{-# LANGUAGE FlexibleContexts #-}
{-# LANGUAGE GADTs #-}
{-# LANGUAGE MultiParamTypeClasses #-}
{-# LANGUAGE OverloadedStrings #-}
{-# LANGUAGE ScopedTypeVariables #-}
{-# LANGUAGE TypeFamilies #-}
{-# LANGUAGE TypeOperators #-}
module Language.Symantic.Type.Bool where

import Data.Maybe (isJust)
import Data.Type.Equality ((:~:)(Refl))

import Language.Symantic.Type.Common

-- * Type 'Type_Bool'
-- | The 'Bool' type.
data Type_Bool (root:: * -> *) h where
	Type_Bool :: Type_Bool root Bool
type instance Root_of_Type      (Type_Bool root) = root
type instance Error_of_Type ast (Type_Bool root) = No_Error_Type

instance -- Type_Eq
 Type_Eq (Type_Bool root) where
	type_eq Type_Bool Type_Bool = Just Refl
instance -- Eq
 Eq (Type_Bool root h) where
	x == y = isJust $ x `type_eq` y
instance -- String_from_Type
 String_from_Type (Type_Bool root) where
	string_from_type Type_Bool = "Bool"
instance -- Show
 Show (Type_Bool root h) where
	show = string_from_type
instance Type_Constraint Eq (Type_Bool root) where
	type_constraint _c Type_Bool = Just Dict
instance Type_Constraint Ord (Type_Bool root) where
	type_constraint _c Type_Bool = Just Dict

-- | Convenient alias to include a 'Type_Bool' within a type.
type_bool :: Type_Root_Lift Type_Bool root => root Bool
type_bool = type_root_lift Type_Bool