src/Pure/Isar/proof_context.ML
author wenzelm
Sat, 24 Oct 2009 19:47:37 +0200
changeset 33100 bbd52d2f8696
parent 33031 b75c35574e04
child 33159 56f836b9414f
permissions -rw-r--r--
renamed NameSpace to Name_Space -- also to emphasize its subtle change in semantics;
     1 (*  Title:      Pure/Isar/proof_context.ML
     2     Author:     Markus Wenzel, TU Muenchen
     3 
     4 The key concept of Isar proof contexts: elevates primitive local
     5 reasoning Gamma |- phi to a structured concept, with generic context
     6 elements.  See also structure Variable and Assumption.
     7 *)
     8 
     9 signature PROOF_CONTEXT =
    10 sig
    11   val theory_of: Proof.context -> theory
    12   val init: theory -> Proof.context
    13   type mode
    14   val mode_default: mode
    15   val mode_stmt: mode
    16   val mode_pattern: mode
    17   val mode_schematic: mode
    18   val mode_abbrev: mode
    19   val set_mode: mode -> Proof.context -> Proof.context
    20   val get_mode: Proof.context -> mode
    21   val restore_mode: Proof.context -> Proof.context -> Proof.context
    22   val abbrev_mode: Proof.context -> bool
    23   val set_stmt: bool -> Proof.context -> Proof.context
    24   val naming_of: Proof.context -> Name_Space.naming
    25   val full_name: Proof.context -> binding -> string
    26   val consts_of: Proof.context -> Consts.T
    27   val const_syntax_name: Proof.context -> string -> string
    28   val the_const_constraint: Proof.context -> string -> typ
    29   val mk_const: Proof.context -> string * typ list -> term
    30   val set_syntax_mode: Syntax.mode -> Proof.context -> Proof.context
    31   val restore_syntax_mode: Proof.context -> Proof.context -> Proof.context
    32   val facts_of: Proof.context -> Facts.T
    33   val transfer_syntax: theory -> Proof.context -> Proof.context
    34   val transfer: theory -> Proof.context -> Proof.context
    35   val theory: (theory -> theory) -> Proof.context -> Proof.context
    36   val theory_result: (theory -> 'a * theory) -> Proof.context -> 'a * Proof.context
    37   val extern_fact: Proof.context -> string -> xstring
    38   val pretty_term_abbrev: Proof.context -> term -> Pretty.T
    39   val pretty_fact_aux: Proof.context -> bool -> string * thm list -> Pretty.T
    40   val pretty_fact: Proof.context -> string * thm list -> Pretty.T
    41   val read_typ: Proof.context -> string -> typ
    42   val read_typ_syntax: Proof.context -> string -> typ
    43   val read_typ_abbrev: Proof.context -> string -> typ
    44   val cert_typ: Proof.context -> typ -> typ
    45   val cert_typ_syntax: Proof.context -> typ -> typ
    46   val cert_typ_abbrev: Proof.context -> typ -> typ
    47   val get_skolem: Proof.context -> string -> string
    48   val revert_skolem: Proof.context -> string -> string
    49   val infer_type: Proof.context -> string -> typ
    50   val inferred_param: string -> Proof.context -> typ * Proof.context
    51   val inferred_fixes: Proof.context -> (string * typ) list * Proof.context
    52   val read_tyname: Proof.context -> string -> typ
    53   val read_const_proper: Proof.context -> string -> term
    54   val read_const: Proof.context -> string -> term
    55   val allow_dummies: Proof.context -> Proof.context
    56   val decode_term: Proof.context -> term -> term
    57   val standard_infer_types: Proof.context -> term list -> term list
    58   val read_term_pattern: Proof.context -> string -> term
    59   val read_term_schematic: Proof.context -> string -> term
    60   val read_term_abbrev: Proof.context -> string -> term
    61   val expand_abbrevs: Proof.context -> term -> term
    62   val cert_term: Proof.context -> term -> term
    63   val cert_prop: Proof.context -> term -> term
    64   val goal_export: Proof.context -> Proof.context -> thm list -> thm list
    65   val export: Proof.context -> Proof.context -> thm list -> thm list
    66   val export_morphism: Proof.context -> Proof.context -> morphism
    67   val norm_export_morphism: Proof.context -> Proof.context -> morphism
    68   val bind_terms: (indexname * term option) list -> Proof.context -> Proof.context
    69   val auto_bind_goal: term list -> Proof.context -> Proof.context
    70   val auto_bind_facts: term list -> Proof.context -> Proof.context
    71   val match_bind: bool -> (string list * string) list -> Proof.context -> term list * Proof.context
    72   val match_bind_i: bool -> (term list * term) list -> Proof.context -> term list * Proof.context
    73   val read_propp: Proof.context * (string * string list) list list
    74     -> Proof.context * (term * term list) list list
    75   val cert_propp: Proof.context * (term * term list) list list
    76     -> Proof.context * (term * term list) list list
    77   val read_propp_schematic: Proof.context * (string * string list) list list
    78     -> Proof.context * (term * term list) list list
    79   val cert_propp_schematic: Proof.context * (term * term list) list list
    80     -> Proof.context * (term * term list) list list
    81   val bind_propp: Proof.context * (string * string list) list list
    82     -> Proof.context * (term list list * (Proof.context -> Proof.context))
    83   val bind_propp_i: Proof.context * (term * term list) list list
    84     -> Proof.context * (term list list * (Proof.context -> Proof.context))
    85   val bind_propp_schematic: Proof.context * (string * string list) list list
    86     -> Proof.context * (term list list * (Proof.context -> Proof.context))
    87   val bind_propp_schematic_i: Proof.context * (term * term list) list list
    88     -> Proof.context * (term list list * (Proof.context -> Proof.context))
    89   val fact_tac: thm list -> int -> tactic
    90   val some_fact_tac: Proof.context -> int -> tactic
    91   val get_fact: Proof.context -> Facts.ref -> thm list
    92   val get_fact_single: Proof.context -> Facts.ref -> thm
    93   val get_thms: Proof.context -> xstring -> thm list
    94   val get_thm: Proof.context -> xstring -> thm
    95   val add_path: string -> Proof.context -> Proof.context
    96   val mandatory_path: string -> Proof.context -> Proof.context
    97   val restore_naming: Proof.context -> Proof.context -> Proof.context
    98   val reset_naming: Proof.context -> Proof.context
    99   val note_thmss: string -> (Thm.binding * (thm list * attribute list) list) list ->
   100     Proof.context -> (string * thm list) list * Proof.context
   101   val put_thms: bool -> string * thm list option -> Proof.context -> Proof.context
   102   val read_vars: (binding * string option * mixfix) list -> Proof.context ->
   103     (binding * typ option * mixfix) list * Proof.context
   104   val cert_vars: (binding * typ option * mixfix) list -> Proof.context ->
   105     (binding * typ option * mixfix) list * Proof.context
   106   val add_fixes: (binding * typ option * mixfix) list -> Proof.context ->
   107     string list * Proof.context
   108   val auto_fixes: Proof.context * (term list list * 'a) -> Proof.context * (term list list * 'a)
   109   val bind_fixes: string list -> Proof.context -> (term -> term) * Proof.context
   110   val add_assms: Assumption.export ->
   111     (Thm.binding * (string * string list) list) list ->
   112     Proof.context -> (string * thm list) list * Proof.context
   113   val add_assms_i: Assumption.export ->
   114     (Thm.binding * (term * term list) list) list ->
   115     Proof.context -> (string * thm list) list * Proof.context
   116   val add_cases: bool -> (string * RuleCases.T option) list -> Proof.context -> Proof.context
   117   val apply_case: RuleCases.T -> Proof.context -> (string * term list) list * Proof.context
   118   val get_case: Proof.context -> string -> string option list -> RuleCases.T
   119   val notation: bool -> Syntax.mode -> (term * mixfix) list -> Proof.context -> Proof.context
   120   val target_notation: bool -> Syntax.mode -> (term * mixfix) list -> morphism ->
   121     Context.generic -> Context.generic
   122   val add_const_constraint: string * typ option -> Proof.context -> Proof.context
   123   val add_abbrev: string -> Properties.T ->
   124     binding * term -> Proof.context -> (term * term) * Proof.context
   125   val revert_abbrev: string -> string -> Proof.context -> Proof.context
   126   val verbose: bool Unsynchronized.ref
   127   val setmp_verbose: ('a -> 'b) -> 'a -> 'b
   128   val print_syntax: Proof.context -> unit
   129   val print_abbrevs: Proof.context -> unit
   130   val print_binds: Proof.context -> unit
   131   val print_lthms: Proof.context -> unit
   132   val print_cases: Proof.context -> unit
   133   val debug: bool Unsynchronized.ref
   134   val prems_limit: int Unsynchronized.ref
   135   val pretty_ctxt: Proof.context -> Pretty.T list
   136   val pretty_context: Proof.context -> Pretty.T list
   137   val query_type: Proof.context -> string -> Properties.T
   138   val query_const: Proof.context -> string -> Properties.T
   139   val query_class: Proof.context -> string -> Properties.T
   140 end;
   141 
   142 structure ProofContext: PROOF_CONTEXT =
   143 struct
   144 
   145 open ProofContext;
   146 
   147 
   148 (** inner syntax mode **)
   149 
   150 datatype mode =
   151   Mode of
   152    {stmt: bool,                (*inner statement mode*)
   153     pattern: bool,             (*pattern binding schematic variables*)
   154     schematic: bool,           (*term referencing loose schematic variables*)
   155     abbrev: bool};             (*abbrev mode -- no normalization*)
   156 
   157 fun make_mode (stmt, pattern, schematic, abbrev) =
   158   Mode {stmt = stmt, pattern = pattern, schematic = schematic, abbrev = abbrev};
   159 
   160 val mode_default   = make_mode (false, false, false, false);
   161 val mode_stmt      = make_mode (true, false, false, false);
   162 val mode_pattern   = make_mode (false, true, false, false);
   163 val mode_schematic = make_mode (false, false, true, false);
   164 val mode_abbrev    = make_mode (false, false, false, true);
   165 
   166 
   167 
   168 (** Isar proof context information **)
   169 
   170 datatype ctxt =
   171   Ctxt of
   172    {mode: mode,                                       (*inner syntax mode*)
   173     naming: Name_Space.naming,                        (*local naming conventions*)
   174     syntax: LocalSyntax.T,                            (*local syntax*)
   175     consts: Consts.T * Consts.T,                      (*local/global consts*)
   176     facts: Facts.T,                                   (*local facts*)
   177     cases: (string * (RuleCases.T * bool)) list};     (*named case contexts*)
   178 
   179 fun make_ctxt (mode, naming, syntax, consts, facts, cases) =
   180   Ctxt {mode = mode, naming = naming, syntax = syntax,
   181     consts = consts, facts = facts, cases = cases};
   182 
   183 val local_naming = Name_Space.default_naming |> Name_Space.add_path "local";
   184 
   185 structure ContextData = ProofDataFun
   186 (
   187   type T = ctxt;
   188   fun init thy =
   189     make_ctxt (mode_default, local_naming, LocalSyntax.init thy,
   190       (Sign.consts_of thy, Sign.consts_of thy), Facts.empty, []);
   191 );
   192 
   193 fun rep_context ctxt = ContextData.get ctxt |> (fn Ctxt args => args);
   194 
   195 fun map_context f =
   196   ContextData.map (fn Ctxt {mode, naming, syntax, consts, facts, cases} =>
   197     make_ctxt (f (mode, naming, syntax, consts, facts, cases)));
   198 
   199 fun set_mode mode = map_context (fn (_, naming, syntax, consts, facts, cases) =>
   200   (mode, naming, syntax, consts, facts, cases));
   201 
   202 fun map_mode f =
   203   map_context (fn (Mode {stmt, pattern, schematic, abbrev}, naming, syntax, consts, facts, cases) =>
   204     (make_mode (f (stmt, pattern, schematic, abbrev)), naming, syntax, consts, facts, cases));
   205 
   206 fun map_naming f =
   207   map_context (fn (mode, naming, syntax, consts, facts, cases) =>
   208     (mode, f naming, syntax, consts, facts, cases));
   209 
   210 fun map_syntax f =
   211   map_context (fn (mode, naming, syntax, consts, facts, cases) =>
   212     (mode, naming, f syntax, consts, facts, cases));
   213 
   214 fun map_consts f =
   215   map_context (fn (mode, naming, syntax, consts, facts, cases) =>
   216     (mode, naming, syntax, f consts, facts, cases));
   217 
   218 fun map_facts f =
   219   map_context (fn (mode, naming, syntax, consts, facts, cases) =>
   220     (mode, naming, syntax, consts, f facts, cases));
   221 
   222 fun map_cases f =
   223   map_context (fn (mode, naming, syntax, consts, facts, cases) =>
   224     (mode, naming, syntax, consts, facts, f cases));
   225 
   226 val get_mode = #mode o rep_context;
   227 val restore_mode = set_mode o get_mode;
   228 val abbrev_mode = get_mode #> (fn Mode {abbrev, ...} => abbrev);
   229 
   230 fun set_stmt stmt =
   231   map_mode (fn (_, pattern, schematic, abbrev) => (stmt, pattern, schematic, abbrev));
   232 
   233 val naming_of = #naming o rep_context;
   234 val full_name = Name_Space.full_name o naming_of;
   235 
   236 val syntax_of = #syntax o rep_context;
   237 val syn_of = LocalSyntax.syn_of o syntax_of;
   238 val set_syntax_mode = map_syntax o LocalSyntax.set_mode;
   239 val restore_syntax_mode = map_syntax o LocalSyntax.restore_mode o syntax_of;
   240 
   241 val consts_of = #1 o #consts o rep_context;
   242 val const_syntax_name = Consts.syntax_name o consts_of;
   243 val the_const_constraint = Consts.the_constraint o consts_of;
   244 
   245 fun mk_const ctxt (c, Ts) = Const (c, Consts.instance (consts_of ctxt) (c, Ts));
   246 
   247 val facts_of = #facts o rep_context;
   248 val cases_of = #cases o rep_context;
   249 
   250 
   251 (* theory transfer *)
   252 
   253 fun transfer_syntax thy =
   254   map_syntax (LocalSyntax.rebuild thy) #>
   255   map_consts (fn consts as (local_consts, global_consts) =>
   256     let val thy_consts = Sign.consts_of thy in
   257       if Consts.eq_consts (thy_consts, global_consts) then consts
   258       else (Consts.merge (local_consts, thy_consts), thy_consts)
   259     end);
   260 
   261 fun transfer thy = Context.raw_transfer thy #> transfer_syntax thy;
   262 
   263 fun theory f ctxt = transfer (f (theory_of ctxt)) ctxt;
   264 
   265 fun theory_result f ctxt =
   266   let val (res, thy') = f (theory_of ctxt)
   267   in (res, ctxt |> transfer thy') end;
   268 
   269 
   270 
   271 (** pretty printing **)
   272 
   273 (* extern *)
   274 
   275 fun extern_fact ctxt name =
   276   let
   277     val local_facts = facts_of ctxt;
   278     val global_facts = PureThy.facts_of (theory_of ctxt);
   279   in
   280     if is_some (Facts.lookup (Context.Proof ctxt) local_facts name)
   281     then Facts.extern local_facts name
   282     else Facts.extern global_facts name
   283   end;
   284 
   285 
   286 (* pretty *)
   287 
   288 fun pretty_term_abbrev ctxt = Syntax.pretty_term (set_mode mode_abbrev ctxt);
   289 
   290 fun pretty_fact_name ctxt a = Pretty.block
   291   [Pretty.markup (Markup.fact a) [Pretty.str (extern_fact ctxt a)], Pretty.str ":"];
   292 
   293 fun pretty_fact_aux ctxt flag ("", ths) =
   294       Display.pretty_thms_aux ctxt flag ths
   295   | pretty_fact_aux ctxt flag (a, [th]) = Pretty.block
   296       [pretty_fact_name ctxt a, Pretty.brk 1, Display.pretty_thm_aux ctxt flag th]
   297   | pretty_fact_aux ctxt flag (a, ths) = Pretty.block
   298       (Pretty.fbreaks (pretty_fact_name ctxt a :: map (Display.pretty_thm_aux ctxt flag) ths));
   299 
   300 fun pretty_fact ctxt = pretty_fact_aux ctxt true;
   301 
   302 
   303 
   304 (** prepare types **)
   305 
   306 (* read_typ *)
   307 
   308 fun read_typ_mode mode ctxt s =
   309   Syntax.read_typ (Type.set_mode mode ctxt) s;
   310 
   311 val read_typ        = read_typ_mode Type.mode_default;
   312 val read_typ_syntax = read_typ_mode Type.mode_syntax;
   313 val read_typ_abbrev = read_typ_mode Type.mode_abbrev;
   314 
   315 
   316 (* cert_typ *)
   317 
   318 fun cert_typ_mode mode ctxt T =
   319   Sign.certify_typ_mode mode (theory_of ctxt) T
   320     handle TYPE (msg, _, _) => error msg;
   321 
   322 val cert_typ        = cert_typ_mode Type.mode_default;
   323 val cert_typ_syntax = cert_typ_mode Type.mode_syntax;
   324 val cert_typ_abbrev = cert_typ_mode Type.mode_abbrev;
   325 
   326 
   327 
   328 (** prepare variables **)
   329 
   330 (* internalize Skolem constants *)
   331 
   332 val lookup_skolem = AList.lookup (op =) o Variable.fixes_of;
   333 fun get_skolem ctxt x = the_default x (lookup_skolem ctxt x);
   334 
   335 fun no_skolem internal x =
   336   if can Name.dest_skolem x then
   337     error ("Illegal reference to internal Skolem constant: " ^ quote x)
   338   else if not internal andalso can Name.dest_internal x then
   339     error ("Illegal reference to internal variable: " ^ quote x)
   340   else x;
   341 
   342 
   343 (* revert Skolem constants -- if possible *)
   344 
   345 fun revert_skolem ctxt x =
   346   (case find_first (fn (_, y) => y = x) (Variable.fixes_of ctxt) of
   347     SOME (x', _) => if lookup_skolem ctxt x' = SOME x then x' else x
   348   | NONE => x);
   349 
   350 
   351 (* default token translations *)
   352 
   353 local
   354 
   355 fun free_or_skolem ctxt x =
   356   (if can Name.dest_skolem x then Pretty.mark Markup.skolem (Pretty.str (revert_skolem ctxt x))
   357    else Pretty.mark Markup.free (Pretty.str x))
   358   |> Pretty.mark
   359     (if Variable.is_fixed ctxt x orelse Syntax.is_pretty_global ctxt then Markup.fixed x
   360      else Markup.hilite);
   361 
   362 fun var_or_skolem _ s =
   363   (case Lexicon.read_variable s of
   364     SOME (x, i) =>
   365       (case try Name.dest_skolem x of
   366         NONE => Pretty.mark Markup.var (Pretty.str s)
   367       | SOME x' => Pretty.mark Markup.skolem
   368           (Pretty.str (setmp_CRITICAL show_question_marks true Term.string_of_vname (x', i))))
   369   | NONE => Pretty.mark Markup.var (Pretty.str s));
   370 
   371 fun class_markup _ c =    (* FIXME authentic name *)
   372   Pretty.mark (Markup.tclassN, []) (Pretty.str c);
   373 
   374 fun plain_markup m _ s = Pretty.mark m (Pretty.str s);
   375 
   376 val token_trans =
   377  Syntax.tokentrans_mode ""
   378   [("class", class_markup),
   379    ("tfree", plain_markup Markup.tfree),
   380    ("tvar", plain_markup Markup.tvar),
   381    ("free", free_or_skolem),
   382    ("bound", plain_markup Markup.bound),
   383    ("var", var_or_skolem),
   384    ("numeral", plain_markup Markup.numeral),
   385    ("inner_string", plain_markup Markup.inner_string)];
   386 
   387 in val _ = Context.>> (Context.map_theory (Sign.add_tokentrfuns token_trans)) end;
   388 
   389 
   390 
   391 (** prepare terms and propositions **)
   392 
   393 (* inferred types of parameters *)
   394 
   395 fun infer_type ctxt x =
   396   Term.fastype_of (singleton (Syntax.check_terms (set_mode mode_schematic ctxt))
   397     (Free (x, dummyT)));
   398 
   399 fun inferred_param x ctxt =
   400   let val T = infer_type ctxt x
   401   in (T, ctxt |> Variable.declare_term (Free (x, T))) end;
   402 
   403 fun inferred_fixes ctxt =
   404   let
   405     val xs = rev (map #2 (Variable.fixes_of ctxt));
   406     val (Ts, ctxt') = fold_map inferred_param xs ctxt;
   407   in (xs ~~ Ts, ctxt') end;
   408 
   409 
   410 (* type and constant names *)
   411 
   412 local
   413 
   414 val token_content = Syntax.read_token #>> Symbol_Pos.content;
   415 
   416 fun prep_const_proper ctxt (c, pos) =
   417   let val t as (Const (d, _)) =
   418     (case Variable.lookup_const ctxt c of
   419       SOME d => Const (d, Consts.type_scheme (consts_of ctxt) d handle TYPE (msg, _, _) => error msg)
   420     | NONE => Consts.read_const (consts_of ctxt) c)
   421   in Position.report (Markup.const d) pos; t end;
   422 
   423 in
   424 
   425 fun read_tyname ctxt str =
   426   let
   427     val thy = theory_of ctxt;
   428     val (c, pos) = token_content str;
   429   in
   430     if Syntax.is_tid c then
   431      (Position.report Markup.tfree pos;
   432       TFree (c, the_default (Sign.defaultS thy) (Variable.def_sort ctxt (c, ~1))))
   433     else
   434       let
   435         val d = Sign.intern_type thy c;
   436         val _ = Position.report (Markup.tycon d) pos;
   437       in Type (d, replicate (Sign.arity_number thy d) dummyT) end
   438   end;
   439 
   440 fun read_const_proper ctxt = prep_const_proper ctxt o token_content;
   441 
   442 fun read_const ctxt str =
   443   let val (c, pos) = token_content str in
   444     (case (lookup_skolem ctxt c, Variable.is_const ctxt c) of
   445       (SOME x, false) =>
   446         (Position.report (Markup.name x
   447             (if can Name.dest_skolem x then Markup.skolem else Markup.free)) pos;
   448           Free (x, infer_type ctxt x))
   449     | _ => prep_const_proper ctxt (c, pos))
   450   end;
   451 
   452 end;
   453 
   454 
   455 (* read_term *)
   456 
   457 fun read_term_mode mode ctxt = Syntax.read_term (set_mode mode ctxt);
   458 
   459 val read_term_pattern   = read_term_mode mode_pattern;
   460 val read_term_schematic = read_term_mode mode_schematic;
   461 val read_term_abbrev    = read_term_mode mode_abbrev;
   462 
   463 
   464 (* local abbreviations *)
   465 
   466 val tsig_of = Sign.tsig_of o ProofContext.theory_of;
   467 
   468 local
   469 
   470 fun certify_consts ctxt = Consts.certify (Syntax.pp ctxt) (tsig_of ctxt)
   471   (not (abbrev_mode ctxt)) (consts_of ctxt);
   472 
   473 fun reject_schematic (Var (xi, _)) =
   474       error ("Unbound schematic variable: " ^ Term.string_of_vname xi)
   475   | reject_schematic (Abs (_, _, t)) = reject_schematic t
   476   | reject_schematic (t $ u) = (reject_schematic t; reject_schematic u)
   477   | reject_schematic _ = ();
   478 
   479 fun expand_binds ctxt =
   480   let val Mode {pattern, schematic, ...} = get_mode ctxt in
   481     if pattern then I
   482     else Variable.expand_binds ctxt #> (if schematic then I else tap reject_schematic)
   483   end;
   484 
   485 in
   486 
   487 fun expand_abbrevs ctxt = certify_consts ctxt #> expand_binds ctxt;
   488 
   489 end;
   490 
   491 
   492 fun contract_abbrevs ctxt t =
   493   let
   494     val thy = theory_of ctxt;
   495     val consts = consts_of ctxt;
   496     val Mode {abbrev, ...} = get_mode ctxt;
   497     val retrieve = Consts.retrieve_abbrevs consts (print_mode_value () @ [""]);
   498     fun match_abbrev u = Option.map #1 (get_first (Pattern.match_rew thy u) (retrieve u));
   499   in
   500     if abbrev orelse print_mode_active "no_abbrevs" orelse not (can Term.type_of t) then t
   501     else Pattern.rewrite_term thy [] [match_abbrev] t
   502   end;
   503 
   504 
   505 (* patterns *)
   506 
   507 fun prepare_patternT ctxt T =
   508   let
   509     val Mode {pattern, schematic, ...} = get_mode ctxt;
   510     val _ =
   511       pattern orelse schematic orelse
   512         T |> Term.exists_subtype
   513           (fn TVar (xi, _) =>
   514             not (TypeInfer.is_param xi) andalso
   515               error ("Illegal schematic type variable: " ^ Term.string_of_vname xi)
   516           | _ => false)
   517   in T end;
   518 
   519 
   520 local
   521 
   522 structure Allow_Dummies = ProofDataFun(type T = bool fun init _ = false);
   523 
   524 fun check_dummies ctxt t =
   525   if Allow_Dummies.get ctxt then t
   526   else Term.no_dummy_patterns t handle TERM _ => error "Illegal dummy pattern(s) in term";
   527 
   528 fun prepare_dummies ts = #1 (fold_map Term.replace_dummy_patterns ts 1);
   529 
   530 in
   531 
   532 val allow_dummies = Allow_Dummies.put true;
   533 
   534 fun prepare_patterns ctxt =
   535   let val Mode {pattern, ...} = get_mode ctxt in
   536     TypeInfer.fixate_params (Variable.names_of ctxt) #>
   537     pattern ? Variable.polymorphic ctxt #>
   538     (map o Term.map_types) (prepare_patternT ctxt) #>
   539     (if pattern then prepare_dummies else map (check_dummies ctxt))
   540   end;
   541 
   542 end;
   543 
   544 
   545 (* decoding raw terms (syntax trees) *)
   546 
   547 (* types *)
   548 
   549 fun get_sort thy def_sort raw_env =
   550   let
   551     val tsig = Sign.tsig_of thy;
   552 
   553     fun eq ((xi, S), (xi', S')) =
   554       Term.eq_ix (xi, xi') andalso Type.eq_sort tsig (S, S');
   555     val env = distinct eq raw_env;
   556     val _ = (case duplicates (eq_fst (op =)) env of [] => ()
   557       | dups => error ("Inconsistent sort constraints for type variable(s) "
   558           ^ commas_quote (map (Term.string_of_vname' o fst) dups)));
   559 
   560     fun get xi =
   561       (case (AList.lookup (op =) env xi, def_sort xi) of
   562         (NONE, NONE) => Type.defaultS tsig
   563       | (NONE, SOME S) => S
   564       | (SOME S, NONE) => S
   565       | (SOME S, SOME S') =>
   566           if Type.eq_sort tsig (S, S') then S'
   567           else error ("Sort constraint " ^ Syntax.string_of_sort_global thy S ^
   568             " inconsistent with default " ^ Syntax.string_of_sort_global thy S' ^
   569             " for type variable " ^ quote (Term.string_of_vname' xi)));
   570   in get end;
   571 
   572 local
   573 
   574 fun intern_skolem ctxt def_type x =
   575   let
   576     val _ = no_skolem false x;
   577     val sko = lookup_skolem ctxt x;
   578     val is_const = can (read_const_proper ctxt) x orelse Long_Name.is_qualified x;
   579     val is_declared = is_some (def_type (x, ~1));
   580   in
   581     if Variable.is_const ctxt x then NONE
   582     else if is_some sko then sko
   583     else if not is_const orelse is_declared then SOME x
   584     else NONE
   585   end;
   586 
   587 in
   588 
   589 fun term_context ctxt =
   590   let val thy = theory_of ctxt in
   591    {get_sort = get_sort thy (Variable.def_sort ctxt),
   592     map_const = fn a => ((true, #1 (Term.dest_Const (read_const_proper ctxt a)))
   593       handle ERROR _ => (false, Consts.intern (consts_of ctxt) a)),
   594     map_free = intern_skolem ctxt (Variable.def_type ctxt false),
   595     map_type = Sign.intern_tycons thy,
   596     map_sort = Sign.intern_sort thy}
   597   end;
   598 
   599 fun decode_term ctxt =
   600   let val {get_sort, map_const, map_free, map_type, map_sort} = term_context ctxt
   601   in Syntax.decode_term get_sort map_const map_free map_type map_sort end;
   602 
   603 end;
   604 
   605 
   606 (* certify terms *)
   607 
   608 local
   609 
   610 fun gen_cert prop ctxt t =
   611   t
   612   |> expand_abbrevs ctxt
   613   |> (fn t' => #1 (Sign.certify' prop (Syntax.pp ctxt) false (consts_of ctxt) (theory_of ctxt) t')
   614     handle TYPE (msg, _, _) => error msg
   615       | TERM (msg, _) => error msg);
   616 
   617 in
   618 
   619 val cert_term = gen_cert false;
   620 val cert_prop = gen_cert true;
   621 
   622 end;
   623 
   624 
   625 (* type checking/inference *)
   626 
   627 fun standard_infer_types ctxt ts =
   628   let val Mode {pattern, ...} = get_mode ctxt in
   629     TypeInfer.infer_types (Syntax.pp ctxt) (tsig_of ctxt) (Syntax.check_typs ctxt)
   630       (try (Consts.the_constraint (consts_of ctxt))) (Variable.def_type ctxt pattern)
   631       (Variable.names_of ctxt) (Variable.maxidx_of ctxt) ts
   632     handle TYPE (msg, _, _) => error msg
   633   end;
   634 
   635 local
   636 
   637 fun standard_typ_check ctxt =
   638   map (cert_typ_mode (Type.get_mode ctxt) ctxt) #>
   639   map (prepare_patternT ctxt);
   640 
   641 fun standard_term_check ctxt =
   642   standard_infer_types ctxt #>
   643   map (expand_abbrevs ctxt);
   644 
   645 fun standard_term_uncheck ctxt =
   646   map (contract_abbrevs ctxt);
   647 
   648 fun add eq what f = Context.>> (what (fn xs => fn ctxt =>
   649   let val xs' = f ctxt xs in if eq_list eq (xs, xs') then NONE else SOME (xs', ctxt) end));
   650 
   651 in
   652 
   653 val _ = add (op =) (Syntax.add_typ_check 0 "standard") standard_typ_check;
   654 val _ = add (op aconv) (Syntax.add_term_check 0 "standard") standard_term_check;
   655 val _ = add (op aconv) (Syntax.add_term_check 100 "fixate") prepare_patterns;
   656 
   657 val _ = add (op aconv) (Syntax.add_term_uncheck 0 "standard") standard_term_uncheck;
   658 
   659 end;
   660 
   661 
   662 
   663 (** inner syntax operations **)
   664 
   665 local
   666 
   667 fun parse_sort ctxt text =
   668   let
   669     val (syms, pos) = Syntax.parse_token Markup.sort text;
   670     val S = Syntax.standard_parse_sort ctxt (syn_of ctxt)
   671         (Sign.intern_sort (theory_of ctxt)) (syms, pos)
   672       handle ERROR msg => cat_error msg  ("Failed to parse sort" ^ Position.str_of pos)
   673   in S end;
   674 
   675 fun parse_typ ctxt text =
   676   let
   677     val thy = ProofContext.theory_of ctxt;
   678     val get_sort = get_sort thy (Variable.def_sort ctxt);
   679 
   680     val (syms, pos) = Syntax.parse_token Markup.typ text;
   681     val T = Sign.intern_tycons thy
   682         (Syntax.standard_parse_typ ctxt (syn_of ctxt) get_sort (Sign.intern_sort thy) (syms, pos))
   683       handle ERROR msg => cat_error msg  ("Failed to parse type" ^ Position.str_of pos);
   684   in T end;
   685 
   686 fun parse_term T ctxt text =
   687   let
   688     val thy = theory_of ctxt;
   689     val {get_sort, map_const, map_free, map_type, map_sort} = term_context ctxt;
   690 
   691     val (T', _) = TypeInfer.paramify_dummies T 0;
   692     val (markup, kind) = if T' = propT then (Markup.prop, "proposition") else (Markup.term, "term");
   693     val (syms, pos) = Syntax.parse_token markup text;
   694 
   695     fun check t = (Syntax.check_term ctxt (TypeInfer.constrain T' t); NONE)
   696       handle ERROR msg => SOME msg;
   697     val t = Syntax.standard_parse_term (Syntax.pp ctxt) check get_sort map_const map_free
   698         map_type map_sort ctxt (Sign.is_logtype thy) (syn_of ctxt) T' (syms, pos)
   699       handle ERROR msg => cat_error msg  ("Failed to parse " ^ kind ^ Position.str_of pos);
   700   in t end;
   701 
   702 
   703 fun unparse_sort ctxt S =
   704   Syntax.standard_unparse_sort ctxt (syn_of ctxt) (Sign.extern_sort (theory_of ctxt) S);
   705 
   706 fun unparse_typ ctxt T =
   707   Syntax.standard_unparse_typ ctxt (syn_of ctxt) (Sign.extern_typ (theory_of ctxt) T);
   708 
   709 fun unparse_term ctxt t =
   710   let
   711     val thy = theory_of ctxt;
   712     val syntax = syntax_of ctxt;
   713     val consts = consts_of ctxt;
   714   in
   715     t
   716     |> Sign.extern_term (Consts.extern_early consts) thy
   717     |> LocalSyntax.extern_term syntax
   718     |> Syntax.standard_unparse_term (Consts.extern consts) ctxt (LocalSyntax.syn_of syntax)
   719         (not (PureThy.old_appl_syntax thy))
   720   end;
   721 
   722 in
   723 
   724 val _ = Syntax.install_operations
   725   {parse_sort = parse_sort,
   726    parse_typ = parse_typ,
   727    parse_term = parse_term dummyT,
   728    parse_prop = parse_term propT,
   729    unparse_sort = unparse_sort,
   730    unparse_typ = unparse_typ,
   731    unparse_term = unparse_term};
   732 
   733 end;
   734 
   735 
   736 
   737 (** export results **)
   738 
   739 fun common_export is_goal inner outer =
   740   map (Assumption.export is_goal inner outer) #>
   741   Variable.export inner outer;
   742 
   743 val goal_export = common_export true;
   744 val export = common_export false;
   745 
   746 fun export_morphism inner outer =
   747   Assumption.export_morphism inner outer $>
   748   Variable.export_morphism inner outer;
   749 
   750 fun norm_export_morphism inner outer =
   751   export_morphism inner outer $>
   752   Morphism.thm_morphism Goal.norm_result;
   753 
   754 
   755 
   756 (** term bindings **)
   757 
   758 (* simult_matches *)
   759 
   760 fun simult_matches ctxt (t, pats) =
   761   (case Seq.pull (Unify.matchers (theory_of ctxt) (map (rpair t) pats)) of
   762     NONE => error "Pattern match failed!"
   763   | SOME (env, _) => Vartab.fold (fn (v, (_, t)) => cons (v, t)) (Envir.term_env env) []);
   764 
   765 
   766 (* bind_terms *)
   767 
   768 val bind_terms = fold (fn (xi, t) => fn ctxt =>
   769   ctxt
   770   |> Variable.bind_term (xi, Option.map (cert_term (set_mode mode_default ctxt)) t));
   771 
   772 
   773 (* auto_bind *)
   774 
   775 fun drop_schematic (b as (xi, SOME t)) = if Term.exists_subterm is_Var t then (xi, NONE) else b
   776   | drop_schematic b = b;
   777 
   778 fun auto_bind f ts ctxt = ctxt |> bind_terms (map drop_schematic (f (theory_of ctxt) ts));
   779 
   780 val auto_bind_goal = auto_bind AutoBind.goal;
   781 val auto_bind_facts = auto_bind AutoBind.facts;
   782 
   783 
   784 (* match_bind(_i) *)
   785 
   786 local
   787 
   788 fun gen_bind prep_terms gen raw_binds ctxt =
   789   let
   790     fun prep_bind (raw_pats, t) ctxt1 =
   791       let
   792         val T = Term.fastype_of t;
   793         val ctxt2 = Variable.declare_term t ctxt1;
   794         val pats = prep_terms (set_mode mode_pattern ctxt2) T raw_pats;
   795         val binds = simult_matches ctxt2 (t, pats);
   796       in (binds, ctxt2) end;
   797 
   798     val ts = prep_terms ctxt dummyT (map snd raw_binds);
   799     val (binds, ctxt') = apfst flat (fold_map prep_bind (map fst raw_binds ~~ ts) ctxt);
   800     val binds' =
   801       if gen then map #1 binds ~~ Variable.exportT_terms ctxt' ctxt (map #2 binds)
   802       else binds;
   803     val binds'' = map (apsnd SOME) binds';
   804     val ctxt'' =
   805       tap (Variable.warn_extra_tfrees ctxt)
   806        (if gen then
   807           ctxt (*sic!*) |> fold Variable.declare_term (map #2 binds') |> bind_terms binds''
   808         else ctxt' |> bind_terms binds'');
   809   in (ts, ctxt'') end;
   810 
   811 in
   812 
   813 fun read_terms ctxt T =
   814   map (Syntax.parse_term ctxt #> TypeInfer.constrain T) #> Syntax.check_terms ctxt;
   815 
   816 val match_bind = gen_bind read_terms;
   817 val match_bind_i = gen_bind (fn ctxt => fn _ => map (cert_term ctxt));
   818 
   819 end;
   820 
   821 
   822 (* propositions with patterns *)
   823 
   824 local
   825 
   826 fun prep_propp mode prep_props (context, args) =
   827   let
   828     fun prep (_, raw_pats) (ctxt, prop :: props) =
   829       let val ctxt' = Variable.declare_term prop ctxt
   830       in ((prop, prep_props (set_mode mode_pattern ctxt') raw_pats), (ctxt', props)) end;
   831 
   832     val (propp, (context', _)) = (fold_map o fold_map) prep args
   833       (context, prep_props (set_mode mode context) (maps (map fst) args));
   834   in (context', propp) end;
   835 
   836 fun gen_bind_propp mode parse_prop (ctxt, raw_args) =
   837   let
   838     val (ctxt', args) = prep_propp mode parse_prop (ctxt, raw_args);
   839     val binds = flat (flat (map (map (simult_matches ctxt')) args));
   840     val propss = map (map #1) args;
   841 
   842     (*generalize result: context evaluated now, binds added later*)
   843     val gen = Variable.exportT_terms ctxt' ctxt;
   844     fun gen_binds c = c |> bind_terms (map #1 binds ~~ map SOME (gen (map #2 binds)));
   845   in (ctxt' |> bind_terms (map (apsnd SOME) binds), (propss, gen_binds)) end;
   846 
   847 in
   848 
   849 val read_propp           = prep_propp mode_default Syntax.read_props;
   850 val cert_propp           = prep_propp mode_default (map o cert_prop);
   851 val read_propp_schematic = prep_propp mode_schematic Syntax.read_props;
   852 val cert_propp_schematic = prep_propp mode_schematic (map o cert_prop);
   853 
   854 val bind_propp             = gen_bind_propp mode_default Syntax.read_props;
   855 val bind_propp_i           = gen_bind_propp mode_default (map o cert_prop);
   856 val bind_propp_schematic   = gen_bind_propp mode_schematic Syntax.read_props;
   857 val bind_propp_schematic_i = gen_bind_propp mode_schematic (map o cert_prop);
   858 
   859 end;
   860 
   861 
   862 
   863 (** theorems **)
   864 
   865 (* fact_tac *)
   866 
   867 fun comp_incr_tac [] _ = no_tac
   868   | comp_incr_tac (th :: ths) i =
   869       (fn st => Goal.compose_hhf_tac (Drule.incr_indexes st th) i st) APPEND comp_incr_tac ths i;
   870 
   871 fun fact_tac facts = Goal.norm_hhf_tac THEN' comp_incr_tac facts;
   872 
   873 fun potential_facts ctxt prop =
   874   Facts.could_unify (facts_of ctxt) (Term.strip_all_body prop);
   875 
   876 fun some_fact_tac ctxt = SUBGOAL (fn (goal, i) => fact_tac (potential_facts ctxt goal) i);
   877 
   878 
   879 (* get_thm(s) *)
   880 
   881 local
   882 
   883 fun retrieve_thms pick ctxt (Facts.Fact s) =
   884       let
   885         val (_, pos) = Syntax.read_token s;
   886         val prop = Syntax.read_prop (set_mode mode_default ctxt) s
   887           |> singleton (Variable.polymorphic ctxt);
   888 
   889         fun prove_fact th =
   890           Goal.prove ctxt [] [] prop (K (ALLGOALS (fact_tac [th])))
   891           |> Thm.default_position_of th;
   892         val res =
   893           (case get_first (try prove_fact) (potential_facts ctxt prop) of
   894             SOME res => res
   895           | NONE => error ("Failed to retrieve literal fact" ^ Position.str_of pos ^ ":\n" ^
   896               Syntax.string_of_term ctxt prop))
   897       in pick "" [res] end
   898   | retrieve_thms pick ctxt xthmref =
   899       let
   900         val thy = theory_of ctxt;
   901         val local_facts = facts_of ctxt;
   902         val thmref = Facts.map_name_of_ref (Facts.intern local_facts) xthmref;
   903         val name = Facts.name_of_ref thmref;
   904         val pos = Facts.pos_of_ref xthmref;
   905         val thms =
   906           if name = "" then [Thm.transfer thy Drule.dummy_thm]
   907           else
   908             (case Facts.lookup (Context.Proof ctxt) local_facts name of
   909               SOME (_, ths) => (Position.report (Markup.local_fact name) pos;
   910                 map (Thm.transfer thy) (Facts.select thmref ths))
   911             | NONE => PureThy.get_fact (Context.Proof ctxt) thy xthmref);
   912       in pick name thms end;
   913 
   914 in
   915 
   916 val get_fact = retrieve_thms (K I);
   917 val get_fact_single = retrieve_thms Facts.the_single;
   918 
   919 fun get_thms ctxt = get_fact ctxt o Facts.named;
   920 fun get_thm ctxt = get_fact_single ctxt o Facts.named;
   921 
   922 end;
   923 
   924 
   925 (* name space operations *)
   926 
   927 val add_path = map_naming o Name_Space.add_path;
   928 val mandatory_path = map_naming o Name_Space.mandatory_path;
   929 val restore_naming = map_naming o K o naming_of;
   930 val reset_naming = map_naming (K local_naming);
   931 
   932 
   933 (* facts *)
   934 
   935 local
   936 
   937 fun update_thms _ (b, NONE) ctxt = ctxt |> map_facts (Facts.del (full_name ctxt b))
   938   | update_thms do_props (b, SOME ths) ctxt = ctxt |> map_facts
   939       (Facts.add_local do_props (naming_of ctxt) (b, ths) #> snd);
   940 
   941 in
   942 
   943 fun note_thmss kind = fold_map (fn ((b, more_attrs), raw_facts) => fn ctxt =>
   944   let
   945     val pos = Binding.pos_of b;
   946     val name = full_name ctxt b;
   947     val _ = ContextPosition.report_visible ctxt (Markup.local_fact_decl name) pos;
   948 
   949     val facts = PureThy.name_thmss false pos name raw_facts;
   950     fun app (th, attrs) x =
   951       swap (Library.foldl_map
   952         (Thm.proof_attributes (surround (Thm.kind kind) (attrs @ more_attrs))) (x, th));
   953     val (res, ctxt') = fold_map app facts ctxt;
   954     val thms = PureThy.name_thms false false pos name (flat res);
   955     val Mode {stmt, ...} = get_mode ctxt;
   956   in ((name, thms), ctxt' |> update_thms stmt (b, SOME thms)) end);
   957 
   958 fun put_thms do_props thms ctxt = ctxt
   959   |> map_naming (K local_naming)
   960   |> ContextPosition.set_visible false
   961   |> update_thms do_props (apfst Binding.name thms)
   962   |> ContextPosition.restore_visible ctxt
   963   |> restore_naming ctxt;
   964 
   965 end;
   966 
   967 
   968 
   969 (** parameters **)
   970 
   971 (* variables *)
   972 
   973 fun declare_var (x, opt_T, mx) ctxt =
   974   let val T = (case opt_T of SOME T => T | NONE => Syntax.mixfixT mx)
   975   in ((x, T, mx), ctxt |> Variable.declare_constraints (Free (x, T))) end;
   976 
   977 local
   978 
   979 fun prep_vars prep_typ internal =
   980   fold_map (fn (raw_b, raw_T, raw_mx) => fn ctxt =>
   981     let
   982       val raw_x = Name.of_binding raw_b;
   983       val (x, mx) = Syntax.const_mixfix raw_x raw_mx;
   984       val _ = Syntax.is_identifier (no_skolem internal x) orelse
   985         error ("Illegal variable name: " ^ quote x);
   986 
   987       fun cond_tvars T =
   988         if internal then T
   989         else Type.no_tvars T handle TYPE (msg, _, _) => error msg;
   990       val opt_T = Option.map (cond_tvars o cert_typ ctxt o prep_typ ctxt) raw_T;
   991       val var = (Binding.map_name (K x) raw_b, opt_T, mx);
   992     in (var, ctxt |> declare_var (x, opt_T, mx) |> #2) end);
   993 
   994 in
   995 
   996 val read_vars = prep_vars Syntax.parse_typ false;
   997 val cert_vars = prep_vars (K I) true;
   998 
   999 end;
  1000 
  1001 
  1002 (* authentic constants *)
  1003 
  1004 local
  1005 
  1006 fun const_ast_tr intern ctxt [Syntax.Variable c] =
  1007       let
  1008         val Const (c', _) = read_const_proper ctxt c;
  1009         val d = if intern then const_syntax_name ctxt c' else c;
  1010       in Syntax.Constant d end
  1011   | const_ast_tr _ _ asts = raise Syntax.AST ("const_ast_tr", asts);
  1012 
  1013 in
  1014 
  1015 val _ = Context.>> (Context.map_theory
  1016  (Sign.add_syntax
  1017    [("_context_const", "id => logic", Delimfix "CONST _"),
  1018     ("_context_const", "id => aprop", Delimfix "CONST _"),
  1019     ("_context_const", "longid => logic", Delimfix "CONST _"),
  1020     ("_context_const", "longid => aprop", Delimfix "CONST _"),
  1021     ("_context_xconst", "id => logic", Delimfix "XCONST _"),
  1022     ("_context_xconst", "id => aprop", Delimfix "XCONST _"),
  1023     ("_context_xconst", "longid => logic", Delimfix "XCONST _"),
  1024     ("_context_xconst", "longid => aprop", Delimfix "XCONST _")] #>
  1025   Sign.add_advanced_trfuns
  1026     ([("_context_const", const_ast_tr true), ("_context_xconst", const_ast_tr false)], [], [], [])));
  1027 
  1028 end;
  1029 
  1030 
  1031 (* notation *)
  1032 
  1033 local
  1034 
  1035 fun const_syntax _ (Free (x, T), mx) = SOME (true, (x, T, mx))
  1036   | const_syntax ctxt (Const (c, _), mx) =
  1037       Option.map (pair false) (try (Consts.syntax (consts_of ctxt)) (c, mx))
  1038   | const_syntax _ _ = NONE;
  1039 
  1040 in
  1041 
  1042 fun notation add mode args ctxt =
  1043   ctxt |> map_syntax
  1044     (LocalSyntax.update_modesyntax (theory_of ctxt) add mode (map_filter (const_syntax ctxt) args));
  1045 
  1046 fun target_notation add mode args phi =
  1047   let val args' = filter (fn (t, _) => Type.similar_types (t, Morphism.term phi t)) args;
  1048   in Context.mapping (Sign.notation add mode args') (notation add mode args') end;
  1049 
  1050 end;
  1051 
  1052 
  1053 (* local constants *)
  1054 
  1055 fun add_const_constraint (c, opt_T) ctxt =
  1056   let
  1057     fun prepT raw_T =
  1058       let val T = cert_typ ctxt raw_T
  1059       in cert_term ctxt (Const (c, T)); T end;
  1060   in ctxt |> (map_consts o apfst) (Consts.constrain (c, Option.map prepT opt_T)) end;
  1061 
  1062 fun add_abbrev mode tags (b, raw_t) ctxt =
  1063   let
  1064     val t0 = cert_term (ctxt |> set_mode mode_abbrev) raw_t
  1065       handle ERROR msg => cat_error msg ("in constant abbreviation " ^ quote (Binding.str_of b));
  1066     val [t] = Variable.exportT_terms (Variable.declare_term t0 ctxt) ctxt [t0];
  1067     val ((lhs, rhs), consts') = consts_of ctxt
  1068       |> Consts.abbreviate (Syntax.pp ctxt) (tsig_of ctxt) (naming_of ctxt) mode tags (b, t);
  1069   in
  1070     ctxt
  1071     |> (map_consts o apfst) (K consts')
  1072     |> Variable.declare_term rhs
  1073     |> pair (lhs, rhs)
  1074   end;
  1075 
  1076 fun revert_abbrev mode c = (map_consts o apfst) (Consts.revert_abbrev mode c);
  1077 
  1078 
  1079 (* fixes *)
  1080 
  1081 local
  1082 
  1083 fun prep_mixfix (x, T, mx) =
  1084   if mx <> NoSyn andalso mx <> Structure andalso
  1085       (can Name.dest_internal x orelse can Name.dest_skolem x) then
  1086     error ("Illegal mixfix syntax for internal/skolem constant " ^ quote x)
  1087   else (true, (x, T, mx));
  1088 
  1089 in
  1090 
  1091 fun add_fixes raw_vars ctxt =
  1092   let
  1093     val (vars, _) = cert_vars raw_vars ctxt;
  1094     val (xs', ctxt') = Variable.add_fixes (map (Name.of_binding o #1) vars) ctxt;
  1095     val ctxt'' =
  1096       ctxt'
  1097       |> fold_map declare_var (map2 (fn x' => fn (_, T, mx) => (x', T, mx)) xs' vars)
  1098       |-> (map_syntax o LocalSyntax.add_syntax (theory_of ctxt) o map prep_mixfix);
  1099     val _ = (vars ~~ xs') |> List.app (fn ((b, _, _), x') =>
  1100       ContextPosition.report_visible ctxt (Markup.fixed_decl x') (Binding.pos_of b));
  1101   in (xs', ctxt'') end;
  1102 
  1103 end;
  1104 
  1105 
  1106 (* fixes vs. frees *)
  1107 
  1108 fun auto_fixes (ctxt, (propss, x)) =
  1109   ((fold o fold) Variable.auto_fixes propss ctxt, (propss, x));
  1110 
  1111 fun bind_fixes xs ctxt =
  1112   let
  1113     val (_, ctxt') = ctxt |> add_fixes (map (fn x => (Binding.name x, NONE, NoSyn)) xs);
  1114     fun bind (t as Free (x, T)) =
  1115           if member (op =) xs x then
  1116             (case lookup_skolem ctxt' x of SOME x' => Free (x', T) | NONE => t)
  1117           else t
  1118       | bind (t $ u) = bind t $ bind u
  1119       | bind (Abs (x, T, t)) = Abs (x, T, bind t)
  1120       | bind a = a;
  1121   in (bind, ctxt') end;
  1122 
  1123 
  1124 
  1125 (** assumptions **)
  1126 
  1127 local
  1128 
  1129 fun gen_assms prepp exp args ctxt =
  1130   let
  1131     val cert = Thm.cterm_of (theory_of ctxt);
  1132     val (propss, ctxt1) = swap (prepp (ctxt, map snd args));
  1133     val _ = Variable.warn_extra_tfrees ctxt ctxt1;
  1134     val (premss, ctxt2) = fold_burrow (Assumption.add_assms exp o map cert) propss ctxt1;
  1135   in
  1136     ctxt2
  1137     |> auto_bind_facts (flat propss)
  1138     |> note_thmss Thm.assumptionK (map fst args ~~ map (map (fn th => ([th], []))) premss)
  1139   end;
  1140 
  1141 in
  1142 
  1143 val add_assms = gen_assms (apsnd #1 o bind_propp);
  1144 val add_assms_i = gen_assms (apsnd #1 o bind_propp_i);
  1145 
  1146 end;
  1147 
  1148 
  1149 
  1150 (** cases **)
  1151 
  1152 local
  1153 
  1154 fun rem_case name = remove (fn (x: string, (y, _)) => x = y) name;
  1155 
  1156 fun add_case _ ("", _) cases = cases
  1157   | add_case _ (name, NONE) cases = rem_case name cases
  1158   | add_case is_proper (name, SOME c) cases = (name, (c, is_proper)) :: rem_case name cases;
  1159 
  1160 fun prep_case name fxs c =
  1161   let
  1162     fun replace (opt_x :: xs) ((y, T) :: ys) = (the_default y opt_x, T) :: replace xs ys
  1163       | replace [] ys = ys
  1164       | replace (_ :: _) [] = error ("Too many parameters for case " ^ quote name);
  1165     val RuleCases.Case {fixes, assumes, binds, cases} = c;
  1166     val fixes' = replace fxs fixes;
  1167     val binds' = map drop_schematic binds;
  1168   in
  1169     if null (fold (Term.add_tvarsT o snd) fixes []) andalso
  1170       null (fold (fold Term.add_vars o snd) assumes []) then
  1171         RuleCases.Case {fixes = fixes', assumes = assumes, binds = binds', cases = cases}
  1172     else error ("Illegal schematic variable(s) in case " ^ quote name)
  1173   end;
  1174 
  1175 fun fix (x, T) ctxt =
  1176   let
  1177     val (bind, ctxt') = bind_fixes [x] ctxt;
  1178     val t = bind (Free (x, T));
  1179   in (t, ctxt' |> Variable.declare_constraints t) end;
  1180 
  1181 in
  1182 
  1183 fun add_cases is_proper = map_cases o fold (add_case is_proper);
  1184 
  1185 fun case_result c ctxt =
  1186   let
  1187     val RuleCases.Case {fixes, ...} = c;
  1188     val (ts, ctxt') = ctxt |> fold_map fix fixes;
  1189     val RuleCases.Case {assumes, binds, cases, ...} = RuleCases.apply ts c;
  1190   in
  1191     ctxt'
  1192     |> bind_terms (map drop_schematic binds)
  1193     |> add_cases true (map (apsnd SOME) cases)
  1194     |> pair (assumes, (binds, cases))
  1195   end;
  1196 
  1197 val apply_case = apfst fst oo case_result;
  1198 
  1199 fun get_case ctxt name xs =
  1200   (case AList.lookup (op =) (cases_of ctxt) name of
  1201     NONE => error ("Unknown case: " ^ quote name)
  1202   | SOME (c, _) => prep_case name xs c);
  1203 
  1204 end;
  1205 
  1206 
  1207 
  1208 (** print context information **)
  1209 
  1210 val debug = Unsynchronized.ref false;
  1211 
  1212 val verbose = Unsynchronized.ref false;
  1213 fun verb f x = if ! verbose then f (x ()) else [];
  1214 
  1215 fun setmp_verbose f x = setmp_CRITICAL verbose true f x;
  1216 
  1217 
  1218 (* local syntax *)
  1219 
  1220 val print_syntax = Syntax.print_syntax o syn_of;
  1221 
  1222 
  1223 (* abbreviations *)
  1224 
  1225 fun pretty_abbrevs show_globals ctxt =
  1226   let
  1227     val ((space, consts), (_, globals)) =
  1228       pairself (#constants o Consts.dest) (#consts (rep_context ctxt));
  1229     fun add_abbr (_, (_, NONE)) = I
  1230       | add_abbr (c, (T, SOME t)) =
  1231           if not show_globals andalso Symtab.defined globals c then I
  1232           else cons (c, Logic.mk_equals (Const (c, T), t));
  1233     val abbrevs = Name_Space.extern_table (space, Symtab.make (Symtab.fold add_abbr consts []));
  1234   in
  1235     if null abbrevs andalso not (! verbose) then []
  1236     else [Pretty.big_list "abbreviations:" (map (pretty_term_abbrev ctxt o #2) abbrevs)]
  1237   end;
  1238 
  1239 val print_abbrevs = Pretty.writeln o Pretty.chunks o pretty_abbrevs true;
  1240 
  1241 
  1242 (* term bindings *)
  1243 
  1244 fun pretty_binds ctxt =
  1245   let
  1246     val binds = Variable.binds_of ctxt;
  1247     fun prt_bind (xi, (T, t)) = pretty_term_abbrev ctxt (Logic.mk_equals (Var (xi, T), t));
  1248   in
  1249     if Vartab.is_empty binds andalso not (! verbose) then []
  1250     else [Pretty.big_list "term bindings:" (map prt_bind (Vartab.dest binds))]
  1251   end;
  1252 
  1253 val print_binds = Pretty.writeln o Pretty.chunks o pretty_binds;
  1254 
  1255 
  1256 (* local theorems *)
  1257 
  1258 fun pretty_lthms ctxt =
  1259   let
  1260     val local_facts = facts_of ctxt;
  1261     val props = Facts.props local_facts;
  1262     val facts =
  1263       (if null props then [] else [("unnamed", props)]) @
  1264       Facts.dest_static [] local_facts;
  1265   in
  1266     if null facts andalso not (! verbose) then []
  1267     else [Pretty.big_list "facts:" (map #1 (sort_wrt (#1 o #2) (map (`(pretty_fact ctxt)) facts)))]
  1268   end;
  1269 
  1270 val print_lthms = Pretty.writeln o Pretty.chunks o pretty_lthms;
  1271 
  1272 
  1273 (* local contexts *)
  1274 
  1275 local
  1276 
  1277 fun pretty_case (name, (fixes, ((asms, (lets, cs)), ctxt))) =
  1278   let
  1279     val prt_term = Syntax.pretty_term ctxt;
  1280 
  1281     fun prt_let (xi, t) = Pretty.block
  1282       [Pretty.quote (prt_term (Var (xi, Term.fastype_of t))), Pretty.str " =", Pretty.brk 1,
  1283         Pretty.quote (prt_term t)];
  1284 
  1285     fun prt_asm (a, ts) = Pretty.block (Pretty.breaks
  1286       ((if a = "" then [] else [Pretty.str (a ^ ":")]) @ map (Pretty.quote o prt_term) ts));
  1287 
  1288     fun prt_sect _ _ _ [] = []
  1289       | prt_sect s sep prt xs = [Pretty.block (Pretty.breaks (Pretty.str s ::
  1290             flat (Library.separate sep (map (Library.single o prt) xs))))];
  1291   in
  1292     Pretty.block (Pretty.fbreaks
  1293       (Pretty.str (name ^ ":") ::
  1294         prt_sect "fix" [] (Pretty.str o fst) fixes @
  1295         prt_sect "let" [Pretty.str "and"] prt_let
  1296           (map_filter (fn (xi, SOME t) => SOME (xi, t) | _ => NONE) lets) @
  1297         (if forall (null o #2) asms then []
  1298           else prt_sect "assume" [Pretty.str "and"] prt_asm asms) @
  1299         prt_sect "subcases:" [] (Pretty.str o fst) cs))
  1300   end;
  1301 
  1302 in
  1303 
  1304 fun pretty_cases ctxt =
  1305   let
  1306     fun add_case (_, (_, false)) = I
  1307       | add_case (name, (c as RuleCases.Case {fixes, ...}, true)) =
  1308           cons (name, (fixes, case_result c ctxt));
  1309     val cases = fold add_case (cases_of ctxt) [];
  1310   in
  1311     if null cases andalso not (! verbose) then []
  1312     else [Pretty.big_list "cases:" (map pretty_case cases)]
  1313   end;
  1314 
  1315 val print_cases = Pretty.writeln o Pretty.chunks o pretty_cases;
  1316 
  1317 end;
  1318 
  1319 
  1320 (* core context *)
  1321 
  1322 val prems_limit = Unsynchronized.ref ~1;
  1323 
  1324 fun pretty_ctxt ctxt =
  1325   if ! prems_limit < 0 andalso not (! debug) then []
  1326   else
  1327     let
  1328       val prt_term = Syntax.pretty_term ctxt;
  1329 
  1330       (*structures*)
  1331       val structs = LocalSyntax.structs_of (syntax_of ctxt);
  1332       val prt_structs = if null structs then []
  1333         else [Pretty.block (Pretty.str "structures:" :: Pretty.brk 1 ::
  1334           Pretty.commas (map Pretty.str structs))];
  1335 
  1336       (*fixes*)
  1337       fun prt_fix (x, x') =
  1338         if x = x' then Pretty.str x
  1339         else Pretty.block [Pretty.str x, Pretty.str " =", Pretty.brk 1, prt_term (Syntax.free x')];
  1340       val fixes =
  1341         rev (filter_out ((can Name.dest_internal orf member (op =) structs) o #1)
  1342           (Variable.fixes_of ctxt));
  1343       val prt_fixes = if null fixes then []
  1344         else [Pretty.block (Pretty.str "fixed variables:" :: Pretty.brk 1 ::
  1345           Pretty.commas (map prt_fix fixes))];
  1346 
  1347       (*prems*)
  1348       val prems = Assumption.all_prems_of ctxt;
  1349       val len = length prems;
  1350       val suppressed = len - ! prems_limit;
  1351       val prt_prems = if null prems then []
  1352         else [Pretty.big_list "prems:" ((if suppressed <= 0 then [] else [Pretty.str "..."]) @
  1353           map (Display.pretty_thm ctxt) (Library.drop (suppressed, prems)))];
  1354     in prt_structs @ prt_fixes @ prt_prems end;
  1355 
  1356 
  1357 (* main context *)
  1358 
  1359 fun pretty_context ctxt =
  1360   let
  1361     val prt_term = Syntax.pretty_term ctxt;
  1362     val prt_typ = Syntax.pretty_typ ctxt;
  1363     val prt_sort = Syntax.pretty_sort ctxt;
  1364 
  1365     (*theory*)
  1366     val pretty_thy = Pretty.block
  1367       [Pretty.str "theory:", Pretty.brk 1, Context.pretty_thy (theory_of ctxt)];
  1368 
  1369     (*defaults*)
  1370     fun prt_atom prt prtT (x, X) = Pretty.block
  1371       [prt x, Pretty.str " ::", Pretty.brk 1, prtT X];
  1372 
  1373     fun prt_var (x, ~1) = prt_term (Syntax.free x)
  1374       | prt_var xi = prt_term (Syntax.var xi);
  1375 
  1376     fun prt_varT (x, ~1) = prt_typ (TFree (x, []))
  1377       | prt_varT xi = prt_typ (TVar (xi, []));
  1378 
  1379     val prt_defT = prt_atom prt_var prt_typ;
  1380     val prt_defS = prt_atom prt_varT prt_sort;
  1381 
  1382     val (types, sorts) = Variable.constraints_of ctxt;
  1383   in
  1384     verb single (K pretty_thy) @
  1385     pretty_ctxt ctxt @
  1386     verb (pretty_abbrevs false) (K ctxt) @
  1387     verb pretty_binds (K ctxt) @
  1388     verb pretty_lthms (K ctxt) @
  1389     verb pretty_cases (K ctxt) @
  1390     verb single (fn () => Pretty.big_list "type constraints:" (map prt_defT (Vartab.dest types))) @
  1391     verb single (fn () => Pretty.big_list "default sorts:" (map prt_defS (Vartab.dest sorts)))
  1392   end;
  1393 
  1394 
  1395 (* query meta data *)
  1396 
  1397 val query_type = Type.the_tags o tsig_of;
  1398 
  1399 fun query_const ctxt name =
  1400   Consts.the_tags (consts_of ctxt) name handle TYPE (msg, _, _) => error msg;
  1401 
  1402 fun query_class ctxt name = query_const ctxt (Logic.const_of_class name);
  1403 
  1404 end;