src/Pure/Isar/class.ML
author haftmann
Tue Oct 16 23:12:45 2007 +0200 (2007-10-16)
changeset 25062 af5ef0d4d655
parent 25060 17c313217998
child 25066 344b9611c150
permissions -rw-r--r--
global class syntax
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(*  Title:      Pure/Isar/class.ML
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    ID:         $Id$
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    Author:     Florian Haftmann, TU Muenchen
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Type classes derived from primitive axclasses and locales.
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*)
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signature CLASS =
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sig
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  val fork_mixfix: bool -> bool -> mixfix -> (mixfix * mixfix) * mixfix
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  val axclass_cmd: bstring * xstring list
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    -> ((bstring * Attrib.src list) * string list) list
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    -> theory -> class * theory
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  val classrel_cmd: xstring * xstring -> theory -> Proof.state
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  val class: bstring -> class list -> Element.context_i Locale.element list
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    -> string list -> theory -> string * Proof.context
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  val class_cmd: bstring -> xstring list -> Element.context Locale.element list
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    -> xstring list -> theory -> string * Proof.context
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  val init: class -> Proof.context -> Proof.context
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  val add_const_in_class: string -> (string * mixfix) * term
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    -> theory -> string * theory
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  val add_abbrev_in_class: string -> Syntax.mode -> (string * mixfix) * term
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    -> theory -> string * theory
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  val remove_constraint: class -> string -> Proof.context -> Proof.context
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  val is_class: theory -> class -> bool
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  val these_params: theory -> sort -> (string * (string * typ)) list
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  val intro_classes_tac: thm list -> tactic
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  val default_intro_classes_tac: thm list -> tactic
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  val print_classes: theory -> unit
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  val uncheck: bool ref
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  val instance_arity: (theory -> theory) -> arity list -> theory -> Proof.state
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  val instance: arity list -> ((bstring * Attrib.src list) * term) list
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    -> (thm list -> theory -> theory)
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    -> theory -> Proof.state
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  val instance_cmd: (bstring * xstring list * xstring) list
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    -> ((bstring * Attrib.src list) * xstring) list
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    -> (thm list -> theory -> theory)
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    -> theory -> Proof.state
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  val prove_instance: tactic -> arity list
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    -> ((bstring * Attrib.src list) * term) list
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    -> theory -> thm list * theory
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  val unoverload: theory -> conv
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  val overload: theory -> conv
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  val unoverload_const: theory -> string * typ -> string
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  val inst_const: theory -> string * string -> string
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  val param_const: theory -> string -> (string * string) option
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end;
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structure Class : CLASS =
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struct
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(** auxiliary **)
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val classN = "class";
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val introN = "intro";
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fun fork_mixfix false _ mx = ((NoSyn, NoSyn), mx)
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  | fork_mixfix true false mx = ((NoSyn, mx), NoSyn)
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  | fork_mixfix true true mx = ((mx, NoSyn), NoSyn);
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      (*let
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        val mx' = Syntax.unlocalize_mixfix mx;
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      in if mx' = mx then ((NoSyn, mx), NoSyn) else ((mx', mx), NoSyn) end;*)
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fun prove_interpretation tac prfx_atts expr inst =
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  Locale.interpretation_i I prfx_atts expr inst
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  #> Proof.global_terminal_proof
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      (Method.Basic (K (Method.SIMPLE_METHOD tac), Position.none), NONE)
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  #> ProofContext.theory_of;
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fun OF_LAST thm1 thm2 = thm1 RSN (Thm.nprems_of thm2, thm2);
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fun strip_all_ofclass thy sort =
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  let
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    val typ = TVar ((Name.aT, 0), sort);
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    fun prem_inclass t =
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      case Logic.strip_imp_prems t
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       of ofcls :: _ => try Logic.dest_inclass ofcls
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        | [] => NONE;
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    fun strip_ofclass class thm =
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      thm OF (fst o AxClass.of_sort thy (typ, [class])) AxClass.cache;
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    fun strip thm = case (prem_inclass o Thm.prop_of) thm
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     of SOME (_, class) => thm |> strip_ofclass class |> strip
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      | NONE => thm;
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  in strip end;
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fun get_remove_global_constraint c thy =
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  let
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    val ty = Sign.the_const_constraint thy c;
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  in
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    thy
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    |> Sign.add_const_constraint (c, NONE)
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    |> pair (c, Logic.unvarifyT ty)
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  end;
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(** axclass command **)
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fun axclass_cmd (class, raw_superclasses) raw_specs thy =
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  let
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    val ctxt = ProofContext.init thy;
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    val superclasses = map (Sign.read_class thy) raw_superclasses;
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    val name_atts = map ((apsnd o map) (Attrib.attribute thy) o fst)
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      raw_specs;
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    val axiomss = ProofContext.read_propp (ctxt, map (map (rpair []) o snd)
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          raw_specs)
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      |> snd
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      |> (map o map) fst;
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  in
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    AxClass.define_class (class, superclasses) []
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      (name_atts ~~ axiomss) thy
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  end;
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local
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fun gen_instance mk_prop add_thm after_qed insts thy =
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  let
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    fun after_qed' results =
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      ProofContext.theory ((fold o fold) add_thm results #> after_qed);
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  in
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    thy
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    |> ProofContext.init
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    |> Proof.theorem_i NONE after_qed' ((map (fn t => [(t, [])])
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        o maps (mk_prop thy)) insts)
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  end;
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in
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val instance_arity =
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  gen_instance (Logic.mk_arities oo Sign.cert_arity) AxClass.add_arity;
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val classrel =
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  gen_instance (single oo (Logic.mk_classrel oo AxClass.cert_classrel))
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    AxClass.add_classrel I o single;
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val classrel_cmd =
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  gen_instance (single oo (Logic.mk_classrel oo AxClass.read_classrel))
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    AxClass.add_classrel I o single;
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end; (*local*)
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(** explicit constants for overloaded definitions **)
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structure InstData = TheoryDataFun
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(
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  type T = (string * thm) Symtab.table Symtab.table * (string * string) Symtab.table;
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    (*constant name ~> type constructor ~> (constant name, equation),
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        constant name ~> (constant name, type constructor)*)
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  val empty = (Symtab.empty, Symtab.empty);
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  val copy = I;
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  val extend = I;
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  fun merge _ ((taba1, tabb1), (taba2, tabb2)) =
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    (Symtab.join (K (Symtab.merge (K true))) (taba1, taba2),
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      Symtab.merge (K true) (tabb1, tabb2));
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);
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fun inst_thms thy = (Symtab.fold (Symtab.fold (cons o snd o snd) o snd) o fst)
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    (InstData.get thy) [];
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fun add_inst (c, tyco) inst = (InstData.map o apfst
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      o Symtab.map_default (c, Symtab.empty)) (Symtab.update_new (tyco, inst))
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  #> (InstData.map o apsnd) (Symtab.update_new (fst inst, (c, tyco)));
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fun unoverload thy = MetaSimplifier.rewrite true (inst_thms thy);
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fun overload thy = MetaSimplifier.rewrite true (map Thm.symmetric (inst_thms thy));
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fun inst_const thy (c, tyco) =
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  (fst o the o Symtab.lookup ((the o Symtab.lookup (fst (InstData.get thy))) c)) tyco;
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fun unoverload_const thy (c_ty as (c, _)) =
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  case AxClass.class_of_param thy c
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   of SOME class => (case Sign.const_typargs thy c_ty
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       of [Type (tyco, _)] => (case Symtab.lookup
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           ((the o Symtab.lookup (fst (InstData.get thy))) c) tyco
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             of SOME (c, _) => c
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              | NONE => c)
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        | [_] => c)
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    | NONE => c;
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val param_const = Symtab.lookup o snd o InstData.get;
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fun add_inst_def (class, tyco) (c, ty) thy =
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  let
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    val tyco_base = Sign.base_name tyco;
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    val name_inst = Sign.base_name class ^ "_" ^ tyco_base ^ "_inst";
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    val c_inst_base = Sign.base_name c ^ "_" ^ tyco_base;
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  in
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    thy
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    |> Sign.sticky_prefix name_inst
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    |> Sign.declare_const [] (c_inst_base, ty, NoSyn)
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    |-> (fn const as Const (c_inst, _) =>
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      PureThy.add_defs_i false
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        [((Thm.def_name c_inst_base, Logic.mk_equals (const, Const (c, ty))), [])]
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      #-> (fn [thm] => add_inst (c, tyco) (c_inst, Thm.symmetric thm)))
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    |> Sign.restore_naming thy
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  end;
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fun add_inst_def' (class, tyco) (c, ty) thy =
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  if case Symtab.lookup (fst (InstData.get thy)) c
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   of NONE => true
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    | SOME tab => is_none (Symtab.lookup tab tyco)
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  then add_inst_def (class, tyco) (c, Logic.unvarifyT ty) thy
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  else thy;
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fun add_def ((class, tyco), ((name, prop), atts)) thy =
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  let
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    val ((lhs as Const (c, ty), args), rhs) =
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      (apfst Term.strip_comb o Logic.dest_equals) prop;
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    fun (*add_inst' def ([], (Const (c_inst, ty))) =
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          if forall (fn TFree _ => true | _ => false) (Sign.const_typargs thy (c_inst, ty))
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          then add_inst (c, tyco) (c_inst, def)
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          else add_inst_def (class, tyco) (c, ty)
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      |*) add_inst' _ t = add_inst_def (class, tyco) (c, ty);
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  in
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    thy
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    |> PureThy.add_defs_i true [((name, prop), map (Attrib.attribute_i thy) atts)]
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    |-> (fn [def] => add_inst' def (args, rhs) #> pair def)
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  end;
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(** instances with implicit parameter handling **)
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local
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fun gen_read_def thy prep_att parse_prop ((raw_name, raw_atts), raw_t) =
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  let
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    val ctxt = ProofContext.init thy;
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    val t = parse_prop ctxt raw_t |> Syntax.check_prop ctxt;
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    val ((c, ty), _) = Sign.cert_def ctxt t;
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    val atts = map (prep_att thy) raw_atts;
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    val insts = Consts.typargs (Sign.consts_of thy) (c, ty);
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    val name = case raw_name
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     of "" => NONE
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      | _ => SOME raw_name;
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  in (c, (insts, ((name, t), atts))) end;
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fun read_def_cmd thy = gen_read_def thy Attrib.intern_src Syntax.parse_prop;
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fun read_def thy = gen_read_def thy (K I) (K I);
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fun gen_instance prep_arity read_def do_proof raw_arities raw_defs after_qed theory =
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  let
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    val arities = map (prep_arity theory) raw_arities;
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    val _ = if null arities then error "At least one arity must be given" else ();
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    val _ = case (duplicates (op =) o map #1) arities
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     of [] => ()
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      | dupl_tycos => error ("Type constructors occur more than once in arities: "
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          ^ commas_quote dupl_tycos);
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    fun get_consts_class tyco ty class =
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      let
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        val cs = (these o try (#params o AxClass.get_info theory)) class;
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        val subst_ty = map_type_tfree (K ty);
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      in
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        map (fn (c, ty) => (c, ((class, tyco), subst_ty ty))) cs
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      end;
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    fun get_consts_sort (tyco, asorts, sort) =
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      let
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        val ty = Type (tyco, map (fn (v, sort) => TVar ((v, 0), sort))
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          (Name.names Name.context Name.aT asorts))
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      in maps (get_consts_class tyco ty) (Sign.complete_sort theory sort) end;
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    val cs = maps get_consts_sort arities;
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    fun mk_typnorm thy (ty, ty_sc) =
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      case try (Sign.typ_match thy (Logic.varifyT ty_sc, ty)) Vartab.empty
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       of SOME env => SOME (Logic.varifyT #> Envir.typ_subst_TVars env #> Logic.unvarifyT)
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        | NONE => NONE;
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    fun read_defs defs cs thy_read =
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      let
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        fun read raw_def cs =
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          let
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            val (c, (inst, ((name_opt, t), atts))) = read_def thy_read raw_def;
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            val ty = Consts.instance (Sign.consts_of thy_read) (c, inst);
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            val ((class, tyco), ty') = case AList.lookup (op =) cs c
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             of NONE => error ("Illegal definition for constant " ^ quote c)
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              | SOME class_ty => class_ty;
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            val name = case name_opt
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             of NONE => Thm.def_name (Logic.name_arity (tyco, [], c))
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              | SOME name => name;
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            val t' = case mk_typnorm thy_read (ty', ty)
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             of NONE => error ("Illegal definition for constant " ^
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                  quote (c ^ "::" ^ setmp show_sorts true
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                    (Sign.string_of_typ thy_read) ty))
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              | SOME norm => map_types norm t
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          in (((class, tyco), ((name, t'), atts)), AList.delete (op =) c cs) end;
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      in fold_map read defs cs end;
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    val (defs, other_cs) = read_defs raw_defs cs
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      (fold Sign.primitive_arity arities (Theory.copy theory));
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    fun after_qed' cs defs =
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      fold Sign.add_const_constraint (map (apsnd SOME) cs)
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      #> after_qed defs;
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  in
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    theory
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    |> fold_map get_remove_global_constraint (map fst cs |> distinct (op =))
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    ||>> fold_map add_def defs
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    ||> fold (fn (c, ((class, tyco), ty)) => add_inst_def' (class, tyco) (c, ty)) other_cs
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    |-> (fn (cs, defs) => do_proof (after_qed' cs defs) arities defs)
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  end;
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fun tactic_proof tac f arities defs =
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  fold (fn arity => AxClass.prove_arity arity tac) arities
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  #> f
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  #> pair defs;
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in
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val instance = gen_instance Sign.cert_arity read_def
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  (fn f => fn arities => fn defs => instance_arity f arities);
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val instance_cmd = gen_instance Sign.read_arity read_def_cmd
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  (fn f => fn arities => fn defs => instance_arity f arities);
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fun prove_instance tac arities defs =
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  gen_instance Sign.cert_arity read_def
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    (tactic_proof tac) arities defs (K I);
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end; (*local*)
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(** class data **)
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datatype class_data = ClassData of {
haftmann@24218
   318
  consts: (string * string) list
haftmann@24836
   319
    (*locale parameter ~> constant name*),
haftmann@25062
   320
  base_sort: sort,
haftmann@25038
   321
  inst: (typ option list * term option list) * term Symtab.table
haftmann@25038
   322
    (*canonical interpretation FIXME*),
haftmann@25062
   323
  morphism: morphism,
haftmann@25062
   324
    (*partial morphism of canonical interpretation*)
haftmann@24657
   325
  intro: thm,
haftmann@24657
   326
  defs: thm list,
haftmann@25062
   327
  operations: (string * ((term * typ) * (typ * int))) list
haftmann@25062
   328
    (*constant name ~> (locale term & typ,
haftmann@25062
   329
        (constant constraint, instantiaton index of class typ))*)
haftmann@24657
   330
};
haftmann@24218
   331
haftmann@24657
   332
fun rep_class_data (ClassData d) = d;
haftmann@25062
   333
fun mk_class_data ((consts, base_sort, inst, morphism, intro),
haftmann@25062
   334
    (defs, operations)) =
haftmann@25062
   335
  ClassData { consts = consts, base_sort = base_sort, inst = inst,
haftmann@25062
   336
    morphism = morphism, intro = intro, defs = defs,
haftmann@25062
   337
    operations = operations };
haftmann@25062
   338
fun map_class_data f (ClassData { consts, base_sort, inst, morphism, intro,
haftmann@25062
   339
    defs, operations }) =
haftmann@25062
   340
  mk_class_data (f ((consts, base_sort, inst, morphism, intro),
haftmann@25062
   341
    (defs, operations)));
haftmann@25038
   342
fun merge_class_data _ (ClassData { consts = consts,
haftmann@25062
   343
    base_sort = base_sort, inst = inst, morphism = morphism, intro = intro,
haftmann@25062
   344
    defs = defs1, operations = operations1 },
haftmann@25062
   345
  ClassData { consts = _, base_sort = _, inst = _, morphism = _, intro = _,
haftmann@25062
   346
    defs = defs2, operations = operations2 }) =
haftmann@25062
   347
  mk_class_data ((consts, base_sort, inst, morphism, intro),
haftmann@24914
   348
    (Thm.merge_thms (defs1, defs2),
haftmann@25062
   349
      AList.merge (op =) (K true) (operations1, operations2)));
haftmann@24218
   350
haftmann@24218
   351
structure ClassData = TheoryDataFun
haftmann@24218
   352
(
haftmann@25038
   353
  type T = class_data Graph.T
haftmann@25038
   354
  val empty = Graph.empty;
haftmann@24218
   355
  val copy = I;
haftmann@24218
   356
  val extend = I;
haftmann@25038
   357
  fun merge _ = Graph.join merge_class_data;
haftmann@24218
   358
);
haftmann@24218
   359
haftmann@24218
   360
haftmann@24218
   361
(* queries *)
haftmann@24218
   362
haftmann@25038
   363
val lookup_class_data = Option.map rep_class_data oo try o Graph.get_node o ClassData.get;
haftmann@24218
   364
haftmann@24589
   365
fun the_class_data thy class = case lookup_class_data thy class
wenzelm@25020
   366
 of NONE => error ("Undeclared class " ^ quote class)
haftmann@24589
   367
  | SOME data => data;
haftmann@24218
   368
haftmann@25038
   369
val is_class = is_some oo lookup_class_data;
haftmann@25038
   370
haftmann@25038
   371
val ancestry = Graph.all_succs o ClassData.get;
haftmann@24218
   372
haftmann@25002
   373
fun these_params thy =
haftmann@24218
   374
  let
haftmann@24218
   375
    fun params class =
haftmann@24218
   376
      let
wenzelm@24930
   377
        val const_typs = (#params o AxClass.get_info thy) class;
haftmann@24657
   378
        val const_names = (#consts o the_class_data thy) class;
haftmann@24218
   379
      in
haftmann@24218
   380
        (map o apsnd) (fn c => (c, (the o AList.lookup (op =) const_typs) c)) const_names
haftmann@24218
   381
      end;
haftmann@24218
   382
  in maps params o ancestry thy end;
haftmann@24218
   383
haftmann@24657
   384
fun these_defs thy = maps (these o Option.map #defs o lookup_class_data thy) o ancestry thy;
haftmann@24218
   385
haftmann@25062
   386
fun morphism thy = #morphism o the_class_data thy;
haftmann@25062
   387
haftmann@24218
   388
fun these_intros thy =
haftmann@24657
   389
  Graph.fold (fn (_, (data, _)) => insert Thm.eq_thm ((#intro o rep_class_data) data))
haftmann@25038
   390
    (ClassData.get thy) [];
haftmann@24218
   391
haftmann@24836
   392
fun these_operations thy =
haftmann@24836
   393
  maps (#operations o the_class_data thy) o ancestry thy;
haftmann@24657
   394
haftmann@25002
   395
fun local_operation thy = AList.lookup (op =) o these_operations thy;
haftmann@25002
   396
haftmann@25062
   397
fun sups_base_sort thy sort =
haftmann@24901
   398
  let
haftmann@25062
   399
    val sups = filter (is_class thy) sort
haftmann@24901
   400
      |> Sign.minimize_sort thy;
haftmann@25062
   401
    val base_sort = case sups
haftmann@25062
   402
     of _ :: _ => maps (#base_sort o the_class_data thy) sups
haftmann@25062
   403
          |> Sign.minimize_sort thy
haftmann@24901
   404
      | [] => sort;
haftmann@25062
   405
  in (sups, base_sort) end;
haftmann@24901
   406
haftmann@24218
   407
fun print_classes thy =
haftmann@24218
   408
  let
wenzelm@24920
   409
    val ctxt = ProofContext.init thy;
haftmann@24218
   410
    val algebra = Sign.classes_of thy;
haftmann@24218
   411
    val arities =
haftmann@24218
   412
      Symtab.empty
haftmann@24218
   413
      |> Symtab.fold (fn (tyco, arities) => fold (fn (class, _) =>
haftmann@24218
   414
           Symtab.map_default (class, []) (insert (op =) tyco)) arities)
haftmann@24218
   415
             ((#arities o Sorts.rep_algebra) algebra);
haftmann@24218
   416
    val the_arities = these o Symtab.lookup arities;
haftmann@24218
   417
    fun mk_arity class tyco =
haftmann@24218
   418
      let
haftmann@24218
   419
        val Ss = Sorts.mg_domain algebra tyco [class];
wenzelm@24920
   420
      in Syntax.pretty_arity ctxt (tyco, Ss, [class]) end;
haftmann@24218
   421
    fun mk_param (c, ty) = Pretty.str (Sign.extern_const thy c ^ " :: "
wenzelm@24920
   422
      ^ setmp show_sorts false (Syntax.string_of_typ ctxt o Type.strip_sorts) ty);
haftmann@24218
   423
    fun mk_entry class = (Pretty.block o Pretty.fbreaks o map_filter I) [
haftmann@25062
   424
      (SOME o Pretty.str) ("class " ^ Sign.extern_class thy class ^ ":"),
haftmann@24218
   425
      (SOME o Pretty.block) [Pretty.str "supersort: ",
wenzelm@24920
   426
        (Syntax.pretty_sort ctxt o Sign.minimize_sort thy o Sign.super_classes thy) class],
haftmann@25062
   427
      if is_class thy class then (SOME o Pretty.str)
haftmann@25062
   428
        ("locale: " ^ Locale.extern thy class) else NONE,
haftmann@25062
   429
      ((fn [] => NONE | ps => (SOME o Pretty.block o Pretty.fbreaks)
haftmann@25062
   430
          (Pretty.str "parameters:" :: ps)) o map mk_param
wenzelm@24930
   431
        o these o Option.map #params o try (AxClass.get_info thy)) class,
haftmann@24218
   432
      (SOME o Pretty.block o Pretty.breaks) [
haftmann@24218
   433
        Pretty.str "instances:",
haftmann@24218
   434
        Pretty.list "" "" (map (mk_arity class) (the_arities class))
haftmann@24218
   435
      ]
haftmann@24218
   436
    ]
haftmann@24218
   437
  in
haftmann@24589
   438
    (Pretty.writeln o Pretty.chunks o separate (Pretty.str "")
haftmann@24589
   439
      o map mk_entry o Sorts.all_classes) algebra
haftmann@24218
   440
  end;
haftmann@24218
   441
haftmann@24218
   442
haftmann@24218
   443
(* updaters *)
haftmann@24218
   444
haftmann@25062
   445
fun add_class_data ((class, superclasses), (cs, base_sort, inst, phi, intro)) thy =
haftmann@25002
   446
  let
haftmann@25038
   447
    (*FIXME*)
haftmann@25038
   448
    val is_empty = null (fold (fn ((_, ty), _) => fold_atyps cons ty) cs [])
haftmann@25038
   449
      andalso null ((fold o fold_types o fold_atyps) cons
haftmann@25038
   450
        (maps snd (Locale.global_asms_of thy class)) []);
haftmann@25038
   451
    (*FIXME*)
haftmann@25038
   452
    val inst_params = map
haftmann@25038
   453
      (SOME o the o Symtab.lookup inst o fst o fst)
haftmann@25038
   454
        (Locale.parameters_of_expr thy (Locale.Locale class));
haftmann@25038
   455
    val instT = if is_empty then [] else [SOME (TFree (Name.aT, [class]))];
haftmann@25038
   456
    val inst' = ((instT, inst_params), inst);
haftmann@25062
   457
    val operations = map (fn (v_ty as (_, ty'), (c, ty)) =>
haftmann@25062
   458
      (c, ((Free v_ty, ty'), (Logic.varifyT ty, 0)))) cs;
haftmann@25002
   459
    val cs = (map o pairself) fst cs;
haftmann@25038
   460
    val add_class = Graph.new_node (class,
haftmann@25062
   461
        mk_class_data ((cs, base_sort, inst', phi, intro), ([], operations)))
haftmann@25002
   462
      #> fold (curry Graph.add_edge class) superclasses;
haftmann@25002
   463
  in
haftmann@25038
   464
    ClassData.map add_class thy
haftmann@25002
   465
  end;
haftmann@24218
   466
haftmann@25062
   467
fun register_operation class ((c, rhs), some_def) thy =
haftmann@25062
   468
  let
haftmann@25062
   469
    val ty = Sign.the_const_constraint thy c;
haftmann@25062
   470
    val typargs = Sign.const_typargs thy (c, ty);
haftmann@25062
   471
    val typidx = find_index (fn TVar ((v, _), _) => Name.aT = v | _ => false) typargs;
haftmann@25062
   472
    val ty' = Term.fastype_of rhs;
haftmann@25062
   473
  in
haftmann@25062
   474
    thy
haftmann@25062
   475
    |> (ClassData.map o Graph.map_node class o map_class_data o apsnd)
haftmann@25062
   476
      (fn (defs, operations) =>
haftmann@25062
   477
        (case some_def of NONE => defs | SOME def => def :: defs,
haftmann@25062
   478
          (c, ((rhs, ty'), (ty, typidx))) :: operations))
haftmann@25062
   479
  end;
haftmann@24218
   480
haftmann@24589
   481
haftmann@24589
   482
(** rule calculation, tactics and methods **)
haftmann@24589
   483
wenzelm@25024
   484
val class_prefix = Logic.const_of_class o Sign.base_name;
wenzelm@25024
   485
haftmann@25062
   486
fun calculate_morphism class cs =
haftmann@25062
   487
  let
haftmann@25062
   488
    val subst_typ = Term.map_type_tfree (fn var as (v, sort) =>
haftmann@25062
   489
      if v = Name.aT then TVar ((v, 0), [class]) else TVar ((v, 0), sort));
haftmann@25062
   490
    fun subst_aterm (t as Free (v, ty)) = (case AList.lookup (op =) cs v
haftmann@25062
   491
         of SOME (c, _) => Const (c, ty)
haftmann@25062
   492
          | NONE => t)
haftmann@25062
   493
      | subst_aterm t = t;
haftmann@25062
   494
    val subst_term = map_aterms subst_aterm #> map_types subst_typ;
haftmann@25062
   495
  in
haftmann@25062
   496
    Morphism.identity
haftmann@25062
   497
    $> Morphism.term_morphism subst_term
haftmann@25062
   498
    $> Morphism.typ_morphism subst_typ
haftmann@25062
   499
  end;
haftmann@25062
   500
haftmann@25038
   501
fun class_intro thy class sups =
haftmann@24589
   502
  let
haftmann@24589
   503
    fun class_elim class =
wenzelm@25020
   504
      case (#axioms o AxClass.get_info thy) class
wenzelm@25020
   505
       of [thm] => SOME (Drule.unconstrainTs thm)
haftmann@24589
   506
        | [] => NONE;
haftmann@25038
   507
    val pred_intro = case Locale.intros thy class
haftmann@24589
   508
     of ([ax_intro], [intro]) => intro |> OF_LAST ax_intro |> SOME
haftmann@24589
   509
      | ([intro], []) => SOME intro
haftmann@24589
   510
      | ([], [intro]) => SOME intro
haftmann@24589
   511
      | _ => NONE;
haftmann@24589
   512
    val pred_intro' = pred_intro
haftmann@24589
   513
      |> Option.map (fn intro => intro OF map_filter class_elim sups);
wenzelm@24930
   514
    val class_intro = (#intro o AxClass.get_info thy) class;
haftmann@24589
   515
    val raw_intro = case pred_intro'
haftmann@24589
   516
     of SOME pred_intro => class_intro |> OF_LAST pred_intro
haftmann@24589
   517
      | NONE => class_intro;
haftmann@24589
   518
    val sort = Sign.super_classes thy class;
wenzelm@24847
   519
    val typ = TVar ((Name.aT, 0), sort);
haftmann@24589
   520
    val defs = these_defs thy sups;
haftmann@24589
   521
  in
haftmann@24589
   522
    raw_intro
haftmann@24589
   523
    |> Drule.instantiate' [SOME (Thm.ctyp_of thy typ)] []
haftmann@24589
   524
    |> strip_all_ofclass thy sort
haftmann@24589
   525
    |> Thm.strip_shyps
haftmann@24589
   526
    |> MetaSimplifier.rewrite_rule defs
haftmann@24589
   527
    |> Drule.unconstrainTs
haftmann@24589
   528
  end;
haftmann@24589
   529
haftmann@24589
   530
fun class_interpretation class facts defs thy =
haftmann@24589
   531
  let
haftmann@25038
   532
    val params = these_params thy [class];
haftmann@25038
   533
    val { inst = ((_, inst), _), ... } = the_class_data thy class;
wenzelm@25020
   534
    val tac = ALLGOALS (ProofContext.fact_tac facts);
haftmann@25038
   535
    val prfx = class_prefix class;
haftmann@24589
   536
  in
haftmann@25038
   537
    thy
haftmann@25038
   538
    |> fold_map (get_remove_global_constraint o fst o snd) params
haftmann@25038
   539
    ||> prove_interpretation tac ((false, prfx), []) (Locale.Locale class) (inst, defs)
haftmann@25038
   540
    |-> (fn cs => fold (Sign.add_const_constraint o apsnd SOME) cs)
haftmann@24589
   541
  end;
haftmann@24218
   542
haftmann@24218
   543
fun intro_classes_tac facts st =
haftmann@24218
   544
  let
haftmann@24218
   545
    val thy = Thm.theory_of_thm st;
haftmann@24218
   546
    val classes = Sign.all_classes thy;
haftmann@24218
   547
    val class_trivs = map (Thm.class_triv thy) classes;
haftmann@24218
   548
    val class_intros = these_intros thy;
wenzelm@24930
   549
    val axclass_intros = map_filter (try (#intro o AxClass.get_info thy)) classes;
haftmann@24218
   550
  in
wenzelm@24930
   551
    (ALLGOALS (Method.insert_tac facts THEN'
wenzelm@24930
   552
      REPEAT_ALL_NEW (resolve_tac (class_trivs @ class_intros @ axclass_intros)))
wenzelm@24930
   553
    THEN Tactic.distinct_subgoals_tac) st
haftmann@24218
   554
  end;
haftmann@24218
   555
haftmann@24218
   556
fun default_intro_classes_tac [] = intro_classes_tac []
wenzelm@24930
   557
  | default_intro_classes_tac _ = no_tac;
haftmann@24218
   558
haftmann@24218
   559
fun default_tac rules ctxt facts =
haftmann@24218
   560
  HEADGOAL (Method.some_rule_tac rules ctxt facts) ORELSE
haftmann@24218
   561
    default_intro_classes_tac facts;
haftmann@24218
   562
haftmann@24218
   563
val _ = Context.add_setup (Method.add_methods
haftmann@24218
   564
 [("intro_classes", Method.no_args (Method.METHOD intro_classes_tac),
haftmann@24218
   565
    "back-chain introduction rules of classes"),
haftmann@24218
   566
  ("default", Method.thms_ctxt_args (Method.METHOD oo default_tac),
haftmann@24218
   567
    "apply some intro/elim rule")]);
haftmann@24218
   568
haftmann@24218
   569
haftmann@24589
   570
(** classes and class target **)
haftmann@24218
   571
haftmann@25002
   572
(* class context syntax *)
haftmann@24748
   573
haftmann@25062
   574
fun internal_remove_constraint base_sort (c, (_, (ty, _))) ctxt =
haftmann@24914
   575
  let
haftmann@25062
   576
    val ty' = ty
haftmann@25062
   577
      |> map_atyps (fn ty as TVar ((v, 0), _) =>
haftmann@25062
   578
           if v = Name.aT then TVar ((v, 0), base_sort) else ty)
haftmann@25062
   579
      |> SOME;
haftmann@25062
   580
  in ProofContext.add_const_constraint (c, ty') ctxt end;
haftmann@25002
   581
haftmann@25002
   582
fun remove_constraint class c ctxt =
haftmann@25002
   583
  let
haftmann@25002
   584
    val thy = ProofContext.theory_of ctxt;
haftmann@25062
   585
    val base_sort = (#base_sort o the_class_data thy) class;
haftmann@25002
   586
    val SOME entry = local_operation thy [class] c;
haftmann@24914
   587
  in
haftmann@25062
   588
    internal_remove_constraint base_sort (c, entry) ctxt
haftmann@24914
   589
  end;
haftmann@24914
   590
haftmann@25062
   591
fun sort_term_check sups base_sort ts ctxt =
haftmann@24748
   592
  let
haftmann@24901
   593
    val thy = ProofContext.theory_of ctxt;
haftmann@25062
   594
    val local_operation = local_operation thy sups o fst;
haftmann@25062
   595
    val typargs = Consts.typargs (ProofContext.consts_of ctxt);
haftmann@25002
   596
    val constraints = these_operations thy sups |> (map o apsnd) (fst o snd);
haftmann@25062
   597
    fun check_typ (c, ty) (TFree (v, _)) t = if v = Name.aT
haftmann@25062
   598
          then apfst (AList.update (op =) ((c, ty), t)) else I
haftmann@25062
   599
      | check_typ (c, ty) (TVar (vi, _)) t = if TypeInfer.is_param vi
haftmann@25062
   600
          then apfst (AList.update (op =) ((c, ty), t))
haftmann@24901
   601
            #> apsnd (insert (op =) vi) else I
haftmann@25062
   602
      | check_typ _ _ _ = I;
haftmann@25062
   603
    fun check_const (c, ty) ((t, _), (_, idx)) =
haftmann@25062
   604
      check_typ (c, ty) (nth (typargs (c, ty)) idx) t;
haftmann@25062
   605
    fun add_const (Const c_ty) = Option.map (check_const c_ty) (local_operation c_ty)
haftmann@25062
   606
          |> the_default I
haftmann@24901
   607
      | add_const _ = I;
haftmann@24901
   608
    val (cs, typarams) = (fold o fold_aterms) add_const ts ([], []);
haftmann@25062
   609
    val subst_typ = map_type_tvar (fn var as (vi, _) =>
haftmann@25062
   610
      if member (op =) typarams vi then TFree (Name.aT, base_sort) else TVar var);
haftmann@25062
   611
    val subst_term = map_aterms
haftmann@24901
   612
        (fn t as Const (c, ty) => the_default t (AList.lookup (op =) cs (c, ty)) | t => t)
haftmann@25062
   613
          #> map_types subst_typ;
haftmann@25062
   614
    val ts' = map subst_term ts;
haftmann@24901
   615
    val ctxt' = fold (ProofContext.add_const_constraint o apsnd SOME) constraints ctxt;
wenzelm@25060
   616
  in if eq_list (op aconv) (ts, ts') then NONE else SOME (ts', ctxt') end;
haftmann@24748
   617
haftmann@25062
   618
val uncheck = ref true;
haftmann@25002
   619
haftmann@25002
   620
fun sort_term_uncheck sups ts ctxt =
haftmann@25002
   621
  let
haftmann@25062
   622
    (*FIXME abbreviations*)
haftmann@25002
   623
    val thy = ProofContext.theory_of ctxt;
haftmann@25062
   624
    fun rew_app f (t1 $ t2) = rew_app f t1 $ f t2
haftmann@25062
   625
      | rew_app f t = t;
haftmann@25062
   626
    val rews = map (fn (c, ((t, ty), _)) => (t, Const (c, ty))) (these_operations thy sups);
haftmann@25062
   627
    val rews' = (map o apfst o rew_app) (Pattern.rewrite_term thy rews []) rews;
haftmann@25062
   628
    val _ = map (Thm.cterm_of thy o Logic.mk_equals) rews';
haftmann@25062
   629
    val ts' = if ! uncheck
haftmann@25062
   630
      then map (Pattern.rewrite_term thy rews' []) ts else ts;
wenzelm@25060
   631
  in if eq_list (op aconv) (ts, ts') then NONE else SOME (ts', ctxt) end;
haftmann@25002
   632
haftmann@25062
   633
fun init_class_ctxt sups base_sort ctxt =
haftmann@24914
   634
  let
haftmann@24914
   635
    val operations = these_operations (ProofContext.theory_of ctxt) sups;
haftmann@25062
   636
    fun standard_infer_types ts ctxt =
haftmann@25062
   637
      let
haftmann@25062
   638
        val ts' = ProofContext.standard_infer_types ctxt ts;
haftmann@25062
   639
      in if eq_list (op aconv) (ts, ts') then NONE else SOME (ts', ctxt) end;
haftmann@24914
   640
  in
haftmann@24914
   641
    ctxt
haftmann@24914
   642
    |> Variable.declare_term
haftmann@25062
   643
        (Logic.mk_type (TFree (Name.aT, base_sort)))
haftmann@25062
   644
    |> fold (internal_remove_constraint base_sort) operations
haftmann@25062
   645
    |> Context.proof_map (Syntax.add_term_check 1 "class"
haftmann@25062
   646
            (sort_term_check sups base_sort)
haftmann@25062
   647
        #> Syntax.add_term_check 1 "standard" standard_infer_types
haftmann@25062
   648
        #> Syntax.add_term_uncheck (~10) "class" (sort_term_uncheck sups))
haftmann@24914
   649
  end;
haftmann@24901
   650
haftmann@24901
   651
fun init class ctxt =
haftmann@24914
   652
  init_class_ctxt [class]
haftmann@25062
   653
    ((#base_sort o the_class_data (ProofContext.theory_of ctxt)) class) ctxt;
haftmann@24914
   654
haftmann@24748
   655
haftmann@24589
   656
(* class definition *)
haftmann@24218
   657
haftmann@24218
   658
local
haftmann@24218
   659
haftmann@24748
   660
fun gen_class_spec prep_class prep_expr process_expr thy raw_supclasses raw_includes_elems =
haftmann@24218
   661
  let
haftmann@24748
   662
    val supclasses = map (prep_class thy) raw_supclasses;
haftmann@25062
   663
    val (sups, base_sort) = sups_base_sort thy supclasses;
haftmann@24748
   664
    val supsort = Sign.minimize_sort thy supclasses;
haftmann@25038
   665
    val suplocales = map Locale.Locale sups;
haftmann@24748
   666
    val (raw_elems, includes) = fold_rev (fn Locale.Elem e => apfst (cons e)
haftmann@24748
   667
      | Locale.Expr i => apsnd (cons (prep_expr thy i))) raw_includes_elems ([], []);
haftmann@24748
   668
    val supexpr = Locale.Merge suplocales;
haftmann@24748
   669
    val supparams = (map fst o Locale.parameters_of_expr thy) supexpr;
haftmann@25002
   670
    val supconsts = AList.make (the o AList.lookup (op =) (these_params thy sups))
haftmann@24748
   671
      (map fst supparams);
haftmann@24748
   672
    val mergeexpr = Locale.Merge (suplocales @ includes);
haftmann@24748
   673
    val constrain = Element.Constrains ((map o apsnd o map_atyps)
wenzelm@24847
   674
      (fn TFree (_, sort) => TFree (Name.aT, sort)) supparams);
haftmann@24748
   675
  in
haftmann@24748
   676
    ProofContext.init thy
haftmann@24748
   677
    |> Locale.cert_expr supexpr [constrain]
haftmann@24748
   678
    |> snd
haftmann@25062
   679
    |> init_class_ctxt sups base_sort
haftmann@24748
   680
    |> process_expr Locale.empty raw_elems
haftmann@24748
   681
    |> fst
haftmann@25062
   682
    |> (fn elems => ((((sups, supconsts), (supsort, base_sort, mergeexpr)),
haftmann@24748
   683
          (*FIXME*) if null includes then constrain :: elems else elems)))
haftmann@24748
   684
  end;
haftmann@24748
   685
haftmann@24748
   686
val read_class_spec = gen_class_spec Sign.intern_class Locale.intern_expr Locale.read_expr;
haftmann@24748
   687
val check_class_spec = gen_class_spec (K I) (K I) Locale.cert_expr;
haftmann@24748
   688
wenzelm@24968
   689
fun define_class_params (name, raw_superclasses) raw_consts raw_dep_axioms other_consts thy =
wenzelm@24968
   690
  let
wenzelm@24968
   691
    val superclasses = map (Sign.certify_class thy) raw_superclasses;
wenzelm@24968
   692
    val consts = (map o apfst o apsnd) (Sign.certify_typ thy) raw_consts;
wenzelm@24968
   693
    fun add_const ((c, ty), syn) = Sign.declare_const [] (c, ty, syn) #>> Term.dest_Const;
wenzelm@24968
   694
    fun mk_axioms cs thy =
wenzelm@24968
   695
      raw_dep_axioms thy cs
wenzelm@24968
   696
      |> (map o apsnd o map) (Sign.cert_prop thy)
wenzelm@24968
   697
      |> rpair thy;
haftmann@25002
   698
    fun constrain_typs class = (map o apsnd o Term.map_type_tfree)
haftmann@25002
   699
      (fn (v, _) => TFree (v, [class]))
wenzelm@24968
   700
  in
wenzelm@24968
   701
    thy
wenzelm@24968
   702
    |> Sign.add_path (Logic.const_of_class name)
wenzelm@24968
   703
    |> fold_map add_const consts
wenzelm@24968
   704
    ||> Sign.restore_naming thy
wenzelm@24968
   705
    |-> (fn cs => mk_axioms cs
wenzelm@24968
   706
    #-> (fn axioms_prop => AxClass.define_class (name, superclasses)
wenzelm@24968
   707
           (map fst cs @ other_consts) axioms_prop
haftmann@25002
   708
    #-> (fn class => `(fn _ => constrain_typs class cs)
haftmann@25002
   709
    #-> (fn cs' => `(fn thy => AxClass.get_info thy class)
haftmann@25002
   710
    #-> (fn {axioms, ...} => fold (Sign.add_const_constraint o apsnd SOME) cs'
haftmann@25002
   711
    #> pair (class, (cs', axioms)))))))
wenzelm@24968
   712
  end;
wenzelm@24968
   713
haftmann@25002
   714
fun gen_class prep_spec prep_param bname
haftmann@24748
   715
    raw_supclasses raw_includes_elems raw_other_consts thy =
haftmann@24748
   716
  let
haftmann@25038
   717
    val class = Sign.full_name thy bname;
haftmann@25062
   718
    val (((sups, supconsts), (supsort, base_sort, mergeexpr)), elems_syn) =
haftmann@24748
   719
      prep_spec thy raw_supclasses raw_includes_elems;
wenzelm@24968
   720
    val other_consts = map (tap (Sign.the_const_type thy) o prep_param thy) raw_other_consts;
haftmann@24589
   721
    fun mk_inst class param_names cs =
haftmann@24589
   722
      Symtab.empty
haftmann@24589
   723
      |> fold2 (fn v => fn (c, ty) => Symtab.update (v, Const
haftmann@24589
   724
           (c, Term.map_type_tfree (fn (v, _) => TFree (v, [class])) ty))) param_names cs;
haftmann@25062
   725
    fun fork_syntax (Element.Fixes xs) =
haftmann@25062
   726
          fold_map (fn (c, ty, syn) => cons (c, syn) #> pair (c, ty, NoSyn)) xs
haftmann@25062
   727
          #>> Element.Fixes
haftmann@25062
   728
      | fork_syntax x = pair x;
haftmann@25062
   729
    val (elems, global_syn) = fold_map fork_syntax elems_syn [];
haftmann@25062
   730
    fun globalize (c, ty) = 
haftmann@25062
   731
      ((c, Term.map_type_tfree (K (TFree (Name.aT, base_sort))) ty),
haftmann@25062
   732
        (the_default NoSyn o AList.lookup (op =) global_syn) c);
haftmann@25038
   733
    fun extract_params thy =
haftmann@24218
   734
      let
haftmann@25062
   735
        val params = map fst (Locale.parameters_of thy class);
haftmann@24218
   736
      in
haftmann@25062
   737
        (params, (map globalize o snd o chop (length supconsts)) params)
haftmann@24218
   738
      end;
haftmann@25038
   739
    fun extract_assumes params thy cs =
haftmann@24218
   740
      let
haftmann@24218
   741
        val consts = supconsts @ (map (fst o fst) params ~~ cs);
haftmann@24218
   742
        fun subst (Free (c, ty)) =
haftmann@24218
   743
              Const ((fst o the o AList.lookup (op =) consts) c, ty)
haftmann@24218
   744
          | subst t = t;
haftmann@24218
   745
        fun prep_asm ((name, atts), ts) =
wenzelm@25024
   746
          ((Sign.base_name name, map (Attrib.attribute_i thy) atts),
haftmann@24589
   747
            (map o map_aterms) subst ts);
haftmann@24218
   748
      in
haftmann@25038
   749
        Locale.global_asms_of thy class
haftmann@24218
   750
        |> map prep_asm
haftmann@24218
   751
      end;
haftmann@24218
   752
  in
haftmann@24218
   753
    thy
haftmann@24748
   754
    |> Locale.add_locale_i (SOME "") bname mergeexpr elems
haftmann@25038
   755
    |> snd
haftmann@25038
   756
    |> ProofContext.theory (`extract_params
haftmann@25062
   757
      #-> (fn (all_params, params) =>
wenzelm@24968
   758
        define_class_params (bname, supsort) params
haftmann@25038
   759
          (extract_assumes params) other_consts
haftmann@25038
   760
      #-> (fn (_, (consts, axioms)) =>
haftmann@25038
   761
        `(fn thy => class_intro thy class sups)
haftmann@24218
   762
      #-> (fn class_intro =>
haftmann@25062
   763
        PureThy.note_thmss_qualified "" (NameSpace.append class classN)
haftmann@25062
   764
          [((introN, []), [([class_intro], [])])]
haftmann@25062
   765
      #-> (fn [(_, [class_intro])] =>
haftmann@25038
   766
        add_class_data ((class, sups),
haftmann@25062
   767
          (map fst params ~~ consts, base_sort,
haftmann@25062
   768
            mk_inst class (map fst all_params) (map snd supconsts @ consts),
haftmann@25062
   769
              calculate_morphism class (supconsts @ (map (fst o fst) params ~~ consts)), class_intro))
haftmann@25038
   770
      #> class_interpretation class axioms []
haftmann@25062
   771
      )))))
haftmann@25038
   772
    |> pair class
haftmann@24218
   773
  end;
haftmann@24218
   774
haftmann@24218
   775
in
haftmann@24218
   776
wenzelm@24968
   777
val class_cmd = gen_class read_class_spec ((#1 o Term.dest_Const) oo Sign.read_const);
haftmann@24748
   778
val class = gen_class check_class_spec (K I);
haftmann@24218
   779
haftmann@24218
   780
end; (*local*)
haftmann@24218
   781
haftmann@24218
   782
haftmann@24589
   783
(* definition in class target *)
haftmann@24218
   784
haftmann@25062
   785
fun add_const_in_class class ((c, mx), rhs) thy =
haftmann@24218
   786
  let
wenzelm@25024
   787
    val prfx = class_prefix class;
wenzelm@25024
   788
    val thy' = thy |> Sign.add_path prfx;
haftmann@25062
   789
    val phi = morphism thy' class;
wenzelm@25024
   790
haftmann@25062
   791
    val c' = Sign.full_name thy' c;
haftmann@25062
   792
    val ((mx', _), _) = fork_mixfix true true mx;
haftmann@25062
   793
    val rhs' = (map_types Logic.unvarifyT o Morphism.term phi) rhs;
haftmann@24218
   794
    val ty' = Term.fastype_of rhs';
haftmann@24657
   795
    val def = (c, Logic.mk_equals (Const (c', ty'), rhs'));
haftmann@25062
   796
    val c'' = NameSpace.full (Sign.naming_of thy' |> NameSpace.add_path prfx) c;
haftmann@24218
   797
  in
wenzelm@25024
   798
    thy'
haftmann@25038
   799
    |> Sign.hide_consts_i false [c'']
wenzelm@25024
   800
    |> Sign.declare_const [] (c, ty', mx') |> snd
haftmann@24218
   801
    |> Sign.parent_path
haftmann@24218
   802
    |> Sign.sticky_prefix prfx
haftmann@25062
   803
    |> yield_singleton (PureThy.add_defs_i false) (def, [])
haftmann@25062
   804
    |>> Thm.symmetric
haftmann@25062
   805
    |-> (fn def => class_interpretation class [def]
haftmann@25062
   806
                [(map_types Logic.unvarifyT o Thm.prop_of) def]
haftmann@25062
   807
          #> register_operation class ((c', rhs), SOME def))
haftmann@24218
   808
    |> Sign.restore_naming thy
haftmann@24914
   809
    |> pair c'
haftmann@24218
   810
  end;
haftmann@24218
   811
haftmann@24901
   812
haftmann@24901
   813
(* abbreviation in class target *)
haftmann@24901
   814
haftmann@25062
   815
fun add_abbrev_in_class class prmode ((c, mx), rhs) thy =
haftmann@24836
   816
  let
wenzelm@25024
   817
    val prfx = class_prefix class;
haftmann@25062
   818
    val phi = morphism thy class;
haftmann@25062
   819
haftmann@25038
   820
    val naming = Sign.naming_of thy |> NameSpace.add_path prfx |> NameSpace.add_path prfx;
haftmann@25038
   821
      (*FIXME*)
wenzelm@25024
   822
    val c' = NameSpace.full naming c;
haftmann@25062
   823
    val rhs' = (map_types Logic.unvarifyT o Morphism.term phi) rhs;
wenzelm@25020
   824
    val ty' = Term.fastype_of rhs';
haftmann@24836
   825
  in
haftmann@24836
   826
    thy
wenzelm@25024
   827
    |> Sign.notation true prmode [(Const (c', ty'), mx)]
haftmann@25062
   828
    |> register_operation class ((c', rhs), NONE)
haftmann@24914
   829
    |> pair c'
haftmann@24836
   830
  end;
haftmann@24836
   831
haftmann@24218
   832
end;