author  wenzelm 
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permissions  rwrr 
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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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27198  60 
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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); 
3987  68 

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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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6367  85 

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(** retrieve theorems **) 
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27198  89 
fun get_fact context thy xthmref = 
26683  90 
let 
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val xname = Facts.name_of_ref xthmref; 

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val pos = Facts.pos_of_ref xthmref; 

27198  93 

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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))) 

26683  103 
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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21580  115 
(* 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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6091  170 
(* add_thms(s) *) 
4853  171 

16441  172 
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); 
4853  175 

18377  176 
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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28076  182 
val add_thmss = gen_add_thmss (name_thms true true Position.none); 
183 
val add_thms = gen_add_thms (name_thms true true Position.none); 

27683  184 
val add_thm = yield_singleton add_thms; 
5907  185 

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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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27728  194 
(* note_thmss *) 
5907  195 

9192  196 
local 
12711  197 

28076  198 
fun gen_note_thmss tag = fold_map (fn ((binding, more_atts), ths_atts) => fn thy => 
12711  199 
let 
28076  200 
val bname = Name.name_of binding; 
201 
val pos = Name.pos_of binding; 

202 
val name = Sign.full_name thy bname; 

203 
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) 
27728  208 
(bname, map (fn (ths, atts) => (ths, surround tag (atts @ more_atts))) ths_atts); 
28076  209 
in ((name, thms), thy') end); 
12711  210 

9192  211 
in 
12711  212 

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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); 
12711  215 

21438  216 
end; 
217 

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(* store axioms as theorems *) 
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4853  221 
local 
28674  222 
fun get_ax thy (name, _) = Thm.axiom thy (Sign.full_name thy name); 
26655  223 
fun get_axs thy named_axs = map (Thm.forall_elim_vars 0 o get_ax thy) named_axs; 
26553  224 
fun add_axm add = fold_map (fn ((name, ax), atts) => fn thy => 
4853  225 
let 
11998  226 
val named_ax = [(name, ax)]; 
7753  227 
val thy' = add named_ax thy; 
228 
val thm = hd (get_axs thy' named_ax); 

26553  229 
in apfst hd (gen_add_thms (K I) [((name, thm), atts)] thy') end); 
4853  230 
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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3987  240 

26430  241 
(*** Pure theory syntax and logical content ***) 
3987  242 

24243  243 
val typ = SimpleSyntax.read_typ; 
244 
val term = SimpleSyntax.read_term; 

245 
val prop = SimpleSyntax.read_prop; 

246 

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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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26463  284 
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)] 
26430  291 
#> Sign.add_nonterminals Syntax.basic_nonterms 
292 
#> Sign.add_syntax_i 

26436  293 
[("_lambda", typ "pttrns => 'a => logic", Mixfix ("(3%_./ _)", [0, 3], 3)), 
294 
("_abs", typ "'a", NoSyn), 

295 
("", typ "'a => args", Delimfix "_"), 

296 
("_args", typ "'a => args => args", Delimfix "_,/ _"), 

297 
("", typ "id => idt", Delimfix "_"), 

298 
("_idtdummy", typ "idt", Delimfix "'_"), 

299 
("_idtyp", typ "id => type => idt", Mixfix ("_::_", [], 0)), 

300 
("_idtypdummy", typ "type => idt", Mixfix ("'_()::_", [], 0)), 

301 
("", typ "idt => idt", Delimfix "'(_')"), 

302 
("", typ "idt => idts", Delimfix "_"), 

303 
("_idts", typ "idt => idts => idts", Mixfix ("_/ _", [1, 0], 0)), 

304 
("", typ "idt => pttrn", Delimfix "_"), 

305 
("", typ "pttrn => pttrns", Delimfix "_"), 

306 
("_pttrns", typ "pttrn => pttrns => pttrns", Mixfix ("_/ _", [1, 0], 0)), 

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("", typ "aprop => aprop", Delimfix "'(_')"), 
26436  308 
("", typ "id => aprop", Delimfix "_"), 
309 
("", typ "longid => aprop", Delimfix "_"), 

310 
("", typ "var => aprop", Delimfix "_"), 

311 
("_DDDOT", typ "aprop", Delimfix "..."), 

312 
("_aprop", typ "aprop => prop", Delimfix "PROP _"), 

313 
("_asm", typ "prop => asms", Delimfix "_"), 

314 
("_asms", typ "prop => asms => asms", Delimfix "_;/ _"), 

315 
("_bigimpl", typ "asms => prop => prop", Mixfix ("((3[ _ ])/ ==> _)", [0, 1], 1)), 

316 
("_ofclass", typ "type => logic => prop", Delimfix "(1OFCLASS/(1'(_,/ _')))"), 

317 
("_mk_ofclass", typ "dummy", NoSyn), 

318 
("_TYPE", typ "type => logic", Delimfix "(1TYPE/(1'(_')))"), 

319 
("", typ "id => logic", Delimfix "_"), 

320 
("", typ "longid => logic", Delimfix "_"), 

321 
("", typ "var => logic", Delimfix "_"), 

322 
("_DDDOT", typ "logic", Delimfix "..."), 

323 
("_constify", typ "num => num_const", Delimfix "_"), 

324 
("_indexnum", typ "num_const => index", Delimfix "\\<^sub>_"), 

325 
("_index", typ "logic => index", Delimfix "(00\\<^bsub>_\\<^esub>)"), 

326 
("_indexdefault", typ "index", Delimfix ""), 

327 
("_indexvar", typ "index", Delimfix "'\\<index>"), 

328 
("_struct", typ "index => logic", Mixfix ("\\<struct>_", [1000], 1000)), 

329 
("==>", typ "prop => prop => prop", Delimfix "op ==>"), 

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(Term.dummy_patternN, typ "aprop", Delimfix "'_"), 
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("_sort_constraint", typ "type => prop", Delimfix "(1SORT'_CONSTRAINT/(1'(_')))"), 
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("Pure.term", typ "logic => prop", Delimfix "TERM _"), 
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("Pure.conjunction", typ "prop => prop => prop", InfixrName ("&&&", 2))] 
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#> Sign.add_syntax_i applC_syntax 
26430  335 
#> Sign.add_modesyntax_i (Symbol.xsymbolsN, true) 
24243  336 
[("fun", typ "type => type => type", Mixfix ("(_/ \\<Rightarrow> _)", [1, 0], 0)), 
337 
("_bracket", typ "types => type => type", Mixfix ("([_]/ \\<Rightarrow> _)", [0, 0], 0)), 

338 
("_ofsort", typ "tid => sort => type", Mixfix ("_\\<Colon>_", [1000, 0], 1000)), 

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("_constrain", typ "logic => type => logic", Mixfix ("_\\<Colon>_", [4, 0], 3)), 
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("_constrain", [spropT, typeT] > spropT, Mixfix ("_\\<Colon>_", [4, 0], 3)), 
24243  341 
("_idtyp", typ "id => type => idt", Mixfix ("_\\<Colon>_", [], 0)), 
342 
("_idtypdummy", typ "type => idt", Mixfix ("'_()\\<Colon>_", [], 0)), 

343 
("_type_constraint_", typ "'a", NoSyn), 

344 
("_lambda", typ "pttrns => 'a => logic", Mixfix ("(3\\<lambda>_./ _)", [0, 3], 3)), 

345 
("==", typ "'a => 'a => prop", InfixrName ("\\<equiv>", 2)), 

346 
("all_binder", typ "idts => prop => prop", Mixfix ("(3\\<And>_./ _)", [0, 0], 0)), 

347 
("==>", typ "prop => prop => prop", InfixrName ("\\<Longrightarrow>", 1)), 

348 
("_DDDOT", typ "aprop", Delimfix "\\<dots>"), 

349 
("_bigimpl", typ "asms => prop => prop", Mixfix ("((1\\<lbrakk>_\\<rbrakk>)/ \\<Longrightarrow> _)", [0, 1], 1)), 

350 
("_DDDOT", typ "logic", Delimfix "\\<dots>")] 

26430  351 
#> Sign.add_modesyntax_i ("", false) 
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[("prop", typ "prop => prop", Mixfix ("_", [0], 0))] 
26430  353 
#> Sign.add_modesyntax_i ("HTML", false) 
24243  354 
[("_lambda", typ "pttrns => 'a => logic", Mixfix ("(3\\<lambda>_./ _)", [0, 3], 3))] 
26430  355 
#> Sign.add_consts_i 
24243  356 
[("==", typ "'a => 'a => prop", InfixrName ("==", 2)), 
357 
("==>", typ "prop => prop => prop", Mixfix ("(_/ ==> _)", [2, 1], 1)), 

358 
("all", typ "('a => prop) => prop", Binder ("!!", 0, 0)), 

359 
("prop", typ "prop => prop", NoSyn), 

360 
("TYPE", typ "'a itself", NoSyn), 

361 
(Term.dummy_patternN, typ "'a", Delimfix "'_")] 

26430  362 
#> Theory.add_deps "==" ("==", typ "'a => 'a => prop") [] 
363 
#> Theory.add_deps "==>" ("==>", typ "prop => prop => prop") [] 

364 
#> Theory.add_deps "all" ("all", typ "('a => prop) => prop") [] 

365 
#> Theory.add_deps "TYPE" ("TYPE", typ "'a itself") [] 

366 
#> Theory.add_deps Term.dummy_patternN (Term.dummy_patternN, typ "'a") [] 

367 
#> Sign.add_trfuns Syntax.pure_trfuns 

368 
#> Sign.add_trfunsT Syntax.pure_trfunsT 

369 
#> Sign.local_path 

370 
#> Sign.add_consts_i 

24243  371 
[("term", typ "'a => prop", NoSyn), 
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("sort_constraint", typ "'a itself => prop", NoSyn), 
24243  373 
("conjunction", typ "prop => prop => prop", NoSyn)] 
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#> (add_defs false o map Thm.no_attributes) 
24243  375 
[("prop_def", prop "(CONST prop :: prop => prop) (A::prop) == A::prop"), 
26430  376 
("term_def", prop "(CONST Pure.term :: 'a => prop) (x::'a) == (!!A::prop. A ==> A)"), 
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("sort_constraint_def", 
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prop "(CONST Pure.sort_constraint :: 'a itself => prop) (CONST TYPE :: 'a itself) ==\ 
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\ (CONST Pure.term :: 'a itself => prop) (CONST TYPE :: 'a itself)"), 
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("conjunction_def", prop "(A &&& B) == (!!C::prop. (A ==> B ==> C) ==> C)")] #> snd 
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#> Sign.hide_const false "Pure.term" 
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#> Sign.hide_const false "Pure.sort_constraint" 
26666  383 
#> Sign.hide_const false "Pure.conjunction" 
26430  384 
#> add_thmss [(("nothing", []), [])] #> snd 
26463  385 
#> Theory.add_axioms_i Proofterm.equality_axms)); 
3987  386 

387 
end; 