quox/tests/TermImpls.idr

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module TermImpls
import Quox.Syntax
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import public Quox.Pretty
private
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eqShiftLen : Shift from1 to -> Shift from2 to -> Maybe (from1 = from2)
eqShiftLen SZ SZ = Just Refl
eqShiftLen (SS by) (SS bz) = eqShiftLen by bz
eqShiftLen _ _ = Nothing
private
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eqSubstLen : Subst tm1 from1 to -> Subst tm2 from2 to -> Maybe (from1 = from2)
eqSubstLen (Shift by) (Shift bz) = eqShiftLen by bz
eqSubstLen (_ ::: th) (_ ::: ph) = cong S <$> eqSubstLen th ph
eqSubstLen _ _ = Nothing
-- maybe from1 = from2 in the last case, but this is for
-- (==), and the substs aren't 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
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Pi qty1 arg1 res1 == Pi qty2 arg2 res2 =
qty1 == qty2 && arg1 == arg2 && res1 == res2
Pi {} == _ = False
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Lam body1 == Lam body2 = body1 == body2
Lam {} == _ = False
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Sig fst1 snd1 == Sig fst2 snd2 = fst1 == fst2 && snd1 == snd2
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Sig {} == _ = False
Pair fst1 snd1 == Pair fst2 snd2 = fst1 == fst2 && snd1 == snd2
Pair {} == _ = False
Enum ts1 == Enum ts2 = ts1 == ts2
Enum _ == _ = False
Tag t1 == Tag t2 = t1 == t2
Tag _ == _ = False
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Eq ty1 l1 r1 == Eq ty2 l2 r2 =
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ty1 == ty2 && l1 == l2 && r1 == r2
Eq {} == _ = False
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DLam body1 == DLam body2 = body1 == body2
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DLam {} == _ = False
E e == E f = e == f
E _ == _ = False
CloT tm1 th1 == CloT tm2 th2 =
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case eqSubstLen th1 th2 of
Just Refl => tm1 == tm2 && th1 == th2
Nothing => False
CloT {} == _ = False
DCloT tm1 th1 == DCloT tm2 th2 =
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case eqSubstLen 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
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CasePair q1 p1 r1 b1 == CasePair q2 p2 r2 b2 =
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q1 == q2 && p1 == p2 && r1 == r2 && b1 == b2
CasePair {} == _ = False
CaseEnum q1 t1 r1 a1 == CaseEnum q2 t2 r2 a2 =
q1 == q2 && t1 == t2 && r1 == r2 && a1 == a2
CaseEnum {} == _ = False
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(fun1 :% dim1) == (fun2 :% dim2) = fun1 == fun2 && dim1 == dim2
(_ :% _) == _ = False
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(tm1 :# ty1) == (tm2 :# ty2) = tm1 == tm2 && ty1 == ty2
(_ :# _) == _ = False
CloE el1 th1 == CloE el2 th2 =
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case eqSubstLen th1 th2 of
Just Refl => el1 == el2 && th1 == th2
Nothing => False
CloE {} == _ = False
DCloE el1 th1 == DCloE el2 th2 =
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case eqSubstLen th1 th2 of
Just Refl => el1 == el2 && th1 == th2
Nothing => False
DCloE {} == _ = False
export covering
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(forall n. Eq (f n)) => Eq (ScopedBody s f n) where
Y x == Y y = x == y
N x == N y = x == y
_ == _ = False
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export covering
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(forall n. Eq (f n)) => Eq (Scoped s f n) where
S _ x == S _ y = x == y
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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