module Quox.Definition

import public Quox.Syntax
import public Data.SortedMap
import public Control.Monad.State


public export
record AnyTerm where
  constructor T
  get : forall d, n. Term d n

public export
record Definition where
  constructor MkDef'
  qty  : Qty
  type : AnyTerm
  term : Maybe AnyTerm
  {auto 0 qtyGlobal : IsGlobal qty}

public export %inline
mkDef : (qty : Qty) -> (0 _ : IsGlobal qty) =>
        (type, term : forall d, n. Term d n) -> Definition
mkDef qty type term = MkDef' {qty, type = T type, term = Just (T term)}

public export %inline
mkAbstract : (qty : Qty) -> (0 _ : IsGlobal qty) =>
             (type : forall d, n. Term d n) -> Definition
mkAbstract qty type = MkDef' {qty, type = T type, term = Nothing}


public export %inline
(.type0) : Definition -> Term 0 0
g.type0 = g.type.get

public export %inline
(.term0) : Definition -> Maybe (Term 0 0)
g.term0 = map (\t => t.get) g.term

public export %inline
(.qtyP) : Definition -> Subset Qty IsGlobal
g.qtyP = Element g.qty g.qtyGlobal

public export %inline
isZero : Definition -> Bool
isZero g = g.qty == Zero

public export
Definitions : Type
Definitions = SortedMap Name Definition