From 28cdf5aadb17c38615f5a272f8812ec91ccde15c Mon Sep 17 00:00:00 2001
From: gentzen
Date: Tue, 30 Aug 2011 06:59:54 0700
Subject: [PATCH] update baked in CoqPass.hs

build/CoqPass.hs  346 +++++++++++++++++++++++++++++++++++
1 file changed, 227 insertions(+), 119 deletions()
diff git a/build/CoqPass.hs b/build/CoqPass.hs
index b81d20b..25dc1db 100644
 a/build/CoqPass.hs
+++ b/build/CoqPass.hs
@@ 406,6 +406,33 @@ unleaves l =
([]) > (trace "X" (T_Leaf (trace "X" (Prelude.Nothing))));
(:) a b > (trace "X" (T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (a)))))))) (trace "X" ((trace "X" ((unleaves (trace "X" (b)))))))))}))
+list_ins :: Nat > a1 > (([]) a1) > ([]) a1
+list_ins n t l =
+ (trace "X" (case (trace "X" (n)) of {
+ O > (trace "X" ((:) (trace "X" (t)) (trace "X" (l))));
+ S n' >
+ (trace "X" (case (trace "X" (l)) of {
+ ([]) > (trace "X" ((:) (trace "X" (t)) (trace "X" (([])))));
+ (:) a b > (trace "X" ((:) (trace "X" (a)) (trace "X" ((trace "X" ((list_ins (trace "X" (n')) (trace "X" (t)) (trace "X" (b)))))))))}))}))
+
+list_take :: (([]) a1) > Nat > ([]) a1
+list_take l n =
+ (trace "X" (case (trace "X" (n)) of {
+ O > (trace "X" (([])));
+ S n' >
+ (trace "X" (case (trace "X" (l)) of {
+ ([]) > (trace "X" (([])));
+ (:) a b > (trace "X" ((:) (trace "X" (a)) (trace "X" ((trace "X" ((list_take (trace "X" (b)) (trace "X" (n')))))))))}))}))
+
+list_drop :: (([]) a1) > Nat > ([]) a1
+list_drop l n =
+ (trace "X" (case (trace "X" (n)) of {
+ O > (trace "X" (l));
+ S n' >
+ (trace "X" (case (trace "X" (l)) of {
+ ([]) > (trace "X" (([])));
+ (:) a b > (trace "X" ((trace "X" (list_drop (trace "X" (b)) (trace "X" (n'))))))}))}))
+
unleaves' :: (([]) a1) > Tree (Prelude.Maybe a1)
unleaves' l =
(trace "X" (case (trace "X" (l)) of {
@@ 611,6 +638,13 @@ ilist_chop' l1 l2 v =
INil > (trace "X" (false_rect));
ICons i is x x0 > (trace "X" ((trace "X" (eq_rect (trace "X" (a)) (trace "X" ((\_ > (trace "X" ((trace "X" (eq_rect (trace "X" ((trace "X" ((app (trace "X" (l3)) (trace "X" (l2))))))) (trace "X" ((\x1 x2 > (trace "X" (x2))))) (trace "X" (is))))))))) (trace "X" (i)) (trace "X" (__)) (trace "X" (x)) (trace "X" (x0))))))})))))))))) (trace "X" (l1)) (trace "X" (v))))))
+ilist_app :: (([]) a1) > (IList a1 a2) > (([]) a1) > (IList a1 a2) > IList a1 a2
+ilist_app l1 v1 =
+ (trace "X" ((trace "X" (list_rect (trace "X" ((\v2 l2 v3 > (trace "X" (v3))))) (trace "X" ((\a l2 iHl1 v2 l3 v3 >
+ (trace "X" (case (trace "X" (v2)) of {
+ INil > (trace "X" (false_rect));
+ ICons i is x x0 > (trace "X" ((trace "X" (eq_rect (trace "X" (a)) (trace "X" ((\_ > (trace "X" ((trace "X" (eq_rect (trace "X" (l2)) (trace "X" ((\x1 x2 > (trace "X" (ICons (trace "X" (a)) (trace "X" ((trace "X" ((app (trace "X" (l2)) (trace "X" (l3))))))) (trace "X" (x1)) (trace "X" ((trace "X" ((iHl1 (trace "X" (x2)) (trace "X" (l3)) (trace "X" (v3)))))))))))) (trace "X" (is))))))))) (trace "X" (i)) (trace "X" (__)) (trace "X" (x)) (trace "X" (x0))))))}))))) (trace "X" (l1)) (trace "X" (v1))))))
+
ilist_to_list :: (([]) a1) > (IList a1 a2) > ([]) a2
ilist_to_list l il =
(trace "X" (case (trace "X" (il)) of {
@@ 689,7 +723,7 @@ orErrorBindWithMessage oe f err_msg =
addErrorMessage :: Prelude.String > (OrError a1) > OrError a1
addErrorMessage s x =
 (trace "X" ((trace "X" (orErrorBindWithMessage (trace "X" (x)) (trace "X" ((\y > (trace "X" (OK (trace "X" (y))))))) (trace "X" (s))))))
+ (trace "X" ((trace "X" (orErrorBindWithMessage (trace "X" (x)) (trace "X" ((\y > (trace "X" (OK (trace "X" (y))))))) (trace "X" ((trace "X" ((concatenate (trace "X" (concatenableString)) (trace "X" ((trace "X" ((concatenate (trace "X" (concatenableString)) (trace "X" (eol)) (trace "X" (eol))))))) (trace "X" (s)))))))))))
eqDecidableNat :: EqDecidable Nat
eqDecidableNat v1 v2 =
@@ 1935,6 +1969,29 @@ weakV :: TypeEnv > Kind > Kind > HaskTyVar > (InstantiatedTypeEnv a1) > a1
weakV __U0393_0 __U03ba_ __U03ba_v cv' ite =
(trace "X" ((trace "X" (unsafeCoerce (trace "X" (cv')) (trace "X" (__)) (trace "X" ((trace "X" ((weakITE (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (ite)))))))))))
+weakT :: TypeEnv > Kind > Kind > HaskType > (InstantiatedTypeEnv a1) > RawHaskType a1
+weakT __U0393_0 __U03ba_ __U03ba___U2082_ lt ite =
+ (trace "X" ((trace "X" (unsafeCoerce (trace "X" (lt)) (trace "X" (__)) (trace "X" ((trace "X" ((weakITE (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (ite)))))))))))
+
+weakL :: TypeEnv > Kind > HaskLevel > HaskLevel
+weakL __U0393_0 __U03ba_ lt =
+ (trace "X" ((trace "X" (map (trace "X" ((\x _ > (trace "X" ((trace "X" (weakV (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (eCKind)) (trace "X" (x))))))))) (trace "X" (lt))))))
+
+weakCK :: TypeEnv > Kind > HaskCoercionKind > (InstantiatedTypeEnv a1) > RawCoercionKind a1
+weakCK __U0393_0 __U03ba_ hck x =
+ (trace "X" ((trace "X" (unsafeCoerce (trace "X" (hck)) (trace "X" (__))
+ (trace "X" ((case (trace "X" (x)) of {
+ INil > (trace "X" (false_rect));
+ ICons i is x0 x1 > (trace "X" ((trace "X" (eq_rect (trace "X" (__U03ba_)) (trace "X" ((\_ > (trace "X" ((trace "X" (eq_rect (trace "X" (__U0393_0)) (trace "X" ((\x2 x3 > (trace "X" (x3))))) (trace "X" (is))))))))) (trace "X" (i)) (trace "X" (__)) (trace "X" (x0)) (trace "X" (x1))))))})))))))
+
+weakITE' :: TypeEnv > (([]) Kind) > (InstantiatedTypeEnv a1) > InstantiatedTypeEnv a1
+weakITE' __U0393_0 __U03ba_ ite =
+ (trace "X" ((trace "X" (list_rect (trace "X" ((\ite0 > (trace "X" (ite0))))) (trace "X" ((\a __U03ba_0 iH__U03ba_ ite0 >
+ (trace "X" ((trace "X" (iH__U03ba_
+ (trace "X" ((case (trace "X" (ite0)) of {
+ INil > (trace "X" (false_rect));
+ ICons i is x x0 > (trace "X" ((trace "X" (eq_rect (trace "X" (a)) (trace "X" ((\_ > (trace "X" ((trace "X" (eq_rect (trace "X" ((trace "X" ((app (trace "X" (__U03ba_0)) (trace "X" (__U0393_0))))))) (trace "X" ((\x1 x2 > (trace "X" (x2))))) (trace "X" (is))))))))) (trace "X" (i)) (trace "X" (__)) (trace "X" (x)) (trace "X" (x0))))))})))))))))) (trace "X" (__U03ba_)) (trace "X" (ite))))))
+
weakV' :: TypeEnv > (([]) Kind) > Kind > HaskTyVar > (InstantiatedTypeEnv a1) > a1
weakV' __U0393_0 __U03ba_ __U03ba_v cv' env =
(trace "X" ((trace "X" (list_rect (trace "X" ((unsafeCoerce (trace "X" (cv'))))) (trace "X" ((\a __U03ba_0 iH__U03ba_ _ >
@@ 1946,14 +2003,6 @@ weakV' __U0393_0 __U03ba_ __U03ba_v cv' env =
(:) a0 l1 > (trace "X" ((:) (trace "X" (a0)) (trace "X" ((trace "X" ((app0 (trace "X" (l1)) (trace "X" (m)))))))))}))}
in app0 (trace "X" (__U03ba_0)) (trace "X" (__U0393_0))))))) (trace "X" (a)) (trace "X" (__U03ba_v)) (trace "X" ((unsafeCoerce (trace "X" (iH__U03ba_)))))))))))) (trace "X" (__U03ba_)) (trace "X" (__)) (trace "X" (env))))))
weakT :: TypeEnv > Kind > Kind > HaskType > (InstantiatedTypeEnv a1) > RawHaskType a1
weakT __U0393_0 __U03ba_ __U03ba___U2082_ lt ite =
 (trace "X" ((trace "X" (unsafeCoerce (trace "X" (lt)) (trace "X" (__)) (trace "X" ((trace "X" ((weakITE (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (ite)))))))))))

weakL :: TypeEnv > Kind > HaskLevel > HaskLevel
weakL __U0393_0 __U03ba_ lt =
 (trace "X" ((trace "X" (map (trace "X" ((\x _ > (trace "X" ((trace "X" (weakV (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (eCKind)) (trace "X" (x))))))))) (trace "X" (lt))))))

weakT' :: TypeEnv > (([]) Kind) > Kind > HaskType > (InstantiatedTypeEnv a1) > RawHaskType a1
weakT' __U0393_0 __U03ba_ __U03ba___U2082_ lt x =
(trace "X" ((trace "X" (list_rect (trace "X" ((unsafeCoerce (trace "X" (lt))))) (trace "X" ((\a __U03ba_0 iH__U03ba_ _ >
@@ 1969,10 +2018,6 @@ weakT'' :: TypeEnv > (([]) Kind) > Kind > HaskType > (InstantiatedTypeEnv a1
weakT'' __U0393_0 __U03ba_ __U03ba___U2082_ lt x =
(trace "X" (let {x0 = (trace "X" ((trace "X" (ilist_chop (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (x))))))} in (trace "X" ((trace "X" (unsafeCoerce (trace "X" (lt)) (trace "X" (__)) (trace "X" (x0))))))))
lamer :: (([]) Kind) > (([]) Kind) > (([]) Kind) > Kind > HaskType > (InstantiatedTypeEnv a1) > RawHaskType a1
lamer a b c __U03ba_ lt x =
 (trace "X" (let {lt0 = (trace "X" ((trace "X" (eq_rect_r (trace "X" ((trace "X" ((app (trace "X" ((trace "X" ((app (trace "X" (a)) (trace "X" (b))))))) (trace "X" (c))))))) (trace "X" (lt)) (trace "X" ((trace "X" ((app (trace "X" (a)) (trace "X" ((trace "X" ((app (trace "X" (b)) (trace "X" (c))))))))))))))))} in (trace "X" ((trace "X" (unsafeCoerce (trace "X" (lt0)) (trace "X" (__)) (trace "X" (x))))))))

weakL' :: TypeEnv > (([]) Kind) > HaskLevel > HaskLevel
weakL' __U0393_0 __U03ba_ lev =
(trace "X" ((trace "X" (list_rect (trace "X" (lev)) (trace "X" ((\a __U03ba_0 iH__U03ba_ >
@@ 1984,26 +2029,21 @@ weakL' __U0393_0 __U03ba_ lev =
(:) a0 l1 > (trace "X" ((:) (trace "X" (a0)) (trace "X" ((trace "X" ((app0 (trace "X" (l1)) (trace "X" (m)))))))))}))}
in app0 (trace "X" (__U03ba_0)) (trace "X" (__U0393_0))))))) (trace "X" (a)) (trace "X" (iH__U03ba_))))))))) (trace "X" (__U03ba_))))))
weakLT :: TypeEnv > Kind > Kind > LeveledHaskType > LeveledHaskType
weakLT __U0393_0 __U03ba_ __U03ba___U2082_ lt =
 (trace "X" (case (trace "X" (lt)) of {
 MkLeveledHaskType t l > (trace "X" (MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (weakT (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (__U03ba___U2082_)) (trace "X" (t))))))))) (trace "X" ((trace "X" ((weakL (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (l)))))))))}))

weakLT' :: TypeEnv > (([]) Kind) > Kind > LeveledHaskType > LeveledHaskType
weakLT' __U0393_0 __U03ba_ __U03ba___U2082_ lt =
(trace "X" (case (trace "X" (lt)) of {
MkLeveledHaskType t l > (trace "X" (MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (weakT' (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (__U03ba___U2082_)) (trace "X" (t))))))))) (trace "X" ((trace "X" ((weakL' (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (l)))))))))}))
weakICE :: TypeEnv > Kind > CoercionEnv > (InstantiatedCoercionEnv a1 a2) > InstantiatedCoercionEnv a1 a2
weakICE __U0393_0 __U03ba_ __U0394_0 ice =
 (trace "X" ((trace "X" (eq_rect_r (trace "X" ((trace "X" ((length (trace "X" ((trace "X" ((map (trace "X" ((\x _ ite > (trace "X" ((trace "X" (x (trace "X" (__)) (trace "X" ((trace "X" ((weakITE (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (ite)))))))))))))) (trace "X" (__U0394_0)))))))))))) (trace "X" (ice)) (trace "X" ((trace "X" ((length (trace "X" (__U0394_0)))))))))))

weakCK :: TypeEnv > Kind > HaskCoercionKind > (InstantiatedTypeEnv a1) > RawCoercionKind a1
weakCK __U0393_0 __U03ba_ hck x =
 (trace "X" ((trace "X" (unsafeCoerce (trace "X" (hck)) (trace "X" (__))
 (trace "X" ((case (trace "X" (x)) of {
 INil > (trace "X" (false_rect));
 ICons i is x0 x1 > (trace "X" ((trace "X" (eq_rect (trace "X" (__U03ba_)) (trace "X" ((\_ > (trace "X" ((trace "X" (eq_rect (trace "X" (__U0393_0)) (trace "X" ((\x2 x3 > (trace "X" (x3))))) (trace "X" (is))))))))) (trace "X" (i)) (trace "X" (__)) (trace "X" (x0)) (trace "X" (x1))))))})))))))
+weakCE' :: TypeEnv > (([]) Kind) > CoercionEnv > CoercionEnv
+weakCE' __U0393_0 __U03ba_ __U0394_0 =
+ (trace "X" ((trace "X" (list_rect (trace "X" (__U0394_0)) (trace "X" ((\a __U03ba_0 iH__U03ba_ >
+ (trace "X" ((trace "X" (weakCE
+ (trace "X" ((trace "X" ((let {
+ app0 l m =
+ (trace "X" (case (trace "X" (l)) of {
+ ([]) > (trace "X" (m));
+ (:) a0 l1 > (trace "X" ((:) (trace "X" (a0)) (trace "X" ((trace "X" ((app0 (trace "X" (l1)) (trace "X" (m)))))))))}))}
+ in app0 (trace "X" (__U03ba_0)) (trace "X" (__U0393_0))))))) (trace "X" (a)) (trace "X" (iH__U03ba_))))))))) (trace "X" (__U03ba_))))))
weakCK' :: TypeEnv > (([]) Kind) > HaskCoercionKind > (InstantiatedTypeEnv a1) > RawCoercionKind a1
weakCK' __U0393_0 __U03ba_ hck x =
@@ 2020,13 +2060,57 @@ weakCK'' :: TypeEnv > (([]) Kind) > (([]) HaskCoercionKind) > ([]) HaskCoerci
weakCK'' __U0393_0 __U03ba_ hck =
(trace "X" ((trace "X" (map (trace "X" ((\x _ > (trace "X" ((trace "X" (weakCK' (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (x))))))))) (trace "X" (hck))))))
weakCV :: TypeEnv > CoercionEnv > Kind > HaskCoVar > (InstantiatedTypeEnv a1) > (InstantiatedCoercionEnv a1 a2) > a2
weakCV __U0393_0 __U0394_0 __U03ba_ cv' ite ice =
 (trace "X" ((trace "X" (unsafeCoerce (trace "X" (cv')) (trace "X" (__)) (trace "X" (__)) (trace "X" ((trace "X" ((weakITE (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (ite))))))) (trace "X" ((trace "X" ((weakICE (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (__U0394_0)) (trace "X" (ice)))))))))))
+weakITE_ :: TypeEnv > Kind > Nat > (InstantiatedTypeEnv a1) > InstantiatedTypeEnv a1
+weakITE_ __U0393_0 __U03ba_ n ite =
+ (trace "X" (let {ite0 = (trace "X" ((trace "X" (eq_rect (trace "X" ((trace "X" ((list_ins (trace "X" (n)) (trace "X" (__U03ba_)) (trace "X" (__U0393_0))))))) (trace "X" (ite)) (trace "X" ((trace "X" ((app (trace "X" ((trace "X" ((list_take (trace "X" (__U0393_0)) (trace "X" (n))))))) (trace "X" (((:) (trace "X" (__U03ba_)) (trace "X" ((trace "X" ((list_drop (trace "X" (__U0393_0)) (trace "X" (n)))))))))))))))))))} in
+ (trace "X" (let {ite' = (trace "X" ((trace "X" (weakITE' (trace "X" (((:) (trace "X" (__U03ba_)) (trace "X" ((trace "X" ((list_drop (trace "X" (__U0393_0)) (trace "X" (n)))))))))) (trace "X" ((trace "X" ((list_take (trace "X" (__U0393_0)) (trace "X" (n))))))) (trace "X" (ite0))))))} in
+ (trace "X" (let {a = (trace "X" ((trace "X" (ilist_chop (trace "X" ((trace "X" ((list_take (trace "X" (__U0393_0)) (trace "X" (n))))))) (trace "X" (((:) (trace "X" (__U03ba_)) (trace "X" ((trace "X" ((list_drop (trace "X" (__U0393_0)) (trace "X" (n)))))))))) (trace "X" (ite0))))))} in
+ (trace "X" ((trace "X" (eq_rect (trace "X" ((trace "X" ((app (trace "X" ((trace "X" ((list_take (trace "X" (__U0393_0)) (trace "X" (n))))))) (trace "X" ((trace "X" ((list_drop (trace "X" (__U0393_0)) (trace "X" (n))))))))))))
+ (trace "X" ((trace "X" ((ilist_app (trace "X" ((trace "X" ((list_take (trace "X" (__U0393_0)) (trace "X" (n))))))) (trace "X" (a)) (trace "X" ((trace "X" ((list_drop (trace "X" (__U0393_0)) (trace "X" (n)))))))
+ (trace "X" ((case (trace "X" (ite')) of {
+ INil > (trace "X" (false_rect));
+ ICons i is x x0 > (trace "X" ((trace "X" (eq_rect (trace "X" (__U03ba_)) (trace "X" ((\_ > (trace "X" ((trace "X" (eq_rect (trace "X" ((trace "X" ((list_drop (trace "X" (__U0393_0)) (trace "X" (n))))))) (trace "X" ((\x1 x2 > (trace "X" (x2))))) (trace "X" (is))))))))) (trace "X" (i)) (trace "X" (__)) (trace "X" (x)) (trace "X" (x0))))))})))))))) (trace "X" (__U0393_0))))))))))))
+
+weakV_ :: TypeEnv > Kind > Nat > Kind > HaskTyVar > (InstantiatedTypeEnv a1) > a1
+weakV_ __U0393_0 __U03ba_ n __U03ba_v cv' env =
+ (trace "X" ((trace "X" (unsafeCoerce (trace "X" (cv')) (trace "X" (__)) (trace "X" ((trace "X" ((weakITE_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)) (trace "X" (env)))))))))))
+
+weakT_ :: TypeEnv > Kind > Nat > Kind > HaskType > (InstantiatedTypeEnv a1) > RawHaskType a1
+weakT_ __U0393_0 __U03ba_ n __U03ba___U2082_ lt x =
+ (trace "X" ((trace "X" (unsafeCoerce (trace "X" (lt)) (trace "X" (__)) (trace "X" ((trace "X" ((weakITE_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)) (trace "X" (x)))))))))))
+
+weakL_ :: TypeEnv > Kind > Nat > HaskLevel > HaskLevel
+weakL_ __U0393_0 __U03ba_ n lev =
+ (trace "X" ((trace "X" (map (trace "X" ((\x _ > (trace "X" ((trace "X" (weakV_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)) (trace "X" (eCKind)) (trace "X" (x))))))))) (trace "X" (lev))))))
+
+weakLT_ :: TypeEnv > Kind > Nat > Kind > LeveledHaskType > LeveledHaskType
+weakLT_ __U0393_0 __U03ba_ n __U03ba___U2082_ lt =
+ (trace "X" (case (trace "X" (lt)) of {
+ MkLeveledHaskType t l > (trace "X" (MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (weakT_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)) (trace "X" (__U03ba___U2082_)) (trace "X" (t))))))))) (trace "X" ((trace "X" ((weakL_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)) (trace "X" (l)))))))))}))
+
+weakCK_ :: TypeEnv > Kind > Nat > HaskCoercionKind > (InstantiatedTypeEnv a1) > RawCoercionKind a1
+weakCK_ __U0393_0 __U03ba_ n hck x =
+ (trace "X" ((trace "X" (unsafeCoerce (trace "X" (hck)) (trace "X" (__)) (trace "X" ((trace "X" ((weakITE_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)) (trace "X" (x)))))))))))
weakF :: TypeEnv > Kind > Kind > (() > (InstantiatedTypeEnv ()) > () > RawHaskType ()) > (InstantiatedTypeEnv a1) > a1 > RawHaskType a1
weakF __U0393_0 __U03ba_ __U03ba___U2082_ f ite tv =
 (trace "X" ((trace "X" (unsafeCoerce (trace "X" (f)) (trace "X" (__)) (trace "X" ((trace "X" ((weakITE (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (ite))))))) (trace "X" (tv))))))
+weakCE_ :: TypeEnv > Kind > Nat > CoercionEnv > CoercionEnv
+weakCE_ __U0393_0 __U03ba_ n __U0394_0 =
+ (trace "X" ((trace "X" (map (trace "X" ((\x _ > (trace "X" ((trace "X" (weakCK_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)) (trace "X" (x))))))))) (trace "X" (__U0394_0))))))
+
+weakF_ :: TypeEnv > Nat > Kind > Kind > (() > (InstantiatedTypeEnv ()) > () > RawHaskType ()) > (InstantiatedTypeEnv a1) > a1 > RawHaskType a1
+weakF_ __U0393_0 n __U03ba_ __U03ba___U2082_ f env x =
+ (trace "X" ((trace "X" (unsafeCoerce (trace "X" (f)) (trace "X" (__)) (trace "X" ((trace "X" ((weakITE_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)) (trace "X" (env))))))) (trace "X" (x))))))
+
+weakCV_ :: TypeEnv > CoercionEnv > Kind > Nat > HaskCoVar > (InstantiatedTypeEnv a1) > (InstantiatedCoercionEnv a1 a2) > a2
+weakCV_ __U0393_0 __U0394_0 __U03ba_ n cv' env cenv =
+ (trace "X" ((trace "X" (unsafeCoerce (trace "X" (cv')) (trace "X" (__)) (trace "X" (__)) (trace "X" ((trace "X" ((weakITE_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)) (trace "X" (env))))))) (trace "X" ((trace "X" ((eq_rect_r (trace "X" ((trace "X" ((length (trace "X" ((trace "X" ((weakCE_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)) (trace "X" (__U0394_0)))))))))))) (trace "X" (cenv)) (trace "X" ((trace "X" ((length (trace "X" (__U0394_0))))))))))))))))
+
+freshHaskTyVar_ :: (([]) Kind) > Kind > Nat > (InstantiatedTypeEnv a1) > a1
+freshHaskTyVar_ __U0393_0 __U03ba_ n env =
+ (trace "X" (let {env0 = (trace "X" ((trace "X" (eq_rect (trace "X" ((trace "X" ((list_ins (trace "X" (n)) (trace "X" (__U03ba_)) (trace "X" (__U0393_0))))))) (trace "X" (env)) (trace "X" ((trace "X" ((app (trace "X" ((trace "X" ((list_take (trace "X" (__U0393_0)) (trace "X" (n))))))) (trace "X" (((:) (trace "X" (__U03ba_)) (trace "X" ((trace "X" ((list_drop (trace "X" (__U0393_0)) (trace "X" (n)))))))))))))))))))} in
+ (trace "X" (let {env1 = (trace "X" ((trace "X" (weakITE' (trace "X" (((:) (trace "X" (__U03ba_)) (trace "X" ((trace "X" ((list_drop (trace "X" (__U0393_0)) (trace "X" (n)))))))))) (trace "X" ((trace "X" ((list_take (trace "X" (__U0393_0)) (trace "X" (n))))))) (trace "X" (env0))))))} in
+ (trace "X" (case (trace "X" (env1)) of {
+ INil > (trace "X" (false_rect));
+ ICons i is x x0 > (trace "X" ((trace "X" (eq_rect (trace "X" (__U03ba_)) (trace "X" ((\_ > (trace "X" ((trace "X" (eq_rect (trace "X" ((trace "X" ((list_drop (trace "X" (__U0393_0)) (trace "X" (n))))))) (trace "X" ((\x1 x2 > (trace "X" (x1))))) (trace "X" (is))))))))) (trace "X" (i)) (trace "X" (__)) (trace "X" (x)) (trace "X" (x0))))))}))))))
caseType0 :: TypeEnv > (([]) Kind) > (IList Kind HaskType) > HaskType > (InstantiatedTypeEnv a1) > RawHaskType a1
caseType0 __U0393_0 lk x x0 x1 =
@@ 2276,7 +2360,7 @@ data Expr vV =
 ETyApp TypeEnv CoercionEnv Kind (() > (InstantiatedTypeEnv ()) > () > RawHaskType ()) HaskType (vV > LeveledHaskType) HaskLevel (Expr vV)
 ECoLam TypeEnv (([]) HaskCoercionKind) Kind HaskType HaskType HaskType (vV > LeveledHaskType) HaskLevel (Expr vV)
 ECoApp TypeEnv CoercionEnv Kind HaskType HaskType (() > (InstantiatedTypeEnv ()) > RawHaskType ()) (vV > LeveledHaskType) HaskLevel (Expr vV)
  ETyLam (([]) Kind) CoercionEnv (vV > LeveledHaskType) Kind (() > (InstantiatedTypeEnv ()) > () > RawHaskType ()) HaskLevel (Expr vV)
+  ETyLam (([]) Kind) CoercionEnv (vV > LeveledHaskType) Kind (() > (InstantiatedTypeEnv ()) > () > RawHaskType ()) HaskLevel Nat (Expr vV)
 ECase TypeEnv CoercionEnv (vV > LeveledHaskType) HaskLevel TyCon.TyCon HaskType (IList Kind HaskType) (Expr vV) (Tree (Prelude.Maybe (SigT StrongAltCon (SigT (StrongCaseBranchWithVVs vV) (Expr vV)))))
 ELetRec TypeEnv CoercionEnv (vV > LeveledHaskType) HaskLevel HaskType (Tree (Prelude.Maybe ((,) vV HaskType))) (ELetRecBindings vV) (Expr vV)
data ELetRecBindings vV =
@@ 2287,17 +2371,9 @@ data ELetRecBindings vV =
data Judg =
MkJudg TypeEnv CoercionEnv (Tree (Prelude.Maybe LeveledHaskType)) (Tree (Prelude.Maybe HaskType)) HaskLevel
type ProofCaseBranch =
 Tree (Prelude.Maybe LeveledHaskType)
  singleton inductive, whose constructor was Build_ProofCaseBranch

pcb_freevars :: TyCon.TyCon > TypeEnv > (([]) HaskCoercionKind) > HaskLevel > HaskType > (IList Kind HaskType) > StrongAltCon > ProofCaseBranch > Tree (Prelude.Maybe LeveledHaskType)
pcb_freevars tc __U0393_0 __U0394_0 lev branchtype avars sac p =
 (trace "X" (p))

pcb_judg :: TyCon.TyCon > TypeEnv > (([]) HaskCoercionKind) > HaskLevel > HaskType > (IList Kind HaskType) > StrongAltCon > ProofCaseBranch > Judg
pcb_judg tc __U0393_0 __U0394_0 lev branchtype avars sac p =
 (trace "X" (MkJudg (trace "X" ((trace "X" ((sac_gamma (trace "X" (tc)) (trace "X" (sac)) (trace "X" (__U0393_0))))))) (trace "X" ((trace "X" ((sac_delta (trace "X" (tc)) (trace "X" (sac)) (trace "X" (__U0393_0)) (trace "X" (avars)) (trace "X" ((trace "X" ((map (trace "X" ((\x _ > (trace "X" ((trace "X" (weakCK' (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExTyVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac))))))) (trace "X" ((trace "X" ((sac_ekinds (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac)))))))))))) (trace "X" (x))))))))) (trace "X" (__U0394_0)))))))))))) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((weakLT' (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExTyVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac))))))) (trace "X" ((trace "X" ((sac_ekinds (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac)))))))))))) (trace "X" (KindStar))))))) (trace "X" ((trace "X" ((pcb_freevars (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (lev)) (trace "X" (branchtype)) (trace "X" (avars)) (trace "X" (sac)) (trace "X" (p)))))))))))) (trace "X" ((trace "X" ((unleaves (trace "X" ((trace "X" ((map (trace "X" ((\t > (trace "X" (MkLeveledHaskType (trace "X" (t)) (trace "X" ((trace "X" ((weakL' (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExTyVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac))))))) (trace "X" ((trace "X" ((sac_ekinds (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac)))))))))))) (trace "X" (lev)))))))))))) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExprVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac))))))) (trace "X" ((trace "X" ((sac_types (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac)) (trace "X" (__U0393_0)) (trace "X" (avars))))))))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((\_ > (trace "X" ((trace "X" (weakT' (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExTyVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac))))))) (trace "X" ((trace "X" ((sac_ekinds (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac)))))))))))) (trace "X" (KindStar)) (trace "X" (branchtype))))))))))))))) (trace "X" ((trace "X" ((weakL' (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExTyVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac))))))) (trace "X" ((trace "X" ((sac_ekinds (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac)))))))))))) (trace "X" (lev)))))))))
+pcb_judg :: TyCon.TyCon > TypeEnv > (([]) HaskCoercionKind) > HaskLevel > HaskType > (IList Kind HaskType) > StrongAltCon > (Tree (Prelude.Maybe LeveledHaskType)) > Judg
+pcb_judg tc __U0393_0 __U0394_0 lev branchtype avars sac pcb_freevars =
+ (trace "X" (MkJudg (trace "X" ((trace "X" ((sac_gamma (trace "X" (tc)) (trace "X" (sac)) (trace "X" (__U0393_0))))))) (trace "X" ((trace "X" ((sac_delta (trace "X" (tc)) (trace "X" (sac)) (trace "X" (__U0393_0)) (trace "X" (avars)) (trace "X" ((trace "X" ((map (trace "X" ((\x _ > (trace "X" ((trace "X" (weakCK' (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExTyVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac))))))) (trace "X" ((trace "X" ((sac_ekinds (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac)))))))))))) (trace "X" (x))))))))) (trace "X" (__U0394_0)))))))))))) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((weakLT' (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExTyVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac))))))) (trace "X" ((trace "X" ((sac_ekinds (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac)))))))))))) (trace "X" (KindStar))))))) (trace "X" (pcb_freevars))))))) (trace "X" ((trace "X" ((unleaves (trace "X" ((trace "X" ((map (trace "X" ((\t > (trace "X" (MkLeveledHaskType (trace "X" (t)) (trace "X" ((trace "X" ((weakL' (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExTyVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac))))))) (trace "X" ((trace "X" ((sac_ekinds (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac)))))))))))) (trace "X" (lev)))))))))))) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExprVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac))))))) (trace "X" ((trace "X" ((sac_types (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac)) (trace "X" (__U0393_0)) (trace "X" (avars))))))))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((\_ > (trace "X" ((trace "X" (weakT' (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExTyVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac))))))) (trace "X" ((trace "X" ((sac_ekinds (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac)))))))))))) (trace "X" (KindStar)) (trace "X" (branchtype))))))))))))))) (trace "X" ((trace "X" ((weakL' (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExTyVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac))))))) (trace "X" ((trace "X" ((sac_ekinds (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac)))))))))))) (trace "X" (lev)))))))))
data Rule =
RArrange TypeEnv CoercionEnv (Tree (Prelude.Maybe LeveledHaskType)) (Tree (Prelude.Maybe LeveledHaskType)) (Tree (Prelude.Maybe HaskType)) HaskLevel (Arrange LeveledHaskType)
@@ 2315,11 +2391,11 @@ data Rule =
 RRight TypeEnv CoercionEnv (Tree (Prelude.Maybe LeveledHaskType)) (Tree (Prelude.Maybe HaskType)) (Tree (Prelude.Maybe HaskType)) HaskLevel
 RVoid TypeEnv CoercionEnv HaskLevel
 RAppT TypeEnv CoercionEnv (Tree (Prelude.Maybe LeveledHaskType)) Kind (() > (InstantiatedTypeEnv ()) > () > RawHaskType ()) HaskType HaskLevel
  RAbsT (([]) Kind) CoercionEnv (Tree (Prelude.Maybe LeveledHaskType)) Kind (() > (InstantiatedTypeEnv ()) > () > RawHaskType ()) HaskLevel
+  RAbsT (([]) Kind) CoercionEnv (Tree (Prelude.Maybe LeveledHaskType)) Kind (() > (InstantiatedTypeEnv ()) > () > RawHaskType ()) HaskLevel Nat
 RAppCo TypeEnv CoercionEnv (Tree (Prelude.Maybe LeveledHaskType)) Kind HaskType HaskType (() > (InstantiatedTypeEnv ()) > RawHaskType ()) HaskLevel
 RAbsCo TypeEnv (([]) HaskCoercionKind) (Tree (Prelude.Maybe LeveledHaskType)) Kind HaskType HaskType HaskType HaskLevel
 RLetRec TypeEnv CoercionEnv (Tree (Prelude.Maybe LeveledHaskType)) HaskType (Tree (Prelude.Maybe HaskType)) HaskLevel
  RCase TypeEnv (([]) HaskCoercionKind) HaskLevel TyCon.TyCon (Tree (Prelude.Maybe LeveledHaskType)) (IList Kind HaskType) HaskType (Tree (Prelude.Maybe (SigT StrongAltCon ProofCaseBranch)))
+  RCase TypeEnv (([]) HaskCoercionKind) HaskLevel TyCon.TyCon (Tree (Prelude.Maybe LeveledHaskType)) (IList Kind HaskType) HaskType (Tree (Prelude.Maybe ((,) StrongAltCon (Tree (Prelude.Maybe LeveledHaskType)))))
rCut' :: TypeEnv > CoercionEnv > (Tree (Prelude.Maybe LeveledHaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe LeveledHaskType)) > (Tree (Prelude.Maybe HaskType)) > HaskLevel > ND Judg Rule
rCut' __U0393_0 __U0394_0 __U03a3___U2081_ __U03a3___U2081___U2082_ __U03a3___U2082_ __U03a3___U2083_ l =
@@ 2438,6 +2514,10 @@ type TyVarResolver = WeakTypeVar0 > OrError HaskTyVar
type CoVarResolver = WeakCoerVar0 > OrError HaskCoVar
+lamer :: (([]) Kind) > (([]) Kind) > (([]) Kind) > Kind > HaskType > (InstantiatedTypeEnv a1) > RawHaskType a1
+lamer a b c __U03ba_ lt x =
+ (trace "X" (let {lt0 = (trace "X" ((trace "X" (eq_rect_r (trace "X" ((trace "X" ((app (trace "X" ((trace "X" ((app (trace "X" (a)) (trace "X" (b))))))) (trace "X" (c))))))) (trace "X" (lt)) (trace "X" ((trace "X" ((app (trace "X" (a)) (trace "X" ((trace "X" ((app (trace "X" (b)) (trace "X" (c))))))))))))))))} in (trace "X" ((trace "X" (unsafeCoerce (trace "X" (lt0)) (trace "X" (__)) (trace "X" (x))))))))
+
upPhi :: TypeEnv > WeakTypeVar0 > TyVarResolver > TyVarResolver
upPhi __U0393_0 tv __U03c6_0 tv' =
(trace "X" (case (trace "X" ((trace "X" (eqd_dec (trace "X" (weakTypeVarEqDecidable)) (trace "X" (tv)) (trace "X" (tv')))))) of {
@@ 2886,7 +2966,7 @@ weakExprToStrongExpr __U0393_0 __U0394_0 __U03c6_0 __U03c8_0 __U03be_0 ig __U03c
HaskTypeOfSomeKind __U03ba_ t1'' > (trace "X" ((trace "X" (orErrorBind (trace "X" ((trace "X" ((weakTypeToTypeOfKind (trace "X" (__U0393_0)) (trace "X" (__U03c6_0)) (trace "X" (t2)) (trace "X" (__U03ba_))))))) (trace "X" ((\t2'' > (trace "X" ((trace "X" (orErrorBind (trace "X" ((trace "X" ((weakTypeToTypeOfKind (trace "X" (__U0393_0)) (trace "X" (__U03c6_0)) (trace "X" (t3)) (trace "X" (KindStar))))))) (trace "X" ((\t3'' > (trace "X" ((trace "X" (orErrorBind (trace "X" ((trace "X" ((weakExprToStrongExpr (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03c6_0)) (trace "X" (__U03c8_0)) (trace "X" (__U03be_0)) (trace "X" (ig)) (trace "X" ((\_ env > (trace "X" (TCoerc (trace "X" (__U03ba_)) (trace "X" ((trace "X" ((t1'' (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((t2'' (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((__U03c4_ (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (lev)) (trace "X" (e))))))) (trace "X" ((\e' > (trace "X" ((trace "X" (orErrorBind (trace "X" ((trace "X" ((castExpr (trace "X" (we)) (trace "X" (((:) (trace "X" ('W')) (trace "X" (((:) (trace "X" ('E')) (trace "X" (((:) (trace "X" ('C')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('A')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('p')) (trace "X" ([]))))))))))))))))))))))) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((\_ env > (trace "X" (TCoerc (trace "X" (__U03ba_)) (trace "X" ((trace "X" ((t1'' (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((t2'' (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((__U03c4_ (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (lev)) (trace "X" ((\_ env > (trace "X" (TCoerc (trace "X" (__U03ba_)) (trace "X" ((trace "X" ((t1'' (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((t2'' (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((__U03c4_ (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (lev)) (trace "X" (e'))))))) (trace "X" ((\e'' > (trace "X" (OK (trace "X" ((ECoApp (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03ba_)) (trace "X" (t1'')) (trace "X" (t2'')) (trace "X" (__U03c4_)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" (e'')))))))))))))))))))))))))))))))))))})))))))));
_ > (trace "X" (Error (trace "X" ((trace "X" ((concatenate (trace "X" (concatenableString)) (trace "X" (((:) (trace "X" ('w')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" ('k')) (trace "X" (((:) (trace "X" ('T')) (trace "X" (((:) (trace "X" ('y')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('T')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('T')) (trace "X" (((:) (trace "X" ('y')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" (':')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('W')) (trace "X" (((:) (trace "X" ('E')) (trace "X" (((:) (trace "X" ('C')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('A')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('b')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('d')) (trace "X" (((:) (trace "X" ('y')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('w')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('h')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('y')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" (' ')) (trace "X" ([]))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (trace "X" ((trace "X" ((toString (trace "X" (weakTypeToString)) (trace "X" (te))))))))))))))})))))))));
WELam ev ebody > (trace "X" ((trace "X" (orErrorBind (trace "X" ((trace "X" ((weakTypeToTypeOfKind (trace "X" (__U0393_0)) (trace "X" (__U03c6_0)) (trace "X" ((trace "X" ((weakExprVarToWeakType (trace "X" (ev))))))) (trace "X" (KindStar))))))) (trace "X" ((\tv > (trace "X" ((trace "X" (orErrorBind (trace "X" ((trace "X" ((weakTypeOfWeakExpr (trace "X" (ebody))))))) (trace "X" ((\tbody > (trace "X" ((trace "X" (orErrorBind (trace "X" ((trace "X" ((weakTypeToTypeOfKind (trace "X" (__U0393_0)) (trace "X" (__U03c6_0)) (trace "X" (tbody)) (trace "X" (KindStar))))))) (trace "X" ((\tbody' > (trace "X" (let {__U03be_' = (trace "X" ((trace "X" (update_xi (trace "X" (coreVarEqDecidable)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" (((:) (trace "X" (((,) (trace "X" ((trace "X" ((weakVarToCoreVar (trace "X" ((WExprVar (trace "X" (ev)))))))))) (trace "X" (tv))))) (trace "X" (([]))))))))))} in (trace "X" (let {ig' = (trace "X" ((trace "X" (update_ig (trace "X" (ig)) (trace "X" (((:) (trace "X" ((trace "X" ((weakVarToCoreVar (trace "X" ((WExprVar (trace "X" (ev)))))))))) (trace "X" (([]))))))))))} in (trace "X" ((trace "X" (orErrorBind (trace "X" ((trace "X" ((weakExprToStrongExpr (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03c6_0)) (trace "X" (__U03c8_0)) (trace "X" (__U03be_')) (trace "X" (ig')) (trace "X" (tbody')) (trace "X" (lev)) (trace "X" (ebody))))))) (trace "X" ((\ebody' > (trace "X" ((trace "X" (castExpr (trace "X" (we)) (trace "X" (((:) (trace "X" ('W')) (trace "X" (((:) (trace "X" ('E')) (trace "X" (((:) (trace "X" ('L')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" ('m')) (trace "X" ([]))))))))))))))))) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((\_ env > (trace "X" (TApp (trace "X" (KindStar)) (trace "X" (KindStar)) (trace "X" ((TApp (trace "X" ((KindArrow (trace "X" (KindStar)) (trace "X" (KindStar))))) (trace "X" (KindStar)) (trace "X" (TArrow)) (trace "X" ((trace "X" ((tv (trace "X" (__)) (trace "X" (env)))))))))) (trace "X" ((trace "X" ((tbody' (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (lev)) (trace "X" (__U03c4_)) (trace "X" (lev)) (trace "X" ((ELam (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (tv)) (trace "X" (tbody')) (trace "X" (lev)) (trace "X" ((trace "X" ((weakVarToCoreVar (trace "X" ((WExprVar (trace "X" (ev)))))))))) (trace "X" (ebody')))))))))))))))))))))))))))))))))))))))));
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+ WETyLam tv e > (trace "X" (let {__U03c6_2 = (trace "X" ((trace "X" (upPhi (trace "X" (__U0393_0)) (trace "X" (tv)) (trace "X" (__U03c6_0))))))} in (trace "X" ((trace "X" (orErrorBind (trace "X" ((trace "X" ((weakTypeOfWeakExpr (trace "X" (e))))))) (trace "X" ((\te > (trace "X" ((trace "X" (orErrorBind (trace "X" ((trace "X" ((weakTypeToTypeOfKind (trace "X" (((:) (trace "X" ((trace "X" ((weakTypeVarToKind (trace "X" (tv))))))) (trace "X" (__U0393_0))))) (trace "X" (__U03c6_2)) (trace "X" (te)) (trace "X" (KindStar))))))) (trace "X" ((\__U03c4_' > (trace "X" ((trace "X" (orErrorBind (trace "X" ((trace "X" ((weakExprToStrongExpr (trace "X" ((trace "X" ((list_ins (trace "X" (O)) (trace "X" ((trace "X" ((weakTypeVarToKind (trace "X" (tv))))))) (trace "X" (__U0393_0))))))) (trace "X" ((trace "X" ((weakCE_ (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((weakTypeVarToKind (trace "X" (tv))))))) (trace "X" (O)) (trace "X" (__U0394_0))))))) (trace "X" (__U03c6_2)) (trace "X" ((\x > (trace "X" ((trace "X" (orErrorBind (trace "X" ((trace "X" ((__U03c8_0 (trace "X" (x))))))) (trace "X" ((\y > (trace "X" (OK (trace "X" ((\_ _ > (trace "X" ((trace "X" (weakCV_ (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((weakTypeVarToKind (trace "X" (tv))))))) (trace "X" (O)) (trace "X" (y))))))))))))))))))))) (trace "X" ((\x > (trace "X" ((trace "X" (weakLT_ (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((weakTypeVarToKind (trace "X" (tv))))))) (trace "X" (O)) (trace "X" (KindStar)) (trace "X" ((trace "X" ((__U03be_0 (trace "X" (x)))))))))))))) (trace "X" (ig)) (trace "X" ((\_ > (trace "X" ((trace "X" (haskTApp (trace "X" ((trace "X" ((list_ins (trace "X" (O)) (trace "X" ((trace "X" ((weakTypeVarToKind (trace "X" (tv))))))) (trace "X" (__U0393_0))))))) (trace "X" ((trace "X" ((weakTypeVarToKind (trace "X" (tv))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (weakF_ (trace "X" (__U0393_0)) (trace "X" (O)) (trace "X" ((trace "X" ((weakTypeVarToKind (trace "X" (tv))))))) (trace "X" (KindStar)) (trace "X" ((\_ > (trace "X" ((trace "X" (mkTAll' (trace "X" ((trace "X" ((weakTypeVarToKind (trace "X" (tv))))))) (trace "X" (__U0393_0)) (trace "X" (__U03c4_')))))))))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (freshHaskTyVar_ (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((weakTypeVarToKind (trace "X" (tv))))))) (trace "X" (O)))))))))))))))) (trace "X" ((trace "X" ((weakL_ (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((weakTypeVarToKind (trace "X" (tv))))))) (trace "X" (O)) (trace "X" (lev))))))) (trace "X" (e))))))) (trace "X" ((\e' > (trace "X" ((trace "X" (castExpr (trace "X" (we)) (trace "X" (((:) (trace "X" ('W')) (trace "X" (((:) (trace "X" ('E')) (trace "X" (((:) (trace "X" ('T')) (trace "X" (((:) (trace "X" ('y')) (trace "X" (((:) (trace "X" ('L')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" ('m')) (trace "X" (((:) (trace "X" ('2')) (trace "X" ([])))))))))))))))))))))))))) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((\_ > (trace "X" ((trace "X" (haskTAll (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((weakTypeVarToKind (trace "X" (tv))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (mkTAll' (trace "X" ((trace "X" ((weakTypeVarToKind (trace "X" (tv))))))) (trace "X" (__U0393_0)) (trace "X" (__U03c4_')))))))))))))))) (trace "X" (lev)) (trace "X" (__U03c4_)) (trace "X" (lev)) (trace "X" ((ETyLam (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((weakTypeVarToKind (trace "X" (tv))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (mkTAll' (trace "X" ((trace "X" ((weakTypeVarToKind (trace "X" (tv))))))) (trace "X" (__U0393_0)) (trace "X" (__U03c4_'))))))))) (trace "X" (lev)) (trace "X" (O)) (trace "X" (e'))))))))))))))))))))))))))))))));
WECoLam cv e > (trace "X" (case (trace "X" (cv)) of {
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WEBrak w ec e tbody > (trace "X" ((trace "X" (orErrorBind (trace "X" ((trace "X" ((__U03c6_0 (trace "X" ((trace "X" ((fixkind (trace "X" (eCKind)) (trace "X" (ec)))))))))))) (trace "X" ((\ec' > (trace "X" ((trace "X" (orErrorBind (trace "X" ((trace "X" ((weakTypeToTypeOfKind (trace "X" (__U0393_0)) (trace "X" (__U03c6_0)) (trace "X" (tbody)) (trace "X" (KindStar))))))) (trace "X" ((\tbody' > (trace "X" ((trace "X" (orErrorBind (trace "X" ((trace "X" ((weakExprToStrongExpr (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03c6_0)) (trace "X" (__U03c8_0)) (trace "X" (__U03be_0)) (trace "X" (ig)) (trace "X" (tbody')) (trace "X" (((:) (trace "X" (ec')) (trace "X" (lev))))) (trace "X" (e))))))) (trace "X" ((\e' > (trace "X" ((trace "X" (castExpr (trace "X" (we)) (trace "X" (((:) (trace "X" ('W')) (trace "X" (((:) (trace "X" ('E')) (trace "X" (((:) (trace "X" ('B')) (trace "X" (((:) (trace "X" ('r')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" ('k')) (trace "X" ([])))))))))))))))))))) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((\_ > (trace "X" ((trace "X" (haskBrak (trace "X" (__U0393_0)) (trace "X" (ec')) (trace "X" (tbody'))))))))) (trace "X" (lev)) (trace "X" (__U03c4_)) (trace "X" (lev)) (trace "X" ((EBrak (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (ec')) (trace "X" (tbody')) (trace "X" (lev)) (trace "X" (e'))))))))))))))))))))))))))))));
@@ 2969,7 +3049,7 @@ expr2antecedent eqd_vv =
ETyApp __U0393_0 __U0394_0 __U03ba_ __U03c3_ __U03c4_ __U03be_0 l e > (trace "X" ((trace "X" (expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((\_ > (trace "X" ((trace "X" (haskTAll (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c3_))))))))) (trace "X" (l)) (trace "X" (e))))));
ECoLam __U0393_0 __U0394_0 __U03ba_ __U03c3_ __U03c3___U2081_ __U03c3___U2082_ __U03be_0 l e > (trace "X" ((trace "X" (expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" ((\_ > (trace "X" ((trace "X" (mkHaskCoercionKind (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c3___U2081_)) (trace "X" (__U03c3___U2082_))))))))) (trace "X" (__U0394_0))))) (trace "X" (__U03be_0)) (trace "X" (__U03c3_)) (trace "X" (l)) (trace "X" (e))))));
ECoApp __U0393_0 __U0394_0 __U03ba_ __U03b3_ __U03c3___U2081_ __U03c3_ __U03be_0 l e > (trace "X" ((trace "X" (expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((\_ env > (trace "X" (TCoerc (trace "X" (__U03ba_)) (trace "X" ((trace "X" ((__U03b3_ (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((__U03c3___U2081_ (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((__U03c3_ (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (l)) (trace "X" (e))))));
 ETyLam __U0393_0 __U0394_0 __U03be_0 __U03ba_ __U03c3_ l e > (trace "X" ((trace "X" (expr2antecedent0 (trace "X" (((:) (trace "X" (__U03ba_)) (trace "X" (__U0393_0))))) (trace "X" ((trace "X" ((weakCE (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (__U0394_0))))))) (trace "X" ((\x > (trace "X" ((trace "X" (weakLT (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (KindStar)) (trace "X" ((trace "X" ((__U03be_0 (trace "X" (x)))))))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (haskTApp (trace "X" (((:) (trace "X" (__U03ba_)) (trace "X" (__U0393_0))))) (trace "X" (__U03ba_)) (trace "X" ((\_ > (trace "X" ((trace "X" (weakF (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (KindStar)) (trace "X" (__U03c3_))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (freshHaskTyVar (trace "X" (__U0393_0)) (trace "X" (__U03ba_)))))))))))))))) (trace "X" ((trace "X" ((weakL (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (l))))))) (trace "X" (e))))));
+ ETyLam __U0393_0 __U0394_0 __U03be_0 __U03ba_ __U03c3_ l n e > (trace "X" ((trace "X" (expr2antecedent0 (trace "X" ((trace "X" ((list_ins (trace "X" (n)) (trace "X" (__U03ba_)) (trace "X" (__U0393_0))))))) (trace "X" ((trace "X" ((weakCE_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)) (trace "X" (__U0394_0))))))) (trace "X" ((\x > (trace "X" ((trace "X" (weakLT_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)) (trace "X" (KindStar)) (trace "X" ((trace "X" ((__U03be_0 (trace "X" (x)))))))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (haskTApp (trace "X" ((trace "X" ((list_ins (trace "X" (n)) (trace "X" (__U03ba_)) (trace "X" (__U0393_0))))))) (trace "X" (__U03ba_)) (trace "X" ((\_ > (trace "X" ((trace "X" (weakF_ (trace "X" (__U0393_0)) (trace "X" (n)) (trace "X" (__U03ba_)) (trace "X" (KindStar)) (trace "X" (__U03c3_))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (freshHaskTyVar_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)))))))))))))))) (trace "X" ((trace "X" ((weakL_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)) (trace "X" (l))))))) (trace "X" (e))))));
ECase __U0393_0 __U0394_0 __U03be_0 l tc tbranches atypes e' alts > (trace "X" (T_Branch
(trace "X" ((trace "X" ((let {
varsfromalts alts0 =
@@ 3007,7 +3087,7 @@ eLetRecContext eqd_vv =
ETyApp __U0393_0 __U0394_0 __U03ba_ __U03c3_ __U03c4_ __U03be_0 l e > (trace "X" ((trace "X" (expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((\_ > (trace "X" ((trace "X" (haskTAll (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c3_))))))))) (trace "X" (l)) (trace "X" (e))))));
ECoLam __U0393_0 __U0394_0 __U03ba_ __U03c3_ __U03c3___U2081_ __U03c3___U2082_ __U03be_0 l e > (trace "X" ((trace "X" (expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" ((\_ > (trace "X" ((trace "X" (mkHaskCoercionKind (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c3___U2081_)) (trace "X" (__U03c3___U2082_))))))))) (trace "X" (__U0394_0))))) (trace "X" (__U03be_0)) (trace "X" (__U03c3_)) (trace "X" (l)) (trace "X" (e))))));
ECoApp __U0393_0 __U0394_0 __U03ba_ __U03b3_ __U03c3___U2081_ __U03c3_ __U03be_0 l e > (trace "X" ((trace "X" (expr2antecedent0 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" ((\_ env > (trace "X" (TCoerc (trace "X" (__U03ba_)) (trace "X" ((trace "X" ((__U03b3_ (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((__U03c3___U2081_ (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((__U03c3_ (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (l)) (trace "X" (e))))));
 ETyLam __U0393_0 __U0394_0 __U03be_0 __U03ba_ __U03c3_ l e > (trace "X" ((trace "X" (expr2antecedent0 (trace "X" (((:) (trace "X" (__U03ba_)) (trace "X" (__U0393_0))))) (trace "X" ((trace "X" ((weakCE (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (__U0394_0))))))) (trace "X" ((\x > (trace "X" ((trace "X" (weakLT (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (KindStar)) (trace "X" ((trace "X" ((__U03be_0 (trace "X" (x)))))))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (haskTApp (trace "X" (((:) (trace "X" (__U03ba_)) (trace "X" (__U0393_0))))) (trace "X" (__U03ba_)) (trace "X" ((\_ > (trace "X" ((trace "X" (weakF (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (KindStar)) (trace "X" (__U03c3_))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (freshHaskTyVar (trace "X" (__U0393_0)) (trace "X" (__U03ba_)))))))))))))))) (trace "X" ((trace "X" ((weakL (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (l))))))) (trace "X" (e))))));
+ ETyLam __U0393_0 __U0394_0 __U03be_0 __U03ba_ __U03c3_ l n e > (trace "X" ((trace "X" (expr2antecedent0 (trace "X" ((trace "X" ((list_ins (trace "X" (n)) (trace "X" (__U03ba_)) (trace "X" (__U0393_0))))))) (trace "X" ((trace "X" ((weakCE_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)) (trace "X" (__U0394_0))))))) (trace "X" ((\x > (trace "X" ((trace "X" (weakLT_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)) (trace "X" (KindStar)) (trace "X" ((trace "X" ((__U03be_0 (trace "X" (x)))))))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (haskTApp (trace "X" ((trace "X" ((list_ins (trace "X" (n)) (trace "X" (__U03ba_)) (trace "X" (__U0393_0))))))) (trace "X" (__U03ba_)) (trace "X" ((\_ > (trace "X" ((trace "X" (weakF_ (trace "X" (__U0393_0)) (trace "X" (n)) (trace "X" (__U03ba_)) (trace "X" (KindStar)) (trace "X" (__U03c3_))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (freshHaskTyVar_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)))))))))))))))) (trace "X" ((trace "X" ((weakL_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)) (trace "X" (l))))))) (trace "X" (e))))));
ECase __U0393_0 __U0394_0 __U03be_0 l tc tbranches atypes e' alts > (trace "X" (T_Branch
(trace "X" ((trace "X" ((let {
varsfromalts alts0 =
@@ 3026,11 +3106,6 @@ eLetRecContext eqd_vv =
ELR_branch __U0393_1 __U0394_1 __U03be_1 lev0 t1 t2 b1 b2 > (trace "X" (T_Branch (trace "X" ((trace "X" ((eLetRecContext0 (trace "X" (__U0393_1)) (trace "X" (__U0394_1)) (trace "X" (__U03be_1)) (trace "X" (lev0)) (trace "X" (t1)) (trace "X" (b1))))))) (trace "X" ((trace "X" ((eLetRecContext0 (trace "X" (__U0393_1)) (trace "X" (__U0394_1)) (trace "X" (__U03be_1)) (trace "X" (lev0)) (trace "X" (t2)) (trace "X" (b2)))))))))}))}
in eLetRecContext0))
mkProofCaseBranch :: (EqDecidable a1) > (([]) Kind) > (([]) HaskCoercionKind) > (a1 > LeveledHaskType) > HaskLevel > TyCon.TyCon > HaskType > (IList Kind HaskType) > (SigT StrongAltCon (SigT (StrongCaseBranchWithVVs a1) (Expr a1))) > SigT StrongAltCon ProofCaseBranch
mkProofCaseBranch eqd_vv __U0393_0 __U0394_0 __U03be_0 l tc tbranches atypes alt =
 (trace "X" (case (trace "X" (alt)) of {
 ExistT x s > (trace "X" (ExistT (trace "X" (x)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExprVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (x))))))) (trace "X" ((trace "X" ((scbwv_exprvars (trace "X" (eqd_vv)) (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (atypes)) (trace "X" (x)) (trace "X" ((trace "X" ((projT1 (trace "X" (s))))))))))))))))) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((sac_gamma (trace "X" (tc)) (trace "X" (x)) (trace "X" (__U0393_0))))))) (trace "X" ((trace "X" ((sac_delta (trace "X" (tc)) (trace "X" (x)) (trace "X" (__U0393_0)) (trace "X" (atypes)) (trace "X" ((trace "X" ((weakCK'' (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExTyVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (x))))))) (trace "X" ((trace "X" ((sac_ekinds (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (x)))))))))))) (trace "X" (__U0394_0)))))))))))) (trace "X" ((trace "X" ((scbwv_xi (trace "X" (eqd_vv)) (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (atypes)) (trace "X" (x)) (trace "X" ((trace "X" ((projT1 (trace "X" (s))))))) (trace "X" (__U03be_0)) (trace "X" (l))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (weakT' (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExTyVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (x))))))) (trace "X" ((trace "X" ((sac_ekinds (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (x)))))))))))) (trace "X" (KindStar)) (trace "X" (tbranches))))))))) (trace "X" ((trace "X" ((weakL' (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExTyVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (x))))))) (trace "X" ((trace "X" ((sac_ekinds (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (x)))))))))))) (trace "X" (l))))))) (trace "X" ((trace "X" ((projT2 (trace "X" (s))))))))))))))))))))))))}))

factorContextLeft :: (EqDecidable a1) > TypeEnv > CoercionEnv > a1 > (Tree (Prelude.Maybe a1)) > (a1 > LeveledHaskType) > Prelude.Either (Arrange LeveledHaskType) (Arrange LeveledHaskType)
factorContextLeft eqd_vv __U0393_0 __U0394_0 v ctx __U03be_0 =
(trace "X" ((trace "X" (tree_rect (trace "X" ((\a >
@@ 3557,6 +3632,11 @@ letRecSubproofsToND' :: (EqDecidable a1) > TypeEnv > CoercionEnv > (a1 > Lev
letRecSubproofsToND' eqd_vv __U0393_0 __U0394_0 __U03be_0 lev __U03c4_ tree branches body pf lrsp =
(trace "X" (let {__U03be_' = (trace "X" ((trace "X" (update_xi (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" ((trace "X" ((leaves (trace "X" (tree)))))))))))} in (trace "X" (let {pctx = (trace "X" ((trace "X" (mapOptionTree (trace "X" (fst)) (trace "X" (tree))))))} in (trace "X" (let {z = (trace "X" (\a b x > (trace "X" (RLetRec (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (a)) (trace "X" (b)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (snd)) (trace "X" (tree))))))) (trace "X" (x))))))} in (trace "X" (Nd_comp (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' > (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (lev))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (snd)) (trace "X" (tree)))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (__U03c4_)) (trace "X" (lev)) (trace "X" ((ELetRec (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" (__U03c4_)) (trace "X" (tree)) (trace "X" (branches)) (trace "X" (body)))))))))))))))))) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (snd)) (trace "X" (tree))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (__U03c4_))))))))))) (trace "X" (lev))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (__U03c4_)) (trace "X" (lev)) (trace "X" ((ELetRec (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" (__U03c4_)) (trace "X" (tree)) (trace "X" (branches)) (trace "X" (body))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (__U03c4_)))))))) (trace "X" (lev))))))))))) (trace "X" ((let {q' = (trace "X" (\_ > (trace "X" ((trace "X" (factorContextLeftAndWeaken'' (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (pctx)) (trace "X" (__U03be_')) (trace "X" ((T_Branch (trace "X" ((trace "X" ((eLetRecContext (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_')) (trace "X" (lev)) (trace "X" (tree)) (trace "X" (branches))))))) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_')) (trace "X" (__U03c4_)) (trace "X" (lev)) (trace "X" (body))))))))))))))))} in (trace "X" (let {q'' = (trace "X" ((trace "X" (q' (trace "X" (__))))))} in (trace "X" (let {q''0 = (trace "X" ((trace "X" (eq_rect (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((update_xi (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" ((trace "X" ((leaves (trace "X" (tree)))))))))))) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((leaves (trace "X" ((trace "X" ((mapOptionTree (trace "X" (fst)) (trace "X" (tree)))))))))))) (trace "X" ((T_Branch (trace "X" ((trace "X" ((eLetRecContext (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((update_xi (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" ((trace "X" ((leaves (trace "X" (tree)))))))))))) (trace "X" (lev)) (trace "X" (tree)) (trace "X" (branches))))))) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" 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+mkProofCaseBranch :: (EqDecidable a1) > (([]) Kind) > (([]) HaskCoercionKind) > (a1 > LeveledHaskType) > HaskLevel > TyCon.TyCon > HaskType > (IList Kind HaskType) > (SigT StrongAltCon (SigT (StrongCaseBranchWithVVs a1) (Expr a1))) > (,) StrongAltCon (Tree (Prelude.Maybe LeveledHaskType))
+mkProofCaseBranch eqd_vv __U0393_0 __U0394_0 __U03be_0 l tc tbranches atypes alt =
+ (trace "X" (case (trace "X" (alt)) of {
+ ExistT x s > (trace "X" ((,) (trace "X" (x)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExprVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (x))))))) (trace "X" ((trace "X" ((scbwv_exprvars (trace "X" (eqd_vv)) (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (atypes)) (trace "X" (x)) (trace "X" ((trace "X" ((projT1 (trace "X" (s))))))))))))))))) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((sac_gamma (trace "X" (tc)) (trace "X" (x)) (trace "X" (__U0393_0))))))) (trace "X" ((trace "X" ((sac_delta (trace "X" (tc)) (trace "X" (x)) (trace "X" (__U0393_0)) (trace "X" (atypes)) (trace "X" ((trace "X" ((weakCK'' (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExTyVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (x))))))) (trace "X" ((trace "X" ((sac_ekinds (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (x)))))))))))) (trace "X" (__U0394_0)))))))))))) (trace "X" ((trace "X" ((scbwv_xi (trace "X" (eqd_vv)) (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (atypes)) (trace "X" (x)) (trace "X" ((trace "X" ((projT1 (trace "X" (s))))))) (trace "X" (__U03be_0)) (trace "X" (l))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (weakT' (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExTyVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (x))))))) (trace "X" ((trace "X" ((sac_ekinds (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (x)))))))))))) (trace "X" (KindStar)) (trace "X" (tbranches))))))))) (trace "X" ((trace "X" ((weakL' (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExTyVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (x))))))) (trace "X" ((trace "X" ((sac_ekinds (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (x)))))))))))) (trace "X" (l))))))) (trace "X" ((trace "X" ((projT2 (trace "X" (s))))))))))))))))))))))))}))
+
expr2proof :: (EqDecidable a1) > TypeEnv > CoercionEnv > (a1 > LeveledHaskType) > HaskType > HaskLevel > (Expr a1) > ND Judg Rule
expr2proof eqd_vv __U0393_' __U0394_' __U03be_' __U03c4_' l' exp =
(trace "X" (case (trace "X" (exp)) of {
@@ 3773,7 +3853,7 @@ expr2proof eqd_vv __U0393_' __U0394_' __U03be_' __U03c4_' l' exp =
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ECase __U0393_0 __U0394_0 __U03be_0 l tc tbranches atypes e alts' >
(trace "X" (let {
dcsp = (trace "X" ((trace "X" (let {
@@ 3784,12 +3864,12 @@ expr2proof eqd_vv __U0393_' __U0394_' __U03be_' __U03c4_' l' exp =
Prelude.Just x >
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(__U03be_0)) (trace "X" (l)) (trace "X" (tc)) (trace "X" (tbranches)) (trace "X" (atypes))))))) (trace "X" (alts')))))))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (tbranches)) (trace "X" (l)) (trace "X" ((ECase (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (l)) (trace "X" (tc)) (trace "X" (tbranches)) (trace "X" (atypes)) (trace "X" (e)) (trace "X" (alts')))))))))))))))))))));
ELetRec __U0393_0 __U0394_0 __U03be_0 lev t tree x x0 >
(trace "X" (let {__U03be_'0 = (trace "X" ((trace "X" (update_xi (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" ((trace "X" ((leaves (trace "X" (tree)))))))))))} in
(trace "X" ((trace "X" (letRecSubproofsToND' (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" (t)) (trace "X" (tree)) (trace "X" (x)) (trace "X" (x0)) (trace "X" ((trace "X" ((expr2proof (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_'0)) (trace "X" (t)) (trace "X" (lev)) (trace "X" (x0)))))))
@@ 3918,7 +3998,7 @@ nd_ruleToRawLatexMath h c r =
RRight __U0393_0 __U0394_0 __U03a3___U2081_ __U03a3___U2082_ __U03a3_ l > (trace "X" ((:) (trace "X" ('R')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('g')) (trace "X" (((:) (trace "X" ('h')) (trace "X" (((:) (trace "X" ('t')) (trace "X" ([]))))))))))))))));
RVoid __U0393_0 __U0394_0 l > (trace "X" ((:) (trace "X" ('R')) (trace "X" (((:) (trace "X" ('V')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('d')) (trace "X" ([]))))))))))))))));
RAppT __U0393_0 __U0394_0 __U03a3_ __U03ba_ __U03c3_ __U03c4_ l > (trace "X" ((:) (trace "X" ('A')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('T')) (trace "X" ([])))))))))))));
 RAbsT __U0393_0 __U0394_0 __U03a3_ __U03ba_ __U03c3_ l > (trace "X" ((:) (trace "X" ('A')) (trace "X" (((:) (trace "X" ('b')) (trace "X" (((:) (trace "X" ('s')) (trace "X" (((:) (trace "X" ('T')) (trace "X" ([])))))))))))));
+ RAbsT __U0393_0 __U0394_0 __U03a3_ __U03ba_ __U03c3_ l n > (trace "X" ((:) (trace "X" ('A')) (trace "X" (((:) (trace "X" ('b')) (trace "X" (((:) (trace "X" ('s')) (trace "X" (((:) (trace "X" ('T')) (trace "X" ([])))))))))))));
RAppCo __U0393_0 __U0394_0 __U03a3_ __U03ba_ __U03c3___U2081_ __U03c3___U2082_ __U03c3_ l > (trace "X" ((:) (trace "X" ('A')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('C')) (trace "X" (((:) (trace "X" ('o')) (trace "X" ([]))))))))))))))));
RAbsCo __U0393_0 __U0394_0 __U03a3_ __U03ba_ __U03c3___U2081_ __U03c3___U2082_ __U03c3_ l > (trace "X" ((:) (trace "X" ('A')) (trace "X" (((:) (trace "X" ('b')) (trace "X" (((:) (trace "X" ('s')) (trace "X" (((:) (trace "X" ('C')) (trace "X" (((:) (trace "X" ('o')) (trace "X" ([]))))))))))))))));
RLetRec __U0393_0 __U0394_0 __U03a3___U2081_ __U03c4___U2081_ __U03c4___U2082_ lev > (trace "X" ((:) (trace "X" ('L')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('R')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('c')) (trace "X" ([])))))))))))))))))));
@@ 4029,9 +4109,9 @@ typeToWeakType :: (Unique.Unique > Kind > WeakTypeVar0) > TypeEnv > Kind >
typeToWeakType mkWeakTypeVar_ __U0393_0 __U03ba_ __U03c4_ __U03c6_0 =
(trace "X" ((trace "X" (rawHaskTypeToWeakType (trace "X" (mkWeakTypeVar_)) (trace "X" (__U03ba_)) (trace "X" ((trace "X" ((unsafeCoerce (trace "X" (__U03c4_)) (trace "X" (__)) (trace "X" (__U03c6_0)))))))))))
updateITE :: TypeEnv > Kind > a1 > (InstantiatedTypeEnv a1) > InstantiatedTypeEnv a1
updateITE __U0393_0 __U03ba_ tv ite =
 (trace "X" (ICons (trace "X" (__U03ba_)) (trace "X" (__U0393_0)) (trace "X" (tv)) (trace "X" (ite))))
+updateITE_ :: TypeEnv > Kind > Nat > a1 > (InstantiatedTypeEnv a1) > InstantiatedTypeEnv a1
+updateITE_ __U0393_0 __U03ba_ n tv ite =
+ (trace "X" ((trace "X" (eq_rect_r (trace "X" ((trace "X" ((app (trace "X" ((trace "X" ((list_take (trace "X" (__U0393_0)) (trace "X" (n))))))) (trace "X" (((:) (trace "X" (__U03ba_)) (trace "X" ((trace "X" ((list_drop (trace "X" (__U0393_0)) (trace "X" (n))))))))))))))) (trace "X" ((let {ite0 = (trace "X" ((trace "X" (eq_rect_r (trace "X" (__U0393_0)) (trace "X" (ite)) (trace "X" ((trace "X" ((app (trace "X" ((trace "X" ((list_take (trace "X" (__U0393_0)) (trace "X" (n))))))) (trace "X" ((trace "X" ((list_drop (trace "X" (__U0393_0)) (trace "X" (n))))))))))))))))} in (trace "X" ((trace "X" (ilist_app (trace "X" ((trace "X" ((list_take (trace "X" (__U0393_0)) (trace "X" (n))))))) (trace "X" ((trace "X" ((ilist_chop (trace "X" ((trace "X" ((list_take (trace "X" (__U0393_0)) (trace "X" (n))))))) (trace "X" ((trace "X" ((list_drop (trace "X" (__U0393_0)) (trace "X" (n))))))) (trace "X" (ite0))))))) (trace "X" (((:) (trace "X" (__U03ba_)) (trace "X" ((trace "X" ((list_drop (trace "X" (__U0393_0)) (trace "X" (n)))))))))) (trace "X" ((ICons (trace "X" (__U03ba_)) (trace "X" ((trace "X" ((list_drop (trace "X" (__U0393_0)) (trace "X" (n))))))) (trace "X" (tv)) (trace "X" ((trace "X" ((ilist_chop' (trace "X" ((trace "X" ((list_take (trace "X" (__U0393_0)) (trace "X" (n))))))) (trace "X" ((trace "X" ((list_drop (trace "X" (__U0393_0)) (trace "X" (n))))))) (trace "X" (ite0))))))))))))))))) (trace "X" ((trace "X" ((list_ins (trace "X" (n)) (trace "X" (__U03ba_)) (trace "X" (__U0393_0)))))))))))
coercionToWeakCoercion :: (Unique.Unique > Kind > WeakTypeVar0) > TypeEnv > CoercionEnv > Kind > HaskType > HaskType > (InstantiatedTypeEnv WeakTypeVar0) > UniqM WeakCoercion
coercionToWeakCoercion mkWeakTypeVar_ __U0393_0 __U0394_0 __U03ba_ t1 t2 ite =
@@ 4077,7 +4157,7 @@ exprToWeakExpr hetmet_brak hetmet_esc mkWeakTypeVar_ mkWeakCoerVar_ mkWeakExprVa
ETyApp __U0393_1 __U0394_1 __U03ba_ __U03c3_ __U03c4_0 __U03be_1 l0 e > (trace "X" ((\ite > (trace "X" ((trace "X" (bindM (trace "X" ((unsafeCoerce (trace "X" (uniqMonad))))) (trace "X" ((unsafeCoerce (trace "X" ((trace "X" ((typeToWeakType (trace "X" (mkWeakTypeVar_)) (trace "X" (__U0393_1)) (trace "X" (__U03ba_)) (trace "X" (__U03c4_0)) (trace "X" (ite)))))))))) (trace "X" ((\t' > (trace "X" ((trace "X" (bindM (trace "X" ((unsafeCoerce (trace "X" (uniqMonad))))) (trace "X" ((trace "X" ((exprToWeakExpr0 (trace "X" (__U0393_1)) (trace "X" (__U0394_1)) (trace "X" (__U03be_1)) (trace "X" ((\_ > (trace "X" ((trace "X" (haskTAll (trace "X" (__U0393_1)) (trace "X" (__U03ba_)) (trace "X" (__U03c3_))))))))) (trace "X" (l0)) (trace "X" (__U03c7_)) (trace "X" (e)) (trace "X" (ite))))))) (trace "X" ((\e' > (trace "X" ((trace "X" (returnM (trace "X" ((unsafeCoerce (trace "X" (uniqMonad))))) (trace "X" ((WETyApp (trace "X" (e')) (trace "X" (t'))))))))))))))))))))))))));
ECoLam __U0393_1 __U0394_1 __U03ba_ __U03c3_ __U03c3___U2081_ __U03c3___U2082_ __U03be_1 l0 e > (trace "X" ((\ite > (trace "X" ((trace "X" (bindM (trace "X" ((unsafeCoerce (trace "X" (uniqMonad))))) (trace "X" ((unsafeCoerce (trace "X" ((trace "X" ((typeToWeakType (trace "X" (mkWeakTypeVar_)) (trace "X" (__U0393_1)) (trace "X" (__U03ba_)) (trace "X" (__U03c3___U2081_)) (trace "X" (ite)))))))))) (trace "X" ((\t1' > (trace "X" ((trace "X" (bindM (trace "X" ((unsafeCoerce (trace "X" (uniqMonad))))) (trace "X" ((unsafeCoerce (trace "X" ((trace "X" ((typeToWeakType (trace "X" (mkWeakTypeVar_)) (trace "X" (__U0393_1)) (trace "X" (__U03ba_)) (trace "X" (__U03c3___U2082_)) (trace "X" (ite)))))))))) (trace "X" ((\t2' > (trace "X" ((trace "X" (bindM (trace "X" ((unsafeCoerce (trace "X" (uniqMonad))))) (trace "X" ((unsafeCoerce (trace "X" ((trace "X" ((mkWeakCoerVar (trace "X" (mkWeakCoerVar_)) (trace "X" (__U03ba_)) (trace "X" (t1')) (trace "X" (t2')))))))))) (trace "X" ((\cv > (trace "X" ((trace "X" (bindM (trace "X" ((unsafeCoerce (trace "X" (uniqMonad))))) (trace "X" ((trace "X" ((exprToWeakExpr0 (trace "X" (__U0393_1)) (trace "X" (((:) (trace "X" ((\_ > (trace "X" ((trace "X" (mkHaskCoercionKind (trace "X" (__U0393_1)) (trace "X" (__U03ba_)) (trace "X" (__U03c3___U2081_)) (trace "X" (__U03c3___U2082_))))))))) (trace "X" (__U0394_1))))) (trace "X" (__U03be_1)) (trace "X" (__U03c3_)) (trace "X" (l0)) (trace "X" (__U03c7_)) (trace "X" (e)) (trace "X" (ite))))))) (trace "X" ((\e' > (trace "X" ((trace "X" (returnM (trace "X" ((unsafeCoerce (trace "X" (uniqMonad))))) (trace "X" ((WECoLam (trace "X" (cv)) (trace "X" (e'))))))))))))))))))))))))))))))))))))))));
ECoApp __U0393_1 __U0394_1 __U03ba_ __U03c3___U2081_ __U03c3___U2082_ __U03c3_ __U03be_1 l0 e > (trace "X" ((\ite > (trace "X" ((trace "X" (bindM (trace "X" ((unsafeCoerce (trace "X" (uniqMonad))))) (trace "X" ((trace "X" ((exprToWeakExpr0 (trace "X" (__U0393_1)) (trace "X" (__U0394_1)) (trace "X" (__U03be_1)) (trace "X" ((\_ env > (trace "X" (TCoerc (trace "X" (__U03ba_)) (trace "X" ((trace "X" ((__U03c3___U2081_ (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((__U03c3___U2082_ (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((__U03c3_ (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (l0)) (trace "X" (__U03c7_)) (trace "X" (e)) (trace "X" (ite))))))) (trace "X" ((\e' > (trace "X" ((trace "X" (bindM (trace "X" ((unsafeCoerce (trace "X" (uniqMonad))))) (trace "X" ((unsafeCoerce (trace "X" ((trace "X" ((coercionToWeakCoercion (trace "X" (mkWeakTypeVar_)) (trace "X" (__U0393_1)) (trace "X" (__U0394_1)) (trace "X" (__U03ba_)) (trace "X" (__U03c3___U2081_)) (trace "X" (__U03c3___U2082_)) (trace "X" (ite)))))))))) (trace "X" ((\c' > (trace "X" ((trace "X" (returnM (trace "X" ((unsafeCoerce (trace "X" (uniqMonad))))) (trace "X" ((WECoApp (trace "X" (e')) (trace "X" (c'))))))))))))))))))))))))));
 ETyLam __U0393_1 __U0394_1 __U03be_1 k __U03c3_ l0 e > (trace "X" ((\ite > (trace "X" ((trace "X" (bindM (trace "X" ((unsafeCoerce (trace "X" (uniqMonad))))) (trace "X" ((unsafeCoerce (trace "X" ((trace "X" ((mkWeakTypeVar (trace "X" (mkWeakTypeVar_)) (trace "X" (k)))))))))) (trace "X" ((\tv > (trace "X" ((trace "X" (bindM (trace "X" ((unsafeCoerce (trace "X" (uniqMonad))))) (trace "X" ((trace "X" ((exprToWeakExpr0 (trace "X" (((:) (trace "X" (k)) (trace "X" (__U0393_1))))) (trace "X" ((trace "X" ((weakCE (trace "X" (__U0393_1)) (trace "X" (k)) (trace "X" (__U0394_1))))))) (trace "X" ((\x > (trace "X" ((trace "X" (weakLT (trace "X" (__U0393_1)) (trace "X" (k)) (trace "X" (KindStar)) (trace "X" ((trace "X" ((__U03be_1 (trace "X" (x)))))))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (haskTApp (trace "X" (((:) (trace "X" (k)) (trace "X" (__U0393_1))))) (trace "X" (k)) (trace "X" ((\_ > (trace "X" ((trace "X" (weakF (trace "X" (__U0393_1)) (trace "X" (k)) (trace "X" (KindStar)) (trace "X" (__U03c3_))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (freshHaskTyVar (trace "X" (__U0393_1)) (trace "X" (k)))))))))))))))) (trace "X" ((trace "X" ((weakL (trace "X" (__U0393_1)) (trace "X" (k)) (trace "X" (l0))))))) (trace "X" (__U03c7_)) (trace "X" (e)) (trace "X" ((trace "X" ((updateITE (trace "X" (__U0393_1)) (trace "X" (k)) (trace "X" (tv)) (trace "X" (ite)))))))))))) (trace "X" ((\e' > (trace "X" ((trace "X" (returnM (trace "X" ((unsafeCoerce (trace "X" (uniqMonad))))) (trace "X" ((WETyLam (trace "X" (tv)) (trace "X" (e'))))))))))))))))))))))))));
+ ETyLam __U0393_1 __U0394_1 __U03be_1 k __U03c3_ l0 n e > (trace "X" ((\ite > (trace "X" ((trace "X" (bindM (trace "X" ((unsafeCoerce (trace "X" (uniqMonad))))) (trace "X" ((unsafeCoerce (trace "X" ((trace "X" ((mkWeakTypeVar (trace "X" (mkWeakTypeVar_)) (trace "X" (k)))))))))) (trace "X" ((\tv > (trace "X" ((trace "X" (bindM (trace "X" ((unsafeCoerce (trace "X" (uniqMonad))))) (trace "X" ((trace "X" ((exprToWeakExpr0 (trace "X" ((trace "X" ((list_ins (trace "X" (n)) (trace "X" (k)) (trace "X" (__U0393_1))))))) (trace "X" ((trace "X" ((weakCE_ (trace "X" (__U0393_1)) (trace "X" (k)) (trace "X" (n)) (trace "X" (__U0394_1))))))) (trace "X" ((\x > (trace "X" ((trace "X" (weakLT_ (trace "X" (__U0393_1)) (trace "X" (k)) (trace "X" (n)) (trace "X" (KindStar)) (trace "X" ((trace "X" ((__U03be_1 (trace "X" (x)))))))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (haskTApp (trace "X" ((trace "X" ((list_ins (trace "X" (n)) (trace "X" (k)) (trace "X" (__U0393_1))))))) (trace "X" (k)) (trace "X" ((\_ > (trace "X" ((trace "X" (weakF_ (trace "X" (__U0393_1)) (trace "X" (n)) (trace "X" (k)) (trace "X" (KindStar)) (trace "X" (__U03c3_))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (freshHaskTyVar_ (trace "X" (__U0393_1)) (trace "X" (k)) (trace "X" (n)))))))))))))))) (trace "X" ((trace "X" ((weakL_ (trace "X" (__U0393_1)) (trace "X" (k)) (trace "X" (n)) (trace "X" (l0))))))) (trace "X" (__U03c7_)) (trace "X" (e)) (trace "X" ((trace "X" ((updateITE_ (trace "X" (__U0393_1)) (trace "X" (k)) (trace "X" (n)) (trace "X" (tv)) (trace "X" (ite)))))))))))) (trace "X" ((\e' > (trace "X" ((trace "X" (returnM (trace "X" ((unsafeCoerce (trace "X" (uniqMonad))))) (trace "X" ((WETyLam (trace "X" (tv)) (trace "X" (e'))))))))))))))))))))))))));
ECase __U0393_1 __U0394_1 __U03be_1 l0 tc tbranches atypes escrut alts > (trace "X" ((\ite >
(trace "X" ((trace "X" (bindM (trace "X" ((unsafeCoerce (trace "X" (uniqMonad))))) (trace "X" ((unsafeCoerce (trace "X" ((trace "X" ((typeToWeakType (trace "X" (mkWeakTypeVar_)) (trace "X" (__U0393_1)) (trace "X" (KindStar)) (trace "X" ((\_ > (trace "X" ((trace "X" (caseType (trace "X" (__U0393_1)) (trace "X" (tc)) (trace "X" (atypes))))))))) (trace "X" (ite)))))))))) (trace "X" ((\tscrut' >
(trace "X" ((trace "X" (bindM (trace "X" ((unsafeCoerce (trace "X" (uniqMonad))))) (trace "X" ((unsafeCoerce (trace "X" ((trace "X" ((mkWeakExprVar (trace "X" (mkWeakExprVar_)) (trace "X" (tscrut')))))))))) (trace "X" ((\vscrut' >
@@ 4252,9 +4332,9 @@ unindex_tree t it =
ILeaf x y > (trace "X" (T_Leaf (trace "X" ((Prelude.Just (trace "X" ((ExistT (trace "X" (x)) (trace "X" (y))))))))));
IBranch it1 it2 b1 b2 > (trace "X" (T_Branch (trace "X" ((trace "X" ((unindex_tree (trace "X" (it1)) (trace "X" (b1))))))) (trace "X" ((trace "X" ((unindex_tree (trace "X" (it2)) (trace "X" (b2)))))))))}))
fix_indexing :: (Tree (Prelude.Maybe (SigT a1 a2))) > (ITree (SigT a1 a2) a3) > ITree a1 a3
+fix_indexing :: (Tree (Prelude.Maybe ((,) a1 a2))) > (ITree ((,) a1 a2) a3) > ITree a1 a3
fix_indexing t it =
 (trace "X" ((trace "X" (iTree_rect (trace "X" (INone)) (trace "X" ((\i f > (trace "X" (ILeaf (trace "X" ((trace "X" ((projT1 (trace "X" (i))))))) (trace "X" (f))))))) (trace "X" ((\it1 it2 it3 iHit1 it4 iHit2 > (trace "X" (IBranch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (projT1)) (trace "X" (it1))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (projT1)) (trace "X" (it2))))))) (trace "X" (iHit1)) (trace "X" (iHit2))))))) (trace "X" (t)) (trace "X" (it))))))
+ (trace "X" ((trace "X" (iTree_rect (trace "X" (INone)) (trace "X" ((\i f > (trace "X" (ILeaf (trace "X" ((trace "X" ((fst (trace "X" (i))))))) (trace "X" (f))))))) (trace "X" ((\it1 it2 it3 iHit1 it4 iHit2 > (trace "X" (IBranch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (fst)) (trace "X" (it1))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (fst)) (trace "X" (it2))))))) (trace "X" (iHit1)) (trace "X" (iHit2))))))) (trace "X" (t)) (trace "X" (it))))))
fix2 :: (FreshMonad a1) > (Tree (Prelude.Maybe (SigT a2 (FreshM a1 a3)))) > Tree (Prelude.Maybe (FreshM a1 (SigT a2 a3)))
fix2 freshM t =
@@ 4266,19 +4346,19 @@ fix2 freshM t =
Prelude.Nothing > (trace "X" (T_Leaf (trace "X" (Prelude.Nothing))))}));
T_Branch b1 b2 > (trace "X" (T_Branch (trace "X" ((trace "X" ((fix2 (trace "X" (freshM)) (trace "X" (b1))))))) (trace "X" ((trace "X" ((fix2 (trace "X" (freshM)) (trace "X" (b2)))))))))}))
case_helper :: (EqDecidable a1) > (FreshMonad a1) > TyCon.TyCon > TypeEnv > (([]) HaskCoercionKind) > HaskLevel > HaskType > (IList Kind HaskType) > (a1 > LeveledHaskType) > (SigT StrongAltCon ProofCaseBranch) > ((,) (Judg2exprType a1) (SigT (Tree (Prelude.Maybe a1)) ())) > FreshM a1 (SigT (StrongCaseBranchWithVVs a1) (Expr a1))
+case_helper :: (EqDecidable a1) > (FreshMonad a1) > TyCon.TyCon > TypeEnv > (([]) HaskCoercionKind) > HaskLevel > HaskType > (IList Kind HaskType) > (a1 > LeveledHaskType) > ((,) StrongAltCon (Tree (Prelude.Maybe LeveledHaskType))) > ((,) (Judg2exprType a1) (SigT (Tree (Prelude.Maybe a1)) ())) > FreshM a1 (SigT (StrongCaseBranchWithVVs a1) (Expr a1))
case_helper eqdec_vv freshM tc __U0393_0 __U0394_0 lev tbranches avars __U03be_0 pcb x =
(trace "X" (case (trace "X" (pcb)) of {
 ExistT sac pcb0 >
+ (,) sac pcb0 >
(trace "X" (case (trace "X" (x)) of {
(,) f s > (trace "X" (case (trace "X" (s)) of {
 ExistT vars _ > (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((trace "X" ((fresh_lemma' (trace "X" (eqdec_vv)) (trace "X" (freshM)) (trace "X" ((trace "X" ((sac_gamma (trace "X" (tc)) (trace "X" (sac)) (trace "X" (__U0393_0))))))) (trace "X" ((trace "X" ((unleaves (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExprVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac))))))) (trace "X" ((trace "X" ((sac_types (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac)) (trace "X" (__U0393_0)) (trace "X" (avars))))))))))))))))) (trace "X" (vars)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((weakLT' (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExTyVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac))))))) (trace "X" ((trace "X" ((sac_ekinds (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac)))))))))))) (trace "X" (KindStar))))))) (trace "X" ((trace "X" ((pcb_freevars (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (lev)) (trace "X" (tbranches)) (trace "X" (avars)) (trace "X" (sac)) (trace "X" (pcb0)))))))))))) (trace "X" ((\x0 > (trace "X" ((trace "X" (weakLT' (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExTyVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac))))))) (trace "X" ((trace "X" ((sac_ekinds (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac)))))))))))) (trace "X" (KindStar)) (trace "X" ((trace "X" ((__U03be_0 (trace "X" (x0)))))))))))))) (trace "X" ((trace "X" ((weakL' (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExTyVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac))))))) (trace "X" ((trace "X" ((sac_ekinds (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac)))))))))))) (trace "X" (lev)))))))))))) (trace "X" ((\localvars > (trace "X" (let {localvars' = (trace "X" ((trace "X" (mapOptionTree (trace "X" (fst)) (trace "X" (localvars))))))} in (trace "X" (let {localvars'' = (trace "X" ((trace "X" (list2vec (trace "X" ((trace "X" ((leaves (trace "X" (localvars')))))))))))} in (trace "X" (let {localvars''0 = (trace "X" ((trace "X" (eq_rect (trace "X" ((trace "X" ((length (trace "X" ((trace "X" ((leaves (trace "X" (localvars')))))))))))) (trace "X" (localvars'')) (trace "X" ((trace "X" ((sac_numExprVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac)))))))))))} in (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((trace "X" ((unsafeCoerce (trace "X" (f)) (trace "X" ((trace "X" ((scbwv_xi (trace "X" (eqdec_vv)) (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (avars)) (trace "X" (sac)) (trace "X" (localvars''0)) (trace "X" (__U03be_0)) (trace "X" (lev))))))) (trace "X" ((T_Branch (trace "X" (vars)) (trace "X" ((trace "X" ((unleaves (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExprVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac))))))) (trace "X" ((trace "X" ((scbwv_exprvars (trace "X" (eqdec_vv)) (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (avars)) (trace "X" (sac)) (trace "X" (localvars''0)))))))))))))))))))) (trace "X" (__))))))) (trace "X" ((\q > (trace "X" ((trace "X" (returnM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((ExistT (trace "X" (localvars''0)) (trace "X" ((trace "X" ((ileaf (trace "X" ((\_ > (trace "X" ((trace "X" (weakT' (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExTyVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac))))))) (trace "X" ((trace "X" ((sac_ekinds (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac)))))))))))) (trace "X" (KindStar)) (trace "X" (tbranches))))))))) (trace "X" (q))))))))))))))))))))))))))))))))))}))}))}))
+ ExistT vars _ > (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((trace "X" ((fresh_lemma' (trace "X" (eqdec_vv)) (trace "X" (freshM)) (trace "X" ((trace "X" ((sac_gamma (trace "X" (tc)) (trace "X" (sac)) (trace "X" (__U0393_0))))))) (trace "X" ((trace "X" ((unleaves (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExprVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac))))))) (trace "X" ((trace "X" ((sac_types (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac)) (trace "X" (__U0393_0)) (trace "X" (avars))))))))))))))))) (trace "X" (vars)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((weakLT' (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExTyVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac))))))) (trace "X" ((trace "X" ((sac_ekinds (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac)))))))))))) (trace "X" (KindStar))))))) (trace "X" (pcb0))))))) (trace "X" ((\x0 > (trace "X" ((trace "X" (weakLT' (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExTyVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac))))))) (trace "X" ((trace "X" ((sac_ekinds (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac)))))))))))) (trace "X" (KindStar)) (trace "X" ((trace "X" ((__U03be_0 (trace "X" (x0)))))))))))))) (trace "X" ((trace "X" ((weakL' (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExTyVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac))))))) (trace "X" ((trace "X" ((sac_ekinds (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac)))))))))))) (trace "X" (lev)))))))))))) (trace "X" ((\localvars > (trace "X" (let {localvars' = (trace "X" ((trace "X" (mapOptionTree (trace "X" (fst)) (trace "X" (localvars))))))} in (trace "X" (let {localvars'' = (trace "X" ((trace "X" (list2vec (trace "X" ((trace "X" ((leaves (trace "X" (localvars')))))))))))} in (trace "X" (let {localvars''0 = (trace "X" ((trace "X" (eq_rect (trace "X" ((trace "X" ((length (trace "X" ((trace "X" ((leaves (trace "X" (localvars')))))))))))) (trace "X" (localvars'')) (trace "X" ((trace "X" ((sac_numExprVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac)))))))))))} in (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((trace "X" ((unsafeCoerce (trace "X" (f)) (trace "X" ((trace "X" ((scbwv_xi (trace "X" (eqdec_vv)) (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (avars)) (trace "X" (sac)) (trace "X" (localvars''0)) (trace "X" (__U03be_0)) (trace "X" (lev))))))) (trace "X" ((T_Branch (trace "X" (vars)) (trace "X" ((trace "X" ((unleaves (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExprVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac))))))) (trace "X" ((trace "X" ((scbwv_exprvars (trace "X" (eqdec_vv)) (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (avars)) (trace "X" (sac)) (trace "X" (localvars''0)))))))))))))))))))) (trace "X" (__))))))) (trace "X" ((\q > (trace "X" ((trace "X" (returnM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((ExistT (trace "X" (localvars''0)) (trace "X" ((trace "X" ((ileaf (trace "X" ((\_ > (trace "X" ((trace "X" (weakT' (trace "X" (__U0393_0)) (trace "X" ((trace "X" ((vec2list (trace "X" ((trace "X" ((sac_numExTyVars (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac))))))) (trace "X" ((trace "X" ((sac_ekinds (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (sac)))))))))))) (trace "X" (KindStar)) (trace "X" (tbranches))))))))) (trace "X" (q))))))))))))))))))))))))))))))))))}))}))}))
gather_branch_variables :: (EqDecidable a1) > (FreshMonad a1) > TypeEnv > (([]) HaskCoercionKind) > (a1 > LeveledHaskType) > TyCon.TyCon > (IList Kind HaskType) > HaskType > HaskLevel > (Tree (Prelude.Maybe (SigT StrongAltCon ProofCaseBranch))) > (Tree (Prelude.Maybe a1)) > (ITree Judg (Judg2exprType a1)) > ITree (SigT StrongAltCon ProofCaseBranch) ((,) (Judg2exprType a1) (SigT (Tree (Prelude.Maybe a1)) ()))
+gather_branch_variables :: (EqDecidable a1) > (FreshMonad a1) > TypeEnv > (([]) HaskCoercionKind) > (a1 > LeveledHaskType) > TyCon.TyCon > HaskType > (IList Kind HaskType) > HaskLevel > (Tree (Prelude.Maybe ((,) StrongAltCon (Tree (Prelude.Maybe LeveledHaskType))))) > (Tree (Prelude.Maybe a1)) > (ITree Judg (Judg2exprType a1)) > ITree ((,) StrongAltCon (Tree (Prelude.Maybe LeveledHaskType))) ((,) (Judg2exprType a1) (SigT (Tree (Prelude.Maybe a1)) ()))
gather_branch_variables eqdec_vv freshM __U0393_0 __U0394_0 __U03be_0 tc avars tbranches lev alts vars x =
(trace "X" ((trace "X" (tree_rect (trace "X" ((\a vars0 _ source >
(trace "X" (case (trace "X" (a)) of {
 Prelude.Just s > (trace "X" (let {source0 = (trace "X" ((trace "X" (ileaf (trace "X" ((trace "X" ((pcb_judg (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (lev)) (trace "X" (tbranches)) (trace "X" (avars)) (trace "X" ((trace "X" ((projT1 (trace "X" (s))))))) (trace "X" ((trace "X" ((projT2 (trace "X" (s)))))))))))) (trace "X" (source))))))} in (trace "X" (ILeaf (trace "X" (s)) (trace "X" (((,) (trace "X" ((unsafeCoerce (trace "X" ((\__U03be_1 vars1 _ > (trace "X" ((trace "X" (unsafeCoerce (trace "X" (source0)) (trace "X" (__U03be_1)) (trace "X" (vars1)) (trace "X" (__)))))))))))) (trace "X" ((ExistT (trace "X" (vars0)) (trace "X" (__))))))))))));
+ Prelude.Just p > (trace "X" (let {source0 = (trace "X" ((trace "X" (ileaf (trace "X" ((trace "X" ((pcb_judg (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (lev)) (trace "X" (avars)) (trace "X" (tbranches)) (trace "X" ((trace "X" ((fst (trace "X" (p))))))) (trace "X" ((trace "X" ((snd (trace "X" (p)))))))))))) (trace "X" (source))))))} in (trace "X" (ILeaf (trace "X" (p)) (trace "X" (((,) (trace "X" ((unsafeCoerce (trace "X" ((\__U03be_1 vars1 _ > (trace "X" ((trace "X" (unsafeCoerce (trace "X" (source0)) (trace "X" (__U03be_1)) (trace "X" (vars1)) (trace "X" (__)))))))))))) (trace "X" ((ExistT (trace "X" (vars0)) (trace "X" (__))))))))))));
Prelude.Nothing > (trace "X" (INone))}))))) (trace "X" ((\alts1 iHalts1 alts2 iHalts2 vars0 _ source >
(trace "X" (case (trace "X" (vars0)) of {
T_Leaf o > (trace "X" (false_rect));
@@ 4286,7 +4366,7 @@ gather_branch_variables eqdec_vv freshM __U0393_0 __U0394_0 __U03be_0 tc avars t
(trace "X" (case (trace "X" (source)) of {
INone > (trace "X" (false_rect));
ILeaf i x0 > (trace "X" ((trace "X" (false_rect (trace "X" (x0))))));
 IBranch it1 it2 x0 x1 > (trace "X" ((trace "X" (eq_rect (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x2 > (trace "X" ((trace "X" (pcb_judg (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (lev)) (trace "X" (tbranches)) (trace "X" (avars)) (trace "X" ((trace "X" ((projT1 (trace "X" (x2))))))) (trace "X" ((trace "X" ((projT2 (trace "X" (x2)))))))))))))) (trace "X" (alts1))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (eq_rect (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x2 > (trace "X" ((trace "X" (pcb_judg (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (lev)) (trace "X" (tbranches)) (trace "X" (avars)) (trace "X" ((trace "X" ((projT1 (trace "X" (x2))))))) (trace "X" ((trace "X" ((projT2 (trace "X" (x2)))))))))))))) (trace "X" (alts2))))))) (trace "X" ((\x2 x3 > (trace "X" (IBranch (trace "X" (alts1)) (trace "X" (alts2)) (trace "X" ((trace "X" ((iHalts1 (trace "X" (vars1)) (trace "X" (__)) (trace "X" (x2))))))) (trace "X" ((trace "X" ((iHalts2 (trace "X" (vars2)) (trace "X" (__)) (trace "X" (x3)))))))))))) (trace "X" (it2))))))))) (trace "X" (it1)) (trace "X" (__)) (trace "X" (x0)) (trace "X" (x1))))))}))}))))) (trace "X" (alts)) (trace "X" (vars)) (trace "X" (__)) (trace "X" (x))))))
+ IBranch it1 it2 x0 x1 > (trace "X" ((trace "X" (eq_rect (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x2 > (trace "X" ((trace "X" (pcb_judg (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (lev)) (trace "X" (avars)) (trace "X" (tbranches)) (trace "X" ((trace "X" ((fst (trace "X" (x2))))))) (trace "X" ((trace "X" ((snd (trace "X" (x2)))))))))))))) (trace "X" (alts1))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (eq_rect (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x2 > (trace "X" ((trace "X" (pcb_judg (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (lev)) (trace "X" (avars)) (trace "X" (tbranches)) (trace "X" ((trace "X" ((fst (trace "X" (x2))))))) (trace "X" ((trace "X" ((snd (trace "X" (x2)))))))))))))) (trace "X" (alts2))))))) (trace "X" ((\x2 x3 > (trace "X" (IBranch (trace "X" (alts1)) (trace "X" (alts2)) (trace "X" ((trace "X" ((iHalts1 (trace "X" (vars1)) (trace "X" (__)) (trace "X" (x2))))))) (trace "X" ((trace "X" ((iHalts2 (trace "X" (vars2)) (trace "X" (__)) (trace "X" (x3)))))))))))) (trace "X" (it2))))))))) (trace "X" (it1)) (trace "X" (__)) (trace "X" (x0)) (trace "X" (x1))))))}))}))))) (trace "X" (alts)) (trace "X" (vars)) (trace "X" (__)) (trace "X" (x))))))
manyFresh :: (EqDecidable a1) > (FreshMonad a1) > TypeEnv > (Tree (Prelude.Maybe LeveledHaskType)) > (a1 > LeveledHaskType) > FreshM a1 (SigT (Tree (Prelude.Maybe a1)) (SigT (a1 > LeveledHaskType) ()))
manyFresh eqdec_vv freshM __U0393_0 __U03a3_ =
@@ 4506,7 +4586,7 @@ rule2expr eqdec_vv freshM h j r x_ =
T_Branch vars1 vars2 > (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((trace "X" ((unsafeCoerce (trace "X" (x_0)) (trace "X" (__U03be_0)) (trace "X" (vars1)) (trace "X" (__))))))) (trace "X" ((\x' > (trace "X" ((trace "X" (returnM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((IBranch (trace "X" (__U03a3___U2082_)) (trace "X" (__U03a3_)) (trace "X" (x')) (trace "X" ((trace "X" ((vartree (trace "X" (eqdec_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" (l)) (trace "X" (__U03be_0)) (trace "X" (vars2)))))))))))))))))))))}))))))))))));
RVoid __U0393_0 __U0394_0 l > (trace "X" (ILeaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" (l))))) (trace "X" ((unsafeCoerce (trace "X" ((\__U03be_0 vars _ > (trace "X" ((trace "X" (returnM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" (INone))))))))))))));
RAppT __U0393_0 __U0394_0 __U03a3_ __U03ba_ __U03c3_ __U03c4_ y > (trace "X" (let {x_0 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((\_ > (trace "X" ((trace "X" (haskTAll (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c3_))))))))))))))) (trace "X" (y))))) (trace "X" (x_))))))} in (trace "X" (ILeaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((\_ > (trace "X" ((trace "X" (substT (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (KindStar)) (trace "X" (__U03c3_)) (trace "X" (__U03c4_))))))))))))))) (trace "X" (y))))) (trace "X" ((unsafeCoerce (trace "X" ((\__U03be_0 vars _ > (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((trace "X" ((unsafeCoerce (trace "X" (x_0)) (trace "X" (__U03be_0)) (trace "X" (vars)) (trace "X" (__))))))) (trace "X" ((\x > (trace "X" ((trace "X" (returnM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((ILeaf (trace "X" ((\_ > (trace "X" ((trace "X" (substT (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (KindStar)) (trace "X" (__U03c3_)) (trace "X" (__U03c4_))))))))) (trace "X" ((ETyApp (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c3_)) (trace "X" (__U03c4_)) (trace "X" (__U03be_0)) (trace "X" (y)) (trace "X" ((trace "X" ((ileaf (trace "X" ((\_ > (trace "X" ((trace "X" (haskTAll (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c3_))))))))) (trace "X" (x))))))))))))))))))))))))))))))))));
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+ RAbsT __U0393_0 __U0394_0 __U03a3_ __U03ba_ __U03c3_ a n > (trace "X" (let {x_0 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkJudg (trace "X" ((trace "X" ((list_ins (trace "X" (n)) (trace "X" (__U03ba_)) (trace "X" (__U0393_0))))))) (trace "X" ((trace "X" ((weakCE_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)) (trace "X" (__U0394_0))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((weakLT_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)) (trace "X" (KindStar))))))) (trace "X" (__U03a3_))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((\_ > (trace "X" ((trace "X" (haskTApp (trace "X" ((trace "X" ((list_ins (trace "X" (n)) (trace "X" (__U03ba_)) (trace "X" (__U0393_0))))))) (trace "X" (__U03ba_)) (trace "X" ((\_ > (trace "X" ((trace "X" (weakF_ (trace "X" (__U0393_0)) (trace "X" (n)) (trace "X" (__U03ba_)) (trace "X" (KindStar)) (trace "X" (__U03c3_))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (freshHaskTyVar_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)))))))))))))))))))))) (trace "X" ((trace "X" ((weakL_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)) (trace "X" (a)))))))))) (trace "X" (x_))))))} in (trace "X" (ILeaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((\_ > (trace "X" ((trace "X" (haskTAll (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c3_))))))))))))))) (trace "X" (a))))) (trace "X" ((unsafeCoerce (trace "X" ((\__U03be_0 vars _ > (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((trace "X" ((unsafeCoerce (trace "X" (x_0)) (trace "X" ((\x > (trace "X" ((trace "X" (weakLT_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)) (trace "X" (KindStar)) (trace "X" ((trace "X" ((__U03be_0 (trace "X" (x)))))))))))))) (trace "X" (vars)) (trace "X" (__))))))) (trace "X" ((\x > (trace "X" ((trace "X" (returnM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((ILeaf (trace "X" ((\_ > (trace "X" ((trace "X" (haskTAll (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c3_))))))))) (trace "X" ((let {x0 = (trace "X" ((trace "X" (ileaf (trace "X" ((\_ > (trace "X" ((trace "X" (haskTApp (trace "X" ((trace "X" ((list_ins (trace "X" (n)) (trace "X" (__U03ba_)) (trace "X" (__U0393_0))))))) (trace "X" (__U03ba_)) (trace "X" ((\_ > (trace "X" ((trace "X" (weakF_ (trace "X" (__U0393_0)) (trace "X" (n)) (trace "X" (__U03ba_)) (trace "X" (KindStar)) (trace "X" (__U03c3_))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (freshHaskTyVar_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)))))))))))))))) (trace "X" (x))))))} in (trace "X" (ETyLam (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c3_)) (trace "X" (a)) (trace "X" (n)) (trace "X" (x0)))))))))))))))))))))))))))))));
RAppCo __U0393_0 __U0394_0 __U03a3_ __U03ba_ __U03c3___U2081_ __U03c3___U2082_ __U03c3_ l > (trace "X" (let {x_0 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((\_ env > (trace "X" (TCoerc (trace "X" (__U03ba_)) (trace "X" ((trace "X" ((__U03c3___U2081_ (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((__U03c3___U2082_ (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((__U03c3_ (trace "X" (__)) (trace "X" (env)))))))))))))))))) (trace "X" (l))))) (trace "X" (x_))))))} in (trace "X" (ILeaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (__U03c3_)))))))) (trace "X" (l))))) (trace "X" ((unsafeCoerce (trace "X" ((\__U03be_0 vars _ > (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((trace "X" ((unsafeCoerce (trace "X" (x_0)) (trace "X" (__U03be_0)) (trace "X" (vars)) (trace "X" (__))))))) (trace "X" ((\x > (trace "X" ((trace "X" (returnM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((ILeaf (trace "X" (__U03c3_)) (trace "X" ((ECoApp (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c3___U2081_)) (trace "X" (__U03c3___U2082_)) (trace "X" (__U03c3_)) (trace "X" (__U03be_0)) (trace "X" (l)) (trace "X" ((trace "X" ((ileaf (trace "X" ((\_ env > (trace "X" (TCoerc (trace "X" (__U03ba_)) (trace "X" ((trace "X" ((__U03c3___U2081_ (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((__U03c3___U2082_ (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((__U03c3_ (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (x))))))))))))))))))))))))))))))))));
RAbsCo __U0393_0 __U0394_0 __U03a3_ __U03ba_ __U03c3_ __U03c3___U2081_ __U03c3___U2082_ y > (trace "X" (let {x_0 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" ((\_ > (trace "X" ((trace "X" (mkHaskCoercionKind (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c3_)) (trace "X" (__U03c3___U2081_))))))))) (trace "X" (__U0394_0))))) (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (__U03c3___U2082_)))))))) (trace "X" (y))))) (trace "X" (x_))))))} in (trace "X" (ILeaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((\_ env > (trace "X" (TCoerc (trace "X" (__U03ba_)) (trace "X" ((trace "X" ((__U03c3_ (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((__U03c3___U2081_ (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((__U03c3___U2082_ (trace "X" (__)) (trace "X" (env)))))))))))))))))) (trace "X" (y))))) (trace "X" ((unsafeCoerce (trace "X" ((\__U03be_0 vars _ > (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((trace "X" ((unsafeCoerce (trace "X" (x_0)) (trace "X" (__U03be_0)) (trace "X" (vars)) (trace "X" (__))))))) (trace "X" ((\x > (trace "X" ((trace "X" (returnM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((ILeaf (trace "X" ((\_ env > (trace "X" (TCoerc (trace "X" (__U03ba_)) (trace "X" ((trace "X" ((__U03c3_ (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((__U03c3___U2081_ (trace "X" (__)) (trace "X" (env))))))) (trace "X" ((trace "X" ((__U03c3___U2082_ (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" ((ECoLam (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c3___U2082_)) (trace "X" (__U03c3_)) (trace "X" (__U03c3___U2081_)) (trace "X" (__U03be_0)) (trace "X" (y)) (trace "X" ((trace "X" ((ileaf (trace "X" (__U03c3___U2082_)) (trace "X" (x))))))))))))))))))))))))))))))))));
RLetRec __U0393_0 __U0394_0 lri x y t >
@@ 4520,19 +4600,19 @@ rule2expr eqdec_vv freshM h j r x_ =
INone > (trace "X" (false_rect));
ILeaf i x1 > (trace "X" ((trace "X" (false_rect (trace "X" (x1))))));
IBranch it1 it2 x1 x2 > (trace "X" ((trace "X" (eq_rect (trace "X" (y)) (trace "X" ((\_ > (trace "X" ((trace "X" (eq_rect (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (x)))))))) (trace "X" ((\x3 x4 > (trace "X" ((trace "X" (eq_rect_r (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (vars))))))) (trace "X" ((\_ > (trace "X" (ELetRec (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (t)) (trace "X" (x)) (trace "X" (__U03be_vars)) (trace "X" ((trace "X" ((letrec_helper (trace "X" (eqdec_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (t)) (trace "X" (__U03be_vars)) (trace "X" ((trace "X" ((update_xi (trace "X" (eqdec_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (t)) (trace "X" ((trace "X" ((leaves (trace "X" (__U03be_vars)))))))))))) (trace "X" ((trace "X" ((eq_rect_r (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x5 _ > (trace "X" ((trace "X" (unlev (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x5))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x5 > (trace "X" ((trace "X" (update_xi (trace "X" (eqdec_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (t)) (trace "X" ((trace "X" ((leaves (trace "X" (__U03be_vars))))))) (trace "X" ((trace "X" ((fst (trace "X" (x5)))))))))))))) (trace "X" (__U03be_vars)))))))))))) (trace "X" ((trace "X" ((eq_rect_r (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((update_xi (trace "X" (eqdec_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (t)) (trace "X" ((trace "X" ((leaves (trace "X" (__U03be_vars)))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (fst)) (trace "X" (__U03be_vars)))))))))))) (trace "X" ((trace "X" ((eq_rect_r (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' > (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (t))))))) (trace "X" (y))))))) (trace "X" ((trace "X" ((eq_rect (trace "X" (y)) (trace "X" (x3)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x5 _ > (trace "X" ((trace "X" (unlev (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x5))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' > (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (t))))))) (trace "X" (y))))))))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((update_xi (trace "X" (eqdec_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (t)) (trace "X" ((trace "X" ((leaves (trace "X" (__U03be_vars)))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (fst)) (trace "X" (__U03be_vars))))))))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x5 > (trace "X" ((trace "X" (update_xi (trace "X" (eqdec_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (t)) (trace "X" ((trace "X" ((leaves (trace "X" (__U03be_vars))))))) (trace "X" ((trace "X" ((fst (trace "X" (x5)))))))))))))) (trace "X" (__U03be_vars)))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x5 _ > (trace "X" ((trace "X" (unlev (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" ((trace "X" ((update_xi (trace "X" (eqdec_vv)) (trace "X" (__U0393_0)) (trace "X" (__U03be_0)) (trace "X" (t)) (trace "X" ((trace "X" ((leaves (trace "X" (__U03be_vars))))))) (trace "X" ((trace "X" ((fst (trace "X" (x5))))))))))))))))))) (trace "X" (__U03be_vars))))))))))))))))) (trace "X" ((trace "X" ((ileaf (trace "X" (x)) (trace "X" (x4)))))))))))) (trace "X" (lri)) (trace "X" (__))))))))) (trace "X" (it2))))))))) (trace "X" (it1)) (trace "X" (__)) (trace "X" (x1)) (trace "X" (x2))))))}))))))))))))))))))))))))))))))))));
 RCase __U0393_0 __U0394_0 lev tc __U03a3_ avars tbranches alts > (trace "X" (ILeaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTreeAndFlatten (trace "X" ((\x > (trace "X" ((trace "X" (pcb_freevars (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (lev)) (trace "X" (tbranches)) (trace "X" (avars)) (trace "X" ((trace "X" ((projT1 (trace "X" (x))))))) (trace "X" ((trace "X" ((projT2 (trace "X" (x)))))))))))))) (trace "X" (alts))))))) (trace "X" (__U03a3_))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (tbranches)))))))) (trace "X" (lev)))))
+ RCase __U0393_0 __U0394_0 lev tc __U03a3_ avars tbranches alts > (trace "X" (ILeaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTreeAndFlatten (trace "X" ((\x > (trace "X" ((trace "X" (snd (trace "X" (x))))))))) (trace "X" (alts))))))) (trace "X" (__U03a3_))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (tbranches)))))))) (trace "X" (lev)))))
(trace "X" ((unsafeCoerce (trace "X" ((\__U03be_0 vars _ >
(trace "X" (case (trace "X" (x_)) of {
INone > (trace "X" (false_rect));
ILeaf i x > (trace "X" ((trace "X" (false_rect (trace "X" (x))))));
IBranch it1 it2 x x0 >
(trace "X" (let {
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+ h0 = (trace "X" ((trace "X" (eq_rect (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x1 > (trace "X" ((trace "X" (pcb_judg (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (lev)) (trace "X" (tbranches)) (trace "X" (avars)) (trace "X" ((trace "X" ((fst (trace "X" (x1))))))) (trace "X" ((trace "X" ((snd (trace "X" (x1)))))))))))))) (trace "X" (alts))))))) (trace "X" ((\_ >
(trace "X" ((trace "X" (eq_rect (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((\_ > (trace "X" ((trace "X" (caseType (trace "X" (__U0393_0)) (trace "X" (tc)) (trace "X" (avars))))))))))))))) (trace "X" (lev))))))))))) (trace "X" ((\x1 x2 >
(trace "X" (let {x3 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((\_ > (trace "X" ((trace "X" (caseType (trace "X" (__U0393_0)) (trace "X" (tc)) (trace "X" (avars))))))))))))))) (trace "X" (lev))))) (trace "X" (x2))))))} in
(trace "X" (case (trace "X" (vars)) of {
T_Leaf o > (trace "X" (false_rect));
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+ T_Branch all_freevars1 all_freevars2 > (trace "X" (let {q = (trace "X" ((trace "X" (gather_branch_variables (trace "X" (eqdec_vv)) (trace "X" (freshM)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (tc)) (trace "X" (tbranches)) (trace "X" (avars)) (trace "X" (lev)) (trace "X" (alts)) (trace "X" (all_freevars1)) (trace "X" (x1))))))} in (trace "X" (let {alts_exprs' = (trace "X" ((trace "X" (itmap (trace "X" (alts)) (trace "X" ((\pcb alt_expr > (trace "X" ((trace "X" (case_helper (trace "X" (eqdec_vv)) (trace "X" (freshM)) (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (lev)) (trace "X" (tbranches)) (trace "X" (avars)) (trace "X" (__U03be_0)) (trace "X" (pcb)) (trace "X" (alt_expr))))))))) (trace "X" (q))))))} in (trace "X" (let {alts_exprs'0 = (trace "X" ((trace "X" (fix_indexing (trace "X" (alts)) (trace "X" (alts_exprs'))))))} in (trace "X" (let {alts_exprs'1 = (trace "X" ((trace "X" (unindex_tree (trace "X" ((trace "X" ((mapOptionTree (trace "X" (fst)) (trace "X" (alts))))))) (trace "X" (alts_exprs'0))))))} in (trace "X" (let {alts_exprs'2 = (trace "X" ((trace "X" (fix2 (trace "X" (freshM)) (trace "X" (alts_exprs'1))))))} in (trace "X" (let {alts_exprs'3 = (trace "X" ((trace "X" (treeM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" (alts_exprs'2))))))} in (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" (alts_exprs'3)) (trace "X" ((\y > (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((trace "X" ((x3 (trace "X" (__U03be_0)) (trace "X" (all_freevars2)) (trace "X" (__))))))) (trace "X" ((\x4 > (trace "X" ((trace "X" (returnM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((ILeaf (trace "X" (tbranches)) (trace "X" ((ECase (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03be_0)) (trace "X" (lev)) (trace "X" (tc)) (trace "X" (tbranches)) (trace "X" (avars)) (trace "X" ((trace "X" ((ileaf (trace "X" ((\_ > (trace "X" ((trace "X" (caseType (trace "X" (__U0393_0)) (trace "X" (tc)) (trace "X" (avars))))))))) (trace "X" (x4))))))) (trace "X" (y))))))))))))))))))))))))))))))))))))))}))))))) (trace "X" (it2))))))))) (trace "X" (it1)) (trace "X" (__))))))}
in
(trace "X" ((trace "X" (unsafeCoerce (trace "X" (h0)) (trace "X" (x)) (trace "X" (x0))))))))}))))))))))}))
@@ 4749,9 +4829,9 @@ skolemize_proof h c x =
(trace "X" (case (trace "X" (lev)) of {
([]) > (trace "X" (Nd_rule (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((\_ > (trace "X" ((trace "X" (haskTAll (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c3_))))))))))))))) (trace "X" (([])))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((\_ > (trace "X" ((trace "X" (substT (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (KindStar)) (trace "X" (__U03c3_)) (trace "X" (__U03c4_))))))))))))))) (trace "X" (([])))))))))))) (trace "X" ((SFlat (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((\_ > (trace "X" ((trace "X" (haskTAll (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c3_))))))))))))))) (trace "X" (([])))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((\_ > (trace "X" ((trace "X" (substT (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (KindStar)) (trace "X" (__U03c3_)) (trace "X" (__U03c4_))))))))))))))) (trace "X" (([])))))))))))) (trace "X" ((RAppT (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" (__U03ba_)) (trace "X" (__U03c3_)) (trace "X" (__U03c4_)) (trace "X" (([])))))))))));
(:) h1 lev0 > (trace "X" ((trace "X" (Prelude.error (trace "X" (((:) (trace "X" ('R')) (trace "X" (((:) (trace "X" ('A')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('T')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('d')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('h')) (trace "X" (((:) (trace "X" ('>')) (trace "X" (((:) (trace "X" ('0')) (trace "X" ([]))))))))))))))))))))))))))))))))))))))))))))))))))))))}));
 RAbsT __U0393_0 __U0394_0 __U03a3_ __U03ba_ __U03c3_ lev >
+ RAbsT __U0393_0 __U0394_0 __U03a3_ __U03ba_ __U03c3_ lev n >
(trace "X" (case (trace "X" (lev)) of {
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+ ([]) > (trace "X" (Nd_rule (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" ((trace "X" ((list_ins (trace "X" (n)) (trace "X" (__U03ba_)) (trace "X" (__U0393_0))))))) (trace "X" ((trace "X" ((weakCE_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)) (trace "X" (__U0394_0))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((weakLT_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)) (trace "X" (KindStar))))))) (trace "X" (__U03a3_))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((\_ > (trace "X" ((trace "X" (haskTApp (trace "X" ((trace "X" ((list_ins (trace "X" (n)) (trace "X" (__U03ba_)) (trace "X" (__U0393_0))))))) (trace "X" (__U03ba_)) (trace "X" ((\_ > (trace "X" ((trace "X" (weakF_ (trace "X" (__U0393_0)) (trace "X" (n)) (trace "X" (__U03ba_)) (trace "X" (KindStar)) (trace "X" (__U03c3_))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (freshHaskTyVar_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)))))))))))))))))))))) (trace "X" (([])))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((\_ > (trace "X" ((trace "X" (haskTAll (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c3_))))))))))))))) (trace "X" (([])))))))))))) (trace "X" ((SFlat (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" ((trace "X" ((list_ins (trace "X" (n)) (trace "X" (__U03ba_)) (trace "X" (__U0393_0))))))) (trace "X" ((trace "X" ((weakCE_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)) (trace "X" (__U0394_0))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((weakLT_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)) (trace "X" (KindStar))))))) (trace "X" (__U03a3_))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((\_ > (trace "X" ((trace "X" (haskTApp (trace "X" ((trace "X" ((list_ins (trace "X" (n)) (trace "X" (__U03ba_)) (trace "X" (__U0393_0))))))) (trace "X" (__U03ba_)) (trace "X" ((\_ > (trace "X" ((trace "X" (weakF_ (trace "X" (__U0393_0)) (trace "X" (n)) (trace "X" (__U03ba_)) (trace "X" (KindStar)) (trace "X" (__U03c3_))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (freshHaskTyVar_ (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (n)))))))))))))))))))))) (trace "X" (([])))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((\_ > (trace "X" ((trace "X" (haskTAll (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c3_))))))))))))))) (trace "X" (([])))))))))))) (trace "X" ((RAbsT (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" (__U03ba_)) (trace "X" (__U03c3_)) (trace "X" (([]))) (trace "X" (n))))))))));
(:) h1 lev0 > (trace "X" ((trace "X" (Prelude.error (trace "X" (((:) (trace "X" ('R')) (trace "X" (((:) (trace "X" ('A')) (trace "X" (((:) (trace "X" ('b')) (trace "X" (((:) (trace "X" ('s')) (trace "X" (((:) (trace "X" ('T')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('d')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('h')) (trace "X" (((:) (trace "X" ('>')) (trace "X" (((:) (trace "X" ('0')) (trace "X" ([]))))))))))))))))))))))))))))))))))))))))))))))))))))))}));
RAppCo __U0393_0 __U0394_0 __U03a3_ __U03ba_ __U03c3___U2081_ __U03c3___U2082_ __U03c3_ lev >
(trace "X" (case (trace "X" (lev)) of {
@@ 4774,7 +4854,10 @@ skolemize_proof h c x =
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+ RCase __U0393_0 __U0394_0 lev tc __U03a3_ avars tbranches alts >
+ (trace "X" (case (trace "X" (lev)) of {
+ ([]) > (trace "X" (Nd_rule (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (skolemize_judgment)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x1 > (trace "X" ((trace "X" (pcb_judg (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (([]))) (trace "X" (tbranches)) (trace "X" (avars)) (trace "X" ((trace "X" ((fst (trace "X" (x1))))))) (trace "X" ((trace "X" ((snd (trace "X" (x1)))))))))))))) (trace "X" (alts)))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((\_ > (trace "X" ((trace "X" (caseType (trace "X" (__U0393_0)) (trace "X" (tc)) (trace "X" (avars))))))))))))))) (trace "X" (([]))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTreeAndFlatten (trace "X" ((\x1 > (trace "X" ((trace "X" (snd (trace "X" (x1))))))))) (trace "X" (alts))))))) (trace "X" (__U03a3_))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (tbranches)))))))) (trace "X" (([])))))))))))) (trace "X" ((SFlat (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (skolemize_judgment)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x1 > (trace "X" ((trace "X" (pcb_judg (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (([]))) (trace "X" (tbranches)) (trace "X" (avars)) (trace "X" ((trace "X" ((fst (trace "X" (x1))))))) (trace "X" ((trace "X" ((snd (trace "X" (x1)))))))))))))) (trace "X" (alts)))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((\_ > (trace "X" ((trace "X" (caseType (trace "X" (__U0393_0)) (trace "X" (tc)) (trace "X" (avars))))))))))))))) (trace "X" (([]))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTreeAndFlatten (trace "X" ((\x1 > (trace "X" ((trace "X" (snd (trace "X" (x1))))))))) (trace "X" (alts))))))) (trace "X" (__U03a3_))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (tbranches)))))))) (trace "X" (([])))))))))))) (trace "X" ((trace "X" ((eq_rect (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x1 > (trace "X" ((trace "X" (skolemize_judgment (trace "X" ((trace "X" ((pcb_judg (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (([]))) (trace "X" (tbranches)) (trace "X" (avars)) (trace "X" ((trace "X" ((fst (trace "X" (x1))))))) (trace "X" ((trace "X" ((snd (trace "X" (x1))))))))))))))))))) (trace "X" (alts))))))) (trace "X" ((trace "X" ((eq_rect_r (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x1 > (trace "X" ((trace "X" (pcb_judg (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (([]))) (trace "X" (tbranches)) (trace "X" (avars)) (trace "X" ((trace "X" ((fst (trace "X" (x1))))))) (trace "X" ((trace "X" ((snd (trace "X" (x1)))))))))))))) (trace "X" (alts))))))) (trace "X" ((RCase (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (([]))) (trace "X" (tc)) (trace "X" (__U03a3_)) (trace "X" (avars)) (trace "X" (tbranches)) (trace "X" (alts))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x1 > (trace "X" ((trace "X" (skolemize_judgment (trace "X" ((trace "X" ((pcb_judg (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (([]))) (trace "X" (tbranches)) (trace "X" (avars)) (trace "X" ((trace "X" ((fst (trace "X" (x1))))))) (trace "X" ((trace "X" ((snd (trace "X" (x1))))))))))))))))))) (trace "X" (alts)))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (skolemize_judgment)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x1 > (trace "X" ((trace "X" (pcb_judg (trace "X" (tc)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (([]))) (trace "X" (tbranches)) (trace "X" (avars)) (trace "X" ((trace "X" ((fst (trace "X" (x1))))))) (trace "X" ((trace "X" ((snd (trace "X" (x1)))))))))))))) (trace "X" (alts))))))))))))))))))))));
+ (:) h1 lev0 > (trace "X" ((trace "X" (Prelude.error (trace "X" (((:) (trace "X" ('c')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" ('s')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('d')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('h')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('>')) (trace "X" (((:) (trace "X" ('0')) (trace "X" ([]))))))))))))))))))))))))))))))))))))))))))))))))))))))}))}))))) (trace "X" (h)) (trace "X" (c)) (trace "X" (x))))))
v2t :: TypeEnv > HaskTyVar > (InstantiatedTypeEnv a1) > RawHaskType a1
v2t __U0393_0 ec ite =
@@ 4860,87 +4943,92 @@ flatten_judgment unitTy prodTy gaTy j =
(:) ec lev' > (trace "X" (MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((flatten_leveled_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0))))))) (trace "X" ((trace "X" ((drop_lev (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev'))))) (trace "X" (ant)))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" ((\_ > (trace "X" ((trace "X" (v2t (trace "X" (__U0393_0)) (trace "X" (ec))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x _ > (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" ((\_ > (trace "X" ((trace "X" (unlev (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x)))))))))))))))) (trace "X" ((trace "X" ((take_lev (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev'))))) (trace "X" (ant)))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x _ > (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x))))))))) (trace "X" (suc)))))))))))))))))))) (trace "X" (([])))))}))}))
data Garrow =
 Build_garrow (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > Literal.Literal > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > HaskType > HaskType > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (() > (InstantiatedTypeEnv ()) > RawHaskType ()) > (() > (InstantiatedTypeEnv ()) > RawHaskType ()) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe LeveledHaskType)) > ND Judg Rule)
+ Build_garrow (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > Literal.Literal > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > HaskType > HaskType > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (() > (InstantiatedTypeEnv ()) > RawHaskType ()) > (() > (InstantiatedTypeEnv ()) > RawHaskType ()) > ND Judg Rule) (TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe LeveledHaskType)) > ND Judg Rule)
ga_id :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule
ga_id unitTy prodTy gaTy garrow =
(trace "X" (case (trace "X" (garrow)) of {
 Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa > (trace "X" (ga_id0))}))
+ Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa0 > (trace "X" (ga_id0))}))
ga_cancelr :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule
ga_cancelr unitTy prodTy gaTy garrow =
(trace "X" (case (trace "X" (garrow)) of {
 Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa > (trace "X" (ga_cancelr0))}))
+ Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa0 > (trace "X" (ga_cancelr0))}))
ga_cancell :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule
ga_cancell unitTy prodTy gaTy garrow =
(trace "X" (case (trace "X" (garrow)) of {
 Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa > (trace "X" (ga_cancell0))}))
+ Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa0 > (trace "X" (ga_cancell0))}))
ga_uncancelr :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule
ga_uncancelr unitTy prodTy gaTy garrow =
(trace "X" (case (trace "X" (garrow)) of {
 Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa > (trace "X" (ga_uncancelr0))}))
+ Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa0 > (trace "X" (ga_uncancelr0))}))
ga_uncancell :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule
ga_uncancell unitTy prodTy gaTy garrow =
(trace "X" (case (trace "X" (garrow)) of {
 Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa > (trace "X" (ga_uncancell0))}))
+ Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa0 > (trace "X" (ga_uncancell0))}))
ga_assoc :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule
ga_assoc unitTy prodTy gaTy garrow =
(trace "X" (case (trace "X" (garrow)) of {
 Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa > (trace "X" (ga_assoc0))}))
+ Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa0 > (trace "X" (ga_assoc0))}))
ga_unassoc :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule
ga_unassoc unitTy prodTy gaTy garrow =
(trace "X" (case (trace "X" (garrow)) of {
 Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa > (trace "X" (ga_unassoc0))}))
+ Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa0 > (trace "X" (ga_unassoc0))}))
ga_swap :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule
ga_swap unitTy prodTy gaTy garrow =
(trace "X" (case (trace "X" (garrow)) of {
 Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa > (trace "X" (ga_swap0))}))
+ Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa0 > (trace "X" (ga_swap0))}))
ga_drop :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule
ga_drop unitTy prodTy gaTy garrow =
(trace "X" (case (trace "X" (garrow)) of {
 Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa > (trace "X" (ga_drop0))}))
+ Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa0 > (trace "X" (ga_drop0))}))
ga_copy :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule
ga_copy unitTy prodTy gaTy garrow =
(trace "X" (case (trace "X" (garrow)) of {
 Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa > (trace "X" (ga_copy0))}))
+ Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa0 > (trace "X" (ga_copy0))}))
ga_first :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule
ga_first unitTy prodTy gaTy garrow =
(trace "X" (case (trace "X" (garrow)) of {
 Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa > (trace "X" (ga_first0))}))
+ Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa0 > (trace "X" (ga_first0))}))
ga_second :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule
ga_second unitTy prodTy gaTy garrow =
(trace "X" (case (trace "X" (garrow)) of {
 Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa > (trace "X" (ga_second0))}))
+ Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa0 > (trace "X" (ga_second0))}))
ga_lit :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > HaskLevel > Literal.Literal > ND Judg Rule
ga_lit unitTy prodTy gaTy garrow =
(trace "X" (case (trace "X" (garrow)) of {
 Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa > (trace "X" (ga_lit0))}))
+ Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa0 > (trace "X" (ga_lit0))}))
ga_curry :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > HaskType > HaskType > ND Judg Rule
ga_curry unitTy prodTy gaTy garrow =
(trace "X" (case (trace "X" (garrow)) of {
 Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa > (trace "X" (ga_curry0))}))
+ Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa0 > (trace "X" (ga_curry0))}))
ga_loopl :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule
ga_loopl unitTy prodTy gaTy garrow =
(trace "X" (case (trace "X" (garrow)) of {
 Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa > (trace "X" (ga_loopl0))}))
+ Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa0 > (trace "X" (ga_loopl0))}))
ga_comp :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > ND Judg Rule
ga_comp unitTy prodTy gaTy garrow =
(trace "X" (case (trace "X" (garrow)) of {
 Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa > (trace "X" (ga_comp0))}))
+ Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa0 > (trace "X" (ga_comp0))}))
+
+ga_kappa :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > Garrow > TypeEnv > CoercionEnv > HaskType > HaskLevel > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe HaskType)) > (Tree (Prelude.Maybe LeveledHaskType)) > ND Judg Rule
+ga_kappa unitTy prodTy gaTy garrow =
+ (trace "X" (case (trace "X" (garrow)) of {
+ Build_garrow ga_id0 ga_cancelr0 ga_cancell0 ga_uncancelr0 ga_uncancell0 ga_assoc0 ga_unassoc0 ga_swap0 ga_drop0 ga_copy0 ga_first0 ga_second0 ga_lit0 ga_curry0 ga_loopl0 ga_loopr ga_comp0 ga_apply ga_kappa0 > (trace "X" (ga_kappa0))}))
boost :: TypeEnv > CoercionEnv > (Tree (Prelude.Maybe LeveledHaskType)) > HaskType > HaskType > HaskLevel > (ND Judg Rule) > ND Judg Rule
boost __U0393_0 __U0394_0 ant x y lev x0 =
@@ 6262,7 +6350,20 @@ arrange_esc unitTy prodTy gaTy __U0393_0 __U0394_0 ec succ t =
(trace "X" (case (trace "X" (s)) of {
Prelude.Left s0 > (trace "X" (case (trace "X" (s0)) of {
ExistT x _ > (trace "X" (Nd_comp (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((flatten_leveled_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0))))))) (trace "X" (q'))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((flatten_leveled_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0))))))) (trace "X" ((trace "X" ((dropT (trace "X" (succ)) (trace "X" ((trace "X" ((mkFlags (trace "X" ((trace "X" ((liftBoolFunc (trace "X" (Prelude.False)) (trace "X" ((\x0 > (trace "X" ((trace "X" (bnot (trace "X" ((trace "X" ((levelMatch (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (([])))))) (trace "X" (x0))))))))))))))))))) (trace "X" (succ)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (t)))))))) (trace "X" (([])))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((flatten_leveled_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0))))))) (trace "X" (q'))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" ((\_ > (trace "X" ((trace "X" (v2t (trace "X" (__U0393_0)) (trace "X" (ec))))))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x0 _ > (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" ((\_ > (trace "X" ((trace "X" (unlev (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x0)))))))))))))))) (trace "X" ((trace "X" ((take_lev (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (([])))))) (trace "X" (succ))))))))))))))))))) (trace "X" (([]))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (t)))))))) (trace "X" (([])))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" ((\_ > (trace "X" ((trace "X" (v2t (trace "X" (__U0393_0)) (trace "X" (ec))))))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x0 _ > (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" ((\_ > (trace "X" ((trace "X" (unlev (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x0)))))))))))))))) (trace "X" ((trace "X" ((take_lev (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (([])))))) (trace "X" (succ))))))))))))))))))) (trace "X" (([])))))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((flatten_leveled_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0))))))) (trace "X" (q')))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (t)))))))) (trace "X" (([])))))))))))) (trace "X" ((Nd_comp (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((flatten_leveled_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0))))))) (trace "X" (q'))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((flatten_leveled_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0))))))) (trace "X" ((trace "X" ((dropT (trace "X" (succ)) (trace "X" ((trace "X" ((mkFlags (trace "X" ((trace "X" ((liftBoolFunc (trace "X" (Prelude.False)) (trace "X" ((\x0 > (trace "X" ((trace "X" (bnot (trace "X" ((trace "X" ((levelMatch (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (([])))))) (trace "X" (x0))))))))))))))))))) (trace "X" (succ)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (t)))))))) (trace "X" (([])))))))))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((flatten_leveled_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0))))))) (trace "X" (q'))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (t)))))))) (trace "X" (([])))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (t)) (trace "X" (([])))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" ((\_ > (trace "X" ((trace "X" (v2t (trace "X" (__U0393_0)) (trace "X" (ec))))))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x0 _ > (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" ((\_ > (trace "X" ((trace "X" (unlev (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x0)))))))))))))))) (trace "X" ((trace "X" ((take_lev (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (([])))))) (trace "X" (succ))))))))))))))))))) (trace "X" (([]))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (t)))))))) (trace "X" (([]))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((flatten_leveled_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0))))))) (trace "X" (q'))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" ((\_ > (trace "X" ((trace "X" (ga_mk (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" ((\_ > (trace "X" ((trace "X" (v2t (trace "X" (__U0393_0)) (trace "X" (ec))))))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x0 _ > (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" ((\_ > (trace "X" ((trace "X" (unlev (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x0)))))))))))))))) (trace "X" ((trace "X" ((take_lev (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (([])))))) (trace "X" (succ))))))))))))))))))) (trace "X" (([]))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (t)))))))) (trace "X" (([])))))))))))) (trace "X" ((Nd_comp (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((flatten_leveled_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0))))))) (trace "X" (q'))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((flatten_leveled_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0))))))) (trace "X" ((trace "X" ((dropT (trace "X" (succ)) (trace "X" ((trace "X" ((mkFlags (trace "X" ((trace "X" ((liftBoolFunc (trace "X" (Prelude.False)) (trace "X" ((\x0 > (trace "X" ((trace "X" (bnot (trace "X" ((trace "X" ((levelMatch (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (([])))))) (trace "X" (x0))))))))))))))))))) (trace "X" (succ)))))))))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (t)))))))) (trace "X" (([])))))))))))) (trace "X" ((T_Branch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((flatten_leveled_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0))))))) (trace "X" (q'))))))) (trace "X" ((trace "X" ((mapOptionTree 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tree_of_nothing :: (() > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > (() > (RawHaskType ()) > (RawHaskType ()) > (RawHaskType ()) > RawHaskType ()) > TypeEnv > HaskTyVar > (Tree (Prelude.Maybe HaskType)) > Arrange LeveledHaskType
tree_of_nothing unitTy prodTy gaTy __U0393_0 ec t =
@@ 6362,9 +6463,9 @@ flatten_skolemized_proof unitTy prodTy gaTy gar h c x =
(trace "X" (case (trace "X" (lev)) of {
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(:) h2 lev0 > (trace "X" ((trace "X" (Prelude.error (trace "X" (((:) (trace "X" ('f')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('u')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('d')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('y')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('l')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('c')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('l')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('v')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('l')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('>')) (trace "X" (((:) (trace "X" ('0')) (trace "X" (((:) (trace "X" (';')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('h')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('s')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('s')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('s')) (trace "X" (((:) (trace "X" ('u')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('r')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('d')) (trace "X" ([])))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))}));
 RAbsT __U0393_0 __U0394_0 __U03a3_ __U03ba_ __U03c3_ lev >
+ RAbsT __U0393_0 __U0394_0 __U03a3_ __U03ba_ __U03c3_ lev n >
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RAppCo __U0393_0 __U0394_0 __U03a3_ __U03ba_ __U03c3___U2081_ __U03c3___U2082_ __U03c3_ lev >
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+ RCase __U0393_0 __U0394_0 lev tc __U03a3_ avars tbranches alts >
+ (trace "X" (case (trace "X" (lev)) of {
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+ (:) h2 lev0 > (trace "X" ((trace "X" (Prelude.error (trace "X" (((:) (trace "X" ('c')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" ('s')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('d')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('h')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('>')) (trace "X" (((:) (trace "X" ('0')) (trace "X" ([]))))))))))))))))))))))))))))))))))))))))))))))))))))))}))}));
SBrak __U0393_0 __U0394_0 t ec succ lev >
(trace "X" (case (trace "X" (lev)) of {
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@@ 6395,7 +6499,7 @@ flatten_skolemized_proof unitTy prodTy gaTy gar h c x =
(trace "X" (case (trace "X" (q')) of {
Prelude.Left s > (trace "X" (case (trace "X" (s)) of {
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flatten_proof :: (Tree (Prelude.Maybe Judg)) > (Tree (Prelude.Maybe Judg)) > (ND Judg Rule) > ND Judg Rule
@@ 6507,6 +6611,10 @@ fToC2 :: TypeEnv > CoercionEnv > (() > (InstantiatedTypeEnv ()) > RawHaskTyp
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(trace "X" ((Prelude.Just (trace "X" (s)))))))) (trace "X" (lev)) (trace "X" ((AExch (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (a1)) (trace "X" (lev))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (a2)) (trace "X" (lev)))))))))))))))))))))))))))))))
+fToCx :: TypeEnv > CoercionEnv > (() > (InstantiatedTypeEnv ()) > RawHaskType ()) > (() > (InstantiatedTypeEnv ()) > RawHaskType ()) > (() > (InstantiatedTypeEnv ()) > RawHaskType ()) > HaskLevel > (Tree (Prelude.Maybe LeveledHaskType)) > (ND Judg Rule) > ND Judg Rule
+fToCx __U0393_0 __U0394_0 a1 a2 a3 l __U03a3_ pf =
+ (trace "X" (Nd_comp (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (a1)) (trace "X" (l)))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (a2)))))))) (trace "X" (l))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((\_ env > (trace "X" (TApp (trace "X" (KindStar)) (trace "X" (KindStar)) (trace "X" ((TApp (trace "X" ((KindArrow (trace "X" (KindStar)) (trace "X" (KindStar))))) (trace "X" (KindStar)) (trace "X" (TArrow)) (trace "X" ((trace "X" ((a1 (trace "X" (__)) (trace "X" (env)))))))))) (trace "X" ((trace "X" ((a2 (trace "X" (__)) (trace "X" (env)))))))))))))))))) (trace "X" (l))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (a3)))))))) (trace "X" (l))))))))))) (trace "X" ((Nd_rule (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkLeveledHaskType (trace "X" (a1)) (trace "X" (l)))))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (a2)))))))) (trace "X" (l))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((\_ env > (trace "X" (TApp (trace "X" (KindStar)) (trace "X" (KindStar)) (trace "X" ((TApp (trace "X" ((KindArrow (trace "X" (KindStar)) (trace "X" (KindStar))))) (trace "X" (KindStar)) (trace "X" (TArrow)) (trace "X" ((trace "X" ((a1 (trace "X" (__)) (trace "X" (env)))))))))) (trace "X" ((trace "X" ((a2 (trace "X" (__)) (trace "X" (env)))))))))))))))))) (trace "X" (l))))))))))) (trace "X" ((RLam (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" (a1)) (trace "X" (a2)) (trace "X" (l)))))))) (trace "X" ((let {pf' = (trace "X" ((trace "X" (fToC1 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((\_ env > (trace "X" (TApp (trace "X" (KindStar)) (trace "X" (KindStar)) (trace "X" ((TApp (trace "X" ((KindArrow (trace "X" (KindStar)) (trace "X" (KindStar))))) (trace "X" (KindStar)) (trace "X" (TArrow)) (trace "X" ((trace "X" ((a1 (trace "X" (__)) (trace "X" (env)))))))))) (trace "X" ((trace "X" ((a2 (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (a3)) (trace "X" (l)) (trace "X" (pf))))))} in (trace "X" ((trace "X" (boost (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (__U03a3_)) (trace "X" ((\_ env > (trace "X" (TApp (trace "X" (KindStar)) (trace "X" (KindStar)) (trace "X" ((TApp (trace "X" ((KindArrow (trace "X" (KindStar)) (trace "X" (KindStar))))) (trace "X" (KindStar)) (trace "X" (TArrow)) (trace "X" ((trace "X" ((a1 (trace "X" (__)) (trace "X" (env)))))))))) (trace "X" ((trace "X" ((a2 (trace "X" (__)) (trace "X" (env)))))))))))) (trace "X" (a3)) (trace "X" (l)) (trace "X" (pf')))))))))))
+
ga_unit :: TyCon.TyCon > (RawHaskType a1) > RawHaskType a1
ga_unit hetmet_PGArrow_unit_TyCon ec =
(trace "X" (TyFunApp (trace "X" (hetmet_PGArrow_unit_TyCon)) (trace "X" (((:) (trace "X" (eCKind)) (trace "X" (([])))))) (trace "X" (KindStar)) (trace "X" ((TyFunApp_cons (trace "X" (eCKind)) (trace "X" (([]))) (trace "X" (ec)) (trace "X" (TyFunApp_nil)))))))
@@ 6599,9 +6707,9 @@ gat :: TyCon.TyCon > TyCon.TyCon > TypeEnv > HaskType > (Tree (Prelude.Maybe
gat hetmet_PGArrow_unit_TyCon hetmet_PGArrow_tensor_TyCon __U0393_0 ec x x0 =
(trace "X" ((trace "X" (ga_mk_tree (trace "X" ((\_ > (trace "X" ((trace "X" (ga_unit (trace "X" (hetmet_PGArrow_unit_TyCon))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (ga_prod (trace "X" (hetmet_PGArrow_tensor_TyCon))))))))) (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (x)) (trace "X" (x0))))))
my_ga :: TyCon.TyCon > TyCon.TyCon > TyCon.TyCon > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Garrow
my_ga hetmet_PGArrowTyCon hetmet_PGArrow_unit_TyCon hetmet_PGArrow_tensor_TyCon hetmet_pga_id hetmet_pga_comp hetmet_pga_first hetmet_pga_second hetmet_pga_cancell hetmet_pga_cancelr hetmet_pga_uncancell hetmet_pga_uncancelr hetmet_pga_assoc hetmet_pga_unassoc hetmet_pga_copy hetmet_pga_drop hetmet_pga_swap hetmet_pga_loopl hetmet_pga_loopr =
 (trace "X" (Build_garrow (trace "X" ((\__U0393_0 __U0394_0 ec l a > (trace "X" ((trace "X" (mkGlob2 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (l)) (trace "X" (eCKind)) (trace "X" (KindStar)) (trace "X" (hetmet_pga_id)) (trace "X" ((\ec0 a0 _ > (trace "X" ((trace "X" (ga_type' (trace "X" (hetmet_PGArrowTyCon)) (trace "X" (__U0393_0)) (trace "X" (ec0)) (trace "X" (a0)) (trace "X" (a0))))))))) (trace "X" (ec)) (trace "X" ((\_ > (trace "X" ((trace "X" (gat (trace "X" (hetmet_PGArrow_unit_TyCon)) (trace "X" (hetmet_PGArrow_tensor_TyCon)) (trace "X" (__U0393_0)) (trace "X" (ec)) (trace "X" (a)))))))))))))))) (trace "X" ((\__U0393_0 __U0394_0 ec l a > (trace "X" ((trace "X" (mkGlob2 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (l)) (trace "X" (eCKind)) (trace "X" (KindStar)) (trace "X" (hetmet_pga_cancelr)) (trace "X" ((\ec0 a0 _ > (trace "X" ((trace "X" (ga_type' (trace "X" (hetmet_PGArrowTyCon)) (trace "X" (__U0393_0)) (trace "X" (ec0)) (trace "X" ((\_ > 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+my_ga :: TyCon.TyCon > TyCon.TyCon > TyCon.TyCon > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Garrow
+my_ga hetmet_PGArrowTyCon hetmet_PGArrow_unit_TyCon hetmet_PGArrow_tensor_TyCon hetmet_pga_id hetmet_pga_comp hetmet_pga_first hetmet_pga_second hetmet_pga_cancell hetmet_pga_cancelr hetmet_pga_uncancell hetmet_pga_uncancelr hetmet_pga_assoc hetmet_pga_unassoc hetmet_pga_copy hetmet_pga_drop hetmet_pga_swap hetmet_pga_loopl hetmet_pga_loopr hetmet_pga_kappa =
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hetmet_brak' :: Var.Var > WeakExprVar0
hetmet_brak' hetmet_brak =
@@ 6611,8 +6719,8 @@ hetmet_esc' :: Var.Var > WeakExprVar0
hetmet_esc' hetmet_esc =
(trace "X" ((trace "X" (coreVarToWeakExprVarOrError (trace "X" (hetmet_esc))))))
coreToCoreExpr' :: Prelude.Bool > Prelude.Bool > Var.Var > Var.Var > UniqSupply.UniqSupply > TyCon.TyCon > TyCon.TyCon > TyCon.TyCon > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > (CoreSyn.Expr Var.Var) > OrError (CoreSyn.Expr Var.Var)
coreToCoreExpr' do_flatten do_skolemize hetmet_brak hetmet_esc uniqueSupply hetmet_PGArrowTyCon hetmet_PGArrow_unit_TyCon hetmet_PGArrow_tensor_TyCon hetmet_pga_id hetmet_pga_comp hetmet_pga_first hetmet_pga_second hetmet_pga_cancell hetmet_pga_cancelr hetmet_pga_uncancell hetmet_pga_uncancelr hetmet_pga_assoc hetmet_pga_unassoc hetmet_pga_copy hetmet_pga_drop hetmet_pga_swap hetmet_pga_loopl hetmet_pga_loopr cex =
+coreToCoreExpr' :: Prelude.Bool > Prelude.Bool > Var.Var > Var.Var > UniqSupply.UniqSupply > TyCon.TyCon > TyCon.TyCon > TyCon.TyCon > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > (CoreSyn.Expr Var.Var) > OrError (CoreSyn.Expr Var.Var)
+coreToCoreExpr' do_flatten do_skolemize hetmet_brak hetmet_esc uniqueSupply hetmet_PGArrowTyCon hetmet_PGArrow_unit_TyCon hetmet_PGArrow_tensor_TyCon hetmet_pga_id hetmet_pga_comp hetmet_pga_first hetmet_pga_second hetmet_pga_cancell hetmet_pga_cancelr hetmet_pga_uncancell hetmet_pga_uncancelr hetmet_pga_assoc hetmet_pga_unassoc hetmet_pga_copy hetmet_pga_drop hetmet_pga_swap hetmet_pga_loopl hetmet_pga_loopr hetmet_pga_kappa cex =
(trace "X" ((trace "X" (addErrorMessage (trace "X" ((trace "X" ((concatenate (trace "X" (concatenableString)) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('u')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('C')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('r')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('S')) (trace "X" (((:) (trace "X" ('y')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" (':')) (trace "X" (((:) (trace "X" (' ')) (trace "X" ([]))))))))))))))))))))))))))))))))))))))))))))))) (trace "X" ((trace "X" ((toString (trace "X" (coreExprToString)) (trace "X" (cex))))))))))))
(trace "X" ((trace "X" ((addErrorMessage (trace "X" ((trace "X" ((concatenate (trace "X" (concatenableString)) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('u')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('C')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('r')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('T')) (trace "X" (((:) (trace "X" ('y')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" (':')) (trace "X" (((:) (trace "X" (' ')) (trace "X" ([])))))))))))))))))))))))))))))))))))))))))))))))))) (trace "X" ((trace "X" ((toString (trace "X" (coreTypeToString)) (trace "X" ((trace "X" ((CoreUtils.exprType (trace "X" (cex)))))))))))))))))
(trace "X" ((trace "X" ((orErrorBind (trace "X" ((trace "X" ((coreExprToWeakExpr (trace "X" (cex))))))) (trace "X" ((\we >
@@ 6624,30 +6732,30 @@ coreToCoreExpr' do_flatten do_skolemize hetmet_brak hetmet_esc uniqueSupply hetm
(trace "X" ((trace "X" (orErrorBind (trace "X" ((trace "X" ((weakExprToStrongExpr (trace "X" (__U0393_)) (trace "X" (__U0394_)) (trace "X" (__U03c6_)) (trace "X" (__U03c8_)) (trace "X" (__U03be_)) (trace "X" ((\x > (trace "X" (Prelude.True))))) (trace "X" (__U03c4_)) (trace "X" (([]))) (trace "X" (we))))))) (trace "X" ((\e >
(trace "X" ((trace "X" (addErrorMessage (trace "X" (((:) (trace "X" ('H')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" ('s')) (trace "X" (((:) (trace "X" ('k')) (trace "X" (((:) (trace "X" ('S')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('r')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('g')) (trace "X" (((:) (trace "X" ('.')) (trace "X" (((:) (trace "X" ('.')) (trace "X" (((:) (trace "X" ('.')) (trace "X" ([])))))))))))))))))))))))))))))))))))))))))
(trace "X" ((case (trace "X" (do_skolemize)) of {
 Prelude.True > (trace "X" (let {haskProof = (trace "X" ((trace "X" (skolemize_and_flatten_proof (trace "X" ((\_ > (trace "X" ((trace "X" (ga_unit (trace "X" (hetmet_PGArrow_unit_TyCon))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (ga_prod (trace "X" (hetmet_PGArrow_tensor_TyCon))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (ga_type (trace "X" (hetmet_PGArrowTyCon))))))))) (trace "X" ((trace "X" ((my_ga (trace "X" (hetmet_PGArrowTyCon)) (trace "X" (hetmet_PGArrow_unit_TyCon)) (trace "X" (hetmet_PGArrow_tensor_TyCon)) (trace "X" (hetmet_pga_id)) (trace "X" (hetmet_pga_comp)) (trace "X" (hetmet_pga_first)) (trace "X" (hetmet_pga_second)) (trace "X" (hetmet_pga_cancell)) (trace "X" (hetmet_pga_cancelr)) (trace "X" (hetmet_pga_uncancell)) (trace "X" (hetmet_pga_uncancelr)) (trace "X" (hetmet_pga_assoc)) (trace "X" (hetmet_pga_unassoc)) (trace "X" (hetmet_pga_copy)) (trace "X" (hetmet_pga_drop)) (trace "X" (hetmet_pga_swap)) (trace "X" (hetmet_pga_loopl)) (trace "X" (hetmet_pga_loopr))))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_)) (trace "X" (__U0394_)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (coreVarEqDecidable)) (trace "X" (__U0393_)) (trace "X" (__U0394_)) (trace "X" (__U03be_)) (trace "X" (__U03c4_)) (trace "X" (([]))) (trace "X" (e)))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (__U03c4_)))))))) (trace "X" (([])))))))))))) (trace "X" ((trace "X" ((expr2proof (trace "X" (coreVarEqDecidable)) (trace "X" (__U0393_)) (trace "X" (__U0394_)) (trace "X" (__U03be_)) (trace "X" (__U03c4_)) (trace "X" (([]))) (trace "X" (e)))))))))))} in (trace "X" ((trace "X" (orErrorBind (trace "X" ((OK (trace "X" ((trace "X" ((unsafeCoerce (trace "X" (proof2expr)) (trace "X" (eqDecidableNat)) (trace "X" (freshNat)) (trace "X" (__U0393_)) (trace "X" (__U0394_)) (trace "X" ((\_ > (trace "X" ((trace "X" (flatten_type (trace "X" ((\_ > (trace "X" ((trace "X" (ga_unit (trace "X" (hetmet_PGArrow_unit_TyCon))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (ga_prod (trace "X" (hetmet_PGArrow_tensor_TyCon))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (ga_type (trace "X" (hetmet_PGArrowTyCon))))))))) (trace "X" (__U0393_)) (trace "X" (KindStar)) (trace "X" (__U03c4_))))))))) (trace "X" (([]))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((flatten_leveled_type (trace "X" ((\_ > (trace "X" ((trace "X" (ga_unit (trace "X" (hetmet_PGArrow_unit_TyCon))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (ga_prod (trace "X" (hetmet_PGArrow_tensor_TyCon))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (ga_type (trace "X" (hetmet_PGArrowTyCon))))))))) (trace "X" (__U0393_))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (coreVarEqDecidable)) (trace "X" (__U0393_)) (trace "X" (__U0394_)) (trace "X" (__U03be_)) (trace "X" (__U03c4_)) (trace "X" (([]))) (trace "X" (e))))))))))))))))) (trace "X" ((\x > (trace "X" ((trace "X" (Prelude.error (trace "X" (((:) (trace "X" ('u')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('b')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('u')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('d')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('u')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('q')) (trace "X" (((:) (trace "X" ('u')) (trace "X" (((:) (trace "X" ('e')) (trace "X" ([]))))))))))))))))))))))))))))))))))))))))))))))))))) (trace "X" (natToStringInstance)) (trace "X" (haskProof)) (trace "X" (O)))))))))) (trace "X" ((\e' > (trace "X" ((trace "X" (orErrorBind (trace "X" ((trace "X" ((snd (trace "X" (e'))))))) (trace "X" ((\e'' > (trace "X" ((trace "X" (orErrorBind (trace "X" ((trace "X" ((strongExprToWeakExpr (trace "X" ((trace "X" ((hetmet_brak' (trace "X" (hetmet_brak))))))) (trace "X" ((trace "X" ((hetmet_esc' (trace "X" (hetmet_esc))))))) (trace "X" (mkWeakTypeVar0)) (trace "X" (mkWeakCoerVar0)) (trace "X" (mkWeakExprVar0)) (trace "X" (eqDecidableNat)) (trace "X" (natToStringInstance)) (trace "X" (uniqueSupply)) (trace "X" (__U0393_)) (trace "X" (__U0394_)) (trace "X" ((trace "X" ((projT1 (trace "X" (e''))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (flatten_type (trace "X" ((\_ > (trace "X" ((trace "X" (ga_unit (trace "X" (hetmet_PGArrow_unit_TyCon))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (ga_prod (trace "X" (hetmet_PGArrow_tensor_TyCon))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (ga_type (trace "X" (hetmet_PGArrowTyCon))))))))) (trace "X" (__U0393_)) (trace "X" (KindStar)) (trace "X" (__U03c4_))))))))) (trace "X" (([]))) (trace "X" ((trace "X" ((projT2 (trace "X" (e''))))))) (trace "X" (INil))))))) (trace "X" ((\q > (trace "X" (OK (trace "X" ((trace "X" ((weakExprToCoreExpr (trace "X" (q))))))))))))))))))))))))))))))));
+ Prelude.True > (trace "X" (let {haskProof = (trace "X" ((trace "X" (skolemize_and_flatten_proof (trace "X" ((\_ > (trace "X" ((trace "X" (ga_unit (trace "X" (hetmet_PGArrow_unit_TyCon))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (ga_prod (trace "X" (hetmet_PGArrow_tensor_TyCon))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (ga_type (trace "X" (hetmet_PGArrowTyCon))))))))) (trace "X" ((trace "X" ((my_ga (trace "X" (hetmet_PGArrowTyCon)) (trace "X" (hetmet_PGArrow_unit_TyCon)) (trace "X" (hetmet_PGArrow_tensor_TyCon)) (trace "X" (hetmet_pga_id)) (trace "X" (hetmet_pga_comp)) (trace "X" (hetmet_pga_first)) (trace "X" (hetmet_pga_second)) (trace "X" (hetmet_pga_cancell)) (trace "X" (hetmet_pga_cancelr)) (trace "X" (hetmet_pga_uncancell)) (trace "X" (hetmet_pga_uncancelr)) (trace "X" (hetmet_pga_assoc)) (trace "X" (hetmet_pga_unassoc)) (trace "X" (hetmet_pga_copy)) (trace "X" (hetmet_pga_drop)) (trace "X" (hetmet_pga_swap)) (trace "X" (hetmet_pga_loopl)) (trace "X" (hetmet_pga_loopr)) (trace "X" (hetmet_pga_kappa))))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_)) (trace "X" (__U0394_)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (coreVarEqDecidable)) (trace "X" (__U0393_)) (trace "X" (__U0394_)) (trace "X" (__U03be_)) (trace "X" (__U03c4_)) (trace "X" (([]))) (trace "X" (e)))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (__U03c4_)))))))) (trace "X" (([])))))))))))) (trace "X" ((trace "X" ((expr2proof (trace "X" (coreVarEqDecidable)) (trace "X" (__U0393_)) (trace "X" (__U0394_)) (trace "X" (__U03be_)) (trace "X" (__U03c4_)) (trace "X" (([]))) (trace "X" (e)))))))))))} in (trace "X" ((trace "X" (orErrorBind (trace "X" ((OK (trace "X" ((trace "X" ((unsafeCoerce (trace "X" (proof2expr)) (trace "X" (eqDecidableNat)) (trace "X" (freshNat)) (trace "X" (__U0393_)) (trace "X" (__U0394_)) (trace "X" ((\_ > (trace "X" ((trace "X" (flatten_type (trace "X" ((\_ > (trace "X" ((trace "X" (ga_unit (trace "X" (hetmet_PGArrow_unit_TyCon))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (ga_prod (trace "X" (hetmet_PGArrow_tensor_TyCon))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (ga_type (trace "X" (hetmet_PGArrowTyCon))))))))) (trace "X" (__U0393_)) (trace "X" (KindStar)) (trace "X" (__U03c4_))))))))) (trace "X" (([]))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((trace "X" ((flatten_leveled_type (trace "X" ((\_ > (trace "X" ((trace "X" (ga_unit (trace "X" (hetmet_PGArrow_unit_TyCon))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (ga_prod (trace "X" (hetmet_PGArrow_tensor_TyCon))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (ga_type (trace "X" (hetmet_PGArrowTyCon))))))))) (trace "X" (__U0393_))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (coreVarEqDecidable)) (trace "X" (__U0393_)) (trace "X" (__U0394_)) (trace "X" (__U03be_)) (trace "X" (__U03c4_)) (trace "X" (([]))) (trace "X" (e))))))))))))))))) (trace "X" ((\x > (trace "X" ((trace "X" (Prelude.error (trace "X" (((:) (trace "X" ('u')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('b')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('u')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('d')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('u')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('q')) (trace "X" (((:) (trace "X" ('u')) (trace "X" (((:) (trace "X" ('e')) (trace "X" ([]))))))))))))))))))))))))))))))))))))))))))))))))))) (trace "X" (natToStringInstance)) (trace "X" (haskProof)) (trace "X" (O)))))))))) (trace "X" ((\e' > (trace "X" ((trace "X" (orErrorBind (trace "X" ((trace "X" ((snd (trace "X" (e'))))))) (trace "X" ((\e'' > (trace "X" ((trace "X" (orErrorBind (trace "X" ((trace "X" ((strongExprToWeakExpr (trace "X" ((trace "X" ((hetmet_brak' (trace "X" (hetmet_brak))))))) (trace "X" ((trace "X" ((hetmet_esc' (trace "X" (hetmet_esc))))))) (trace "X" (mkWeakTypeVar0)) (trace "X" (mkWeakCoerVar0)) (trace "X" (mkWeakExprVar0)) (trace "X" (eqDecidableNat)) (trace "X" (natToStringInstance)) (trace "X" (uniqueSupply)) (trace "X" (__U0393_)) (trace "X" (__U0394_)) (trace "X" ((trace "X" ((projT1 (trace "X" (e''))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (flatten_type (trace "X" ((\_ > (trace "X" ((trace "X" (ga_unit (trace "X" (hetmet_PGArrow_unit_TyCon))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (ga_prod (trace "X" (hetmet_PGArrow_tensor_TyCon))))))))) (trace "X" ((\_ > (trace "X" ((trace "X" (ga_type (trace "X" (hetmet_PGArrowTyCon))))))))) (trace "X" (__U0393_)) (trace "X" (KindStar)) (trace "X" (__U03c4_))))))))) (trace "X" (([]))) (trace "X" ((trace "X" ((projT2 (trace "X" (e''))))))) (trace "X" (INil))))))) (trace "X" ((\q > (trace "X" (OK (trace "X" ((trace "X" ((weakExprToCoreExpr (trace "X" (q))))))))))))))))))))))))))))))));
Prelude.False >
(trace "X" (case (trace "X" (do_flatten)) of {
Prelude.True > (trace "X" (let {haskProof = (trace "X" ((trace "X" (flatten_proof (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_)) (trace "X" (__U0394_)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (coreVarEqDecidable)) (trace "X" (__U0393_)) (trace "X" (__U0394_)) (trace "X" (__U03be_)) (trace "X" (__U03c4_)) (trace "X" (([]))) (trace "X" (e)))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (__U03c4_)))))))) (trace "X" (([])))))))))))) (trace "X" ((trace "X" ((expr2proof (trace "X" (coreVarEqDecidable)) (trace "X" (__U0393_)) (trace "X" (__U0394_)) (trace "X" (__U03be_)) (trace "X" (__U03c4_)) (trace "X" (([]))) (trace "X" (e)))))))))))} in (trace "X" ((trace "X" (orErrorBind (trace "X" ((OK (trace "X" ((trace "X" ((unsafeCoerce (trace "X" (proof2expr)) (trace "X" (eqDecidableNat)) (trace "X" (freshNat)) (trace "X" (__U0393_)) (trace "X" (__U0394_)) (trace "X" (__U03c4_)) (trace "X" (([]))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (coreVarEqDecidable)) (trace "X" (__U0393_)) (trace "X" (__U0394_)) (trace "X" (__U03be_)) (trace "X" (__U03c4_)) (trace "X" (([]))) (trace "X" (e)))))))))))) (trace "X" ((\x > (trace "X" ((trace "X" (Prelude.error (trace "X" (((:) (trace "X" ('u')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('b')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('u')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('d')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('u')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('q')) (trace "X" (((:) (trace "X" ('u')) (trace "X" (((:) (trace "X" ('e')) (trace "X" ([]))))))))))))))))))))))))))))))))))))))))))))))))))) (trace "X" (natToStringInstance)) (trace "X" (haskProof)) (trace "X" (O)))))))))) (trace "X" ((\e' > (trace "X" ((trace "X" (orErrorBind (trace "X" ((trace "X" ((snd (trace "X" (e'))))))) (trace "X" ((\e'' > (trace "X" ((trace "X" (orErrorBind (trace "X" ((trace "X" ((strongExprToWeakExpr (trace "X" ((trace "X" ((hetmet_brak' (trace "X" (hetmet_brak))))))) (trace "X" ((trace "X" ((hetmet_esc' (trace "X" (hetmet_esc))))))) (trace "X" (mkWeakTypeVar0)) (trace "X" (mkWeakCoerVar0)) (trace "X" (mkWeakExprVar0)) (trace "X" (eqDecidableNat)) (trace "X" (natToStringInstance)) (trace "X" (uniqueSupply)) (trace "X" (__U0393_)) (trace "X" (__U0394_)) (trace "X" ((trace "X" ((projT1 (trace "X" (e''))))))) (trace "X" (__U03c4_)) (trace "X" (([]))) (trace "X" ((trace "X" ((projT2 (trace "X" (e''))))))) (trace "X" (INil))))))) (trace "X" ((\q > (trace "X" (OK (trace "X" ((trace "X" ((weakExprToCoreExpr (trace "X" (q))))))))))))))))))))))))))))))));
Prelude.False > (trace "X" (let {haskProof = (trace "X" ((trace "X" (expr2proof (trace "X" (coreVarEqDecidable)) (trace "X" (__U0393_)) (trace "X" (__U0394_)) (trace "X" (__U03be_)) (trace "X" (__U03c4_)) (trace "X" (([]))) (trace "X" (e))))))} in (trace "X" ((trace "X" (orErrorBind (trace "X" ((OK (trace "X" ((trace "X" ((unsafeCoerce (trace "X" (proof2expr)) (trace "X" (eqDecidableNat)) (trace "X" (freshNat)) (trace "X" (__U0393_)) (trace "X" (__U0394_)) (trace "X" (__U03c4_)) (trace "X" (([]))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_)) (trace "X" ((trace "X" ((expr2antecedent (trace "X" (coreVarEqDecidable)) (trace "X" (__U0393_)) (trace "X" (__U0394_)) (trace "X" (__U03be_)) (trace "X" (__U03c4_)) (trace "X" (([]))) (trace "X" (e)))))))))))) (trace "X" ((\x > (trace "X" ((trace "X" (Prelude.error (trace "X" (((:) (trace "X" ('u')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('b')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('u')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('d')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('u')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('q')) (trace "X" (((:) (trace "X" ('u')) (trace "X" (((:) (trace "X" ('e')) (trace "X" ([]))))))))))))))))))))))))))))))))))))))))))))))))))) (trace "X" (natToStringInstance)) (trace "X" (haskProof)) (trace "X" (O)))))))))) (trace "X" ((\e' > (trace "X" ((trace "X" (orErrorBind (trace "X" ((trace "X" ((snd (trace "X" (e'))))))) (trace "X" ((\e'' > (trace "X" ((trace "X" (orErrorBind (trace "X" ((trace "X" ((strongExprToWeakExpr (trace "X" ((trace "X" ((hetmet_brak' (trace "X" (hetmet_brak))))))) (trace "X" ((trace "X" ((hetmet_esc' (trace "X" (hetmet_esc))))))) (trace "X" (mkWeakTypeVar0)) (trace "X" (mkWeakCoerVar0)) (trace "X" (mkWeakExprVar0)) (trace "X" (eqDecidableNat)) (trace "X" (natToStringInstance)) (trace "X" (uniqueSupply)) (trace "X" (__U0393_)) (trace "X" (__U0394_)) (trace "X" ((trace "X" ((projT1 (trace "X" (e''))))))) (trace "X" (__U03c4_)) (trace "X" (([]))) (trace "X" ((trace "X" ((projT2 (trace "X" (e''))))))) (trace "X" (INil))))))) (trace "X" ((\q > (trace "X" (OK (trace "X" ((trace "X" ((weakExprToCoreExpr (trace "X" (q))))))))))))))))))))))))))))))))}))}))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
coreToCoreExpr :: Prelude.Bool > Prelude.Bool > Var.Var > Var.Var > UniqSupply.UniqSupply > TyCon.TyCon > TyCon.TyCon > TyCon.TyCon > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > (CoreSyn.Expr Var.Var) > CoreSyn.Expr Var.Var
coreToCoreExpr do_flatten do_skolemize hetmet_brak hetmet_esc uniqueSupply hetmet_PGArrowTyCon hetmet_PGArrow_unit_TyCon hetmet_PGArrow_tensor_TyCon hetmet_pga_id hetmet_pga_comp hetmet_pga_first hetmet_pga_second hetmet_pga_cancell hetmet_pga_cancelr hetmet_pga_uncancell hetmet_pga_uncancelr hetmet_pga_assoc hetmet_pga_unassoc hetmet_pga_copy hetmet_pga_drop hetmet_pga_swap hetmet_pga_loopl hetmet_pga_loopr ce =
 (trace "X" (case (trace "X" ((trace "X" (coreToCoreExpr' (trace "X" (do_flatten)) (trace "X" (do_skolemize)) (trace "X" (hetmet_brak)) (trace "X" (hetmet_esc)) (trace "X" (uniqueSupply)) (trace "X" (hetmet_PGArrowTyCon)) (trace "X" (hetmet_PGArrow_unit_TyCon)) (trace "X" (hetmet_PGArrow_tensor_TyCon)) (trace "X" (hetmet_pga_id)) (trace "X" (hetmet_pga_comp)) (trace "X" (hetmet_pga_first)) (trace "X" (hetmet_pga_second)) (trace "X" (hetmet_pga_cancell)) (trace "X" (hetmet_pga_cancelr)) (trace "X" (hetmet_pga_uncancell)) (trace "X" (hetmet_pga_uncancelr)) (trace "X" (hetmet_pga_assoc)) (trace "X" (hetmet_pga_unassoc)) (trace "X" (hetmet_pga_copy)) (trace "X" (hetmet_pga_drop)) (trace "X" (hetmet_pga_swap)) (trace "X" (hetmet_pga_loopl)) (trace "X" (hetmet_pga_loopr)) (trace "X" (ce)))))) of {
+coreToCoreExpr :: Prelude.Bool > Prelude.Bool > Var.Var > Var.Var > UniqSupply.UniqSupply > TyCon.TyCon > TyCon.TyCon > TyCon.TyCon > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > (CoreSyn.Expr Var.Var) > CoreSyn.Expr Var.Var
+coreToCoreExpr do_flatten do_skolemize hetmet_brak hetmet_esc uniqueSupply hetmet_PGArrowTyCon hetmet_PGArrow_unit_TyCon hetmet_PGArrow_tensor_TyCon hetmet_pga_id hetmet_pga_comp hetmet_pga_first hetmet_pga_second hetmet_pga_cancell hetmet_pga_cancelr hetmet_pga_uncancell hetmet_pga_uncancelr hetmet_pga_assoc hetmet_pga_unassoc hetmet_pga_copy hetmet_pga_drop hetmet_pga_swap hetmet_pga_loopl hetmet_pga_loopr hetmet_pga_kappa ce =
+ (trace "X" (case (trace "X" ((trace "X" (coreToCoreExpr' (trace "X" (do_flatten)) (trace "X" (do_skolemize)) (trace "X" (hetmet_brak)) (trace "X" (hetmet_esc)) (trace "X" (uniqueSupply)) (trace "X" (hetmet_PGArrowTyCon)) (trace "X" (hetmet_PGArrow_unit_TyCon)) (trace "X" (hetmet_PGArrow_tensor_TyCon)) (trace "X" (hetmet_pga_id)) (trace "X" (hetmet_pga_comp)) (trace "X" (hetmet_pga_first)) (trace "X" (hetmet_pga_second)) (trace "X" (hetmet_pga_cancell)) (trace "X" (hetmet_pga_cancelr)) (trace "X" (hetmet_pga_uncancell)) (trace "X" (hetmet_pga_uncancelr)) (trace "X" (hetmet_pga_assoc)) (trace "X" (hetmet_pga_unassoc)) (trace "X" (hetmet_pga_copy)) (trace "X" (hetmet_pga_drop)) (trace "X" (hetmet_pga_swap)) (trace "X" (hetmet_pga_loopl)) (trace "X" (hetmet_pga_loopr)) (trace "X" (hetmet_pga_kappa)) (trace "X" (ce)))))) of {
Error s > (trace "X" ((trace "X" (Prelude.error (trace "X" (s))))));
OK x > (trace "X" (x))}))
coreToCoreBind :: Prelude.Bool > Prelude.Bool > Var.Var > Var.Var > UniqSupply.UniqSupply > TyCon.TyCon > TyCon.TyCon > TyCon.TyCon > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > (CoreSyn.Bind Var.Var) > CoreSyn.Bind Var.Var
coreToCoreBind do_flatten do_skolemize hetmet_brak hetmet_esc uniqueSupply hetmet_PGArrowTyCon hetmet_PGArrow_unit_TyCon hetmet_PGArrow_tensor_TyCon hetmet_pga_id hetmet_pga_comp hetmet_pga_first hetmet_pga_second hetmet_pga_cancell hetmet_pga_cancelr hetmet_pga_uncancell hetmet_pga_uncancelr hetmet_pga_assoc hetmet_pga_unassoc hetmet_pga_copy hetmet_pga_drop hetmet_pga_swap hetmet_pga_loopl hetmet_pga_loopr binds =
+coreToCoreBind :: Prelude.Bool > Prelude.Bool > Var.Var > Var.Var > UniqSupply.UniqSupply > TyCon.TyCon > TyCon.TyCon > TyCon.TyCon > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > (CoreSyn.Bind Var.Var) > CoreSyn.Bind Var.Var
+coreToCoreBind do_flatten do_skolemize hetmet_brak hetmet_esc uniqueSupply hetmet_PGArrowTyCon hetmet_PGArrow_unit_TyCon hetmet_PGArrow_tensor_TyCon hetmet_pga_id hetmet_pga_comp hetmet_pga_first hetmet_pga_second hetmet_pga_cancell hetmet_pga_cancelr hetmet_pga_uncancell hetmet_pga_uncancelr hetmet_pga_assoc hetmet_pga_unassoc hetmet_pga_copy hetmet_pga_drop hetmet_pga_swap hetmet_pga_loopl hetmet_pga_loopr hetmet_pga_kappa binds =
(trace "X" (case (trace "X" (binds)) of {
 CoreSyn.NonRec v e > (trace "X" (let {e' = (trace "X" ((trace "X" (coreToCoreExpr (trace "X" (do_flatten)) (trace "X" (do_skolemize)) (trace "X" (hetmet_brak)) (trace "X" (hetmet_esc)) (trace "X" (uniqueSupply)) (trace "X" (hetmet_PGArrowTyCon)) (trace "X" (hetmet_PGArrow_unit_TyCon)) (trace "X" (hetmet_PGArrow_tensor_TyCon)) (trace "X" (hetmet_pga_id)) (trace "X" (hetmet_pga_comp)) (trace "X" (hetmet_pga_first)) (trace "X" (hetmet_pga_second)) (trace "X" (hetmet_pga_cancell)) (trace "X" (hetmet_pga_cancelr)) (trace "X" (hetmet_pga_uncancell)) (trace "X" (hetmet_pga_uncancelr)) (trace "X" (hetmet_pga_assoc)) (trace "X" (hetmet_pga_unassoc)) (trace "X" (hetmet_pga_copy)) (trace "X" (hetmet_pga_drop)) (trace "X" (hetmet_pga_swap)) (trace "X" (hetmet_pga_loopl)) (trace "X" (hetmet_pga_loopr)) (trace "X" (e))))))} in (trace "X" (CoreSyn.NonRec (trace "X" ((trace "X" ((Var.setVarType (trace "X" (v)) (trace "X" ((trace "X" ((CoreUtils.exprType (trace "X" (e')))))))))))) (trace "X" (e'))))));
+ CoreSyn.NonRec v e > (trace "X" (let {e' = (trace "X" ((trace "X" (coreToCoreExpr (trace "X" (do_flatten)) (trace "X" (do_skolemize)) (trace "X" (hetmet_brak)) (trace "X" (hetmet_esc)) (trace "X" (uniqueSupply)) (trace "X" (hetmet_PGArrowTyCon)) (trace "X" (hetmet_PGArrow_unit_TyCon)) (trace "X" (hetmet_PGArrow_tensor_TyCon)) (trace "X" (hetmet_pga_id)) (trace "X" (hetmet_pga_comp)) (trace "X" (hetmet_pga_first)) (trace "X" (hetmet_pga_second)) (trace "X" (hetmet_pga_cancell)) (trace "X" (hetmet_pga_cancelr)) (trace "X" (hetmet_pga_uncancell)) (trace "X" (hetmet_pga_uncancelr)) (trace "X" (hetmet_pga_assoc)) (trace "X" (hetmet_pga_unassoc)) (trace "X" (hetmet_pga_copy)) (trace "X" (hetmet_pga_drop)) (trace "X" (hetmet_pga_swap)) (trace "X" (hetmet_pga_loopl)) (trace "X" (hetmet_pga_loopr)) (trace "X" (hetmet_pga_kappa)) (trace "X" (e))))))} in (trace "X" (CoreSyn.NonRec (trace "X" ((trace "X" ((Var.setVarType (trace "X" (v)) (trace "X" ((trace "X" ((CoreUtils.exprType (trace "X" (e')))))))))))) (trace "X" (e'))))));
CoreSyn.Rec lbe > (trace "X" (CoreSyn.Rec (trace "X" ((trace "X" ((map (trace "X" ((\ve > (trace "X" (case (trace "X" (ve)) of {
 (,) v e > (trace "X" ((,) (trace "X" (v)) (trace "X" ((trace "X" ((coreToCoreExpr (trace "X" (do_flatten)) (trace "X" (do_skolemize)) (trace "X" (hetmet_brak)) (trace "X" (hetmet_esc)) (trace "X" (uniqueSupply)) (trace "X" (hetmet_PGArrowTyCon)) (trace "X" (hetmet_PGArrow_unit_TyCon)) (trace "X" (hetmet_PGArrow_tensor_TyCon)) (trace "X" (hetmet_pga_id)) (trace "X" (hetmet_pga_comp)) (trace "X" (hetmet_pga_first)) (trace "X" (hetmet_pga_second)) (trace "X" (hetmet_pga_cancell)) (trace "X" (hetmet_pga_cancelr)) (trace "X" (hetmet_pga_uncancell)) (trace "X" (hetmet_pga_uncancelr)) (trace "X" (hetmet_pga_assoc)) (trace "X" (hetmet_pga_unassoc)) (trace "X" (hetmet_pga_copy)) (trace "X" (hetmet_pga_drop)) (trace "X" (hetmet_pga_swap)) (trace "X" (hetmet_pga_loopl)) (trace "X" (hetmet_pga_loopr)) (trace "X" (e)))))))))}))))) (trace "X" (lbe)))))))))}))
+ (,) v e > (trace "X" ((,) (trace "X" (v)) (trace "X" ((trace "X" ((coreToCoreExpr (trace "X" (do_flatten)) (trace "X" (do_skolemize)) (trace "X" (hetmet_brak)) (trace "X" (hetmet_esc)) (trace "X" (uniqueSupply)) (trace "X" (hetmet_PGArrowTyCon)) (trace "X" (hetmet_PGArrow_unit_TyCon)) (trace "X" (hetmet_PGArrow_tensor_TyCon)) (trace "X" (hetmet_pga_id)) (trace "X" (hetmet_pga_comp)) (trace "X" (hetmet_pga_first)) (trace "X" (hetmet_pga_second)) (trace "X" (hetmet_pga_cancell)) (trace "X" (hetmet_pga_cancelr)) (trace "X" (hetmet_pga_uncancell)) (trace "X" (hetmet_pga_uncancelr)) (trace "X" (hetmet_pga_assoc)) (trace "X" (hetmet_pga_unassoc)) (trace "X" (hetmet_pga_copy)) (trace "X" (hetmet_pga_drop)) (trace "X" (hetmet_pga_swap)) (trace "X" (hetmet_pga_loopl)) (trace "X" (hetmet_pga_loopr)) (trace "X" (hetmet_pga_kappa)) (trace "X" (e)))))))))}))))) (trace "X" (lbe)))))))))}))
coqPassCoreToCore' :: Prelude.Bool > Prelude.Bool > Var.Var > Var.Var > UniqSupply.UniqSupply > TyCon.TyCon > TyCon.TyCon > TyCon.TyCon > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > (([]) (CoreSyn.Bind Var.Var)) > ([]) (CoreSyn.Bind Var.Var)
coqPassCoreToCore' do_flatten do_skolemize hetmet_brak hetmet_esc uniqueSupply hetmet_PGArrowTyCon hetmet_PGArrow_unit_TyCon hetmet_PGArrow_tensor_TyCon hetmet_pga_id hetmet_pga_comp hetmet_pga_first hetmet_pga_second hetmet_pga_cancell hetmet_pga_cancelr hetmet_pga_uncancell hetmet_pga_uncancelr hetmet_pga_assoc hetmet_pga_unassoc hetmet_pga_copy hetmet_pga_drop hetmet_pga_swap hetmet_pga_loopl hetmet_pga_loopr lbinds =
 (trace "X" ((trace "X" (map (trace "X" ((trace "X" ((coreToCoreBind (trace "X" (do_flatten)) (trace "X" (do_skolemize)) (trace "X" (hetmet_brak)) (trace "X" (hetmet_esc)) (trace "X" (uniqueSupply)) (trace "X" (hetmet_PGArrowTyCon)) (trace "X" (hetmet_PGArrow_unit_TyCon)) (trace "X" (hetmet_PGArrow_tensor_TyCon)) (trace "X" (hetmet_pga_id)) (trace "X" (hetmet_pga_comp)) (trace "X" (hetmet_pga_first)) (trace "X" (hetmet_pga_second)) (trace "X" (hetmet_pga_cancell)) (trace "X" (hetmet_pga_cancelr)) (trace "X" (hetmet_pga_uncancell)) (trace "X" (hetmet_pga_uncancelr)) (trace "X" (hetmet_pga_assoc)) (trace "X" (hetmet_pga_unassoc)) (trace "X" (hetmet_pga_copy)) (trace "X" (hetmet_pga_drop)) (trace "X" (hetmet_pga_swap)) (trace "X" (hetmet_pga_loopl)) (trace "X" (hetmet_pga_loopr))))))) (trace "X" (lbinds))))))
+coqPassCoreToCore' :: Prelude.Bool > Prelude.Bool > Var.Var > Var.Var > UniqSupply.UniqSupply > TyCon.TyCon > TyCon.TyCon > TyCon.TyCon > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > Var.Var > (([]) (CoreSyn.Bind Var.Var)) > ([]) (CoreSyn.Bind Var.Var)
+coqPassCoreToCore' do_flatten do_skolemize hetmet_brak hetmet_esc uniqueSupply hetmet_PGArrowTyCon hetmet_PGArrow_unit_TyCon hetmet_PGArrow_tensor_TyCon hetmet_pga_id hetmet_pga_comp hetmet_pga_first hetmet_pga_second hetmet_pga_cancell hetmet_pga_cancelr hetmet_pga_uncancell hetmet_pga_uncancelr hetmet_pga_assoc hetmet_pga_unassoc hetmet_pga_copy hetmet_pga_drop hetmet_pga_swap hetmet_pga_loopl hetmet_pga_loopr hetmet_pga_kappa lbinds =
+ (trace "X" ((trace "X" (map (trace "X" ((trace "X" ((coreToCoreBind (trace "X" (do_flatten)) (trace "X" (do_skolemize)) (trace "X" (hetmet_brak)) (trace "X" (hetmet_esc)) (trace "X" (uniqueSupply)) (trace "X" (hetmet_PGArrowTyCon)) (trace "X" (hetmet_PGArrow_unit_TyCon)) (trace "X" (hetmet_PGArrow_tensor_TyCon)) (trace "X" (hetmet_pga_id)) (trace "X" (hetmet_pga_comp)) (trace "X" (hetmet_pga_first)) (trace "X" (hetmet_pga_second)) (trace "X" (hetmet_pga_cancell)) (trace "X" (hetmet_pga_cancelr)) (trace "X" (hetmet_pga_uncancell)) (trace "X" (hetmet_pga_uncancelr)) (trace "X" (hetmet_pga_assoc)) (trace "X" (hetmet_pga_unassoc)) (trace "X" (hetmet_pga_copy)) (trace "X" (hetmet_pga_drop)) (trace "X" (hetmet_pga_swap)) (trace "X" (hetmet_pga_loopl)) (trace "X" (hetmet_pga_loopr)) (trace "X" (hetmet_pga_kappa))))))) (trace "X" (lbinds))))))
coqPassCoreToCore :: Prelude.Bool > Prelude.Bool > (Prelude.String > Prelude.String > CoreMonad.CoreM Var.Var) > (Prelude.String > Prelude.String > CoreMonad.CoreM TyCon.TyCon) > UniqSupply.UniqSupply > (([]) (CoreSyn.Bind Var.Var)) > CoreMonad.CoreM (([]) (CoreSyn.Bind Var.Var))
coqPassCoreToCore do_flatten do_skolemize dsLookupVar dsLookupTyc uniqueSupply lbinds =
 (trace "X" ((trace "X" ((Prelude.>>=) (trace "X" ((trace "X" ((dsLookupVar (trace "X" (((:) (trace "X" ('G')) (trace "X" (((:) (trace "X" ('H')) (trace "X" (((:) (trace "X" ('C')) (trace "X" (((:) (trace "X" ('.')) (trace "X" (((:) (trace "X" ('H')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('M')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('.')) (trace "X" (((:) (trace "X" ('C')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('d')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('T')) (trace "X" (((:) (trace "X" ('y')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('s')) (trace "X" ([])))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (trace "X" (((:) (trace "X" ('h')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('m')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('_')) (trace "X" (((:) (trace "X" ('b')) (trace "X" (((:) (trace "X" ('r')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" ('k')) (trace "X" ([])))))))))))))))))))))))))))))))))))))))) (trace "X" ((\hetmet_brak > (trace "X" ((trace "X" ((Prelude.>>=) (trace "X" ((trace "X" ((dsLookupVar (trace "X" (((:) (trace "X" ('G')) (trace "X" (((:) (trace "X" ('H')) (trace "X" (((:) (trace "X" ('C')) (trace "X" (((:) (trace "X" ('.')) (trace "X" (((:) (trace "X" ('H')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('M')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('.')) (trace "X" (((:) (trace "X" ('C')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('d')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('T')) (trace "X" (((:) (trace "X" ('y')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('s')) (trace "X" ([])))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (trace "X" (((:) (trace "X" ('h')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('m')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('_')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('s')) (trace "X" (((:) (trace "X" ('c')) (trace "X" ([]))))))))))))))))))))))))))))))))))))) (trace "X" ((\hetmet_esc > (trace "X" ((trace "X" ((Prelude.>>=) (trace "X" ((trace "X" ((dsLookupTyc (trace "X" (((:) (trace "X" ('G')) (trace "X" (((:) (trace "X" ('H')) (trace "X" (((:) (trace "X" ('C')) (trace "X" (((:) (trace "X" ('.')) (trace "X" (((:) (trace "X" ('H')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('M')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('.')) (trace "X" (((:) (trace "X" ('P')) (trace "X" (((:) (trace "X" ('r')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('v')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('e')) (trace "X" ([])))))))))))))))))))))))))))))))))))))))))))))))))))))))) (trace "X" (((:) (trace "X" ('P')) (trace "X" (((:) (trace "X" ('G')) (trace "X" (((:) (trace "X" ('A')) (trace "X" (((:) (trace "X" ('r')) (trace "X" (((:) (trace "X" ('r')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('w')) (trace "X" ([])))))))))))))))))))))))))))) (trace "X" ((\hetmet_PGArrow > (trace "X" ((trace "X" ((Prelude.>>=) (trace "X" ((trace "X" ((dsLookupTyc (trace "X" (((:) (trace "X" ('G')) (trace "X" (((:) (trace "X" ('H')) (trace "X" (((:) (trace "X" ('C')) (trace "X" (((:) (trace "X" ('.')) (trace "X" (((:) (trace "X" ('H')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('M')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('.')) (trace "X" (((:) (trace "X" ('G')) (trace "X" (((:) (trace "X" ('A')) (trace "X" (((:) (trace "X" ('r')) (trace "X" (((:) (trace "X" ('r')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('w')) (trace "X" ([]))))))))))))))))))))))))))))))))))))))))))))))))))))) (trace "X" (((:) (trace "X" ('G')) (trace "X" (((:) (trace "X" ('A')) (trace "X" (((:) (trace "X" ('r')) (trace "X" (((:) (trace "X" ('r')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('w')) (trace "X" (((:) (trace "X" ('U')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('t')) (trace "X" ([]))))))))))))))))))))))))))))))))))))) (trace "X" ((\hetmet_PGArrow_unit > (trace "X" ((trace "X" ((Prelude.>>=) (trace "X" ((trace "X" ((dsLookupTyc (trace "X" (((:) (trace "X" ('G')) (trace "X" (((:) (trace "X" ('H')) (trace "X" (((:) (trace "X" ('C')) (trace "X" (((:) (trace "X" ('.')) (trace "X" (((:) (trace "X" ('H')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('M')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('.')) (trace "X" (((:) (trace "X" ('G')) (trace "X" (((:) (trace "X" ('A')) (trace "X" (((:) (trace "X" ('r')) (trace "X" (((:) (trace "X" ('r')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('w')) (trace "X" ([]))))))))))))))))))))))))))))))))))))))))))))))))))))) (trace "X" (((:) (trace "X" ('G')) (trace "X" (((:) (trace "X" ('A')) (trace "X" (((:) (trace "X" ('r')) (trace "X" (((:) (trace "X" ('r')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('w')) (trace "X" (((:) (trace "X" ('T')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('s')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('r')) (trace "X" ([]))))))))))))))))))))))))))))))))))))))))))) (trace "X" ((\hetmet_PGArrow_tensor > (trace "X" ((trace "X" ((Prelude.>>=) (trace "X" ((trace "X" ((dsLookupTyc (trace "X" (((:) (trace "X" ('G')) (trace "X" (((:) (trace "X" ('H')) (trace "X" (((:) (trace "X" ('C')) (trace "X" (((:) (trace "X" ('.')) (trace "X" (((:) (trace "X" ('H')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('M')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('.')) 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1.7.10.4