merged
authorhuffman
Sat, 10 Dec 2011 13:00:58 +0100
changeset 45806 0f1c049c147e
parent 45805 3c609e8785f2 (current diff)
parent 45802 b16f976db515 (diff)
child 45807 ff10ec0d62ea
merged
src/HOL/Library/Quotient_List.thy
--- a/src/HOL/IsaMakefile	Sat Dec 10 08:29:19 2011 +0100
+++ b/src/HOL/IsaMakefile	Sat Dec 10 13:00:58 2011 +0100
@@ -1508,7 +1508,8 @@
   Quotient_Examples/DList.thy Quotient_Examples/Quotient_Cset.thy \
   Quotient_Examples/FSet.thy Quotient_Examples/List_Quotient_Cset.thy \
   Quotient_Examples/Quotient_Int.thy Quotient_Examples/Quotient_Message.thy \
-  Quotient_Examples/Lift_Set.thy Quotient_Examples/Lift_RBT.thy
+  Quotient_Examples/Lift_Set.thy Quotient_Examples/Lift_RBT.thy \
+  Quotient_Examples/Lift_Fun.thy 
 	@$(ISABELLE_TOOL) usedir $(OUT)/HOL Quotient_Examples
 
 
--- a/src/HOL/Library/Quotient_List.thy	Sat Dec 10 08:29:19 2011 +0100
+++ b/src/HOL/Library/Quotient_List.thy	Sat Dec 10 13:00:58 2011 +0100
@@ -8,7 +8,7 @@
 imports Main Quotient_Syntax
 begin
 
-declare [[map list = (map, list_all2)]]
+declare [[map list = list_all2]]
 
 lemma map_id [id_simps]:
   "map id = id"
--- a/src/HOL/Library/Quotient_Option.thy	Sat Dec 10 08:29:19 2011 +0100
+++ b/src/HOL/Library/Quotient_Option.thy	Sat Dec 10 13:00:58 2011 +0100
@@ -16,7 +16,7 @@
 | "option_rel R None (Some x) = False"
 | "option_rel R (Some x) (Some y) = R x y"
 
-declare [[map option = (Option.map, option_rel)]]
+declare [[map option = option_rel]]
 
 lemma option_rel_unfold:
   "option_rel R x y = (case (x, y) of (None, None) \<Rightarrow> True
--- a/src/HOL/Library/Quotient_Product.thy	Sat Dec 10 08:29:19 2011 +0100
+++ b/src/HOL/Library/Quotient_Product.thy	Sat Dec 10 13:00:58 2011 +0100
@@ -13,7 +13,7 @@
 where
   "prod_rel R1 R2 = (\<lambda>(a, b) (c, d). R1 a c \<and> R2 b d)"
 
-declare [[map prod = (map_pair, prod_rel)]]
+declare [[map prod = prod_rel]]
 
 lemma prod_rel_apply [simp]:
   "prod_rel R1 R2 (a, b) (c, d) \<longleftrightarrow> R1 a c \<and> R2 b d"
--- a/src/HOL/Library/Quotient_Sum.thy	Sat Dec 10 08:29:19 2011 +0100
+++ b/src/HOL/Library/Quotient_Sum.thy	Sat Dec 10 13:00:58 2011 +0100
@@ -16,7 +16,7 @@
 | "sum_rel R1 R2 (Inr a2) (Inl b1) = False"
 | "sum_rel R1 R2 (Inr a2) (Inr b2) = R2 a2 b2"
 
-declare [[map sum = (sum_map, sum_rel)]]
+declare [[map sum = sum_rel]]
 
 lemma sum_rel_unfold:
   "sum_rel R1 R2 x y = (case (x, y) of (Inl x, Inl y) \<Rightarrow> R1 x y
--- a/src/HOL/Quickcheck.thy	Sat Dec 10 08:29:19 2011 +0100
+++ b/src/HOL/Quickcheck.thy	Sat Dec 10 13:00:58 2011 +0100
@@ -16,9 +16,7 @@
 
 subsection {* Catching Match exceptions *}
 
-definition catch_match :: "'a => 'a => 'a" (* "(bool * term list) option => (bool * term list) option => (bool * term list) option"*)
-where
-  [code del]: "catch_match t1 t2 = (SOME t. t = t1 \<or> t = t2)"
+axiomatization catch_match :: "'a => 'a => 'a"
 
 code_const catch_match 
   (Quickcheck "(_) handle Match => _")
@@ -157,9 +155,6 @@
 no_notation fcomp (infixl "\<circ>>" 60)
 no_notation scomp (infixl "\<circ>\<rightarrow>" 60)
 
-hide_fact catch_match_def
-hide_const (open) catch_match
-
 subsection {* The Random-Predicate Monad *} 
 
 fun iter' ::
@@ -220,9 +215,23 @@
 definition map :: "('a \<Rightarrow> 'b) \<Rightarrow> ('a randompred \<Rightarrow> 'b randompred)"
   where "map f P = bind P (single o f)"
 
-hide_fact (open) iter'.simps iter_def empty_def single_def bind_def union_def if_randompred_def iterate_upto_def not_randompred_def Random_def map_def
+hide_fact
+  random_bool_def random_bool_def_raw
+  random_itself_def random_itself_def_raw
+  random_char_def random_char_def_raw
+  random_literal_def random_literal_def_raw
+  random_nat_def random_nat_def_raw
+  random_int_def random_int_def_raw
+  random_fun_lift_def random_fun_lift_def_raw
+  random_fun_def random_fun_def_raw
+  collapse_def collapse_def_raw
+  beyond_def beyond_def_raw beyond_zero
+  random_aux_rec
+
+hide_const (open) catch_match random collapse beyond random_fun_aux random_fun_lift
+
+hide_fact (open) iter'.simps iter_def empty_def single_def bind_def union_def if_randompred_def iterate_upto_def not_randompred_def Random_def map_def 
 hide_type (open) randompred
-hide_const (open) random collapse beyond random_fun_aux random_fun_lift
-  iter' iter empty single bind union if_randompred iterate_upto not_randompred Random map
+hide_const (open) iter' iter empty single bind union if_randompred iterate_upto not_randompred Random map
 
 end
--- a/src/HOL/Quotient.thy	Sat Dec 10 08:29:19 2011 +0100
+++ b/src/HOL/Quotient.thy	Sat Dec 10 13:00:58 2011 +0100
@@ -671,8 +671,8 @@
 use "Tools/Quotient/quotient_info.ML"
 setup Quotient_Info.setup
 
-declare [[map "fun" = (map_fun, fun_rel)]]
-declare [[map set = (vimage, set_rel)]]
+declare [[map "fun" = fun_rel]]
+declare [[map set = set_rel]]
 
 lemmas [quot_thm] = fun_quotient
 lemmas [quot_respect] = quot_rel_rsp if_rsp o_rsp let_rsp id_rsp
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/HOL/Quotient_Examples/Lift_Fun.thy	Sat Dec 10 13:00:58 2011 +0100
@@ -0,0 +1,82 @@
+(*  Title:      HOL/Quotient_Examples/Lift_Fun.thy
+    Author:     Ondrej Kuncar
+*)
+
+header {* Example of lifting definitions with contravariant or co/contravariant type variables *}
+
+
+theory Lift_Fun
+imports Main
+begin
+
+text {* This file is meant as a test case for features introduced in the changeset 2d8949268303. 
+  It contains examples of lifting definitions with quotients that have contravariant 
+  type variables or type variables which are covariant and contravariant in the same time. *}
+
+subsection {* Contravariant type variables *}
+
+text {* 'a is a contravariant type variable and we are able to map over this variable
+  in the following four definitions. This example is based on HOL/Fun.thy. *}
+
+quotient_type
+('a, 'b) fun' (infixr "\<rightarrow>" 55) = "'a \<Rightarrow> 'b" / "op =" 
+  by (simp add: identity_equivp)
+
+quotient_definition "comp' :: ('b \<rightarrow> 'c) \<rightarrow> ('a \<rightarrow> 'b) \<rightarrow> 'a \<rightarrow> 'c"  is
+  "comp :: ('b \<Rightarrow> 'c) \<Rightarrow> ('a \<Rightarrow> 'b) \<Rightarrow> 'a \<Rightarrow> 'c"
+
+quotient_definition "fcomp' :: ('a \<Rightarrow> 'b) \<Rightarrow> ('b \<Rightarrow> 'c) \<Rightarrow> 'a \<Rightarrow> 'c" is 
+  fcomp
+
+quotient_definition "map_fun' :: ('c \<rightarrow> 'a) \<rightarrow> ('b \<rightarrow> 'd) \<rightarrow> ('a \<rightarrow> 'b) \<rightarrow> 'c \<rightarrow> 'd" 
+  is "map_fun::('c \<Rightarrow> 'a) \<Rightarrow> ('b \<Rightarrow> 'd) \<Rightarrow> ('a \<Rightarrow> 'b) \<Rightarrow> 'c \<Rightarrow> 'd"
+
+quotient_definition "inj_on' :: ('a \<rightarrow> 'b) \<rightarrow> 'a set \<rightarrow> bool" is inj_on
+
+quotient_definition "bij_betw' :: ('a \<rightarrow> 'b) \<rightarrow> 'a set \<rightarrow> 'b set \<rightarrow> bool" is bij_betw
+
+
+subsection {* Co/Contravariant type variables *} 
+
+text {* 'a is a covariant and contravariant type variable in the same time.
+  The following example is a bit artificial. We haven't had a natural one yet. *}
+
+quotient_type 'a endofun = "'a \<Rightarrow> 'a" / "op =" by (simp add: identity_equivp)
+
+definition map_endofun' :: "('a \<Rightarrow> 'b) \<Rightarrow> ('b \<Rightarrow> 'a) \<Rightarrow> ('a => 'a) \<Rightarrow> ('b => 'b)"
+  where "map_endofun' f g e = map_fun g f e"
+
+quotient_definition "map_endofun :: ('a \<Rightarrow> 'b) \<Rightarrow> ('b \<Rightarrow> 'a) \<Rightarrow> 'a endofun \<Rightarrow> 'b endofun" is
+  map_endofun'
+
+text {* Registration of the map function for 'a endofun. *}
+
+enriched_type map_endofun : map_endofun
+proof -
+  have "\<forall> x. abs_endofun (rep_endofun x) = x" using Quotient_endofun by (auto simp: Quotient_def)
+  then show "map_endofun id id = id" 
+    by (auto simp: map_endofun_def map_endofun'_def map_fun_def fun_eq_iff)
+  
+  have a:"\<forall> x. rep_endofun (abs_endofun x) = x" using Quotient_endofun 
+    Quotient_rep_abs[of "(op =)" abs_endofun rep_endofun] by blast
+  show "\<And>f g h i. map_endofun f g \<circ> map_endofun h i = map_endofun (f \<circ> h) (i \<circ> g)"
+    by (auto simp: map_endofun_def map_endofun'_def map_fun_def fun_eq_iff) (simp add: a o_assoc) 
+qed
+
+quotient_definition "endofun_id_id :: ('a endofun) endofun" is "id :: ('a \<Rightarrow> 'a) \<Rightarrow> ('a \<Rightarrow> 'a)"
+
+term  endofun_id_id
+thm  endofun_id_id_def
+
+quotient_type 'a endofun' = "'a endofun" / "op =" by (simp add: identity_equivp)
+
+text {* We have to map "'a endofun" to "('a endofun') endofun", i.e., mapping (lifting)
+  over a type variable which is a covariant and contravariant type variable. *}
+
+quotient_definition "endofun'_id_id :: ('a endofun') endofun'" is endofun_id_id
+
+term  endofun'_id_id
+thm  endofun'_id_id_def
+
+
+end
--- a/src/HOL/Quotient_Examples/ROOT.ML	Sat Dec 10 08:29:19 2011 +0100
+++ b/src/HOL/Quotient_Examples/ROOT.ML	Sat Dec 10 13:00:58 2011 +0100
@@ -5,5 +5,5 @@
 *)
 
 use_thys ["DList", "FSet", "Quotient_Int", "Quotient_Message", "Quotient_Cset",
-  "List_Quotient_Cset", "Lift_Set", "Lift_RBT"];
+  "List_Quotient_Cset", "Lift_Set", "Lift_RBT", "Lift_Fun"];
 
--- a/src/HOL/Tools/Nitpick/nitpick_hol.ML	Sat Dec 10 08:29:19 2011 +0100
+++ b/src/HOL/Tools/Nitpick/nitpick_hol.ML	Sat Dec 10 13:00:58 2011 +0100
@@ -720,12 +720,12 @@
   | is_rep_fun _ _ = false
 fun is_quot_abs_fun ctxt (x as (_, Type (@{type_name fun},
                                          [_, abs_T as Type (s', _)]))) =
-    try (Quotient_Term.absrep_const_chk Quotient_Term.AbsF ctxt) s'
+    try (Quotient_Term.absrep_const_chk ctxt Quotient_Term.AbsF) s'
     = SOME (Const x) andalso not (is_codatatype ctxt abs_T)
   | is_quot_abs_fun _ _ = false
 fun is_quot_rep_fun ctxt (x as (_, Type (@{type_name fun},
                                          [abs_T as Type (s', _), _]))) =
-    try (Quotient_Term.absrep_const_chk Quotient_Term.RepF ctxt) s'
+    try (Quotient_Term.absrep_const_chk ctxt Quotient_Term.RepF) s'
     = SOME (Const x) andalso not (is_codatatype ctxt abs_T)
   | is_quot_rep_fun _ _ = false
 
--- a/src/HOL/Tools/Quotient/quotient_def.ML	Sat Dec 10 08:29:19 2011 +0100
+++ b/src/HOL/Tools/Quotient/quotient_def.ML	Sat Dec 10 13:00:58 2011 +0100
@@ -64,7 +64,7 @@
           else error_msg binding lhs_str
       | _ => raise Match)
 
-    val absrep_trm = Quotient_Term.absrep_fun Quotient_Term.AbsF lthy (fastype_of rhs, lhs_ty) $ rhs
+    val absrep_trm = Quotient_Term.absrep_fun lthy Quotient_Term.AbsF (fastype_of rhs, lhs_ty) $ rhs
     val prop = Logic.mk_equals (lhs, Syntax.check_term lthy absrep_trm)
     val (_, prop') = Local_Defs.cert_def lthy prop
     val (_, newrhs) = Local_Defs.abs_def prop'
--- a/src/HOL/Tools/Quotient/quotient_info.ML	Sat Dec 10 08:29:19 2011 +0100
+++ b/src/HOL/Tools/Quotient/quotient_info.ML	Sat Dec 10 13:00:58 2011 +0100
@@ -6,7 +6,7 @@
 
 signature QUOTIENT_INFO =
 sig
-  type quotmaps = {mapfun: string, relmap: string}
+  type quotmaps = {relmap: string}
   val lookup_quotmaps: Proof.context -> string -> quotmaps option
   val lookup_quotmaps_global: theory -> string -> quotmaps option
   val print_quotmaps: Proof.context -> unit
@@ -54,7 +54,7 @@
 (* FIXME just one data slot (record) per program unit *)
 
 (* info about map- and rel-functions for a type *)
-type quotmaps = {mapfun: string, relmap: string}
+type quotmaps = {relmap: string}
 
 structure Quotmaps = Generic_Data
 (
@@ -72,20 +72,18 @@
 val quotmaps_attribute_setup =
   Attrib.setup @{binding map}
     ((Args.type_name false --| Scan.lift (Parse.$$$ "=")) --  (* FIXME Args.type_name true (requires "set" type) *)
-      (Scan.lift (Parse.$$$ "(") |-- Args.const_proper true --| Scan.lift (Parse.$$$ ",") --
-        Args.const_proper true --| Scan.lift (Parse.$$$ ")")) >>
-      (fn (tyname, (mapname, relname)) =>
-        let val minfo = {mapfun = mapname, relmap = relname}
+      Args.const_proper true >>
+      (fn (tyname, relname) =>
+        let val minfo = {relmap = relname}
         in Thm.declaration_attribute (fn _ => Quotmaps.map (Symtab.update (tyname, minfo))) end))
     "declaration of map information"
 
 fun print_quotmaps ctxt =
   let
-    fun prt_map (ty_name, {mapfun, relmap}) =
+    fun prt_map (ty_name, {relmap}) =
       Pretty.block (separate (Pretty.brk 2)
         (map Pretty.str
          ["type:", ty_name,
-          "map:", mapfun,
           "relation map:", relmap]))
   in
     map prt_map (Symtab.dest (Quotmaps.get (Context.Proof ctxt)))
--- a/src/HOL/Tools/Quotient/quotient_term.ML	Sat Dec 10 08:29:19 2011 +0100
+++ b/src/HOL/Tools/Quotient/quotient_term.ML	Sat Dec 10 13:00:58 2011 +0100
@@ -11,11 +11,11 @@
 
   datatype flag = AbsF | RepF
 
-  val absrep_fun: flag -> Proof.context -> typ * typ -> term
-  val absrep_fun_chk: flag -> Proof.context -> typ * typ -> term
+  val absrep_fun: Proof.context -> flag -> typ * typ -> term
+  val absrep_fun_chk: Proof.context -> flag -> typ * typ -> term
 
   (* Allows Nitpick to represent quotient types as single elements from raw type *)
-  val absrep_const_chk: flag -> Proof.context -> string -> term
+  val absrep_const_chk: Proof.context -> flag -> string -> term
 
   val equiv_relation: Proof.context -> typ * typ -> term
   val equiv_relation_chk: Proof.context -> typ * typ -> term
@@ -62,53 +62,30 @@
     AbsF => Const (@{const_name comp}, dummyT) $ trm1 $ trm2
   | RepF => Const (@{const_name comp}, dummyT) $ trm2 $ trm1
 
-fun get_mapfun thy s =
-  (case Quotient_Info.lookup_quotmaps_global thy s of
-    SOME map_data => Const (#mapfun map_data, dummyT)
-  | NONE => raise LIFT_MATCH ("No map function for type " ^ quote s ^ " found."))
+fun get_mapfun_data ctxt s =
+  (case Symtab.lookup (Enriched_Type.entries ctxt) s of
+    SOME [map_data] => (case try dest_Const (#mapper map_data) of
+      SOME (c, _) => (Const (c, dummyT), #variances map_data)
+    | NONE => raise LIFT_MATCH ("map function for type " ^ quote s ^ " is not a constant."))
+  | SOME _ => raise LIFT_MATCH ("map function for type " ^ quote s ^ " is non-singleton entry.")
+  | NONE => raise LIFT_MATCH ("No map function for type " ^ quote s ^ " found.")) 
 
+fun defined_mapfun_data ctxt s =
+  Symtab.defined (Enriched_Type.entries ctxt) s
+  
 (* makes a Free out of a TVar *)
 fun mk_Free (TVar ((x, i), _)) = Free (unprefix "'" x ^ string_of_int i, dummyT)
 
-(* produces an aggregate map function for the
-   rty-part of a quotient definition; abstracts
-   over all variables listed in vs (these variables
-   correspond to the type variables in rty)
-
-   for example for: (?'a list * ?'b)
-   it produces:     %a b. prod_map (map a) b
-*)
-fun mk_mapfun thy vs rty =
-  let
-    val vs' = map mk_Free vs
-
-    fun mk_mapfun_aux rty =
-      case rty of
-        TVar _ => mk_Free rty
-      | Type (_, []) => mk_identity rty
-      | Type (s, tys) => list_comb (get_mapfun thy s, map mk_mapfun_aux tys)
-      | _ => raise LIFT_MATCH "mk_mapfun (default)"
-  in
-    fold_rev Term.lambda vs' (mk_mapfun_aux rty)
-  end
-
 (* looks up the (varified) rty and qty for
    a quotient definition
 *)
-fun get_rty_qty thy s =
-  (case Quotient_Info.lookup_quotients_global thy s of
-    SOME qdata => (#rtyp qdata, #qtyp qdata)
-  | NONE => raise LIFT_MATCH ("No quotient type " ^ quote s ^ " found."))
-
-(* takes two type-environments and looks
-   up in both of them the variable v, which
-   must be listed in the environment
-*)
-fun double_lookup rtyenv qtyenv v =
+fun get_rty_qty ctxt s =
   let
-    val v' = fst (dest_TVar v)
+    val thy = Proof_Context.theory_of ctxt
   in
-    (snd (the (Vartab.lookup rtyenv v')), snd (the (Vartab.lookup qtyenv v')))
+    (case Quotient_Info.lookup_quotients_global thy s of
+      SOME qdata => (#rtyp qdata, #qtyp qdata)
+    | NONE => raise LIFT_MATCH ("No quotient type " ^ quote s ^ " found."))
   end
 
 (* matches a type pattern with a type *)
@@ -121,7 +98,7 @@
   end
 
 (* produces the rep or abs constant for a qty *)
-fun absrep_const flag ctxt qty_str =
+fun absrep_const ctxt flag qty_str =
   let
     (* FIXME *)
     fun mk_dummyT (Const (c, _)) = Const (c, dummyT)
@@ -137,8 +114,8 @@
   end
   
 (* Lets Nitpick represent elements of quotient types as elements of the raw type *)
-fun absrep_const_chk flag ctxt qty_str =
-  Syntax.check_term ctxt (absrep_const flag ctxt qty_str)
+fun absrep_const_chk ctxt flag qty_str =
+  Syntax.check_term ctxt (absrep_const ctxt flag qty_str)
 
 fun absrep_match_err ctxt ty_pat ty =
   let
@@ -193,52 +170,71 @@
      identity maps.
 *)
 
-fun absrep_fun flag ctxt (rty, qty) =
+fun absrep_fun ctxt flag (rty, qty) =
   let
-    val thy = Proof_Context.theory_of ctxt
+    fun absrep_args tys tys' variances =
+      let
+        fun absrep_arg (types, (_, variant)) =
+          (case variant of
+            (false, false) => []
+          | (true, false) => [(absrep_fun ctxt flag types)]
+          | (false, true) => [(absrep_fun ctxt (negF flag) types)]
+          | (true, true) => [(absrep_fun ctxt flag types),(absrep_fun ctxt (negF flag) types)])
+      in
+        maps absrep_arg ((tys ~~ tys') ~~ variances)
+      end
+    fun test_identities tys rtys' s s' =
+      let
+        val args = map (absrep_fun ctxt flag) (tys ~~ rtys')
+      in
+        if forall is_identity args
+        then 
+          absrep_const ctxt flag s'
+        else 
+          raise LIFT_MATCH ("No map function for type " ^ quote s ^ " found.")
+      end
   in
     if rty = qty
     then mk_identity rty
     else
       case (rty, qty) of
-        (Type ("fun", [ty1, ty2]), Type ("fun", [ty1', ty2'])) =>
-          let
-            val arg1 = absrep_fun (negF flag) ctxt (ty1, ty1')
-            val arg2 = absrep_fun flag ctxt (ty2, ty2')
-          in
-            list_comb (get_mapfun thy "fun", [arg1, arg2])
-          end
-  (* FIXME: use type_name antiquotation if set type becomes explicit *)
-      | (Type ("Set.set", [ty]), Type ("Set.set", [ty'])) =>
-          let
-            val arg = absrep_fun (negF flag) ctxt (ty, ty')
-          in
-            get_mapfun thy "Set.set" $ arg
-          end
-      | (Type (s, tys), Type (s', tys')) =>
+        (Type (s, tys), Type (s', tys')) =>
           if s = s'
           then
             let
-              val args = map (absrep_fun flag ctxt) (tys ~~ tys')
+              val (map_fun, variances) = get_mapfun_data ctxt s
+              val args = absrep_args tys tys' variances
             in
-              list_comb (get_mapfun thy s, args)
+              list_comb (map_fun, args)
             end
           else
             let
-              val (rty_pat, qty_pat as Type (_, vs)) = get_rty_qty thy s'
-              val rtyenv = match ctxt absrep_match_err rty_pat rty
+              val (Type (_, rtys), qty_pat) = get_rty_qty ctxt s'
               val qtyenv = match ctxt absrep_match_err qty_pat qty
-              val args_aux = map (double_lookup rtyenv qtyenv) vs
-              val args = map (absrep_fun flag ctxt) args_aux
+              val rtys' = map (Envir.subst_type qtyenv) rtys
             in
-              if forall is_identity args
-              then absrep_const flag ctxt s'
+              if not (defined_mapfun_data ctxt s)
+              then
+                (*
+                    If we don't know a map function for the raw type,
+                    we are not necessarilly in troubles because
+                    it can still be the case we don't need the map 
+                    function <=> all abs/rep functions are identities.
+                *)
+                test_identities tys rtys' s s'
               else
                 let
-                  val map_fun = mk_mapfun thy vs rty_pat
-                  val result = list_comb (map_fun, args)
+                  val (map_fun, variances) = get_mapfun_data ctxt s
+                  val args = absrep_args tys rtys' variances
                 in
-                  mk_fun_compose flag (absrep_const flag ctxt s', result)
+                  if forall is_identity args
+                  then absrep_const ctxt flag s'
+                  else
+                    let
+                      val result = list_comb (map_fun, args)
+                    in
+                      mk_fun_compose flag (absrep_const ctxt flag s', result)
+                    end
                 end
             end
       | (TFree x, TFree x') =>
@@ -249,13 +245,12 @@
       | _ => raise (LIFT_MATCH "absrep_fun (default)")
   end
 
-fun absrep_fun_chk flag ctxt (rty, qty) =
-  absrep_fun flag ctxt (rty, qty)
+fun absrep_fun_chk ctxt flag (rty, qty) =
+  absrep_fun ctxt flag (rty, qty)
   |> Syntax.check_term ctxt
 
 
 
-
 (*** Aggregate Equivalence Relation ***)
 
 
@@ -284,6 +279,17 @@
     SOME map_data => Const (#relmap map_data, dummyT)
   | NONE => raise LIFT_MATCH ("get_relmap (no relation map function found for type " ^ s ^ ")"))
 
+(* takes two type-environments and looks
+   up in both of them the variable v, which
+   must be listed in the environment
+*)
+fun double_lookup rtyenv qtyenv v =
+  let
+    val v' = fst (dest_TVar v)
+  in
+    (snd (the (Vartab.lookup rtyenv v')), snd (the (Vartab.lookup qtyenv v')))
+  end
+
 fun mk_relmap ctxt vs rty =
   let
     val vs' = map (mk_Free) vs
@@ -316,43 +322,40 @@
    that will be the argument of Respects
 *)
 fun equiv_relation ctxt (rty, qty) =
-  let
-    val thy = Proof_Context.theory_of ctxt
-  in
-    if rty = qty
-    then HOLogic.eq_const rty
-    else
-      case (rty, qty) of
-        (Type (s, tys), Type (s', tys')) =>
-          if s = s'
-          then
-            let
-              val args = map (equiv_relation ctxt) (tys ~~ tys')
-            in
-              list_comb (get_relmap ctxt s, args)
-            end
-          else
-            let
-              val (rty_pat, qty_pat as Type (_, vs)) = get_rty_qty thy s'
-              val rtyenv = match ctxt equiv_match_err rty_pat rty
-              val qtyenv = match ctxt equiv_match_err qty_pat qty
-              val args_aux = map (double_lookup rtyenv qtyenv) vs
-              val args = map (equiv_relation ctxt) args_aux
-              val eqv_rel = get_equiv_rel ctxt s'
-              val eqv_rel' = force_typ ctxt eqv_rel ([rty, rty] ---> @{typ bool})
-            in
-              if forall is_eq args
-              then eqv_rel'
-              else
-                let
-                  val rel_map = mk_relmap ctxt vs rty_pat
-                  val result = list_comb (rel_map, args)
-                in
-                  mk_rel_compose (result, eqv_rel')
-                end
-            end
-      | _ => HOLogic.eq_const rty
-  end
+  if rty = qty
+  then HOLogic.eq_const rty
+  else
+    case (rty, qty) of
+      (Type (s, tys), Type (s', tys')) =>
+        if s = s'
+        then
+          let
+            val args = map (equiv_relation ctxt) (tys ~~ tys')
+          in
+            list_comb (get_relmap ctxt s, args)
+          end
+        else
+          let
+            val (rty_pat, qty_pat as Type (_, vs)) = get_rty_qty ctxt s'
+            val rtyenv = match ctxt equiv_match_err rty_pat rty
+            val qtyenv = match ctxt equiv_match_err qty_pat qty
+            val args_aux = map (double_lookup rtyenv qtyenv) vs
+            val args = map (equiv_relation ctxt) args_aux
+            val eqv_rel = get_equiv_rel ctxt s'
+            val eqv_rel' = force_typ ctxt eqv_rel ([rty, rty] ---> @{typ bool})
+          in
+            if forall is_eq args
+            then eqv_rel'
+            else
+              let
+                val rel_map = mk_relmap ctxt vs rty_pat
+                val result = list_comb (rel_map, args)
+              in
+                mk_rel_compose (result, eqv_rel')
+              end
+          end
+    | _ => HOLogic.eq_const rty
+
 
 fun equiv_relation_chk ctxt (rty, qty) =
   equiv_relation ctxt (rty, qty)
@@ -642,7 +645,7 @@
 *)
 
 fun mk_repabs ctxt (T, T') trm =
-  absrep_fun RepF ctxt (T, T') $ (absrep_fun AbsF ctxt (T, T') $ trm)
+  absrep_fun ctxt RepF (T, T') $ (absrep_fun ctxt AbsF (T, T') $ trm)
 
 fun inj_repabs_err ctxt msg rtrm qtrm =
   let
--- a/src/HOL/Tools/Quotient/quotient_type.ML	Sat Dec 10 08:29:19 2011 +0100
+++ b/src/HOL/Tools/Quotient/quotient_type.ML	Sat Dec 10 13:00:58 2011 +0100
@@ -197,13 +197,13 @@
   end
 
 (* check for existence of map functions *)
-fun map_check thy (_, (rty, _, _), _) =
+fun map_check ctxt (_, (rty, _, _), _) =
   let
     fun map_check_aux rty warns =
       (case rty of
         Type (_, []) => warns
       | Type (s, _) =>
-          if is_some (Quotient_Info.lookup_quotmaps_global thy s) then warns else s :: warns
+          if Symtab.defined (Enriched_Type.entries ctxt) s then warns else s :: warns
       | _ => warns)
 
     val warns = map_check_aux rty []
@@ -234,7 +234,7 @@
   let
     (* sanity check *)
     val _ = List.app sanity_check quot_list
-    val _ = List.app (map_check (Proof_Context.theory_of lthy)) quot_list
+    val _ = List.app (map_check lthy) quot_list
 
     fun mk_goal (rty, rel, partial) =
       let