mirror of
https://github.com/edwinb/Idris2-boot.git
synced 2024-12-11 06:41:04 +03:00
62 lines
1.1 KiB
Idris
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
|