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30 lines
741 B
Plaintext
30 lines
741 B
Plaintext
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> 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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