update baked in CoqPass.hs

diff --git a/build/CoqPass.hs b/build/CoqPass.hs
index cc34454..5c0f49b 100644 (file)
--- a/build/CoqPass.hs
+++ b/build/CoqPass.hs
@@ -3491,6 +3491,23 @@ factorContextLeftAndWeaken eqd_vv __U0393_0 __U0394_0 v ctx __U03be_0 =
                                                      in mapOptionTree0 (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (((:) (trace "X" (v)) (trace "X" (([])))))) (trace "X" (ctx)))))))))))) (trace "X" ((AWeak (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((__U03be_0 (trace "X" (v)))))))))))))))))))));
                            Prelude.Right a -> (trace "X" (a))}))))
 
+factorContextLeftAndWeaken'' :: (EqDecidable a1) -> TypeEnv -> CoercionEnv -> (Tree (Prelude.Maybe a1)) -> (a1 -> LeveledHaskType) -> (Tree (Prelude.Maybe a1)) -> Arrange LeveledHaskType
+factorContextLeftAndWeaken'' eqd_vv __U0393_0 __U0394_0 v __U03be_0 ctx =
+  (trace "X" ((trace "X" (tree_rect (trace "X" ((\a ctx0 _ ->
+                            (trace "X" (case (trace "X" (a)) of {
+                                         Prelude.Just v0 -> (trace "X" ((trace "X" (factorContextLeftAndWeaken (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (v0)) (trace "X" (ctx0)) (trace "X" (__U03be_0))))));
+                                         Prelude.Nothing ->
+                                          (trace "X" ((trace "X" (eq_rect_r (trace "X" (ctx0)) (trace "X" ((AuCanL
+                                                                    (trace "X" ((trace "X" ((let {
+                                                                                              mapOptionTree0 f t =
+                                                                                                (trace "X" (case (trace "X" (t)) of {
+                                                                                                             T_Leaf o ->
+                                                                                                              (trace "X" (case (trace "X" (o)) of {
+                                                                                                                           Prelude.Just x -> (trace "X" (T_Leaf (trace "X" ((Prelude.Just (trace "X" ((trace "X" ((f (trace "X" (x))))))))))));
+                                                                                                                           Prelude.Nothing -> (trace "X" (T_Leaf (trace "X" (Prelude.Nothing))))}));
+                                                                                                             T_Branch l r -> (trace "X" (T_Branch (trace "X" ((trace "X" ((mapOptionTree0 (trace "X" (f)) (trace "X" (l))))))) (trace "X" ((trace "X" ((mapOptionTree0 (trace "X" (f)) (trace "X" (r)))))))))}))}
+                                                                                             in mapOptionTree0 (trace "X" (__U03be_0)) (trace "X" (ctx0)))))))))) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" (([]))) (trace "X" (ctx0)))))))))))}))))) (trace "X" ((\v1 iHv1 v2 iHv2 ctx0 _ -> (trace "X" (let {iHv1' = (trace "X" ((trace "X" (iHv1 (trace "X" ((T_Branch (trace "X" (v2)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((leaves (trace "X" (v2))))))) (trace "X" (ctx0))))))))))))))} in (trace "X" ((trace "X" (eq_rect (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((leaves (trace "X" (v1))))))) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((leaves (trace "X" (v2))))))) (trace "X" (ctx0)))))))))))) (trace "X" ((let {iHv1'0 = (trace "X" ((trace "X" (eq_rect (trace "X" ((trace "X" ((mapOptionTree' (trace "X" ((trace "X" ((dropVar (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((leaves (trace "X" (v1)))))))))))) (trace "X" (v2))))))) (trace "X" (iHv1')) (trace "X" (v2))))))} in (trace "X" (AComp (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx0))))))) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (v1))))))) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (v2))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((leaves (trace "X" (v1))))))) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((leaves (trace "X" (v2))))))) (trace "X" (ctx0))))))))))))))))))))))) (trace "X" ((T_Branch (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (v1))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (v2)))))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((leaves (trace "X" (v1))))))) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((leaves (trace "X" (v2))))))) (trace "X" (ctx0)))))))))))))))))))) (trace "X" ((AComp (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (ctx0))))))) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (v2))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((leaves (trace "X" (v2))))))) (trace "X" (ctx0))))))))))))))) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (v1))))))) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (v2))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((leaves (trace "X" (v1))))))) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((leaves (trace "X" (v2))))))) (trace "X" (ctx0))))))))))))))))))))))) (trace "X" ((trace "X" ((iHv2 (trace "X" (ctx0)) (trace "X" (__))))))) (trace "X" ((trace "X" ((iHv1'0 (trace "X" (__)))))))))) (trace "X" ((AAssoc (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (v1))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" (v2))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((leaves (trace "X" (v1))))))) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((leaves (trace "X" (v2))))))) (trace "X" (ctx0))))))))))))))))))))))))) (trace "X" ((trace "X" ((stripOutVars (trace "X" (eqd_vv)) (trace "X" ((trace "X" ((app (trace "X" ((trace "X" ((leaves (trace "X" (v1))))))) (trace "X" ((trace "X" ((leaves (trace "X" (v2)))))))))))) (trace "X" (ctx0)))))))))))))))) (trace "X" (v)) (trace "X" (ctx)) (trace "X" (__))))))
+
 factorContextRightAndWeaken :: (EqDecidable a1) -> TypeEnv -> CoercionEnv -> a1 -> (Tree (Prelude.Maybe a1)) -> (a1 -> LeveledHaskType) -> Arrange LeveledHaskType
 factorContextRightAndWeaken eqd_vv __U0393_0 __U0394_0 v ctx __U03be_0 =
   (trace "X" (let {q = (trace "X" ((trace "X" (factorContextRight (trace "X" (eqd_vv)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (v)) (trace "X" (ctx)) (trace "X" (__U03be_0))))))} in
@@ -3533,7 +3550,7 @@ letRecSubproofsToND eqd_vv __U0393_0 __U0394_0 __U03be_0 lev tree branches x =
 
 letRecSubproofsToND' :: (EqDecidable a1) -> TypeEnv -> CoercionEnv -> (a1 -> LeveledHaskType) -> HaskLevel -> HaskType -> (Tree (Prelude.Maybe ((,) a1 HaskType))) -> (ELetRecBindings a1) -> (Expr a1) -> (ND Judg Rule) -> (LetRecSubproofs a1) -> ND Judg Rule
 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" (__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" ((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" ((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" (factorContextRightAndWeaken'' (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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"X" (tree)))))))))))) (trace "X" (__U03c4_)) (trace "X" (lev)) (trace "X" (body))))))))))))))) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x -> (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" ((fst (trace "X" (x)))))))))))))) (trace "X" (tree))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (__U03be_0)) (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" ((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" (__U03c4_)) (trace "X" (lev)) (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" (q''1))))))))))) (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" ((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" ((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" ((trace "X" ((z (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" (__U03c4_)) (trace "X" (lev))))))))))))))))))
 
 expr2proof :: (EqDecidable a1) -> TypeEnv -> CoercionEnv -> (a1 -> LeveledHaskType) -> HaskType -> HaskLevel -> (Expr a1) -> ND Judg Rule
 expr2proof eqd_vv __U0393_' __U0394_' __U03be_' __U03c4_' l' exp =
@@ -4488,11 +4505,11 @@ rule2expr eqdec_vv freshM h j r x_ =
                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 ->
-                (trace "X" (let {x_0 = (trace "X" ((trace "X" (ileaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((T_Branch (trace "X" (lri)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' -> (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (t))))))) (trace "X" (y)))))))))) (trace "X" ((T_Branch (trace "X" (y)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (x))))))))))) (trace "X" (t))))) (trace "X" (x_))))))} in
+                (trace "X" (let {x_0 = (trace "X" ((trace "X" (ileaf (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" (t))))))) (trace "X" (y))))))) (trace "X" (lri))))) (trace "X" ((T_Branch (trace "X" (y)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (x))))))))))) (trace "X" (t))))) (trace "X" (x_))))))} in
                             (trace "X" (ILeaf (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (lri)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (x)))))))) (trace "X" (t)))))
                             (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" ((fresh_lemma' (trace "X" (eqdec_vv)) (trace "X" (freshM)) (trace "X" (__U0393_0)) (trace "X" (y)) (trace "X" (vars)) (trace "X" (lri)) (trace "X" (__U03be_0)) (trace "X" (t))))))) (trace "X" ((\__U03be_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" ((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" ((T_Branch (trace "X" (vars)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" (fst)) (trace "X" (__U03be_vars)))))))))) (trace "X" (__))))))) (trace "X" ((\x0 ->
+                                                                    (trace "X" ((trace "X" (bindM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((trace "X" ((unsafeCoerce (trace "X" (x_0)) (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" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" (fst)) (trace "X" (__U03be_vars))))))) (trace "X" (vars))))) (trace "X" (__))))))) (trace "X" ((\x0 ->
                                                                                               (trace "X" ((trace "X" (returnM (trace "X" ((trace "X" ((freshMon (trace "X" (freshM))))))) (trace "X" ((ILeaf (trace "X" (x))
                                                                                                                         (trace "X" ((case (trace "X" (x0)) of {
                                                                                                                                       INone -> (trace "X" (false_rect));
@@ -4741,8 +4758,17 @@ skolemize_proof h c x =
                                                        (:) 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" ('C')) (trace "X" (((:) (trace "X" ('o')) (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" ([])))))))))))))))))))))))))))))))))))))))))))))))))))))))))}));
                                          RLetRec __U0393_0 __U0394_0 lri x1 y t ->
                                           (trace "X" (case (trace "X" (t)) 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" ((T_Branch (trace "X" (lri)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' -> (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (([])))))))) (trace "X" (y)))))))))) (trace "X" ((T_Branch (trace "X" (y)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (x1))))))))))) (trace "X" (([])))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (lri)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (x1)))))))) (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" ((T_Branch (trace "X" (lri)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' -> (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (([])))))))) (trace "X" (y)))))))))) (trace "X" ((T_Branch (trace "X" (y)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (x1))))))))))) (trace "X" (([])))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (lri)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (x1)))))))) (trace "X" (([])))))))))))) (trace "X" ((RLetRec (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (lri)) (trace "X" (x1)) (trace "X" (y)) (trace "X" (([])))))))))));
-                                                       (:) h1 t0 -> (trace "X" ((trace "X" (Prelude.error (trace "X" (((:) (trace "X" ('R')) (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" (((:) (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" ([]))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))}));
+                                                       ([]) -> (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" ((trace "X" ((mapOptionTree (trace "X" ((\t' -> (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (([])))))))) (trace "X" (y))))))) (trace "X" (lri))))) (trace "X" ((T_Branch (trace "X" (y)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (x1))))))))))) (trace "X" (([])))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (lri)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (x1)))))))) (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" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' -> (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (([])))))))) (trace "X" (y))))))) (trace "X" (lri))))) (trace "X" ((T_Branch (trace "X" (y)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (x1))))))))))) (trace "X" (([])))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" ((MkJudg (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (lri)) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" (x1)))))))) (trace "X" (([])))))))))))) (trace "X" ((RLetRec (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (lri)) (trace "X" (x1)) (trace "X" (y)) (trace "X" (([])))))))))));
+                                                       (:) h1 t0 ->
+                                                        (trace "X" (let {s = (trace "X" ((trace "X" (decide_tree_empty (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' -> (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (((:) (trace "X" (h1)) (trace "X" (t0)))))))))) (trace "X" ((trace "X" ((mapOptionTreeAndFlatten (trace "X" ((trace "X" ((take_arg_types_as_tree (trace "X" (__U0393_0))))))) (trace "X" (y))))))))))))))))} in
+                                                                    (trace "X" (case (trace "X" (s)) of {
+                                                                                 Prelude.Left s0 ->
+                                                                                  (trace "X" (let {s1 = (trace "X" ((trace "X" (eqd_dec (trace "X" ((trace "X" ((eqDecidableTree (trace "X" ((trace "X" ((eqDecidableOption (trace "X" ((trace "X" ((haskTypeEqDecidable (trace "X" (__U0393_0)) (trace "X" (KindStar))))))))))))))))) (trace "X" (y)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x2 _ -> (trace "X" ((trace "X" (drop_arg_types_as_tree (trace "X" (__U0393_0)) (trace "X" (x2))))))))) (trace "X" (y)))))))))))} in
+                                                                                              (trace "X" (case (trace "X" (s1)) of {
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                                   ExistT x2 _ -> (trace "X" ((trace "X" (arrangeCancelEmptyTree (trace "X" (x2)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' -> (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (((:) (trace "X" (h1)) (trace "X" (t0)))))))))) (trace "X" ((trace "X" ((mapOptionTreeAndFlatten (trace "X" ((trace "X" ((take_arg_types_as_tree (trace "X" (__U0393_0))))))) (trace "X" (y))))))))))))))))})))))) (trace "X" ((ACanL (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' -> (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (((:) (trace "X" (h1)) (trace "X" (t0)))))))))) (trace "X" ((trace "X" ((take_arg_types_as_tree (trace "X" (__U0393_0)) (trace "X" (x1)))))))))))))))))))))))))))))) (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" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' -> (trace "X" 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+                                                                                                           Prelude.False -> (trace "X" ((trace "X" (Prelude.error (trace "X" (((:) (trace "X" ('u')) (trace "X" (((:) (trace "X" ('s')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('d')) (trace "X" (((:) (trace "X" (' ')) (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" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('s')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('f')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('b')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('d')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('g')) (trace "X" (((:) (trace "X" ('s')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('v')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('l')) (trace "X" (((:) (trace "X" ('v')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('g')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('f')) (trace "X" (((:) (trace "X" ('u')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('c')) (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" ('t')) (trace "X" (((:) (trace "X" ('y')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('e')) (trace "X" ([]))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))}))));
+                                                                                 Prelude.Right u -> (trace "X" ((trace "X" (Prelude.error (trace "X" (((:) (trace "X" ('u')) (trace "X" (((:) (trace "X" ('s')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('d')) (trace "X" (((:) (trace "X" (' ')) (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" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('s')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('f')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('b')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('d')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('g')) (trace "X" (((:) (trace "X" ('s')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('v')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('l')) (trace "X" (((:) (trace "X" ('v')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('g')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('f')) (trace "X" (((:) (trace "X" ('u')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('c')) (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" ('t')) (trace "X" (((:) (trace "X" ('y')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('e')) (trace "X" ([]))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))}))))}));
                                          RCase __U0393_0 __U0394_0 lev tc __U03a3_ avars tbranches alts -> (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" (' ')) (trace "X" (((:) (trace "X" ('B')) (trace "X" (((:) (trace "X" ('I')) (trace "X" (((:) (trace "X" ('G')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('F')) (trace "X" (((:) (trace "X" ('I')) (trace "X" (((:) (trace "X" ('X')) (trace "X" (((:) (trace "X" ('M')) (trace "X" (((:) (trace "X" ('E')) (trace "X" ([])))))))))))))))))))))))))))))))))))))))))))))))))))}))))) (trace "X" (h)) (trace "X" (c)) (trace "X" (x))))))
 
 v2t :: TypeEnv -> HaskTyVar -> (InstantiatedTypeEnv a1) -> RawHaskType a1
@@ -4829,82 +4855,87 @@ 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)) -> (() -> (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 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_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_kappa -> (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_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_kappa -> (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_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_kappa -> (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_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_kappa -> (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_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_kappa -> (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_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_kappa -> (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_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_kappa -> (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_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_kappa -> (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_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_kappa -> (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_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_kappa -> (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_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_kappa -> (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_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_kappa -> (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_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_kappa -> (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_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_kappa -> (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))}))
 
 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_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_kappa -> (trace "X" (ga_comp0))}))
 
 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 =
@@ -6326,13 +6357,10 @@ flatten_skolemized_proof hetmet_flatten hetmet_unflatten hetmet_id unitTy prodTy
                                                         (trace "X" (case (trace "X" (l)) of {
                                                                      ([]) -> (trace "X" ((trace "X" (eq_rect (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' -> (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (([])))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x1 _ -> (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x1))))))))) (trace "X" (__U03a3_)))))))))))) (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" ((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" (__U03a3___U2081_))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x1 _ -> (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x1))))))))) (trace "X" (__U03a3___U2082_))))))) (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" (__U03a3___U2081_))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' -> (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (([])))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x1 _ -> (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x1))))))))) (trace "X" (__U03a3_))))))))))))))) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x1 _ -> (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x1))))))))) (trace "X" (__U03a3___U2082_))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x1 _ -> (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x1))))))))) (trace "X" (__U03a3_)))))))))) (trace "X" (([])))))))))))) (trace "X" ((RRight (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" (__U03a3___U2081_))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x1 _ -> (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x1))))))))) (trace "X" (__U03a3___U2082_))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x1 _ -> (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x1))))))))) (trace "X" (__U03a3_))))))) (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" ((trace "X" ((mapOptionTree (trace "X" ((\t' -> (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (([])))))))) (trace "X" (__U03a3_))))))))))))))));
                                                                      (:) ec lev -> (trace "X" ((trace "X" (eq_rect_r (trace "X" ((trace "X" ((mapTree (trace "X" ((\x1 -> (trace "X" (Prelude.Nothing))))) (trace "X" ((trace "X" ((mapTree (trace "X" ((\x1 -> (trace "X" (()))))) (trace "X" (__U03a3_)))))))))))) (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" ((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" (__U03a3___U2081_)))))))))))) (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 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((take_lev (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev))))) (trace "X" ((T_Branch (trace "X" (__U03a3___U2081_)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' -> (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev)))))))))) (trace "X" (__U03a3_)))))))))))))))))))) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x1 _ -> (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x1))))))))) (trace "X" (__U03a3___U2082_))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x1 _ -> (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x1))))))))) (trace "X" (__U03a3_))))))))))))))))))))))) (trace "X" (([])))))))))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just (trace "X" 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(__U0393_0)) (trace "X" (KindStar)) (trace "X" (x1)))))))))))))))) (trace "X" ((trace "X" ((take_lev (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev))))) (trace "X" ((T_Branch (trace "X" (__U03a3___U2081_)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' -> (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev)))))))))) (trace "X" (__U03a3_)))))))))))))))))))) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x1 _ -> (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x1))))))))) (trace "X" (__U03a3___U2082_))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x1 _ -> (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x1))))))))) (trace "X" (__U03a3_))))))))))))))))))))))) (trace "X" (([])))))))))))) (trace "X" ((RArrange (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" ((trace "X" ((drop_lev (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev))))) (trace "X" (__U03a3___U2081_)))))))))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing)))))))) (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" ((trace "X" ((drop_lev (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev))))) (trace "X" (__U03a3___U2081_)))))))))))) (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" ((mapTree (trace "X" ((\x1 -> (trace "X" (Prelude.Nothing))))) (trace "X" ((trace "X" ((mapTree (trace "X" ((\x1 -> (trace "X" (()))))) (trace "X" (__U03a3_)))))))))))))))))))) (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" ((\x1 _ -> (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" (x1)))))))))))))))) (trace "X" ((trace "X" ((take_lev (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev))))) (trace "X" ((T_Branch (trace "X" (__U03a3___U2081_)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' -> (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev)))))))))) (trace "X" (__U03a3_)))))))))))))))))))) (trace "X" ((T_Branch (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x1 _ -> (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x1))))))))) (trace "X" (__U03a3___U2082_))))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\x1 _ -> (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (x1))))))))) (trace "X" (__U03a3_))))))))))))))))))))))) (trace "X" (([]))) (trace "X" ((ALeft (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (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" ((mapTree (trace "X" ((\x1 -> (trace "X" (Prelude.Nothing))))) (trace "X" ((trace "X" ((mapTree (trace "X" ((\x1 -> (trace "X" (()))))) (trace "X" (__U03a3_))))))))))))))))) (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" (__U03a3___U2081_)))))))))))) (trace "X" ((trace "X" ((arrangeUnCancelEmptyTree (trace "X" ((trace "X" ((mapTree (trace "X" ((\x1 -> (trace "X" (()))))) (trace "X" (__U03a3_))))))) (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" ((mapTree (trace "X" ((\x1 -> (trace "X" (Prelude.Nothing))))) (trace "X" ((trace "X" ((mapTree (trace "X" ((\x1 -> (trace "X" (()))))) (trace "X" (__U03a3_)))))))))))))))))))))))))))))))))) (trace "X" ((trace "X" ((drop_lev (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev))))) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\t' -> (trace "X" (MkLeveledHaskType (trace "X" (t')) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev)))))))))) (trace "X" (__U03a3_))))))))))))))))}));
-                                                       RVoid __U0393_0 __U0394_0 l -> (trace "X" (Nd_rule (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" ((Prelude.Just
-                                                        (trace "X" ((case (trace "X" (l)) of {
-                                                                      ([]) -> (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" (([])))));
-                                                                      (:) 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" ((T_Leaf (trace "X" (Prelude.Nothing))))))))))))))) (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" ((\x1 _ -> (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" (x1)))))))))))))))) (trace "X" ((trace "X" ((take_lev (trace "X" (__U0393_0)) (trace "X" (((:) (trace "X" (ec)) (trace "X" (lev'))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))))))))))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing)))))))))))))))))) (trace "X" (([])))))})))))))))
-                                                        (trace "X" ((case (trace "X" (l)) of {
-                                                                      ([]) -> (trace "X" (RVoid (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (([])))));
-                                                                      (:) h2 l0 -> (trace "X" ((trace "X" (Prelude.error (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" (((:) (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" ([])))))))))))))))))))))))))))))))))))))))))))))))))))))))))})))));
+                                                       RVoid __U0393_0 __U0394_0 l ->
+                                                        (trace "X" (case (trace "X" (l)) of {
+                                                                     ([]) -> (trace "X" (Nd_rule (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_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing))))) (trace "X" (([])))))))))))) (trace "X" ((RVoid (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (([]))))))));
+                                                                     (:) h2 l0 -> (trace "X" ((trace "X" (ga_id (trace "X" ((Prelude.error "Proj Args"))) (trace "X" ((Prelude.error "Proj Args"))) (trace "X" ((Prelude.error "Proj Args"))) (trace "X" (gar)) (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((\_ -> (trace "X" ((trace "X" (v2t (trace "X" (__U0393_0)) (trace "X" (h2))))))))) (trace "X" (([]))) (trace "X" ((T_Leaf (trace "X" (Prelude.Nothing)))))))))}));
                                                        RAppT __U0393_0 __U0394_0 __U03a3_ __U03ba_ __U03c3_ __U03c4_ lev ->
                                                         (trace "X" (case (trace "X" (lev)) of {
                                                                      ([]) -> (trace "X" ((trace "X" (eq_rect_r (trace "X" ((\_ -> (trace "X" ((trace "X" (haskTAll (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" ((\_ ite v -> (trace "X" ((trace "X" (flatten_rawtype (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (KindStar)) (trace "X" ((trace "X" ((__U03c3_ (trace "X" (__)) (trace "X" (ite)) (trace "X" (v))))))))))))))))))))) (trace "X" ((trace "X" ((eq_rect_r (trace "X" ((\_ -> (trace "X" ((trace "X" (substT (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (KindStar)) (trace "X" ((\_ ite v -> (trace "X" ((trace "X" (flatten_rawtype (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (KindStar)) (trace "X" ((trace "X" ((__U03c3_ (trace "X" (__)) (trace "X" (ite)) (trace "X" (v)))))))))))))) (trace "X" ((\_ -> (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c4_)))))))))))))))) (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" ((trace "X" ((mapOptionTree (trace "X" ((\ht -> (trace "X" (MkLeveledHaskType (trace "X" ((\_ -> (trace "X" ((trace "X" (levels_to_tcode (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" ((\_ -> (trace "X" ((trace "X" (unlev (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (ht))))))))) (trace "X" ((trace "X" ((getlev (trace "X" (__U0393_0)) (trace "X" (ht)))))))))))))) (trace "X" (([])))))))) (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" ((\_ ite v -> (trace "X" ((trace "X" (flatten_rawtype (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (KindStar)) (trace "X" ((trace "X" ((__U03c3_ (trace "X" (__)) (trace "X" (ite)) (trace "X" (v))))))))))))))))))))))))))) (trace "X" (([])))))))))))) (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" ((\ht -> (trace "X" (MkLeveledHaskType (trace "X" ((\_ -> (trace "X" ((trace "X" (levels_to_tcode (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" ((\_ -> (trace "X" ((trace "X" (unlev (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (ht))))))))) (trace "X" ((trace "X" ((getlev (trace "X" (__U0393_0)) (trace "X" (ht)))))))))))))) (trace "X" (([])))))))) (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" ((\_ ite v -> (trace "X" ((trace "X" (flatten_rawtype (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (KindStar)) (trace "X" ((trace "X" ((__U03c3_ (trace "X" (__)) (trace "X" (ite)) (trace "X" (v)))))))))))))) (trace "X" ((\_ -> (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c4_)))))))))))))))))))))) (trace "X" (([])))))))))))) (trace "X" ((RAppT (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((trace "X" ((mapOptionTree (trace "X" ((\ht -> (trace "X" (MkLeveledHaskType (trace "X" ((\_ -> (trace "X" ((trace "X" (levels_to_tcode (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" ((\_ -> (trace "X" ((trace "X" (unlev (trace "X" (__U0393_0)) (trace "X" (KindStar)) (trace "X" (ht))))))))) (trace "X" ((trace "X" ((getlev (trace "X" (__U0393_0)) (trace "X" (ht)))))))))))))) (trace "X" (([])))))))) (trace "X" (__U03a3_))))))) (trace "X" (__U03ba_)) (trace "X" ((\_ ite v -> (trace "X" ((trace "X" (flatten_rawtype (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (KindStar)) (trace "X" ((trace "X" ((__U03c3_ (trace "X" (__)) (trace "X" (ite)) (trace "X" (v)))))))))))))) (trace "X" ((\_ -> (trace "X" ((trace "X" (flatten_type (trace "X" (unitTy)) (trace "X" (prodTy)) (trace "X" (gaTy)) (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c4_))))))))) (trace "X" (([]))))))))) (trace "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" (substT (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (KindStar)) (trace "X" (__U03c3_)) (trace "X" (__U03c4_))))))))))))))))))))) (trace "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" (haskTAll (trace "X" (__U0393_0)) (trace "X" (__U03ba_)) (trace "X" (__U03c3_))))))))))))))))))));
@@ -6351,8 +6379,8 @@ flatten_skolemized_proof hetmet_flatten hetmet_unflatten hetmet_id unitTy prodTy
                                                                      (:) 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" ('c')) (trace "X" (((:) (trace "X" ('o')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('r')) (trace "X" (((:) (trace "X" ('c')) (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" ('b')) (trace "X" (((:) (trace "X" ('s')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('r')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" ('c')) (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" ([])))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))}));
                                                        RLetRec __U0393_0 __U0394_0 lri x1 y t ->
                                                         (trace "X" (case (trace "X" (t)) of {
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-                                                                     (:) h2 lev -> (trace "X" ((trace "X" (Prelude.error (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" (((:) (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" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('n')) (trace "X" (((:) (trace "X" ('s')) (trace "X" (((:) (trace "X" ('i')) (trace "X" (((:) (trace "X" ('d')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('b')) (trace "X" (((:) (trace "X" ('r')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" ('c')) (trace "X" (((:) (trace "X" ('k')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" ('s')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('y')) (trace "X" (((:) (trace "X" ('e')) (trace "X" (((:) (trace "X" ('t')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('(')) (trace "X" (((:) (trace "X" ('F')) (trace "X" (((:) (trace "X" ('I')) (trace "X" (((:) (trace "X" ('X')) (trace "X" (((:) (trace "X" ('M')) (trace "X" (((:) (trace "X" ('E')) (trace "X" (((:) (trace "X" (')')) (trace "X" ([]))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))}));
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                                                        RCase __U0393_0 __U0394_0 lev tc __U03a3_ avars tbranches alts -> (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" ('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" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('(')) (trace "X" (((:) (trace "X" ('B')) (trace "X" (((:) (trace "X" ('I')) (trace "X" (((:) (trace "X" ('G')) (trace "X" (((:) (trace "X" (' ')) (trace "X" (((:) (trace "X" ('F')) (trace "X" (((:) (trace "X" ('I')) (trace "X" (((:) (trace "X" ('X')) (trace "X" (((:) (trace "X" ('M')) (trace "X" (((:) (trace "X" ('E')) (trace "X" (((:) (trace "X" (')')) (trace "X" ([]))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))}));
                                          SBrak __U0393_0 __U0394_0 t ec succ lev ->
                                           (trace "X" (case (trace "X" (lev)) of {
@@ -6574,9 +6602,9 @@ 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 -> Garrow
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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 -> Garrow
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(trace "X" (__U0393_0)) (trace "X" (ec0)) (trace "X" ((T_Branch (trace "X" (a)) (trace "X" (x))))) (trace "X" ((T_Branch (trace "X" (b)) (trace "X" (x))))) (trace "X" (env)))))))))) (trace "X" ((trace "X" ((ga_mk (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_0)) (trace "X" (ec0)) (trace "X" (a)) (trace "X" (b)) (trace "X" (env)))))))))))) (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" ((\_ -> (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" (b))))))))) (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" (x))))))))))))))))))))) (trace "X" ((\__U0393_0 __U0394_0 ec l a b c -> (trace "X" ((trace "X" (fToC2 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" ((\_ -> (trace "X" ((trace "X" (ga_mk (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_0)) (trace "X" (ec)) (trace "X" (a)) (trace "X" (b))))))))) (trace "X" ((\_ -> (trace "X" ((trace "X" (ga_mk (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_0)) (trace "X" (ec)) (trace "X" (b)) (trace "X" (c))))))))) (trace "X" ((\_ -> (trace "X" ((trace "X" (ga_mk (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_0)) (trace "X" (ec)) (trace "X" (a)) (trace "X" (c))))))))) (trace "X" (l)) (trace "X" ((trace "X" ((mkGlob4 (trace "X" (__U0393_0)) (trace "X" (__U0394_0)) (trace "X" (l)) (trace "X" (eCKind)) (trace "X" (KindStar)) (trace "X" (KindStar)) (trace "X" (KindStar)) (trace "X" (hetmet_pga_comp)) (trace "X" ((\ec0 a0 b0 c0 _ 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" ((ga_mk (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_0)) (trace "X" (ec0)) (trace "X" (a)) (trace "X" (b)) (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" ((ga_mk (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_0)) (trace "X" (ec0)) (trace "X" (b)) (trace "X" (c)) (trace "X" (env)))))))))) (trace "X" ((trace "X" ((ga_mk (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_0)) (trace "X" (ec0)) (trace "X" (a)) (trace "X" (c)) (trace "X" (env))))))))))))))) (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" ((\_ -> (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" (b))))))))) (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" (c))))))))))))))))))))) (trace "X" ((\__U0393_0 __U0394_0 ec l a b c -> (trace "X" ((trace "X" (Prelude.error (trace "X" (((:) (trace "X" ('g')) (trace "X" (((:) (trace "X" ('a')) (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" ('y')) (trace "X" ([]))))))))))))))))))))))))))))))))) (trace "X" ((\__U0393_0 __U0394_0 ec l a -> (trace "X" ((trace "X" (Prelude.error (trace "X" (((:) (trace "X" ('g')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" ('_')) (trace "X" (((:) (trace "X" ('k')) (trace "X" (((:) (trace "X" ('a')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('p')) (trace "X" (((:) (trace "X" ('a')) (trace "X" ([])))))))))))))))))))))))))))))))))))
 
 hetmet_brak' :: Var.Var -> WeakExprVar0
 hetmet_brak' hetmet_brak =
@@ -6598,8 +6626,8 @@ hetmet_flattened_id' :: Var.Var -> WeakExprVar0
 hetmet_flattened_id' hetmet_flattened_id =
   (trace "X" ((trace "X" (coreVarToWeakExprVarOrError (trace "X" (hetmet_flattened_id))))))
 
-coreToCoreExpr' :: Prelude.Bool -> Prelude.Bool -> Var.Var -> Var.Var -> Var.Var -> 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 -> (CoreSyn.Expr Var.Var) -> OrError (CoreSyn.Expr Var.Var)
-coreToCoreExpr' do_flatten do_skolemize hetmet_brak hetmet_esc hetmet_flatten hetmet_unflatten hetmet_flattened_id 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 cex =
+coreToCoreExpr' :: Prelude.Bool -> Prelude.Bool -> Var.Var -> Var.Var -> Var.Var -> 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 hetmet_flatten hetmet_unflatten hetmet_flattened_id 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 =
   (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 ->
@@ -6611,30 +6639,30 @@ coreToCoreExpr' do_flatten do_skolemize hetmet_brak hetmet_esc hetmet_flatten he
                                                                                                                                                                                                                   (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" ((hetmet_flatten' (trace "X" (hetmet_flatten))))))) (trace "X" ((trace "X" ((hetmet_unflatten' (trace "X" (hetmet_unflatten))))))) (trace "X" ((trace "X" ((hetmet_flattened_id' (trace "X" (hetmet_flattened_id))))))) (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" ((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" ((hetmet_flatten' (trace "X" (hetmet_flatten))))))) (trace "X" ((trace "X" ((hetmet_unflatten' (trace "X" (hetmet_unflatten))))))) (trace "X" ((trace "X" ((hetmet_flattened_id' (trace "X" (hetmet_flattened_id))))))) (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.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 -> Var.Var -> 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 -> (CoreSyn.Expr Var.Var) -> CoreSyn.Expr Var.Var
-coreToCoreExpr do_flatten do_skolemize hetmet_brak hetmet_esc hetmet_flatten hetmet_unflatten hetmet_flattened_id 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 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" (hetmet_flatten)) (trace "X" (hetmet_unflatten)) (trace "X" (hetmet_flattened_id)) (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" (ce)))))) of {
+coreToCoreExpr :: Prelude.Bool -> Prelude.Bool -> Var.Var -> Var.Var -> Var.Var -> 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 hetmet_flatten hetmet_unflatten hetmet_flattened_id 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" (hetmet_flatten)) (trace "X" (hetmet_unflatten)) (trace "X" (hetmet_flattened_id)) (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 {
                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 -> Var.Var -> 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 -> (CoreSyn.Bind Var.Var) -> CoreSyn.Bind Var.Var
-coreToCoreBind do_flatten do_skolemize hetmet_brak hetmet_esc hetmet_flatten hetmet_unflatten hetmet_flattened_id 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 binds =
+coreToCoreBind :: Prelude.Bool -> Prelude.Bool -> Var.Var -> Var.Var -> Var.Var -> 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 hetmet_flatten hetmet_unflatten hetmet_flattened_id 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 =
   (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" (hetmet_flatten)) (trace "X" (hetmet_unflatten)) (trace "X" (hetmet_flattened_id)) (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" (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" (hetmet_flatten)) (trace "X" (hetmet_unflatten)) (trace "X" (hetmet_flattened_id)) (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.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" (hetmet_flatten)) (trace "X" (hetmet_unflatten)) (trace "X" (hetmet_flattened_id)) (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" (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" (hetmet_flatten)) (trace "X" (hetmet_unflatten)) (trace "X" (hetmet_flattened_id)) (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)))))))))}))
 
-coqPassCoreToCore' :: Prelude.Bool -> Prelude.Bool -> Var.Var -> Var.Var -> Var.Var -> 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 -> (([]) (CoreSyn.Bind Var.Var)) -> ([]) (CoreSyn.Bind Var.Var)
-coqPassCoreToCore' do_flatten do_skolemize hetmet_brak hetmet_esc hetmet_flatten hetmet_unflatten hetmet_flattened_id 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 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" (hetmet_flatten)) (trace "X" (hetmet_unflatten)) (trace "X" (hetmet_flattened_id)) (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" (lbinds))))))
+coqPassCoreToCore' :: Prelude.Bool -> Prelude.Bool -> Var.Var -> Var.Var -> Var.Var -> 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 hetmet_flatten hetmet_unflatten hetmet_flattened_id 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" (hetmet_flatten)) (trace "X" (hetmet_unflatten)) (trace "X" (hetmet_flattened_id)) (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 -> Var.Var -> Var.Var -> Var.Var -> UniqSupply.UniqSupply -> (([]) (CoreSyn.Bind Var.Var)) -> TyCon.TyCon -> 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 -> Var.Var -> ([]) (CoreSyn.Bind Var.Var)
-coqPassCoreToCore do_flatten do_skolemize hetmet_brak hetmet_esc hetmet_flatten hetmet_unflatten hetmet_flattened_id uniqueSupply lbinds hetmet_PGArrowTyCon hetmet_PGArrow_unit_TyCon hetmet_PGArrow_tensor_TyCon hetmet_PGArrow_exponent_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_applyl hetmet_pga_applyr hetmet_pga_curryl hetmet_pga_curryr =
-  (trace "X" ((trace "X" (coqPassCoreToCore' (trace "X" (do_flatten)) (trace "X" (do_skolemize)) (trace "X" (hetmet_brak)) (trace "X" (hetmet_esc)) (trace "X" (hetmet_flatten)) (trace "X" (hetmet_unflatten)) (trace "X" (hetmet_flattened_id)) (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" (lbinds))))))
+coqPassCoreToCore :: Prelude.Bool -> Prelude.Bool -> Var.Var -> Var.Var -> Var.Var -> Var.Var -> Var.Var -> UniqSupply.UniqSupply -> (([]) (CoreSyn.Bind Var.Var)) -> TyCon.TyCon -> 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 -> Var.Var -> Var.Var -> Var.Var -> ([]) (CoreSyn.Bind Var.Var)
+coqPassCoreToCore do_flatten do_skolemize hetmet_brak hetmet_esc hetmet_flatten hetmet_unflatten hetmet_flattened_id uniqueSupply lbinds hetmet_PGArrowTyCon hetmet_PGArrow_unit_TyCon hetmet_PGArrow_tensor_TyCon hetmet_PGArrow_exponent_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_applyl hetmet_pga_applyr hetmet_pga_curryl hetmet_pga_curryr hetmet_pga_loopl hetmet_pga_loopr =
+  (trace "X" ((trace "X" (coqPassCoreToCore' (trace "X" (do_flatten)) (trace "X" (do_skolemize)) (trace "X" (hetmet_brak)) (trace "X" (hetmet_esc)) (trace "X" (hetmet_flatten)) (trace "X" (hetmet_unflatten)) (trace "X" (hetmet_flattened_id)) (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))))))