src/Pure/pure_thy.ML
author wenzelm
Wed Apr 16 21:53:01 2008 +0200 (2008-04-16)
changeset 26693 90d0b86644ac
parent 26683 849281658859
child 26959 f8f2df3e4d83
permissions -rw-r--r--
renamed check_fact to defined_fact;
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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 tag_rule: Markup.property -> thm -> thm
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  val untag_rule: string -> thm -> thm
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  val tag: Markup.property -> attribute
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  val untag: string -> attribute
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  val has_name_hint: thm -> bool
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  val get_name_hint: thm -> string
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  val put_name_hint: string -> thm -> thm
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  val get_group: thm -> string option
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  val put_group: string -> thm -> thm
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  val group: string -> attribute
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  val has_kind: thm -> bool
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  val get_kind: thm -> string
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  val kind_rule: string -> thm -> thm
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  val kind: string -> attribute
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  val kind_internal: attribute
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  val has_internal: Markup.property list -> bool
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  val is_internal: thm -> bool
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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 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 theorems_of: theory -> thm list NameSpace.table
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  val facts_of: theory -> Facts.T
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  val thms_of: theory -> (string * thm) list
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  val all_thms_of: theory -> (string * thm) list
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  val hide_fact: bool -> string -> theory -> theory
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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 -> string -> thm -> thm
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  val name_thms: bool -> bool -> string -> thm list -> thm list
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  val name_thmss: bool -> 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_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: string -> string * thm -> theory -> thm * theory
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  val note_thmss: string -> ((bstring * attribute list) *
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    (Facts.ref * attribute list) list) list -> theory -> (bstring * thm list) list * theory
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  val note_thmss_i: string -> ((bstring * attribute list) *
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    (thm list * attribute list) list) list -> theory -> (bstring * thm list) list * theory
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  val note_thmss_grouped: string -> string -> ((bstring * attribute list) *
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    (thm list * attribute list) list) list -> theory -> (bstring * thm list) list * theory
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  val note_thmss_qualified: string -> string -> ((bstring * attribute list) *
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    (thm list * attribute list) list) list -> theory -> (bstring * thm list) list * theory
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  val add_axioms: ((bstring * string) * attribute list) list -> theory -> thm list * theory
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  val add_axioms_i: ((bstring * term) * attribute list) list -> theory -> thm list * theory
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  val add_defs: bool -> ((bstring * string) * attribute list) list ->
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    theory -> thm list * theory
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  val add_defs_i: bool -> ((bstring * term) * attribute list) list ->
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    theory -> thm list * theory
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  val add_defs_unchecked: bool -> ((bstring * string) * attribute list) list ->
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    theory -> thm list * theory
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  val add_defs_unchecked_i: bool -> ((bstring * term) * attribute list) list ->
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    theory -> thm list * theory
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end;
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structure PureThy: PURE_THY =
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struct
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(*** theorem tags ***)
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(* add / delete tags *)
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fun tag_rule tg = Thm.map_tags (insert (op =) tg);
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fun untag_rule s = Thm.map_tags (filter_out (fn (s', _) => s = s'));
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fun tag tg x = Thm.rule_attribute (K (tag_rule tg)) x;
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fun untag s x = Thm.rule_attribute (K (untag_rule s)) x;
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(* unofficial theorem names *)
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fun the_name_hint thm = the (AList.lookup (op =) (Thm.get_tags thm) Markup.nameN);
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val has_name_hint = can the_name_hint;
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val get_name_hint = the_default "??.unknown" o try the_name_hint;
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fun put_name_hint name = untag_rule Markup.nameN #> tag_rule (Markup.nameN, name);
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(* theorem groups *)
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fun get_group thm = AList.lookup (op =) (Thm.get_tags thm) Markup.groupN;
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fun put_group name =
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  if name = "" then I else Thm.map_tags (AList.update (op =) (Markup.groupN, name));
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fun group name = Thm.rule_attribute (K (put_group name));
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(* theorem kinds *)
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fun the_kind thm = the (AList.lookup (op =) (Thm.get_tags thm) Markup.kindN);
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val has_kind = can the_kind;
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val get_kind = the_default "" o try the_kind;
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fun kind_rule k = tag_rule (Markup.kindN, k) o untag_rule Markup.kindN;
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fun kind k x = if k = "" then x else Thm.rule_attribute (K (kind_rule k)) x;
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fun kind_internal x = kind Thm.internalK x;
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fun has_internal tags = exists (fn tg => tg = (Markup.kindN, Thm.internalK)) tags;
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val is_internal = has_internal o Thm.get_tags;
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(*** theorem database ***)
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(** dataype theorems **)
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datatype thms = Thms of
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 {theorems: thm list NameSpace.table,   (* FIXME legacy *)
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  all_facts: Facts.T};
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fun make_thms (theorems, all_facts) = Thms {theorems = theorems, all_facts = all_facts};
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structure TheoremsData = TheoryDataFun
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(
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  type T = thms;
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  val empty = make_thms (NameSpace.empty_table, Facts.empty);
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  val copy = I;
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  fun extend (Thms {theorems = _, all_facts}) = make_thms (NameSpace.empty_table, all_facts);
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  fun merge _
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     (Thms {theorems = _, all_facts = all_facts1},
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      Thms {theorems = _, all_facts = all_facts2}) =
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    make_thms (NameSpace.empty_table, Facts.merge (all_facts1, all_facts2));
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);
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fun map_theorems f =
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  TheoremsData.map (fn Thms {theorems, all_facts} => make_thms (f (theorems, all_facts)));
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val get_theorems = (fn Thms args => args) o TheoremsData.get;
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val theorems_of = #theorems o get_theorems;
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val facts_of = #all_facts o get_theorems;
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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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(** retrieve theorems **)
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local
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fun lookup_thms thy xname =
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  let
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    val (space, thms) = #theorems (get_theorems thy);
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    val name = NameSpace.intern space xname;
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  in Option.map (pair name) (Symtab.lookup thms name) end;
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fun lookup_fact context thy xname =
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  let val name = intern_fact thy xname
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  in Option.map (pair name) (Facts.lookup context (facts_of thy) name) end;
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in
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fun get_fact context theory 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 new_res = lookup_fact context theory xname;
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    val old_res = get_first (fn thy => lookup_thms thy xname) (theory :: Theory.ancestors_of theory);
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    val _ = Theory.check_thy theory;
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  in
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    (case (new_res, old_res) of
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      (SOME (_, ths1), SOME (_, ths2)) => Thm.eq_thms (ths1, ths2) orelse
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        error ("Fact lookup differs from old-style thm database:\n" ^
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          fst (the new_res) ^ " vs " ^ fst (the old_res) ^ Position.str_of pos)
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    | _ => true);
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    (case new_res of
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      NONE => error ("Unknown fact " ^ quote xname ^ Position.str_of pos)
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    | SOME (_, ths) => Facts.select xthmref (map (Thm.transfer theory) 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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end;
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(* thms_of etc. *)
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fun thms_of thy =
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  let val thms = #2 (theorems_of thy)
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  in map (`(get_name_hint)) (maps snd (Symtab.dest thms)) end;
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fun all_thms_of thy = maps thms_of (thy :: Theory.ancestors_of thy);
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(** store theorems **)
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(* hide names *)
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fun hide_fact fully name =
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  map_theorems (fn (theorems, all_facts) => (theorems, Facts.hide fully name all_facts));
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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 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 has_name_hint thm andalso pre orelse name = "" then I else put_name_hint name)
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  |> Thm.map_tags (Position.default_properties (Position.thread_data ()));
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fun name_thms pre official name xs =
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  map (uncurry (name_thm pre official)) (name_multi name xs);
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fun name_thmss official name fact =
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  burrow_fact (name_thms true official name) fact;
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(* enter_thms *)
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fun enter_thms _ _ app_att ("", thms) thy = app_att (thy, thms) |> swap
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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') = 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' |> map_theorems (fn ((space, theorems), all_facts) =>
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          let
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            val space' = NameSpace.declare naming name space;
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            val theorems' = Symtab.update (name, thms'') theorems;
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            val all_facts' = Facts.add_global naming (name, thms'') all_facts;
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          in ((space', theorems'), all_facts') end);
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      in (thms'', thy'') end;
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(* store_thm(s) *)
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val store_thms = enter_thms (name_thms true true) (name_thms false true) 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) (name_thms false false) I (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)
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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);
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val add_thms = gen_add_thms (name_thms true true);
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(* add_thms_dynamic *)
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fun add_thms_dynamic (bname, f) thy =
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  let
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    val name = Sign.full_name thy bname;
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    val thy' = thy |> map_theorems (fn (theorems, all_facts) =>
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      (theorems, Facts.add_dynamic (Sign.naming_of thy) (name, f) all_facts));
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  in thy' end;
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(* note_thmss(_i) *)
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local
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fun gen_note_thmss get tag = fold_map (fn ((bname, more_atts), ths_atts) => fn thy =>
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  let
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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) (name_thms false true) (apsnd flat o foldl_map app)
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      (bname, map (fn (ths, atts) => (get thy ths, surround tag (atts @ more_atts))) ths_atts);
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  in ((bname, thms), thy') end);
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in
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fun note_thmss k = gen_note_thmss (fn thy => get_fact (Context.Theory thy) thy) (kind k);
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fun note_thmss_i k = gen_note_thmss (K I) (kind k);
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fun note_thmss_grouped k g = gen_note_thmss (K I) (kind k #> group g);
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end;
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fun note kind (name, thm) =
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  note_thmss_i kind [((name, []), [([thm], [])])]
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  #>> (fn [(_, [thm])] => thm);
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fun note_thmss_qualified k path facts thy =
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  thy
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  |> Sign.add_path path
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  |> Sign.no_base_names
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  |> note_thmss_i k facts
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  ||> Sign.restore_naming thy;
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(* store axioms as theorems *)
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local
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  fun get_ax thy (name, _) = Thm.get_axiom_i 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_axioms           = add_axm Theory.add_axioms;
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  val add_axioms_i         = add_axm Theory.add_axioms_i;
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  val add_defs             = add_axm o Theory.add_defs false;
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  val add_defs_i           = add_axm o Theory.add_defs_i false;
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  val add_defs_unchecked   = add_axm o Theory.add_defs true;
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  val add_defs_unchecked_i = add_axm o Theory.add_defs_i true;
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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 _ = Context.>> (Context.map_theory
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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 "id => aprop",                 Delimfix "_"),
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    ("",            typ "longid => aprop",             Delimfix "_"),
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    ("",            typ "var => aprop",                Delimfix "_"),
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   377
    ("_DDDOT",      typ "aprop",                       Delimfix "..."),
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   378
    ("_aprop",      typ "aprop => prop",               Delimfix "PROP _"),
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   379
    ("_asm",        typ "prop => asms",                Delimfix "_"),
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   380
    ("_asms",       typ "prop => asms => asms",        Delimfix "_;/ _"),
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   381
    ("_bigimpl",    typ "asms => prop => prop",        Mixfix ("((3[| _ |])/ ==> _)", [0, 1], 1)),
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   382
    ("_ofclass",    typ "type => logic => prop",       Delimfix "(1OFCLASS/(1'(_,/ _')))"),
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   383
    ("_mk_ofclass", typ "dummy",                       NoSyn),
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   384
    ("_TYPE",       typ "type => logic",               Delimfix "(1TYPE/(1'(_')))"),
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   385
    ("",            typ "id => logic",                 Delimfix "_"),
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   386
    ("",            typ "longid => logic",             Delimfix "_"),
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   387
    ("",            typ "var => logic",                Delimfix "_"),
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   388
    ("_DDDOT",      typ "logic",                       Delimfix "..."),
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   389
    ("_constify",   typ "num => num_const",            Delimfix "_"),
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   390
    ("_indexnum",   typ "num_const => index",          Delimfix "\\<^sub>_"),
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   391
    ("_index",      typ "logic => index",              Delimfix "(00\\<^bsub>_\\<^esub>)"),
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   392
    ("_indexdefault", typ "index",                     Delimfix ""),
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   393
    ("_indexvar",   typ "index",                       Delimfix "'\\<index>"),
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   394
    ("_struct",     typ "index => logic",              Mixfix ("\\<struct>_", [1000], 1000)),
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   395
    ("==>",         typ "prop => prop => prop",        Delimfix "op ==>"),
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   396
    (Term.dummy_patternN, typ "aprop",                 Delimfix "'_"),
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   397
    ("_appl",       typ "('b => 'a) => args => logic", Mixfix ("(1_/(1'(_')))", [1000, 0], 1000)),
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   398
    ("_appl",       typ "('b => 'a) => args => aprop", Mixfix ("(1_/(1'(_')))", [1000, 0], 1000))]
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   399
  #> Sign.add_modesyntax_i (Symbol.xsymbolsN, true)
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   400
   [("fun",      typ "type => type => type",   Mixfix ("(_/ \\<Rightarrow> _)", [1, 0], 0)),
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   401
    ("_bracket", typ "types => type => type",  Mixfix ("([_]/ \\<Rightarrow> _)", [0, 0], 0)),
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   402
    ("_ofsort",  typ "tid => sort => type",    Mixfix ("_\\<Colon>_", [1000, 0], 1000)),
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   403
    ("_constrain", typ "'a => type => 'a",     Mixfix ("_\\<Colon>_", [4, 0], 3)),
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   404
    ("_idtyp",    typ "id => type => idt",     Mixfix ("_\\<Colon>_", [], 0)),
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   405
    ("_idtypdummy", typ "type => idt",         Mixfix ("'_()\\<Colon>_", [], 0)),
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   406
    ("_type_constraint_", typ "'a",            NoSyn),
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   407
    ("_lambda",  typ "pttrns => 'a => logic",  Mixfix ("(3\\<lambda>_./ _)", [0, 3], 3)),
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   408
    ("==",       typ "'a => 'a => prop",       InfixrName ("\\<equiv>", 2)),
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   409
    ("all_binder", typ "idts => prop => prop", Mixfix ("(3\\<And>_./ _)", [0, 0], 0)),
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   410
    ("==>",      typ "prop => prop => prop",   InfixrName ("\\<Longrightarrow>", 1)),
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   411
    ("_DDDOT",   typ "aprop",                  Delimfix "\\<dots>"),
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   412
    ("_bigimpl", typ "asms => prop => prop",   Mixfix ("((1\\<lbrakk>_\\<rbrakk>)/ \\<Longrightarrow> _)", [0, 1], 1)),
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   413
    ("_DDDOT",   typ "logic",                  Delimfix "\\<dots>")]
wenzelm@26430
   414
  #> Sign.add_modesyntax_i ("", false)
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   415
   [("prop", typ "prop => prop", Mixfix ("_", [0], 0)),
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   416
    ("Pure.term", typ "'a => prop", Delimfix "TERM _"),
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   417
    ("Pure.conjunction", typ "prop => prop => prop", InfixrName ("&&", 2))]
wenzelm@26430
   418
  #> Sign.add_modesyntax_i ("HTML", false)
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   419
   [("_lambda", typ "pttrns => 'a => logic", Mixfix ("(3\\<lambda>_./ _)", [0, 3], 3))]
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   420
  #> Sign.add_consts_i
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   421
   [("==", typ "'a => 'a => prop", InfixrName ("==", 2)),
wenzelm@24243
   422
    ("==>", typ "prop => prop => prop", Mixfix ("(_/ ==> _)", [2, 1], 1)),
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   423
    ("all", typ "('a => prop) => prop", Binder ("!!", 0, 0)),
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   424
    ("prop", typ "prop => prop", NoSyn),
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   425
    ("TYPE", typ "'a itself", NoSyn),
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   426
    (Term.dummy_patternN, typ "'a", Delimfix "'_")]
wenzelm@26430
   427
  #> Theory.add_deps "==" ("==", typ "'a => 'a => prop") []
wenzelm@26430
   428
  #> Theory.add_deps "==>" ("==>", typ "prop => prop => prop") []
wenzelm@26430
   429
  #> Theory.add_deps "all" ("all", typ "('a => prop) => prop") []
wenzelm@26430
   430
  #> Theory.add_deps "TYPE" ("TYPE", typ "'a itself") []
wenzelm@26430
   431
  #> Theory.add_deps Term.dummy_patternN (Term.dummy_patternN, typ "'a") []
wenzelm@26430
   432
  #> Sign.add_trfuns Syntax.pure_trfuns
wenzelm@26430
   433
  #> Sign.add_trfunsT Syntax.pure_trfunsT
wenzelm@26430
   434
  #> Sign.local_path
wenzelm@26430
   435
  #> Sign.add_consts_i
wenzelm@24243
   436
   [("term", typ "'a => prop", NoSyn),
wenzelm@24243
   437
    ("conjunction", typ "prop => prop => prop", NoSyn)]
wenzelm@26430
   438
  #> (add_defs_i false o map Thm.no_attributes)
wenzelm@24243
   439
   [("prop_def", prop "(CONST prop :: prop => prop) (A::prop) == A::prop"),
wenzelm@26430
   440
    ("term_def", prop "(CONST Pure.term :: 'a => prop) (x::'a) == (!!A::prop. A ==> A)"),
wenzelm@26430
   441
    ("conjunction_def", prop "(A && B) == (!!C::prop. (A ==> B ==> C) ==> C)")] #> snd
wenzelm@26666
   442
  #> Sign.hide_const false "Pure.conjunction"
wenzelm@26666
   443
  #> Sign.hide_const false "Pure.term"
wenzelm@26430
   444
  #> add_thmss [(("nothing", []), [])] #> snd
wenzelm@26463
   445
  #> Theory.add_axioms_i Proofterm.equality_axms));
wenzelm@3987
   446
wenzelm@3987
   447
end;
wenzelm@3987
   448