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36 lines
821 B
Idris
36 lines
821 B
Idris
data Vect : Nat -> Type -> Type where
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Nil : Vect Z a
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(::) : a -> Vect k a -> Vect (S k) a
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%name Vect xs, ys, zs
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my_cong : forall f . (x : a) -> (y : a) -> x = y -> f x = f y
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my_curry : ((a, b) -> c) -> a -> b -> c
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my_uncurry : (a -> b -> c) -> (a, b) -> c
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append : Vect n a -> Vect m a -> Vect (n + m) a
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lappend : (1 xs : List a) -> (1 ys : List a) -> List a
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zipWith : (a -> b -> c) -> Vect n a -> Vect n b -> Vect n c
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data Env : Vect n Type -> Type where
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ENil : Env []
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ECons : a -> Env xs -> Env (a :: xs)
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%name Env es
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data Elem : a -> Vect n a -> Type where
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Here : Elem x (x :: xs)
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There : (p : Elem x xs) -> Elem x (y :: xs)
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lookup : Elem ty vs -> Env vs -> ty
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data Tree : (a : Type) -> Type where
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Leaf : a -> Tree a
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Node : a -> Tree a -> Tree a -> Tree a
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foo : Tree Nat
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