src/Pure/pure_thy.ML
author wenzelm
Tue Sep 25 17:06:18 2007 +0200 (2007-09-25)
changeset 24713 8b3b6d09ef40
parent 24434 c588ec4cf194
child 24770 695a8e087b9f
permissions -rw-r--r--
tuned functor application;
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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.  The ProtoPure theory.
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*)
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signature BASIC_PURE_THY =
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sig
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  datatype interval = FromTo of int * int | From of int | Single of int
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  datatype thmref =
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    Name of string |
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    NameSelection of string * interval list |
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    Fact of string
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  val get_thm: theory -> thmref -> thm
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  val get_thms: theory -> thmref -> thm list
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  val get_thmss: theory -> thmref list -> thm list
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  structure ProtoPure:
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    sig
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      val thy: theory
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      val prop_def: thm
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      val term_def: thm
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      val conjunction_def: thm
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    end
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end;
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signature PURE_THY =
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sig
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  include BASIC_PURE_THY
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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 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 string_of_thmref: thmref -> string
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  val get_thm_closure: theory -> thmref -> thm
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  val get_thms_closure: theory -> thmref -> thm list
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  val single_thm: string -> thm list -> thm
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  val name_of_thmref: thmref -> string
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  val map_name_of_thmref: (string -> string) -> thmref -> thmref
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  val select_thm: thmref -> thm list -> thm list
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  val selections: string * thm list -> (thmref * thm) list
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  val theorems_of: theory -> thm list NameSpace.table
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  val fact_index_of: theory -> FactIndex.T
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  val valid_thms: theory -> thmref * thm list -> bool
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  val thms_containing: theory -> FactIndex.spec -> (string * thm list) list
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  val thms_containing_consts: theory -> string list -> (string * thm) list
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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_thms: bool -> string list -> 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_thm: (bstring * thm) * attribute list -> theory -> thm * theory
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  val smart_store_thms: (bstring * thm list) -> thm list
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  val smart_store_thms_open: (bstring * thm list) -> thm list
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  val forall_elim_var: int -> thm -> thm
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  val forall_elim_vars: int -> thm -> thm
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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 note_thmss: string -> ((bstring * attribute list) *
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    (thmref * 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_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_axiomss: ((bstring * string list) * attribute list) list ->
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    theory -> thm list list * theory
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  val add_axiomss_i: ((bstring * term list) * attribute list) list ->
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    theory -> thm list list * theory
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  val simple_def: bstring * attribute list ->
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    ((bstring * typ * mixfix) * term list) * term -> theory -> (string * thm) * 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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  val add_defss: bool -> ((bstring * string list) * attribute list) list ->
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    theory -> thm list list * theory
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  val add_defss_i: bool -> ((bstring * term list) * attribute list) list ->
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    theory -> thm list list * theory
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  val appl_syntax: (string * typ * mixfix) list
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  val applC_syntax: (string * typ * mixfix) list
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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 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 "??.unknown" 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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structure TheoremsData = TheoryDataFun
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(
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  type T =
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   {theorems: thm list NameSpace.table,
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    index: FactIndex.T} ref;
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  fun mk_empty _ =
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    ref {theorems = NameSpace.empty_table, index = FactIndex.empty}: T;
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  val empty = mk_empty ();
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  fun copy (ref x) = ref x;
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  val extend = mk_empty;
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  fun merge _ = mk_empty;
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);
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val get_theorems_ref = TheoremsData.get;
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val get_theorems = ! o get_theorems_ref;
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val theorems_of = #theorems o get_theorems;
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val fact_index_of = #index o get_theorems;
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(** retrieve theorems **)
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fun the_thms _ (SOME thms) = thms
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  | the_thms name NONE = error ("Unknown theorem(s) " ^ quote name);
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fun single_thm _ [thm] = thm
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  | single_thm name _ = error ("Single theorem expected " ^ quote name);
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(* datatype interval *)
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datatype interval =
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  FromTo of int * int |
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  From of int |
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  Single of int;
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fun interval _ (FromTo (i, j)) = i upto j
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  | interval n (From i) = i upto n
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  | interval _ (Single i) = [i];
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fun string_of_interval (FromTo (i, j)) = string_of_int i ^ "-" ^ string_of_int j
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  | string_of_interval (From i) = string_of_int i ^ "-"
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  | string_of_interval (Single i) = string_of_int i;
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(* datatype thmref *)
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datatype thmref =
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  Name of string |
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  NameSelection of string * interval list |
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  Fact of string;
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fun name_of_thmref (Name name) = name
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  | name_of_thmref (NameSelection (name, _)) = name
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  | name_of_thmref (Fact _) = error "Illegal literal fact";
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fun map_name_of_thmref f (Name name) = Name (f name)
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  | map_name_of_thmref f (NameSelection (name, is)) = NameSelection (f name, is)
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  | map_name_of_thmref _ thmref = thmref;
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fun string_of_thmref (Name name) = name
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  | string_of_thmref (NameSelection (name, is)) =
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      name ^ enclose "(" ")" (commas (map string_of_interval is))
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  | string_of_thmref (Fact _) = error "Illegal literal fact";
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(* select_thm *)
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fun select_thm (Name _) thms = thms
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  | select_thm (Fact _) thms = thms
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  | select_thm (NameSelection (name, is)) thms =
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      let
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        val n = length thms;
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        fun select i =
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          if i < 1 orelse i > n then
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            error ("Bad subscript " ^ string_of_int i ^ " for " ^
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              quote name ^ " (length " ^ string_of_int n ^ ")")
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          else List.nth (thms, i - 1);
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      in map select (maps (interval n) is) end;
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(* selections *)
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fun selections (name, [thm]) = [(Name name, thm)]
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  | selections (name, thms) = (1 upto length thms, thms) |> ListPair.map (fn (i, thm) =>
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      (NameSelection (name, [Single i]), thm));
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(* get_thm(s)_closure -- statically scoped versions *)
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(*beware of proper order of evaluation!*)
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fun lookup_thms thy =
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  let
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    val (space, thms) = #theorems (get_theorems thy);
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    val thy_ref = Theory.check_thy thy;
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  in
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    fn name =>
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      Option.map (map (Thm.transfer (Theory.deref thy_ref)))     (*dynamic identity*)
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      (Symtab.lookup thms (NameSpace.intern space name)) (*static content*)
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  end;
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fun get_thms_closure thy =
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  let val closures = map lookup_thms (thy :: Theory.ancestors_of thy) in
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    fn thmref =>
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      let val name = name_of_thmref thmref;
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      in select_thm thmref (the_thms name (get_first (fn f => f name) closures)) end
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  end;
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fun get_thm_closure thy =
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  let val get = get_thms_closure thy
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  in fn thmref => single_thm (name_of_thmref thmref) (get thmref) end;
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(* get_thms etc. *)
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fun get_thms theory thmref =
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  let val name = name_of_thmref thmref in
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    get_first (fn thy => lookup_thms thy name) (theory :: Theory.ancestors_of theory)
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    |> the_thms name |> select_thm thmref |> map (Thm.transfer theory)
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  end;
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fun get_thmss thy thmrefs = maps (get_thms thy) thmrefs;
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fun get_thm thy thmref = single_thm (name_of_thmref thmref) (get_thms thy thmref);
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(* thms_containing etc. *)
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fun valid_thms thy (thmref, ths) =
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  (case try (get_thms thy) thmref of
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    NONE => false
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  | SOME ths' => Thm.eq_thms (ths, ths'));
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fun thms_containing theory spec =
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  (theory :: Theory.ancestors_of theory)
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  |> maps (fn thy =>
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      FactIndex.find (fact_index_of thy) spec
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      |> List.filter (fn (name, ths) => valid_thms theory (Name name, ths))
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      |> distinct (eq_fst (op =)));
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fun thms_containing_consts thy consts =
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  thms_containing thy (consts, []) |> maps #2
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  |> map (`(get_name_hint));
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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 **)                    (*DESTRUCTIVE*)
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(* hiding -- affects current theory node only *)
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fun hide_thms fully names thy = CRITICAL (fn () =>
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  let
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    val r as ref {theorems = (space, thms), index} = get_theorems_ref thy;
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    val space' = fold (NameSpace.hide fully) names space;
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  in r := {theorems = (space', thms), index = index}; thy end);
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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 gen_names _ len "" = replicate len ""
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  | gen_names j len name = map (fn i => name ^ "_" ^ string_of_int i) (j + 1 upto j + len);
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fun name_multi name [x] = [(name, x)]
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  | name_multi name xs = gen_names 0 (length xs) name ~~ xs;
berghofe@12235
   331
wenzelm@21646
   332
fun name_thm pre official name thm = thm
wenzelm@21646
   333
  |> (if Thm.get_name thm <> "" andalso pre orelse not official then I else Thm.put_name name)
wenzelm@21964
   334
  |> (if has_name_hint thm andalso pre orelse name = "" then I else put_name_hint name);
berghofe@12872
   335
wenzelm@21646
   336
fun name_thms pre official name xs =
wenzelm@21646
   337
  map (uncurry (name_thm pre official)) (name_multi name xs);
berghofe@12235
   338
wenzelm@21646
   339
fun name_thmss official name fact =
wenzelm@21646
   340
  burrow_fact (name_thms true official name) fact;
wenzelm@4853
   341
wenzelm@4853
   342
berghofe@11998
   343
(* enter_thms *)
wenzelm@4853
   344
wenzelm@7470
   345
fun warn_overwrite name = warning ("Replaced old copy of theorems " ^ quote name);
wenzelm@7470
   346
fun warn_same name = warning ("Theorem database already contains a copy of " ^ quote name);
wenzelm@3987
   347
haftmann@18418
   348
fun enter_thms _ _ app_att ("", thms) thy = app_att (thy, thms) |> swap
wenzelm@23933
   349
  | enter_thms pre_name post_name app_att (bname, thms) thy = CRITICAL (fn () =>
wenzelm@7470
   350
      let
wenzelm@16441
   351
        val name = Sign.full_name thy bname;
wenzelm@16441
   352
        val (thy', thms') = apsnd (post_name name) (app_att (thy, pre_name name thms));
wenzelm@16513
   353
        val r as ref {theorems = (space, theorems), index} = get_theorems_ref thy';
wenzelm@16513
   354
        val space' = Sign.declare_name thy' name space;
wenzelm@17418
   355
        val theorems' = Symtab.update (name, thms') theorems;
wenzelm@18031
   356
        val index' = FactIndex.add_global (name, thms') index;
wenzelm@13274
   357
      in
wenzelm@17418
   358
        (case Symtab.lookup theorems name of
skalberg@15531
   359
          NONE => ()
wenzelm@16441
   360
        | SOME thms'' =>
wenzelm@16441
   361
            if Thm.eq_thms (thms', thms'') then warn_same name
wenzelm@13274
   362
            else warn_overwrite name);
wenzelm@16336
   363
        r := {theorems = (space', theorems'), index = index'};
haftmann@18418
   364
        (thms', thy')
wenzelm@23933
   365
      end);
wenzelm@3987
   366
wenzelm@16023
   367
wenzelm@6091
   368
(* add_thms(s) *)
wenzelm@4853
   369
wenzelm@16441
   370
fun add_thms_atts pre_name ((bname, thms), atts) =
wenzelm@21646
   371
  enter_thms pre_name (name_thms false true)
wenzelm@21646
   372
    (foldl_map (Thm.theory_attributes atts)) (bname, thms);
wenzelm@4853
   373
haftmann@18377
   374
fun gen_add_thmss pre_name =
haftmann@18377
   375
  fold_map (add_thms_atts pre_name);
wenzelm@5907
   376
berghofe@12235
   377
fun gen_add_thms pre_name args =
haftmann@18377
   378
  apfst (map hd) o gen_add_thmss pre_name (map (apfst (apsnd single)) args);
berghofe@12235
   379
wenzelm@21646
   380
val add_thmss = gen_add_thmss (name_thms true true);
wenzelm@21646
   381
val add_thms = gen_add_thms (name_thms true true);
wenzelm@5907
   382
wenzelm@5907
   383
wenzelm@14564
   384
(* note_thmss(_i) *)
wenzelm@5907
   385
wenzelm@9192
   386
local
wenzelm@12711
   387
wenzelm@18801
   388
fun gen_note_thmss get k = fold_map (fn ((bname, more_atts), ths_atts) => fn thy =>
wenzelm@12711
   389
  let
wenzelm@18728
   390
    fun app (x, (ths, atts)) = foldl_map (Thm.theory_attributes atts) (x, ths);
haftmann@18418
   391
    val (thms, thy') = thy |> enter_thms
wenzelm@21646
   392
      (name_thmss true) (name_thms false true) (apsnd flat o foldl_map app)
wenzelm@18801
   393
      (bname, map (fn (ths, atts) => (get thy ths, atts @ more_atts @ [kind k])) ths_atts);
wenzelm@18801
   394
  in ((bname, thms), thy') end);
wenzelm@12711
   395
wenzelm@9192
   396
in
wenzelm@12711
   397
haftmann@18418
   398
val note_thmss = gen_note_thmss get_thms;
haftmann@18418
   399
val note_thmss_i = gen_note_thmss (K I);
wenzelm@12711
   400
wenzelm@21438
   401
end;
wenzelm@21438
   402
wenzelm@18801
   403
fun note_thmss_qualified k path facts thy =
wenzelm@18801
   404
  thy
wenzelm@22796
   405
  |> Sign.add_path path
wenzelm@22796
   406
  |> Sign.no_base_names
wenzelm@18801
   407
  |> note_thmss_i k facts
wenzelm@22796
   408
  ||> Sign.restore_naming thy;
wenzelm@18801
   409
wenzelm@5280
   410
wenzelm@6091
   411
(* store_thm *)
wenzelm@5280
   412
berghofe@11998
   413
fun store_thm ((bname, thm), atts) thy =
wenzelm@21646
   414
  let val ([th'], thy') = add_thms_atts (name_thms true true) ((bname, [thm]), atts) thy
haftmann@18358
   415
  in (th', thy') end;
wenzelm@3987
   416
wenzelm@3987
   417
wenzelm@16441
   418
(* smart_store_thms(_open) *)
wenzelm@3987
   419
wenzelm@16441
   420
local
wenzelm@16441
   421
wenzelm@16441
   422
fun smart_store _ (name, []) =
berghofe@11516
   423
      error ("Cannot store empty list of theorems: " ^ quote name)
wenzelm@21646
   424
  | smart_store official (name, [thm]) =
wenzelm@21646
   425
      fst (enter_thms (name_thms true official) (name_thms false official) I (name, [thm])
wenzelm@21646
   426
        (Thm.theory_of_thm thm))
wenzelm@21646
   427
  | smart_store official (name, thms) =
wenzelm@21646
   428
      let val thy = Theory.merge_list (map Thm.theory_of_thm thms) in
wenzelm@21646
   429
        fst (enter_thms (name_thms true official) (name_thms false official) I (name, thms) thy)
wenzelm@21646
   430
      end;
berghofe@11516
   431
wenzelm@16441
   432
in
wenzelm@16441
   433
wenzelm@21646
   434
val smart_store_thms = smart_store true;
wenzelm@21646
   435
val smart_store_thms_open = smart_store false;
wenzelm@16441
   436
wenzelm@16441
   437
end;
wenzelm@3987
   438
wenzelm@3987
   439
wenzelm@16722
   440
(* forall_elim_var(s) -- belongs to drule.ML *)
wenzelm@7899
   441
wenzelm@16722
   442
fun forall_elim_vars_aux strip_vars i th =
wenzelm@16722
   443
  let
wenzelm@16722
   444
    val {thy, tpairs, prop, ...} = Thm.rep_thm th;
haftmann@16787
   445
    val add_used = Term.fold_aterms
haftmann@20853
   446
      (fn Var ((x, j), _) => if i = j then insert (op =) x else I | _ => I);
wenzelm@16722
   447
    val used = fold (fn (t, u) => add_used t o add_used u) tpairs (add_used prop []);
wenzelm@16722
   448
    val vars = strip_vars prop;
wenzelm@20071
   449
    val cvars = (Name.variant_list used (map #1 vars), vars)
wenzelm@16722
   450
      |> ListPair.map (fn (x, (_, T)) => Thm.cterm_of thy (Var ((x, i), T)));
wenzelm@16722
   451
  in fold Thm.forall_elim cvars th end;
wenzelm@7899
   452
wenzelm@16722
   453
val forall_elim_vars = forall_elim_vars_aux Term.strip_all_vars;
wenzelm@16722
   454
wenzelm@16722
   455
fun forall_elim_var i th = forall_elim_vars_aux
wenzelm@16722
   456
  (fn Const ("all", _) $ Abs (a, T, _) => [(a, T)]
wenzelm@16722
   457
  | _ => raise THM ("forall_elim_vars", i, [th])) i th;
wenzelm@7899
   458
wenzelm@7899
   459
wenzelm@4022
   460
(* store axioms as theorems *)
wenzelm@4022
   461
wenzelm@4853
   462
local
wenzelm@17418
   463
  fun get_ax thy (name, _) = Thm.get_axiom_i thy (Sign.full_name thy name);
wenzelm@17418
   464
  fun get_axs thy named_axs = map (forall_elim_vars 0 o get_ax thy) named_axs;
haftmann@18377
   465
  fun add_single add ((name, ax), atts) thy =
wenzelm@4853
   466
    let
berghofe@11998
   467
      val named_ax = [(name, ax)];
wenzelm@7753
   468
      val thy' = add named_ax thy;
wenzelm@7753
   469
      val thm = hd (get_axs thy' named_ax);
haftmann@18377
   470
    in apfst hd (gen_add_thms (K I) [((name, thm), atts)] thy') end;
haftmann@18377
   471
  fun add_multi add ((name, axs), atts) thy =
wenzelm@7753
   472
    let
wenzelm@7753
   473
      val named_axs = name_multi name axs;
wenzelm@4853
   474
      val thy' = add named_axs thy;
wenzelm@7753
   475
      val thms = get_axs thy' named_axs;
haftmann@18377
   476
    in apfst hd (gen_add_thmss (K I) [((name, thms), atts)] thy') end;
haftmann@18377
   477
  fun add_singles add = fold_map (add_single add);
haftmann@18377
   478
  fun add_multis add = fold_map (add_multi add);
wenzelm@4853
   479
in
wenzelm@19629
   480
  val add_axioms           = add_singles Theory.add_axioms;
wenzelm@19629
   481
  val add_axioms_i         = add_singles Theory.add_axioms_i;
wenzelm@19629
   482
  val add_axiomss          = add_multis Theory.add_axioms;
wenzelm@19629
   483
  val add_axiomss_i        = add_multis Theory.add_axioms_i;
wenzelm@22796
   484
  val add_defs             = add_singles o Theory.add_defs false;
wenzelm@22796
   485
  val add_defs_i           = add_singles o Theory.add_defs_i false;
wenzelm@22796
   486
  val add_defs_unchecked   = add_singles o Theory.add_defs true;
wenzelm@22796
   487
  val add_defs_unchecked_i = add_singles o Theory.add_defs_i true;
wenzelm@22796
   488
  val add_defss            = add_multis o Theory.add_defs false;
wenzelm@22796
   489
  val add_defss_i          = add_multis o Theory.add_defs_i false;
wenzelm@4853
   490
end;
wenzelm@4022
   491
wenzelm@4022
   492
haftmann@24434
   493
(* simple interface for simple definitions *)
haftmann@24434
   494
haftmann@24434
   495
fun simple_def (raw_name, atts) (((raw_c, ty, syn), ts), t) thy =
haftmann@24434
   496
  let
haftmann@24434
   497
    val c = Sign.full_name thy raw_c;
haftmann@24434
   498
    val name = if raw_name = "" then Thm.def_name raw_c else raw_name;
haftmann@24434
   499
    val def = Logic.mk_equals (list_comb (Const (c, ty), ts), t);
haftmann@24434
   500
  in
haftmann@24434
   501
    thy
haftmann@24434
   502
    |> Sign.add_consts_authentic [(raw_c, ty, syn)]
haftmann@24434
   503
    |> add_defs_i false [((name, def), atts)]
haftmann@24434
   504
    |-> (fn [thm] => pair (c, thm))
haftmann@24434
   505
  end;
haftmann@24434
   506
haftmann@24434
   507
wenzelm@3987
   508
wenzelm@5091
   509
(*** the ProtoPure theory ***)
wenzelm@3987
   510
wenzelm@24243
   511
val typ = SimpleSyntax.read_typ;
wenzelm@24243
   512
val term = SimpleSyntax.read_term;
wenzelm@24243
   513
val prop = SimpleSyntax.read_prop;
wenzelm@24243
   514
wenzelm@24243
   515
val appl_syntax =
wenzelm@24243
   516
 [("_appl", typ "('b => 'a) => args => logic", Mixfix ("(1_/(1'(_')))", [1000, 0], 1000)),
wenzelm@24243
   517
  ("_appl", typ "('b => 'a) => args => aprop", Mixfix ("(1_/(1'(_')))", [1000, 0], 1000))];
wenzelm@24243
   518
wenzelm@24243
   519
val applC_syntax =
wenzelm@24243
   520
 [("",       typ "'a => cargs",                  Delimfix "_"),
wenzelm@24243
   521
  ("_cargs", typ "'a => cargs => cargs",         Mixfix ("_/ _", [1000, 1000], 1000)),
wenzelm@24243
   522
  ("_applC", typ "('b => 'a) => cargs => logic", Mixfix ("(1_/ _)", [1000, 1000], 999)),
wenzelm@24243
   523
  ("_applC", typ "('b => 'a) => cargs => aprop", Mixfix ("(1_/ _)", [1000, 1000], 999))];
wenzelm@16441
   524
wenzelm@3987
   525
val proto_pure =
wenzelm@16493
   526
  Context.pre_pure_thy
wenzelm@16987
   527
  |> Compress.init_data
wenzelm@16023
   528
  |> TheoremsData.init
wenzelm@22796
   529
  |> Sign.add_types
wenzelm@4922
   530
   [("fun", 2, NoSyn),
wenzelm@4922
   531
    ("prop", 0, NoSyn),
wenzelm@4922
   532
    ("itself", 1, NoSyn),
wenzelm@4922
   533
    ("dummy", 0, NoSyn)]
wenzelm@22796
   534
  |> Sign.add_nonterminals Syntax.basic_nonterms
wenzelm@24243
   535
  |> Sign.add_syntax_i
wenzelm@24243
   536
   [("_lambda",     typ "pttrns => 'a => logic",     Mixfix ("(3%_./ _)", [0, 3], 3)),
wenzelm@24243
   537
    ("_abs",        typ "'a",                        NoSyn),
wenzelm@24243
   538
    ("",            typ "'a => args",                Delimfix "_"),
wenzelm@24243
   539
    ("_args",       typ "'a => args => args",        Delimfix "_,/ _"),
wenzelm@24243
   540
    ("",            typ "id => idt",                 Delimfix "_"),
wenzelm@24243
   541
    ("_idtdummy",   typ "idt",                       Delimfix "'_"),
wenzelm@24243
   542
    ("_idtyp",      typ "id => type => idt",         Mixfix ("_::_", [], 0)),
wenzelm@24243
   543
    ("_idtypdummy", typ "type => idt",               Mixfix ("'_()::_", [], 0)),
wenzelm@24243
   544
    ("",            typ "idt => idt",                Delimfix "'(_')"),
wenzelm@24243
   545
    ("",            typ "idt => idts",               Delimfix "_"),
wenzelm@24243
   546
    ("_idts",       typ "idt => idts => idts",       Mixfix ("_/ _", [1, 0], 0)),
wenzelm@24243
   547
    ("",            typ "idt => pttrn",              Delimfix "_"),
wenzelm@24243
   548
    ("",            typ "pttrn => pttrns",           Delimfix "_"),
wenzelm@24243
   549
    ("_pttrns",     typ "pttrn => pttrns => pttrns", Mixfix ("_/ _", [1, 0], 0)),
wenzelm@24243
   550
    ("",            typ "id => aprop",               Delimfix "_"),
wenzelm@24243
   551
    ("",            typ "longid => aprop",           Delimfix "_"),
wenzelm@24243
   552
    ("",            typ "var => aprop",              Delimfix "_"),
wenzelm@24243
   553
    ("_DDDOT",      typ "aprop",                     Delimfix "..."),
wenzelm@24243
   554
    ("_aprop",      typ "aprop => prop",             Delimfix "PROP _"),
wenzelm@24243
   555
    ("_asm",        typ "prop => asms",              Delimfix "_"),
wenzelm@24243
   556
    ("_asms",       typ "prop => asms => asms",      Delimfix "_;/ _"),
wenzelm@24243
   557
    ("_bigimpl",    typ "asms => prop => prop",      Mixfix ("((3[| _ |])/ ==> _)", [0, 1], 1)),
wenzelm@24243
   558
    ("_ofclass",    typ "type => logic => prop",     Delimfix "(1OFCLASS/(1'(_,/ _')))"),
wenzelm@24243
   559
    ("_mk_ofclass", typ "dummy",                     NoSyn),
wenzelm@24243
   560
    ("_TYPE",       typ "type => logic",             Delimfix "(1TYPE/(1'(_')))"),
wenzelm@24243
   561
    ("",            typ "id => logic",               Delimfix "_"),
wenzelm@24243
   562
    ("",            typ "longid => logic",           Delimfix "_"),
wenzelm@24243
   563
    ("",            typ "var => logic",              Delimfix "_"),
wenzelm@24243
   564
    ("_DDDOT",      typ "logic",                     Delimfix "..."),
wenzelm@24243
   565
    ("_constify",   typ "num => num_const",          Delimfix "_"),
wenzelm@24243
   566
    ("_indexnum",   typ "num_const => index",        Delimfix "\\<^sub>_"),
wenzelm@24243
   567
    ("_index",      typ "logic => index",            Delimfix "(00\\<^bsub>_\\<^esub>)"),
wenzelm@24243
   568
    ("_indexdefault", typ "index",                   Delimfix ""),
wenzelm@24243
   569
    ("_indexvar",   typ "index",                     Delimfix "'\\<index>"),
wenzelm@24243
   570
    ("_struct",     typ "index => logic",            Mixfix ("\\<struct>_", [1000], 1000)),
wenzelm@24243
   571
    ("==>",         typ "prop => prop => prop",      Delimfix "op ==>"),
wenzelm@24243
   572
    (Term.dummy_patternN, typ "aprop",               Delimfix "'_")]
wenzelm@24243
   573
  |> Sign.add_syntax_i appl_syntax
wenzelm@24243
   574
  |> Sign.add_modesyntax_i (Symbol.xsymbolsN, true)
wenzelm@24243
   575
   [("fun",      typ "type => type => type",   Mixfix ("(_/ \\<Rightarrow> _)", [1, 0], 0)),
wenzelm@24243
   576
    ("_bracket", typ "types => type => type",  Mixfix ("([_]/ \\<Rightarrow> _)", [0, 0], 0)),
wenzelm@24243
   577
    ("_ofsort",  typ "tid => sort => type",    Mixfix ("_\\<Colon>_", [1000, 0], 1000)),
wenzelm@24243
   578
    ("_constrain", typ "'a => type => 'a",     Mixfix ("_\\<Colon>_", [4, 0], 3)),
wenzelm@24243
   579
    ("_idtyp",    typ "id => type => idt",     Mixfix ("_\\<Colon>_", [], 0)),
wenzelm@24243
   580
    ("_idtypdummy", typ "type => idt",         Mixfix ("'_()\\<Colon>_", [], 0)),
wenzelm@24243
   581
    ("_type_constraint_", typ "'a",            NoSyn),
wenzelm@24243
   582
    ("_lambda",  typ "pttrns => 'a => logic",  Mixfix ("(3\\<lambda>_./ _)", [0, 3], 3)),
wenzelm@24243
   583
    ("==",       typ "'a => 'a => prop",       InfixrName ("\\<equiv>", 2)),
wenzelm@24243
   584
    ("all_binder", typ "idts => prop => prop", Mixfix ("(3\\<And>_./ _)", [0, 0], 0)),
wenzelm@24243
   585
    ("==>",      typ "prop => prop => prop",   InfixrName ("\\<Longrightarrow>", 1)),
wenzelm@24243
   586
    ("_DDDOT",   typ "aprop",                  Delimfix "\\<dots>"),
wenzelm@24243
   587
    ("_bigimpl", typ "asms => prop => prop",   Mixfix ("((1\\<lbrakk>_\\<rbrakk>)/ \\<Longrightarrow> _)", [0, 1], 1)),
wenzelm@24243
   588
    ("_DDDOT",   typ "logic",                  Delimfix "\\<dots>")]
wenzelm@24243
   589
  |> Sign.add_modesyntax_i ("", false)
wenzelm@24243
   590
   [("prop", typ "prop => prop", Mixfix ("_", [0], 0)),
wenzelm@24243
   591
    ("ProtoPure.term", typ "'a => prop", Delimfix "TERM _"),
wenzelm@24243
   592
    ("ProtoPure.conjunction", typ "prop => prop => prop", InfixrName ("&&", 2))]
wenzelm@24243
   593
  |> Sign.add_modesyntax_i ("HTML", false)
wenzelm@24243
   594
   [("_lambda", typ "pttrns => 'a => logic", Mixfix ("(3\\<lambda>_./ _)", [0, 3], 3))]
wenzelm@24243
   595
  |> Sign.add_consts_i
wenzelm@24243
   596
   [("==", typ "'a => 'a => prop", InfixrName ("==", 2)),
wenzelm@24243
   597
    ("==>", typ "prop => prop => prop", Mixfix ("(_/ ==> _)", [2, 1], 1)),
wenzelm@24243
   598
    ("all", typ "('a => prop) => prop", Binder ("!!", 0, 0)),
wenzelm@24243
   599
    ("prop", typ "prop => prop", NoSyn),
wenzelm@24243
   600
    ("TYPE", typ "'a itself", NoSyn),
wenzelm@24243
   601
    (Term.dummy_patternN, typ "'a", Delimfix "'_")]
skalberg@14223
   602
  |> Theory.add_finals_i false
wenzelm@24243
   603
    [Const ("==", typ "'a => 'a => prop"),
wenzelm@24243
   604
     Const ("==>", typ "prop => prop => prop"),
wenzelm@24243
   605
     Const ("all", typ "('a => prop) => prop"),
wenzelm@24243
   606
     Const ("TYPE", typ "'a itself"),
wenzelm@24243
   607
     Const (Term.dummy_patternN, typ "'a")]
wenzelm@22796
   608
  |> Sign.add_trfuns Syntax.pure_trfuns
wenzelm@22796
   609
  |> Sign.add_trfunsT Syntax.pure_trfunsT
wenzelm@16441
   610
  |> Sign.local_path
wenzelm@24243
   611
  |> Sign.add_consts_i
wenzelm@24243
   612
   [("term", typ "'a => prop", NoSyn),
wenzelm@24243
   613
    ("conjunction", typ "prop => prop => prop", NoSyn)]
wenzelm@24243
   614
  |> (add_defs_i false o map Thm.no_attributes)
wenzelm@24243
   615
   [("prop_def", prop "(CONST prop :: prop => prop) (A::prop) == A::prop"),
wenzelm@24243
   616
    ("term_def", prop "(CONST ProtoPure.term :: 'a => prop) (x::'a) == (!!A::prop. A ==> A)"),
wenzelm@24243
   617
    ("conjunction_def", prop "(A && B) == (!!C::prop. (A ==> B ==> C) ==> C)")] |> snd
wenzelm@19775
   618
  |> Sign.hide_consts false ["conjunction", "term"]
haftmann@18377
   619
  |> add_thmss [(("nothing", []), [])] |> snd
berghofe@11516
   620
  |> Theory.add_axioms_i Proofterm.equality_axms
wenzelm@16493
   621
  |> Theory.end_theory;
wenzelm@3987
   622
wenzelm@5091
   623
structure ProtoPure =
wenzelm@5091
   624
struct
wenzelm@5091
   625
  val thy = proto_pure;
wenzelm@18031
   626
  val prop_def = get_axiom thy "prop_def";
wenzelm@19775
   627
  val term_def = get_axiom thy "term_def";
wenzelm@19125
   628
  val conjunction_def = get_axiom thy "conjunction_def";
wenzelm@5091
   629
end;
wenzelm@3987
   630
wenzelm@3987
   631
end;
wenzelm@3987
   632
wenzelm@4022
   633
structure BasicPureThy: BASIC_PURE_THY = PureThy;
wenzelm@4022
   634
open BasicPureThy;