil : Vect Z a
Cons : a -> Vect k a -> Vect (S k) a
data Pair : Type -> Type -> Type where
MkPair : a -> b -> Pair a b
zip : Vect n a -> Vect n b -> Vect n (Pair a b)
zip Nil (Cons _ _) impossible
zip Nil Nil = Nil
zip (Cons x xs) (Cons y ys) = Cons (MkPair x y) (zip xs ys)