quox/tests/TermImpls.idr

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module TermImpls
import Quox.Syntax
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import public Quox.Pretty
private
eqShift : Shift from1 to -> Shift from2 to -> Maybe (from1 = from2)
eqShift SZ SZ = Just Refl
eqShift (SS by) (SS bz) = eqShift by bz
eqShift SZ (SS by) = Nothing
eqShift (SS by) SZ = Nothing
private
eqSubst : Subst tm1 from1 to -> Subst tm2 from2 to -> Maybe (from1 = from2)
eqSubst (Shift by) (Shift bz) = eqShift by bz
eqSubst (_ ::: th) (_ ::: ph) = cong S <$> eqSubst th ph
eqSubst (Shift _) (_ ::: _) = Nothing
eqSubst (_ ::: _) (Shift _) = Nothing
-- maybe from1 = from2 in the last two cases, but this is for
-- (==), and they're not equal, so who cares
mutual
export covering
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Eq q => Eq (Term q d n) where
TYPE k == TYPE l = k == l
TYPE _ == _ = False
Pi qty1 _ arg1 res1 == Pi qty2 _ arg2 res2 =
qty1 == qty2 && arg1 == arg2 && res1 == res2
Pi {} == _ = False
Lam _ body1 == Lam _ body2 = body1 == body2
Lam {} == _ = False
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Eq _ ty1 l1 r1 == Eq _ ty2 l2 r2 =
ty1 == ty2 && l1 == l2 && r1 == r2
Eq {} == _ = False
DLam _ body1 == DLam _ body2 = body1 == body2
DLam {} == _ = False
E e == E f = e == f
E _ == _ = False
CloT tm1 th1 == CloT tm2 th2 =
case eqSubst th1 th2 of
Just Refl => tm1 == tm2 && th1 == th2
Nothing => False
CloT {} == _ = False
DCloT tm1 th1 == DCloT tm2 th2 =
case eqSubst th1 th2 of
Just Refl => tm1 == tm2 && th1 == th2
Nothing => False
DCloT {} == _ = False
export covering
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Eq q => Eq (Elim q d n) where
F x == F y = x == y
F _ == _ = False
B i == B j = i == j
B _ == _ = False
(fun1 :@ arg1) == (fun2 :@ arg2) = fun1 == fun2 && arg1 == arg2
(_ :@ _) == _ = False
(tm1 :# ty1) == (tm2 :# ty2) = tm1 == tm2 && ty1 == ty2
(_ :# _) == _ = False
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(fun1 :% dim1) == (fun2 :% dim2) = fun1 == fun2 && dim1 == dim2
(_ :% _) == _ = False
CloE el1 th1 == CloE el2 th2 =
case eqSubst th1 th2 of
Just Refl => el1 == el2 && th1 == th2
Nothing => False
CloE {} == _ = False
DCloE el1 th1 == DCloE el2 th2 =
case eqSubst th1 th2 of
Just Refl => el1 == el2 && th1 == th2
Nothing => False
DCloE {} == _ = False
export covering
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Eq q => Eq (ScopeTerm q d n) where
TUsed s == TUsed t = s == t
TUnused s == TUnused t = s == t
TUsed _ == TUnused _ = False
TUnused _ == TUsed _ = False
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export covering
Eq q => Eq (DScopeTerm q d n) where
DUsed s == DUsed t = s == t
DUnused s == DUnused t = s == t
DUsed _ == DUnused _ = False
DUnused _ == DUsed _ = False
export covering
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PrettyHL q => Show (Term q d n) where
showPrec d t = showParens (d /= Open) $ prettyStr True t
export covering
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PrettyHL q => Show (Elim q d n) where
showPrec d e = showParens (d /= Open) $ prettyStr True e