Idris2/tests/idris2/basic/basic006/Stuff.idr
2023-09-07 14:57:22 +01:00

62 lines
1.1 KiB
Idris

-- a mini prelude
module Stuff
public export
data Bool = True | False
public export
not : Bool -> Bool
not True = False
not False = True
public export
data Maybe a = Nothing | Just a
public export
intToBool : Int -> Bool
intToBool 0 = False
intToBool x = True
public export
ifThenElse : Bool -> Lazy a -> Lazy a -> a
ifThenElse True t e = t
ifThenElse False t e = e
public export
data Nat = Z | S Nat
public export
fromInteger : Integer -> Nat
fromInteger x = ifThenElse (intToBool (prim__eq_Integer x 0))
Z (S (fromInteger (prim__sub_Integer x 1)))
public export
plus : Nat -> Nat -> Nat
plus Z y = y
plus (S k) y = S (plus k y)
infixr 5 ::
public export
data List a = Nil | (::) a (List a)
public export
data Equal : a -> b -> Type where
Refl : (0 x : a) -> Equal x x
public export
data Unit = MkUnit
public export
data Pair : Type -> Type -> Type where
MkPair : {0 a, b : Type} -> (1 x : a) -> (1 y : b) -> Pair a b
public export
data Unrestricted : Type -> Type where
Un : (x : a) -> Unrestricted a
public export
the : (a : Type) -> a -> a
the _ x = x