Idris2-boot/tests/idris2/basic004/Stuff.idr

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-- 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)
data Eq : a -> b -> Type where
Refl : (x : a) -> Eq x x