src/Pure/pure_thy.ML
author wenzelm
Thu Nov 20 00:03:47 2008 +0100 (2008-11-20)
changeset 28856 5e009a80fe6d
parent 28841 5556c7976837
child 28861 f53abb0733ee
permissions -rw-r--r--
Pure syntax: more coherent treatment of aprop, permanent TERM and &&&;
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(*  Title:      Pure/pure_thy.ML
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    ID:         $Id$
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    Author:     Markus Wenzel, TU Muenchen
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Theorem storage.  Pure theory syntax and logical content.
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*)
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signature PURE_THY =
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sig
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  val facts_of: theory -> Facts.T
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  val intern_fact: theory -> xstring -> string
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  val defined_fact: theory -> string -> bool
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  val hide_fact: bool -> string -> theory -> theory
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  val force_proofs: theory -> unit
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  val get_fact: Context.generic -> theory -> Facts.ref -> thm list
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  val get_thms: theory -> xstring -> thm list
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  val get_thm: theory -> xstring -> thm
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  val all_thms_of: theory -> (string * thm) list
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  val map_facts: ('a -> 'b) -> ('c * ('a list * 'd) list) list -> ('c * ('b list * 'd) list) list
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  val burrow_fact: ('a list -> 'b list) -> ('a list * 'c) list -> ('b list * 'c) list
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  val burrow_facts: ('a list -> 'b list) ->
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    ('c * ('a list * 'd) list) list -> ('c * ('b list * 'd) list) list
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  val name_multi: string -> 'a list -> (string * 'a) list
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  val name_thm: bool -> bool -> Position.T -> string -> thm -> thm
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  val name_thms: bool -> bool -> Position.T -> string -> thm list -> thm list
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  val name_thmss: bool -> Position.T -> string -> (thm list * 'a) list -> (thm list * 'a) list
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  val store_thms: bstring * thm list -> theory -> thm list * theory
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  val store_thm: bstring * thm -> theory -> thm * theory
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  val store_thm_open: bstring * thm -> theory -> thm * theory
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  val add_thms: ((bstring * thm) * attribute list) list -> theory -> thm list * theory
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  val add_thm: (bstring * thm) * attribute list -> theory -> thm * theory
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  val add_thmss: ((bstring * thm list) * attribute list) list -> theory -> thm list list * theory
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  val add_thms_dynamic: bstring * (Context.generic -> thm list) -> theory -> theory
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  val note_thmss: string -> ((Name.binding * attribute list) *
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    (thm list * attribute list) list) list -> theory -> (string * thm list) list * theory
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  val note_thmss_grouped: string -> string -> ((Name.binding * attribute list) *
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    (thm list * attribute list) list) list -> theory -> (string * thm list) list * theory
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  val add_axioms: ((bstring * term) * attribute list) list -> theory -> thm list * theory
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  val add_axioms_cmd: ((bstring * string) * attribute list) list -> theory -> thm list * theory
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  val add_defs: bool -> ((bstring * term) * attribute list) list ->
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    theory -> thm list * theory
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  val add_defs_unchecked: bool -> ((bstring * term) * attribute list) list ->
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    theory -> thm list * theory
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  val add_defs_unchecked_cmd: bool -> ((bstring * string) * attribute list) list ->
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    theory -> thm list * theory
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  val add_defs_cmd: bool -> ((bstring * string) * attribute list) list ->
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    theory -> thm list * theory
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  val old_appl_syntax: theory -> bool
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  val old_appl_syntax_setup: theory -> theory
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end;
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structure PureThy: PURE_THY =
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struct
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(*** stored facts ***)
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(** theory data **)
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structure FactsData = TheoryDataFun
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(
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  type T = Facts.T * unit Lazy.T list;
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  val empty = (Facts.empty, []);
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  val copy = I;
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  fun extend (facts, _) = (facts, []);
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  fun merge _ ((facts1, _), (facts2, _)) = (Facts.merge (facts1, facts2), []);
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);
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(* facts *)
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val facts_of = #1 o FactsData.get;
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val intern_fact = Facts.intern o facts_of;
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val defined_fact = Facts.defined o facts_of;
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fun hide_fact fully name = FactsData.map (apfst (Facts.hide fully name));
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(* proofs *)
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fun lazy_proof thm = Lazy.lazy (fn () => Thm.force_proof thm);
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val force_proofs = List.app Lazy.force o #2 o FactsData.get;
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(** retrieve theorems **)
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fun get_fact context thy xthmref =
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  let
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    val xname = Facts.name_of_ref xthmref;
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    val pos = Facts.pos_of_ref xthmref;
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    val name = intern_fact thy xname;
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    val res = Facts.lookup context (facts_of thy) name;
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    val _ = Theory.check_thy thy;
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  in
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    (case res of
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      NONE => error ("Unknown fact " ^ quote name ^ Position.str_of pos)
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    | SOME (static, ths) =>
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        (Position.report ((if static then Markup.fact else Markup.dynamic_fact) name) pos;
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         Facts.select xthmref (map (Thm.transfer thy) ths)))
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  end;
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fun get_thms thy = get_fact (Context.Theory thy) thy o Facts.named;
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fun get_thm thy name = Facts.the_single name (get_thms thy name);
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fun all_thms_of thy =
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  Facts.fold_static (fn (_, ths) => append (map (`(Thm.get_name_hint)) ths)) (facts_of thy) [];
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(** store theorems **)
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(* fact specifications *)
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fun map_facts f = map (apsnd (map (apfst (map f))));
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fun burrow_fact f = split_list #>> burrow f #> op ~~;
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fun burrow_facts f = split_list ##> burrow (burrow_fact f) #> op ~~;
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(* naming *)
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fun name_multi name [x] = [(name, x)]
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  | name_multi "" xs = map (pair "") xs
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  | name_multi name xs = map_index (fn (i, x) => (name ^ "_" ^ string_of_int (i + 1), x)) xs;
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fun name_thm pre official pos name thm = thm
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  |> (if Thm.get_name thm <> "" andalso pre orelse not official then I else Thm.put_name name)
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  |> (if Thm.has_name_hint thm andalso pre orelse name = "" then I else Thm.put_name_hint name)
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  |> Thm.default_position pos
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  |> Thm.default_position (Position.thread_data ());
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fun name_thms pre official pos name xs =
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  map (uncurry (name_thm pre official pos)) (name_multi name xs);
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fun name_thmss official pos name fact =
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  burrow_fact (name_thms true official pos name) fact;
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(* enter_thms *)
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fun enter_proofs (thy, thms) =
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  (FactsData.map (apsnd (fold (cons o lazy_proof) thms)) thy, thms);
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fun enter_thms _ _ app_att ("", thms) thy = swap (enter_proofs (app_att (thy, thms)))
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  | enter_thms pre_name post_name app_att (bname, thms) thy =
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      let
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        val naming = Sign.naming_of thy;
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        val name = NameSpace.full naming bname;
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        val (thy', thms') =
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          enter_proofs (apsnd (post_name name) (app_att (thy, pre_name name thms)));
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        val thms'' = map (Thm.transfer thy') thms';
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        val thy'' = thy' |> FactsData.map (apfst (Facts.add_global naming (name, thms'')));
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      in (thms'', thy'') end;
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(* store_thm(s) *)
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val store_thms =
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  enter_thms (name_thms true true Position.none) (name_thms false true Position.none) I;
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fun store_thm (name, th) = store_thms (name, [th]) #>> the_single;
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fun store_thm_open (name, th) =
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  enter_thms (name_thms true false Position.none) (name_thms false false Position.none) I
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    (name, [th]) #>> the_single;
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(* add_thms(s) *)
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fun add_thms_atts pre_name ((bname, thms), atts) =
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  enter_thms pre_name (name_thms false true Position.none)
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    (foldl_map (Thm.theory_attributes atts)) (bname, thms);
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fun gen_add_thmss pre_name =
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  fold_map (add_thms_atts pre_name);
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fun gen_add_thms pre_name args =
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  apfst (map hd) o gen_add_thmss pre_name (map (apfst (apsnd single)) args);
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val add_thmss = gen_add_thmss (name_thms true true Position.none);
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val add_thms = gen_add_thms (name_thms true true Position.none);
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val add_thm = yield_singleton add_thms;
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(* add_thms_dynamic *)
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fun add_thms_dynamic (bname, f) thy =
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  let val name = Sign.full_name thy bname
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  in thy |> FactsData.map (apfst (Facts.add_dynamic (Sign.naming_of thy) (name, f))) end;
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(* note_thmss *)
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local
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fun gen_note_thmss tag = fold_map (fn ((binding, more_atts), ths_atts) => fn thy =>
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  let
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    val bname = Name.name_of binding;
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    val pos = Name.pos_of binding;
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    val name = Sign.full_name thy bname;
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    val _ = Position.report (Markup.fact_decl name) pos;
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    fun app (x, (ths, atts)) = foldl_map (Thm.theory_attributes atts) (x, ths);
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    val (thms, thy') = thy |> enter_thms
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      (name_thmss true pos) (name_thms false true pos) (apsnd flat o foldl_map app)
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      (bname, map (fn (ths, atts) => (ths, surround tag (atts @ more_atts))) ths_atts);
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  in ((name, thms), thy') end);
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in
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fun note_thmss k = gen_note_thmss (Thm.kind k);
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fun note_thmss_grouped k g = gen_note_thmss (Thm.kind k #> Thm.group g);
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end;
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(* store axioms as theorems *)
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local
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  fun get_ax thy (name, _) = Thm.axiom thy (Sign.full_name thy name);
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  fun get_axs thy named_axs = map (Thm.forall_elim_vars 0 o get_ax thy) named_axs;
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  fun add_axm add = fold_map (fn ((name, ax), atts) => fn thy =>
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    let
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      val named_ax = [(name, ax)];
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      val thy' = add named_ax thy;
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      val thm = hd (get_axs thy' named_ax);
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    in apfst hd (gen_add_thms (K I) [((name, thm), atts)] thy') end);
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in
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  val add_defs               = add_axm o Theory.add_defs_i false;
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  val add_defs_unchecked     = add_axm o Theory.add_defs_i true;
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  val add_axioms             = add_axm Theory.add_axioms_i;
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  val add_defs_cmd           = add_axm o Theory.add_defs false;
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  val add_defs_unchecked_cmd = add_axm o Theory.add_defs true;
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  val add_axioms_cmd         = add_axm Theory.add_axioms;
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end;
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(*** Pure theory syntax and logical content ***)
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val typ = SimpleSyntax.read_typ;
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val term = SimpleSyntax.read_term;
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val prop = SimpleSyntax.read_prop;
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val typeT = Syntax.typeT;
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val spropT = Syntax.spropT;
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(* application syntax variants *)
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val appl_syntax =
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 [("_appl", typ "('b => 'a) => args => logic", Mixfix ("(1_/(1'(_')))", [1000, 0], 1000)),
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  ("_appl", typ "('b => 'a) => args => aprop", Mixfix ("(1_/(1'(_')))", [1000, 0], 1000))];
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val applC_syntax =
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 [("",       typ "'a => cargs",                  Delimfix "_"),
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  ("_cargs", typ "'a => cargs => cargs",         Mixfix ("_/ _", [1000, 1000], 1000)),
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  ("_applC", typ "('b => 'a) => cargs => logic", Mixfix ("(1_/ _)", [1000, 1000], 999)),
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  ("_applC", typ "('b => 'a) => cargs => aprop", Mixfix ("(1_/ _)", [1000, 1000], 999))];
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structure OldApplSyntax = TheoryDataFun
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(
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  type T = bool;
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  val empty = false;
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  val copy = I;
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  val extend = I;
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  fun merge _ (b1, b2) : T =
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    if b1 = b2 then b1
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    else error "Cannot merge theories with different application syntax";
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);
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val old_appl_syntax = OldApplSyntax.get;
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val old_appl_syntax_setup =
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  OldApplSyntax.put true #>
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  Sign.del_modesyntax_i Syntax.mode_default applC_syntax #>
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  Sign.add_syntax_i appl_syntax;
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(* main content *)
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val _ = Context.>> (Context.map_theory
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  (OldApplSyntax.init #>
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   Sign.add_types
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   [("fun", 2, NoSyn),
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    ("prop", 0, NoSyn),
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    ("itself", 1, NoSyn),
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    ("dummy", 0, NoSyn)]
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  #> Sign.add_nonterminals Syntax.basic_nonterms
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  #> Sign.add_syntax_i
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   [("_lambda",     typ "pttrns => 'a => logic",       Mixfix ("(3%_./ _)", [0, 3], 3)),
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    ("_abs",        typ "'a",                          NoSyn),
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    ("",            typ "'a => args",                  Delimfix "_"),
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    ("_args",       typ "'a => args => args",          Delimfix "_,/ _"),
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    ("",            typ "id => idt",                   Delimfix "_"),
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    ("_idtdummy",   typ "idt",                         Delimfix "'_"),
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    ("_idtyp",      typ "id => type => idt",           Mixfix ("_::_", [], 0)),
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    ("_idtypdummy", typ "type => idt",                 Mixfix ("'_()::_", [], 0)),
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    ("",            typ "idt => idt",                  Delimfix "'(_')"),
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    ("",            typ "idt => idts",                 Delimfix "_"),
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    ("_idts",       typ "idt => idts => idts",         Mixfix ("_/ _", [1, 0], 0)),
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    ("",            typ "idt => pttrn",                Delimfix "_"),
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    ("",            typ "pttrn => pttrns",             Delimfix "_"),
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    ("_pttrns",     typ "pttrn => pttrns => pttrns",   Mixfix ("_/ _", [1, 0], 0)),
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    ("",            typ "aprop => aprop",              Delimfix "'(_')"),
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    ("",            typ "id => aprop",                 Delimfix "_"),
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    ("",            typ "longid => aprop",             Delimfix "_"),
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    ("",            typ "var => aprop",                Delimfix "_"),
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    ("_DDDOT",      typ "aprop",                       Delimfix "..."),
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    ("_aprop",      typ "aprop => prop",               Delimfix "PROP _"),
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    ("_asm",        typ "prop => asms",                Delimfix "_"),
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    ("_asms",       typ "prop => asms => asms",        Delimfix "_;/ _"),
wenzelm@26436
   315
    ("_bigimpl",    typ "asms => prop => prop",        Mixfix ("((3[| _ |])/ ==> _)", [0, 1], 1)),
wenzelm@26436
   316
    ("_ofclass",    typ "type => logic => prop",       Delimfix "(1OFCLASS/(1'(_,/ _')))"),
wenzelm@26436
   317
    ("_mk_ofclass", typ "dummy",                       NoSyn),
wenzelm@26436
   318
    ("_TYPE",       typ "type => logic",               Delimfix "(1TYPE/(1'(_')))"),
wenzelm@26436
   319
    ("",            typ "id => logic",                 Delimfix "_"),
wenzelm@26436
   320
    ("",            typ "longid => logic",             Delimfix "_"),
wenzelm@26436
   321
    ("",            typ "var => logic",                Delimfix "_"),
wenzelm@26436
   322
    ("_DDDOT",      typ "logic",                       Delimfix "..."),
wenzelm@26436
   323
    ("_constify",   typ "num => num_const",            Delimfix "_"),
wenzelm@26436
   324
    ("_indexnum",   typ "num_const => index",          Delimfix "\\<^sub>_"),
wenzelm@26436
   325
    ("_index",      typ "logic => index",              Delimfix "(00\\<^bsub>_\\<^esub>)"),
wenzelm@26436
   326
    ("_indexdefault", typ "index",                     Delimfix ""),
wenzelm@26436
   327
    ("_indexvar",   typ "index",                       Delimfix "'\\<index>"),
wenzelm@26436
   328
    ("_struct",     typ "index => logic",              Mixfix ("\\<struct>_", [1000], 1000)),
wenzelm@26436
   329
    ("==>",         typ "prop => prop => prop",        Delimfix "op ==>"),
wenzelm@28622
   330
    (Term.dummy_patternN, typ "aprop",                 Delimfix "'_"),
wenzelm@28856
   331
    ("_sort_constraint", typ "type => prop",           Delimfix "(1SORT'_CONSTRAINT/(1'(_')))"),
wenzelm@28856
   332
    ("Pure.term",   typ "logic => prop",               Delimfix "TERM _"),
wenzelm@28856
   333
    ("Pure.conjunction", typ "prop => prop => prop",   InfixrName ("&&&", 2))]
wenzelm@26959
   334
  #> Sign.add_syntax_i applC_syntax
wenzelm@26430
   335
  #> Sign.add_modesyntax_i (Symbol.xsymbolsN, true)
wenzelm@24243
   336
   [("fun",      typ "type => type => type",   Mixfix ("(_/ \\<Rightarrow> _)", [1, 0], 0)),
wenzelm@24243
   337
    ("_bracket", typ "types => type => type",  Mixfix ("([_]/ \\<Rightarrow> _)", [0, 0], 0)),
wenzelm@24243
   338
    ("_ofsort",  typ "tid => sort => type",    Mixfix ("_\\<Colon>_", [1000, 0], 1000)),
wenzelm@28856
   339
    ("_constrain", typ "logic => type => logic", Mixfix ("_\\<Colon>_", [4, 0], 3)),
wenzelm@28856
   340
    ("_constrain", [spropT, typeT] ---> spropT, Mixfix ("_\\<Colon>_", [4, 0], 3)),
wenzelm@24243
   341
    ("_idtyp",    typ "id => type => idt",     Mixfix ("_\\<Colon>_", [], 0)),
wenzelm@24243
   342
    ("_idtypdummy", typ "type => idt",         Mixfix ("'_()\\<Colon>_", [], 0)),
wenzelm@24243
   343
    ("_type_constraint_", typ "'a",            NoSyn),
wenzelm@24243
   344
    ("_lambda",  typ "pttrns => 'a => logic",  Mixfix ("(3\\<lambda>_./ _)", [0, 3], 3)),
wenzelm@24243
   345
    ("==",       typ "'a => 'a => prop",       InfixrName ("\\<equiv>", 2)),
wenzelm@24243
   346
    ("all_binder", typ "idts => prop => prop", Mixfix ("(3\\<And>_./ _)", [0, 0], 0)),
wenzelm@24243
   347
    ("==>",      typ "prop => prop => prop",   InfixrName ("\\<Longrightarrow>", 1)),
wenzelm@24243
   348
    ("_DDDOT",   typ "aprop",                  Delimfix "\\<dots>"),
wenzelm@24243
   349
    ("_bigimpl", typ "asms => prop => prop",   Mixfix ("((1\\<lbrakk>_\\<rbrakk>)/ \\<Longrightarrow> _)", [0, 1], 1)),
wenzelm@24243
   350
    ("_DDDOT",   typ "logic",                  Delimfix "\\<dots>")]
wenzelm@26430
   351
  #> Sign.add_modesyntax_i ("", false)
wenzelm@28856
   352
   [("prop", typ "prop => prop", Mixfix ("_", [0], 0))]
wenzelm@26430
   353
  #> Sign.add_modesyntax_i ("HTML", false)
wenzelm@24243
   354
   [("_lambda", typ "pttrns => 'a => logic", Mixfix ("(3\\<lambda>_./ _)", [0, 3], 3))]
wenzelm@26430
   355
  #> Sign.add_consts_i
wenzelm@24243
   356
   [("==", typ "'a => 'a => prop", InfixrName ("==", 2)),
wenzelm@24243
   357
    ("==>", typ "prop => prop => prop", Mixfix ("(_/ ==> _)", [2, 1], 1)),
wenzelm@24243
   358
    ("all", typ "('a => prop) => prop", Binder ("!!", 0, 0)),
wenzelm@24243
   359
    ("prop", typ "prop => prop", NoSyn),
wenzelm@24243
   360
    ("TYPE", typ "'a itself", NoSyn),
wenzelm@24243
   361
    (Term.dummy_patternN, typ "'a", Delimfix "'_")]
wenzelm@26430
   362
  #> Theory.add_deps "==" ("==", typ "'a => 'a => prop") []
wenzelm@26430
   363
  #> Theory.add_deps "==>" ("==>", typ "prop => prop => prop") []
wenzelm@26430
   364
  #> Theory.add_deps "all" ("all", typ "('a => prop) => prop") []
wenzelm@26430
   365
  #> Theory.add_deps "TYPE" ("TYPE", typ "'a itself") []
wenzelm@26430
   366
  #> Theory.add_deps Term.dummy_patternN (Term.dummy_patternN, typ "'a") []
wenzelm@26430
   367
  #> Sign.add_trfuns Syntax.pure_trfuns
wenzelm@26430
   368
  #> Sign.add_trfunsT Syntax.pure_trfunsT
wenzelm@26430
   369
  #> Sign.local_path
wenzelm@26430
   370
  #> Sign.add_consts_i
wenzelm@24243
   371
   [("term", typ "'a => prop", NoSyn),
wenzelm@28622
   372
    ("sort_constraint", typ "'a itself => prop", NoSyn),
wenzelm@24243
   373
    ("conjunction", typ "prop => prop => prop", NoSyn)]
haftmann@27691
   374
  #> (add_defs false o map Thm.no_attributes)
wenzelm@24243
   375
   [("prop_def", prop "(CONST prop :: prop => prop) (A::prop) == A::prop"),
wenzelm@26430
   376
    ("term_def", prop "(CONST Pure.term :: 'a => prop) (x::'a) == (!!A::prop. A ==> A)"),
wenzelm@28622
   377
    ("sort_constraint_def",
wenzelm@28622
   378
      prop "(CONST Pure.sort_constraint :: 'a itself => prop) (CONST TYPE :: 'a itself) ==\
wenzelm@28622
   379
      \ (CONST Pure.term :: 'a itself => prop) (CONST TYPE :: 'a itself)"),
wenzelm@28856
   380
    ("conjunction_def", prop "(A &&& B) == (!!C::prop. (A ==> B ==> C) ==> C)")] #> snd
wenzelm@28622
   381
  #> Sign.hide_const false "Pure.term"
wenzelm@28622
   382
  #> Sign.hide_const false "Pure.sort_constraint"
wenzelm@26666
   383
  #> Sign.hide_const false "Pure.conjunction"
wenzelm@26430
   384
  #> add_thmss [(("nothing", []), [])] #> snd
wenzelm@26463
   385
  #> Theory.add_axioms_i Proofterm.equality_axms));
wenzelm@3987
   386
wenzelm@3987
   387
end;