src/Pure/Isar/proof_context.ML
author wenzelm
Tue, 05 Apr 2011 18:06:45 +0200
changeset 43116 dd8029f71e1c
parent 43107 578a51fae383
child 43117 39261908e12f
permissions -rw-r--r--
separate module for standard implementation of inner syntax operations;
     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_global: 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 local_naming: Name_Space.naming
    25   val map_naming: (Name_Space.naming -> Name_Space.naming) -> Proof.context -> Proof.context
    26   val naming_of: Proof.context -> Name_Space.naming
    27   val restore_naming: Proof.context -> Proof.context -> Proof.context
    28   val full_name: Proof.context -> binding -> string
    29   val syntax_of: Proof.context -> Local_Syntax.T
    30   val syn_of: Proof.context -> Syntax.syntax
    31   val tsig_of: Proof.context -> Type.tsig
    32   val set_defsort: sort -> Proof.context -> Proof.context
    33   val default_sort: Proof.context -> indexname -> sort
    34   val consts_of: Proof.context -> Consts.T
    35   val the_const_constraint: Proof.context -> string -> typ
    36   val set_syntax_mode: Syntax.mode -> Proof.context -> Proof.context
    37   val restore_syntax_mode: Proof.context -> Proof.context -> Proof.context
    38   val facts_of: Proof.context -> Facts.T
    39   val cases_of: Proof.context -> (string * (Rule_Cases.T * bool)) list
    40   val transfer_syntax: theory -> Proof.context -> Proof.context
    41   val transfer: theory -> Proof.context -> Proof.context
    42   val background_theory: (theory -> theory) -> Proof.context -> Proof.context
    43   val background_theory_result: (theory -> 'a * theory) -> Proof.context -> 'a * Proof.context
    44   val extern_fact: Proof.context -> string -> xstring
    45   val pretty_term_abbrev: Proof.context -> term -> Pretty.T
    46   val pretty_fact_aux: Proof.context -> bool -> string * thm list -> Pretty.T
    47   val pretty_fact: Proof.context -> string * thm list -> Pretty.T
    48   val read_class: Proof.context -> xstring -> class
    49   val read_arity: Proof.context -> xstring * string list * string -> arity
    50   val cert_arity: Proof.context -> arity -> arity
    51   val read_typ: Proof.context -> string -> typ
    52   val read_typ_syntax: Proof.context -> string -> typ
    53   val read_typ_abbrev: Proof.context -> string -> typ
    54   val cert_typ: Proof.context -> typ -> typ
    55   val cert_typ_syntax: Proof.context -> typ -> typ
    56   val cert_typ_abbrev: Proof.context -> typ -> typ
    57   val get_skolem: Proof.context -> string -> string
    58   val revert_skolem: Proof.context -> string -> string
    59   val infer_type: Proof.context -> string * typ -> typ
    60   val inferred_param: string -> Proof.context -> typ * Proof.context
    61   val inferred_fixes: Proof.context -> (string * typ) list * Proof.context
    62   val read_type_name: Proof.context -> bool -> string -> typ
    63   val read_type_name_proper: Proof.context -> bool -> string -> typ
    64   val read_const_proper: Proof.context -> bool -> string -> term
    65   val read_const: Proof.context -> bool -> typ -> string -> term
    66   val allow_dummies: Proof.context -> Proof.context
    67   val check_tvar: Proof.context -> indexname * sort -> indexname * sort
    68   val check_tfree: Proof.context -> string * sort -> string * sort
    69   val get_sort: Proof.context -> (indexname * sort) list -> indexname -> sort
    70   val type_context: Proof.context -> Syntax.type_context
    71   val term_context: Proof.context -> Syntax.term_context
    72   val decode_term: Proof.context ->
    73     Position.reports * term Exn.result -> Position.reports * term Exn.result
    74   val standard_infer_types: Proof.context -> term list -> term list
    75   val read_term_pattern: Proof.context -> string -> term
    76   val read_term_schematic: Proof.context -> string -> term
    77   val read_term_abbrev: Proof.context -> string -> term
    78   val show_abbrevs_raw: Config.raw
    79   val show_abbrevs: bool Config.T
    80   val expand_abbrevs: Proof.context -> term -> term
    81   val cert_term: Proof.context -> term -> term
    82   val cert_prop: Proof.context -> term -> term
    83   val def_type: Proof.context -> indexname -> typ option
    84   val goal_export: Proof.context -> Proof.context -> thm list -> thm list
    85   val export: Proof.context -> Proof.context -> thm list -> thm list
    86   val export_morphism: Proof.context -> Proof.context -> morphism
    87   val norm_export_morphism: Proof.context -> Proof.context -> morphism
    88   val bind_terms: (indexname * term option) list -> Proof.context -> Proof.context
    89   val auto_bind_goal: term list -> Proof.context -> Proof.context
    90   val auto_bind_facts: term list -> Proof.context -> Proof.context
    91   val match_bind: bool -> (string list * string) list -> Proof.context -> term list * Proof.context
    92   val match_bind_i: bool -> (term list * term) list -> Proof.context -> term list * Proof.context
    93   val read_propp: Proof.context * (string * string list) list list
    94     -> Proof.context * (term * term list) list list
    95   val cert_propp: Proof.context * (term * term list) list list
    96     -> Proof.context * (term * term list) list list
    97   val read_propp_schematic: Proof.context * (string * string list) list list
    98     -> Proof.context * (term * term list) list list
    99   val cert_propp_schematic: Proof.context * (term * term list) list list
   100     -> Proof.context * (term * term list) list list
   101   val bind_propp: Proof.context * (string * string list) list list
   102     -> Proof.context * (term list list * (Proof.context -> Proof.context))
   103   val bind_propp_i: Proof.context * (term * term list) list list
   104     -> Proof.context * (term list list * (Proof.context -> Proof.context))
   105   val bind_propp_schematic: Proof.context * (string * string list) list list
   106     -> Proof.context * (term list list * (Proof.context -> Proof.context))
   107   val bind_propp_schematic_i: Proof.context * (term * term list) list list
   108     -> Proof.context * (term list list * (Proof.context -> Proof.context))
   109   val fact_tac: thm list -> int -> tactic
   110   val some_fact_tac: Proof.context -> int -> tactic
   111   val get_fact: Proof.context -> Facts.ref -> thm list
   112   val get_fact_single: Proof.context -> Facts.ref -> thm
   113   val get_thms: Proof.context -> xstring -> thm list
   114   val get_thm: Proof.context -> xstring -> thm
   115   val note_thmss: string -> (Thm.binding * (thm list * attribute list) list) list ->
   116     Proof.context -> (string * thm list) list * Proof.context
   117   val put_thms: bool -> string * thm list option -> Proof.context -> Proof.context
   118   val read_vars: (binding * string option * mixfix) list -> Proof.context ->
   119     (binding * typ option * mixfix) list * Proof.context
   120   val cert_vars: (binding * typ option * mixfix) list -> Proof.context ->
   121     (binding * typ option * mixfix) list * Proof.context
   122   val add_fixes: (binding * typ option * mixfix) list -> Proof.context ->
   123     string list * Proof.context
   124   val auto_fixes: Proof.context * (term list list * 'a) -> Proof.context * (term list list * 'a)
   125   val bind_fixes: string list -> Proof.context -> (term -> term) * Proof.context
   126   val add_assms: Assumption.export ->
   127     (Thm.binding * (string * string list) list) list ->
   128     Proof.context -> (string * thm list) list * Proof.context
   129   val add_assms_i: Assumption.export ->
   130     (Thm.binding * (term * term list) list) list ->
   131     Proof.context -> (string * thm list) list * Proof.context
   132   val add_cases: bool -> (string * Rule_Cases.T option) list -> Proof.context -> Proof.context
   133   val apply_case: Rule_Cases.T -> Proof.context -> (string * term list) list * Proof.context
   134   val get_case: Proof.context -> string -> string option list -> Rule_Cases.T
   135   val type_notation: bool -> Syntax.mode -> (typ * mixfix) list -> Proof.context -> Proof.context
   136   val notation: bool -> Syntax.mode -> (term * mixfix) list -> Proof.context -> Proof.context
   137   val target_type_notation: bool -> Syntax.mode -> (typ * mixfix) list -> morphism ->
   138     Context.generic -> Context.generic
   139   val target_notation: bool -> Syntax.mode -> (term * mixfix) list -> morphism ->
   140     Context.generic -> Context.generic
   141   val class_alias: binding -> class -> Proof.context -> Proof.context
   142   val type_alias: binding -> string -> Proof.context -> Proof.context
   143   val const_alias: binding -> string -> Proof.context -> Proof.context
   144   val add_const_constraint: string * typ option -> Proof.context -> Proof.context
   145   val add_abbrev: string -> binding * term -> Proof.context -> (term * term) * Proof.context
   146   val revert_abbrev: string -> string -> Proof.context -> Proof.context
   147   val print_syntax: Proof.context -> unit
   148   val print_abbrevs: Proof.context -> unit
   149   val print_binds: Proof.context -> unit
   150   val print_lthms: Proof.context -> unit
   151   val print_cases: Proof.context -> unit
   152   val debug: bool Unsynchronized.ref
   153   val verbose: bool Unsynchronized.ref
   154   val pretty_ctxt: Proof.context -> Pretty.T list
   155   val pretty_context: Proof.context -> Pretty.T list
   156 end;
   157 
   158 structure ProofContext: PROOF_CONTEXT =
   159 struct
   160 
   161 open ProofContext;
   162 
   163 
   164 (** inner syntax mode **)
   165 
   166 datatype mode =
   167   Mode of
   168    {stmt: bool,                (*inner statement mode*)
   169     pattern: bool,             (*pattern binding schematic variables*)
   170     schematic: bool,           (*term referencing loose schematic variables*)
   171     abbrev: bool};             (*abbrev mode -- no normalization*)
   172 
   173 fun make_mode (stmt, pattern, schematic, abbrev) =
   174   Mode {stmt = stmt, pattern = pattern, schematic = schematic, abbrev = abbrev};
   175 
   176 val mode_default   = make_mode (false, false, false, false);
   177 val mode_stmt      = make_mode (true, false, false, false);
   178 val mode_pattern   = make_mode (false, true, false, false);
   179 val mode_schematic = make_mode (false, false, true, false);
   180 val mode_abbrev    = make_mode (false, false, false, true);
   181 
   182 
   183 
   184 (** Isar proof context information **)
   185 
   186 datatype ctxt =
   187   Ctxt of
   188    {mode: mode,                  (*inner syntax mode*)
   189     naming: Name_Space.naming,   (*local naming conventions*)
   190     syntax: Local_Syntax.T,      (*local syntax*)
   191     tsig: Type.tsig * Type.tsig, (*local/global type signature -- local name space / defsort only*)
   192     consts: Consts.T * Consts.T, (*local/global consts -- local name space / abbrevs only*)
   193     facts: Facts.T,              (*local facts*)
   194     cases: (string * (Rule_Cases.T * bool)) list};    (*named case contexts*)
   195 
   196 fun make_ctxt (mode, naming, syntax, tsig, consts, facts, cases) =
   197   Ctxt {mode = mode, naming = naming, syntax = syntax,
   198     tsig = tsig, consts = consts, facts = facts, cases = cases};
   199 
   200 val local_naming = Name_Space.default_naming |> Name_Space.add_path "local";
   201 
   202 structure Data = Proof_Data
   203 (
   204   type T = ctxt;
   205   fun init thy =
   206     make_ctxt (mode_default, local_naming, Local_Syntax.init thy,
   207       (Sign.tsig_of thy, Sign.tsig_of thy),
   208       (Sign.consts_of thy, Sign.consts_of thy), Facts.empty, []);
   209 );
   210 
   211 fun rep_context ctxt = Data.get ctxt |> (fn Ctxt args => args);
   212 
   213 fun map_context f =
   214   Data.map (fn Ctxt {mode, naming, syntax, tsig, consts, facts, cases} =>
   215     make_ctxt (f (mode, naming, syntax, tsig, consts, facts, cases)));
   216 
   217 fun set_mode mode = map_context (fn (_, naming, syntax, tsig, consts, facts, cases) =>
   218   (mode, naming, syntax, tsig, consts, facts, cases));
   219 
   220 fun map_mode f =
   221   map_context (fn (Mode {stmt, pattern, schematic, abbrev}, naming, syntax, tsig, consts, facts, cases) =>
   222     (make_mode (f (stmt, pattern, schematic, abbrev)), naming, syntax, tsig, consts, facts, cases));
   223 
   224 fun map_naming f =
   225   map_context (fn (mode, naming, syntax, tsig, consts, facts, cases) =>
   226     (mode, f naming, syntax, tsig, consts, facts, cases));
   227 
   228 fun map_syntax f =
   229   map_context (fn (mode, naming, syntax, tsig, consts, facts, cases) =>
   230     (mode, naming, f syntax, tsig, consts, facts, cases));
   231 
   232 fun map_tsig f =
   233   map_context (fn (mode, naming, syntax, tsig, consts, facts, cases) =>
   234     (mode, naming, syntax, f tsig, consts, facts, cases));
   235 
   236 fun map_consts f =
   237   map_context (fn (mode, naming, syntax, tsig, consts, facts, cases) =>
   238     (mode, naming, syntax, tsig, f consts, facts, cases));
   239 
   240 fun map_facts f =
   241   map_context (fn (mode, naming, syntax, tsig, consts, facts, cases) =>
   242     (mode, naming, syntax, tsig, consts, f facts, cases));
   243 
   244 fun map_cases f =
   245   map_context (fn (mode, naming, syntax, tsig, consts, facts, cases) =>
   246     (mode, naming, syntax, tsig, consts, facts, f cases));
   247 
   248 val get_mode = #mode o rep_context;
   249 val restore_mode = set_mode o get_mode;
   250 val abbrev_mode = get_mode #> (fn Mode {abbrev, ...} => abbrev);
   251 
   252 fun set_stmt stmt =
   253   map_mode (fn (_, pattern, schematic, abbrev) => (stmt, pattern, schematic, abbrev));
   254 
   255 val naming_of = #naming o rep_context;
   256 val restore_naming = map_naming o K o naming_of
   257 val full_name = Name_Space.full_name o naming_of;
   258 
   259 val syntax_of = #syntax o rep_context;
   260 val syn_of = Local_Syntax.syn_of o syntax_of;
   261 val set_syntax_mode = map_syntax o Local_Syntax.set_mode;
   262 val restore_syntax_mode = map_syntax o Local_Syntax.restore_mode o syntax_of;
   263 
   264 val tsig_of = #1 o #tsig o rep_context;
   265 val set_defsort = map_tsig o apfst o Type.set_defsort;
   266 fun default_sort ctxt = the_default (Type.defaultS (tsig_of ctxt)) o Variable.def_sort ctxt;
   267 
   268 val consts_of = #1 o #consts o rep_context;
   269 val const_space = Consts.space_of o consts_of;
   270 val the_const_constraint = Consts.the_constraint o consts_of;
   271 
   272 val facts_of = #facts o rep_context;
   273 val cases_of = #cases o rep_context;
   274 
   275 
   276 (* theory transfer *)
   277 
   278 fun transfer_syntax thy ctxt = ctxt |>
   279   map_syntax (Local_Syntax.rebuild thy) |>
   280   map_tsig (fn tsig as (local_tsig, global_tsig) =>
   281     let val thy_tsig = Sign.tsig_of thy in
   282       if Type.eq_tsig (thy_tsig, global_tsig) then tsig
   283       else (Type.merge_tsig (Syntax.pp ctxt) (local_tsig, thy_tsig), thy_tsig)
   284     end) |>
   285   map_consts (fn consts as (local_consts, global_consts) =>
   286     let val thy_consts = Sign.consts_of thy in
   287       if Consts.eq_consts (thy_consts, global_consts) then consts
   288       else (Consts.merge (local_consts, thy_consts), thy_consts)
   289     end);
   290 
   291 fun transfer thy = Context.raw_transfer thy #> transfer_syntax thy;
   292 
   293 fun background_theory f ctxt = transfer (f (theory_of ctxt)) ctxt;
   294 
   295 fun background_theory_result f ctxt =
   296   let val (res, thy') = f (theory_of ctxt)
   297   in (res, ctxt |> transfer thy') end;
   298 
   299 
   300 
   301 (** pretty printing **)
   302 
   303 (* extern *)
   304 
   305 fun extern_fact ctxt name =
   306   let
   307     val local_facts = facts_of ctxt;
   308     val global_facts = Global_Theory.facts_of (theory_of ctxt);
   309   in
   310     if is_some (Facts.lookup (Context.Proof ctxt) local_facts name)
   311     then Facts.extern local_facts name
   312     else Facts.extern global_facts name
   313   end;
   314 
   315 
   316 (* pretty *)
   317 
   318 fun pretty_term_abbrev ctxt = Syntax.pretty_term (set_mode mode_abbrev ctxt);
   319 
   320 fun pretty_fact_name ctxt a = Pretty.block
   321   [Pretty.markup (Markup.fact a) [Pretty.str (extern_fact ctxt a)], Pretty.str ":"];
   322 
   323 fun pretty_fact_aux ctxt flag ("", ths) =
   324       Display.pretty_thms_aux ctxt flag ths
   325   | pretty_fact_aux ctxt flag (a, [th]) = Pretty.block
   326       [pretty_fact_name ctxt a, Pretty.brk 1, Display.pretty_thm_aux ctxt flag th]
   327   | pretty_fact_aux ctxt flag (a, ths) = Pretty.block
   328       (Pretty.fbreaks (pretty_fact_name ctxt a :: map (Display.pretty_thm_aux ctxt flag) ths));
   329 
   330 fun pretty_fact ctxt = pretty_fact_aux ctxt true;
   331 
   332 
   333 
   334 (** prepare types **)
   335 
   336 (* classes *)
   337 
   338 fun read_class ctxt text =
   339   let
   340     val tsig = tsig_of ctxt;
   341     val (syms, pos) = Syntax.read_token text;
   342     val c = Type.cert_class tsig (Type.intern_class tsig (Symbol_Pos.content syms))
   343       handle TYPE (msg, _, _) => error (msg ^ Position.str_of pos);
   344     val _ = Context_Position.report ctxt pos (Markup.tclass c);
   345   in c end;
   346 
   347 
   348 (* type arities *)
   349 
   350 local
   351 
   352 fun prep_arity prep_tycon prep_sort ctxt (t, Ss, S) =
   353   let val arity = (prep_tycon ctxt t, map (prep_sort ctxt) Ss, prep_sort ctxt S)
   354   in Type.add_arity (Syntax.pp ctxt) arity (tsig_of ctxt); arity end;
   355 
   356 in
   357 
   358 val read_arity = prep_arity (Type.intern_type o tsig_of) Syntax.read_sort;
   359 val cert_arity = prep_arity (K I) (Type.cert_sort o tsig_of);
   360 
   361 end;
   362 
   363 
   364 (* types *)
   365 
   366 fun read_typ_mode mode ctxt s =
   367   Syntax.read_typ (Type.set_mode mode ctxt) s;
   368 
   369 val read_typ = read_typ_mode Type.mode_default;
   370 val read_typ_syntax = read_typ_mode Type.mode_syntax;
   371 val read_typ_abbrev = read_typ_mode Type.mode_abbrev;
   372 
   373 
   374 fun cert_typ_mode mode ctxt T =
   375   Type.cert_typ_mode mode (tsig_of ctxt) T
   376     handle TYPE (msg, _, _) => error msg;
   377 
   378 val cert_typ = cert_typ_mode Type.mode_default;
   379 val cert_typ_syntax = cert_typ_mode Type.mode_syntax;
   380 val cert_typ_abbrev = cert_typ_mode Type.mode_abbrev;
   381 
   382 
   383 
   384 (** prepare variables **)
   385 
   386 (* internalize Skolem constants *)
   387 
   388 val lookup_skolem = AList.lookup (op =) o Variable.fixes_of;
   389 fun get_skolem ctxt x = the_default x (lookup_skolem ctxt x);
   390 
   391 fun no_skolem internal x =
   392   if can Name.dest_skolem x then
   393     error ("Illegal reference to internal Skolem constant: " ^ quote x)
   394   else if not internal andalso can Name.dest_internal x then
   395     error ("Illegal reference to internal variable: " ^ quote x)
   396   else x;
   397 
   398 
   399 (* revert Skolem constants -- if possible *)
   400 
   401 fun revert_skolem ctxt x =
   402   (case find_first (fn (_, y) => y = x) (Variable.fixes_of ctxt) of
   403     SOME (x', _) => if lookup_skolem ctxt x' = SOME x then x' else x
   404   | NONE => x);
   405 
   406 
   407 (* default token translations *)
   408 
   409 local
   410 
   411 fun free_or_skolem ctxt x =
   412   (if can Name.dest_skolem x then Pretty.mark Markup.skolem (Pretty.str (revert_skolem ctxt x))
   413    else Pretty.mark Markup.free (Pretty.str x))
   414   |> Pretty.mark
   415     (if Variable.is_fixed ctxt x orelse Syntax.is_pretty_global ctxt then Markup.fixed x
   416      else Markup.hilite);
   417 
   418 fun var_or_skolem _ s =
   419   (case Lexicon.read_variable s of
   420     SOME (x, i) =>
   421       (case try Name.dest_skolem x of
   422         NONE => Pretty.mark Markup.var (Pretty.str s)
   423       | SOME x' => Pretty.mark Markup.skolem (Pretty.str (Term.string_of_vname (x', i))))
   424   | NONE => Pretty.mark Markup.var (Pretty.str s));
   425 
   426 fun plain_markup m _ s = Pretty.mark m (Pretty.str s);
   427 
   428 val token_trans =
   429  Syntax.tokentrans_mode ""
   430   [("tfree", plain_markup Markup.tfree),
   431    ("tvar", plain_markup Markup.tvar),
   432    ("free", free_or_skolem),
   433    ("bound", plain_markup Markup.bound),
   434    ("var", var_or_skolem),
   435    ("numeral", plain_markup Markup.numeral),
   436    ("inner_string", plain_markup Markup.inner_string)];
   437 
   438 in val _ = Context.>> (Context.map_theory (Sign.add_tokentrfuns token_trans)) end;
   439 
   440 
   441 
   442 (** prepare terms and propositions **)
   443 
   444 (* inferred types of parameters *)
   445 
   446 fun infer_type ctxt x =
   447   Term.fastype_of (singleton (Syntax.check_terms (set_mode mode_schematic ctxt)) (Free x));
   448 
   449 fun inferred_param x ctxt =
   450   let val T = infer_type ctxt (x, dummyT)
   451   in (T, ctxt |> Variable.declare_term (Free (x, T))) end;
   452 
   453 fun inferred_fixes ctxt =
   454   let
   455     val xs = rev (map #2 (Variable.fixes_of ctxt));
   456     val (Ts, ctxt') = fold_map inferred_param xs ctxt;
   457   in (xs ~~ Ts, ctxt') end;
   458 
   459 
   460 (* type and constant names *)
   461 
   462 local
   463 
   464 val token_content = Syntax.read_token #>> Symbol_Pos.content;
   465 
   466 fun prep_const_proper ctxt strict (c, pos) =
   467   let
   468     fun err msg = error (msg ^ Position.str_of pos);
   469     val consts = consts_of ctxt;
   470     val t as Const (d, _) =
   471       (case Variable.lookup_const ctxt c of
   472         SOME d =>
   473           Const (d, Consts.type_scheme (consts_of ctxt) d handle TYPE (msg, _, _) => err msg)
   474       | NONE => Consts.read_const consts c);
   475     val _ =
   476       if strict then ignore (Consts.the_type consts d) handle TYPE (msg, _, _) => err msg
   477       else ();
   478     val _ = Context_Position.report ctxt pos (Markup.const d);
   479   in t end;
   480 
   481 in
   482 
   483 fun read_type_name ctxt strict text =
   484   let
   485     val tsig = tsig_of ctxt;
   486     val (c, pos) = token_content text;
   487   in
   488     if Syntax.is_tid c then
   489      (Context_Position.report ctxt pos Markup.tfree;
   490       TFree (c, default_sort ctxt (c, ~1)))
   491     else
   492       let
   493         val d = Type.intern_type tsig c;
   494         val decl = Type.the_decl tsig d;
   495         val _ = Context_Position.report ctxt pos (Markup.tycon d);
   496         fun err () = error ("Bad type name: " ^ quote d);
   497         val args =
   498           (case decl of
   499             Type.LogicalType n => n
   500           | Type.Abbreviation (vs, _, _) => if strict then err () else length vs
   501           | Type.Nonterminal => if strict then err () else 0);
   502       in Type (d, replicate args dummyT) end
   503   end;
   504 
   505 fun read_type_name_proper ctxt strict text =
   506   (case read_type_name ctxt strict text of
   507     T as Type _ => T
   508   | T => error ("Not a type constructor: " ^ Syntax.string_of_typ ctxt T));
   509 
   510 
   511 fun read_const_proper ctxt strict = prep_const_proper ctxt strict o token_content;
   512 
   513 fun read_const ctxt strict ty text =
   514   let
   515     val (c, pos) = token_content text;
   516     val _ = no_skolem false c;
   517   in
   518     (case (lookup_skolem ctxt c, Variable.is_const ctxt c) of
   519       (SOME x, false) =>
   520         (Context_Position.report ctxt pos
   521             (Markup.name x (if can Name.dest_skolem x then Markup.skolem else Markup.free));
   522           Free (x, infer_type ctxt (x, ty)))
   523     | _ => prep_const_proper ctxt strict (c, pos))
   524   end;
   525 
   526 end;
   527 
   528 
   529 (* read_term *)
   530 
   531 fun read_term_mode mode ctxt = Syntax.read_term (set_mode mode ctxt);
   532 
   533 val read_term_pattern   = read_term_mode mode_pattern;
   534 val read_term_schematic = read_term_mode mode_schematic;
   535 val read_term_abbrev    = read_term_mode mode_abbrev;
   536 
   537 
   538 (* local abbreviations *)
   539 
   540 local
   541 
   542 fun certify_consts ctxt = Consts.certify (Syntax.pp ctxt) (tsig_of ctxt)
   543   (not (abbrev_mode ctxt)) (consts_of ctxt);
   544 
   545 fun expand_binds ctxt =
   546   let
   547     val Mode {pattern, schematic, ...} = get_mode ctxt;
   548 
   549     fun reject_schematic (t as Var _) =
   550           error ("Unbound schematic variable: " ^ Syntax.string_of_term ctxt t)
   551       | reject_schematic (Abs (_, _, t)) = reject_schematic t
   552       | reject_schematic (t $ u) = (reject_schematic t; reject_schematic u)
   553       | reject_schematic _ = ();
   554   in
   555     if pattern then I
   556     else Variable.expand_binds ctxt #> (if schematic then I else tap reject_schematic)
   557   end;
   558 
   559 in
   560 
   561 fun expand_abbrevs ctxt = certify_consts ctxt #> expand_binds ctxt;
   562 
   563 end;
   564 
   565 val show_abbrevs_raw = Config.declare "show_abbrevs" (fn _ => Config.Bool true);
   566 val show_abbrevs = Config.bool show_abbrevs_raw;
   567 
   568 fun contract_abbrevs ctxt t =
   569   let
   570     val thy = theory_of ctxt;
   571     val consts = consts_of ctxt;
   572     val Mode {abbrev, ...} = get_mode ctxt;
   573     val retrieve = Consts.retrieve_abbrevs consts (print_mode_value () @ [""]);
   574     fun match_abbrev u = Option.map #1 (get_first (Pattern.match_rew thy u) (retrieve u));
   575   in
   576     if abbrev orelse not (Config.get ctxt show_abbrevs) orelse not (can Term.type_of t) then t
   577     else Pattern.rewrite_term_top thy [] [match_abbrev] t
   578   end;
   579 
   580 
   581 (* patterns *)
   582 
   583 fun prepare_patternT ctxt T =
   584   let
   585     val Mode {pattern, schematic, ...} = get_mode ctxt;
   586     val _ =
   587       pattern orelse schematic orelse
   588         T |> Term.exists_subtype
   589           (fn T as TVar (xi, _) =>
   590             not (Type_Infer.is_param xi) andalso
   591               error ("Illegal schematic type variable: " ^ Syntax.string_of_typ ctxt T)
   592           | _ => false)
   593   in T end;
   594 
   595 
   596 local
   597 
   598 val dummies = Config.bool (Config.declare "ProofContext.dummies" (K (Config.Bool false)));
   599 
   600 fun check_dummies ctxt t =
   601   if Config.get ctxt dummies then t
   602   else Term.no_dummy_patterns t handle TERM _ => error "Illegal dummy pattern(s) in term";
   603 
   604 fun prepare_dummies ts = #1 (fold_map Term.replace_dummy_patterns ts 1);
   605 
   606 in
   607 
   608 val allow_dummies = Config.put dummies true;
   609 
   610 fun prepare_patterns ctxt =
   611   let val Mode {pattern, ...} = get_mode ctxt in
   612     Type_Infer.fixate ctxt #>
   613     pattern ? Variable.polymorphic ctxt #>
   614     (map o Term.map_types) (prepare_patternT ctxt) #>
   615     (if pattern then prepare_dummies else map (check_dummies ctxt))
   616   end;
   617 
   618 end;
   619 
   620 
   621 (* decoding raw terms (syntax trees) *)
   622 
   623 (* types *)
   624 
   625 fun get_sort ctxt raw_text =
   626   let
   627     val tsig = tsig_of ctxt;
   628 
   629     val text = distinct (op =) (map (apsnd (Type.minimize_sort tsig)) raw_text);
   630     val _ =
   631       (case duplicates (eq_fst (op =)) text of
   632         [] => ()
   633       | dups => error ("Inconsistent sort constraints for type variable(s) "
   634           ^ commas_quote (map (Term.string_of_vname' o fst) dups)));
   635 
   636     fun lookup xi =
   637       (case AList.lookup (op =) text xi of
   638         NONE => NONE
   639       | SOME S => if S = dummyS then NONE else SOME S);
   640 
   641     fun get xi =
   642       (case (lookup xi, Variable.def_sort ctxt xi) of
   643         (NONE, NONE) => Type.defaultS tsig
   644       | (NONE, SOME S) => S
   645       | (SOME S, NONE) => S
   646       | (SOME S, SOME S') =>
   647           if Type.eq_sort tsig (S, S') then S'
   648           else error ("Sort constraint " ^ Syntax.string_of_sort ctxt S ^
   649             " inconsistent with default " ^ Syntax.string_of_sort ctxt S' ^
   650             " for type variable " ^ quote (Term.string_of_vname' xi)));
   651   in get end;
   652 
   653 fun check_tvar ctxt (xi, S) = (xi, get_sort ctxt [(xi, S)] xi);
   654 fun check_tfree ctxt (x, S) = apfst fst (check_tvar ctxt ((x, ~1), S));
   655 
   656 local
   657 
   658 fun intern_skolem ctxt def_type x =
   659   let
   660     val _ = no_skolem false x;
   661     val sko = lookup_skolem ctxt x;
   662     val is_const = can (read_const_proper ctxt false) x orelse Long_Name.is_qualified x;
   663     val is_declared = is_some (def_type (x, ~1));
   664   in
   665     if Variable.is_const ctxt x then NONE
   666     else if is_some sko then sko
   667     else if not is_const orelse is_declared then SOME x
   668     else NONE
   669   end;
   670 
   671 in
   672 
   673 fun type_context ctxt : Syntax.type_context =
   674  {get_class = read_class ctxt,
   675   get_type = #1 o dest_Type o read_type_name_proper ctxt false,
   676   markup_class = fn c => [Name_Space.markup_entry (Type.class_space (tsig_of ctxt)) c],
   677   markup_type = fn c => [Name_Space.markup_entry (Type.type_space (tsig_of ctxt)) c]};
   678 
   679 fun term_context ctxt : Syntax.term_context =
   680  {get_sort = get_sort ctxt,
   681   get_const = fn a => ((true, #1 (Term.dest_Const (read_const_proper ctxt false a)))
   682     handle ERROR _ => (false, Consts.intern (consts_of ctxt) a)),
   683   get_free = intern_skolem ctxt (Variable.def_type ctxt false),
   684   markup_const = fn c => [Name_Space.markup_entry (const_space ctxt) c],
   685   markup_free = fn x =>
   686     [if can Name.dest_skolem x then Markup.skolem else Markup.free] @
   687     (if not (Variable.is_body ctxt) orelse Variable.is_fixed ctxt x then [] else [Markup.hilite]),
   688   markup_var = fn xi => [Markup.name (Term.string_of_vname xi) Markup.var]};
   689 
   690 val decode_term = Syntax.decode_term o term_context;
   691 
   692 end;
   693 
   694 
   695 (* certify terms *)
   696 
   697 local
   698 
   699 fun gen_cert prop ctxt t =
   700   t
   701   |> expand_abbrevs ctxt
   702   |> (fn t' => #1 (Sign.certify' prop (Syntax.pp ctxt) false (consts_of ctxt) (theory_of ctxt) t')
   703     handle TYPE (msg, _, _) => error msg
   704       | TERM (msg, _) => error msg);
   705 
   706 in
   707 
   708 val cert_term = gen_cert false;
   709 val cert_prop = gen_cert true;
   710 
   711 end;
   712 
   713 
   714 (* type checking/inference *)
   715 
   716 fun def_type ctxt =
   717   let val Mode {pattern, ...} = get_mode ctxt
   718   in Variable.def_type ctxt pattern end;
   719 
   720 fun standard_infer_types ctxt =
   721   Type_Infer.infer_types ctxt (try (Consts.the_constraint (consts_of ctxt))) (def_type ctxt);
   722 
   723 local
   724 
   725 fun standard_typ_check ctxt =
   726   map (cert_typ_mode (Type.get_mode ctxt) ctxt) #>
   727   map (prepare_patternT ctxt);
   728 
   729 fun standard_term_check ctxt =
   730   standard_infer_types ctxt #>
   731   map (expand_abbrevs ctxt);
   732 
   733 fun standard_term_uncheck ctxt =
   734   map (contract_abbrevs ctxt);
   735 
   736 fun add eq what f = Context.>> (what (fn xs => fn ctxt =>
   737   let val xs' = f ctxt xs in if eq_list eq (xs, xs') then NONE else SOME (xs', ctxt) end));
   738 
   739 in
   740 
   741 val _ = add (op =) (Syntax.add_typ_check 0 "standard") standard_typ_check;
   742 val _ = add (op aconv) (Syntax.add_term_check 0 "standard") standard_term_check;
   743 val _ = add (op aconv) (Syntax.add_term_check 100 "fixate") prepare_patterns;
   744 
   745 val _ = add (op aconv) (Syntax.add_term_uncheck 0 "standard") standard_term_uncheck;
   746 
   747 end;
   748 
   749 
   750 
   751 (** export results **)
   752 
   753 fun common_export is_goal inner outer =
   754   map (Assumption.export is_goal inner outer) #>
   755   Variable.export inner outer;
   756 
   757 val goal_export = common_export true;
   758 val export = common_export false;
   759 
   760 fun export_morphism inner outer =
   761   Assumption.export_morphism inner outer $>
   762   Variable.export_morphism inner outer;
   763 
   764 fun norm_export_morphism inner outer =
   765   export_morphism inner outer $>
   766   Morphism.thm_morphism Goal.norm_result;
   767 
   768 
   769 
   770 (** term bindings **)
   771 
   772 (* simult_matches *)
   773 
   774 fun simult_matches ctxt (t, pats) =
   775   (case Seq.pull (Unify.matchers (theory_of ctxt) (map (rpair t) pats)) of
   776     NONE => error "Pattern match failed!"
   777   | SOME (env, _) => Vartab.fold (fn (v, (_, t)) => cons (v, t)) (Envir.term_env env) []);
   778 
   779 
   780 (* bind_terms *)
   781 
   782 val bind_terms = fold (fn (xi, t) => fn ctxt =>
   783   ctxt
   784   |> Variable.bind_term (xi, Option.map (cert_term (set_mode mode_default ctxt)) t));
   785 
   786 
   787 (* auto_bind *)
   788 
   789 fun drop_schematic (b as (xi, SOME t)) = if Term.exists_subterm is_Var t then (xi, NONE) else b
   790   | drop_schematic b = b;
   791 
   792 fun auto_bind f ts ctxt = ctxt |> bind_terms (map drop_schematic (f (theory_of ctxt) ts));
   793 
   794 val auto_bind_goal = auto_bind Auto_Bind.goal;
   795 val auto_bind_facts = auto_bind Auto_Bind.facts;
   796 
   797 
   798 (* match_bind(_i) *)
   799 
   800 local
   801 
   802 fun gen_bind prep_terms gen raw_binds ctxt =
   803   let
   804     fun prep_bind (raw_pats, t) ctxt1 =
   805       let
   806         val T = Term.fastype_of t;
   807         val ctxt2 = Variable.declare_term t ctxt1;
   808         val pats = prep_terms (set_mode mode_pattern ctxt2) T raw_pats;
   809         val binds = simult_matches ctxt2 (t, pats);
   810       in (binds, ctxt2) end;
   811 
   812     val ts = prep_terms ctxt dummyT (map snd raw_binds);
   813     val (binds, ctxt') = apfst flat (fold_map prep_bind (map fst raw_binds ~~ ts) ctxt);
   814     val binds' =
   815       if gen then map #1 binds ~~ Variable.exportT_terms ctxt' ctxt (map #2 binds)
   816       else binds;
   817     val binds'' = map (apsnd SOME) binds';
   818     val ctxt'' =
   819       tap (Variable.warn_extra_tfrees ctxt)
   820        (if gen then
   821           ctxt (*sic!*) |> fold Variable.declare_term (map #2 binds') |> bind_terms binds''
   822         else ctxt' |> bind_terms binds'');
   823   in (ts, ctxt'') end;
   824 
   825 in
   826 
   827 fun read_terms ctxt T =
   828   map (Syntax.parse_term ctxt #> Type.constraint T) #> Syntax.check_terms ctxt;
   829 
   830 val match_bind = gen_bind read_terms;
   831 val match_bind_i = gen_bind (fn ctxt => fn _ => map (cert_term ctxt));
   832 
   833 end;
   834 
   835 
   836 (* propositions with patterns *)
   837 
   838 local
   839 
   840 fun prep_propp mode prep_props (context, args) =
   841   let
   842     fun prep (_, raw_pats) (ctxt, prop :: props) =
   843       let val ctxt' = Variable.declare_term prop ctxt
   844       in ((prop, prep_props (set_mode mode_pattern ctxt') raw_pats), (ctxt', props)) end;
   845 
   846     val (propp, (context', _)) = (fold_map o fold_map) prep args
   847       (context, prep_props (set_mode mode context) (maps (map fst) args));
   848   in (context', propp) end;
   849 
   850 fun gen_bind_propp mode parse_prop (ctxt, raw_args) =
   851   let
   852     val (ctxt', args) = prep_propp mode parse_prop (ctxt, raw_args);
   853     val binds = flat (flat (map (map (simult_matches ctxt')) args));
   854     val propss = map (map #1) args;
   855 
   856     (*generalize result: context evaluated now, binds added later*)
   857     val gen = Variable.exportT_terms ctxt' ctxt;
   858     fun gen_binds c = c |> bind_terms (map #1 binds ~~ map SOME (gen (map #2 binds)));
   859   in (ctxt' |> bind_terms (map (apsnd SOME) binds), (propss, gen_binds)) end;
   860 
   861 in
   862 
   863 val read_propp           = prep_propp mode_default Syntax.read_props;
   864 val cert_propp           = prep_propp mode_default (map o cert_prop);
   865 val read_propp_schematic = prep_propp mode_schematic Syntax.read_props;
   866 val cert_propp_schematic = prep_propp mode_schematic (map o cert_prop);
   867 
   868 val bind_propp             = gen_bind_propp mode_default Syntax.read_props;
   869 val bind_propp_i           = gen_bind_propp mode_default (map o cert_prop);
   870 val bind_propp_schematic   = gen_bind_propp mode_schematic Syntax.read_props;
   871 val bind_propp_schematic_i = gen_bind_propp mode_schematic (map o cert_prop);
   872 
   873 end;
   874 
   875 
   876 
   877 (** theorems **)
   878 
   879 (* fact_tac *)
   880 
   881 fun comp_incr_tac [] _ = no_tac
   882   | comp_incr_tac (th :: ths) i =
   883       (fn st => Goal.compose_hhf_tac (Drule.incr_indexes st th) i st) APPEND comp_incr_tac ths i;
   884 
   885 fun fact_tac facts = Goal.norm_hhf_tac THEN' comp_incr_tac facts;
   886 
   887 fun potential_facts ctxt prop =
   888   Facts.could_unify (facts_of ctxt) (Term.strip_all_body prop);
   889 
   890 fun some_fact_tac ctxt = SUBGOAL (fn (goal, i) => fact_tac (potential_facts ctxt goal) i);
   891 
   892 
   893 (* get_thm(s) *)
   894 
   895 local
   896 
   897 fun retrieve_thms pick ctxt (Facts.Fact s) =
   898       let
   899         val (_, pos) = Syntax.read_token s;
   900         val prop = Syntax.read_prop (set_mode mode_default ctxt) s
   901           |> singleton (Variable.polymorphic ctxt);
   902 
   903         fun prove_fact th =
   904           Goal.prove ctxt [] [] prop (K (ALLGOALS (fact_tac [th])));
   905         val res =
   906           (case get_first (try prove_fact) (potential_facts ctxt prop) of
   907             SOME res => res
   908           | NONE => error ("Failed to retrieve literal fact" ^ Position.str_of pos ^ ":\n" ^
   909               Syntax.string_of_term ctxt prop))
   910       in pick "" [res] end
   911   | retrieve_thms pick ctxt xthmref =
   912       let
   913         val thy = theory_of ctxt;
   914         val local_facts = facts_of ctxt;
   915         val thmref = Facts.map_name_of_ref (Facts.intern local_facts) xthmref;
   916         val name = Facts.name_of_ref thmref;
   917         val pos = Facts.pos_of_ref xthmref;
   918         val thms =
   919           if name = "" then [Thm.transfer thy Drule.dummy_thm]
   920           else
   921             (case Facts.lookup (Context.Proof ctxt) local_facts name of
   922               SOME (_, ths) =>
   923                (Context_Position.report ctxt pos (Markup.local_fact name);
   924                 map (Thm.transfer thy) (Facts.select thmref ths))
   925             | NONE => Global_Theory.get_fact (Context.Proof ctxt) thy xthmref);
   926       in pick name thms end;
   927 
   928 in
   929 
   930 val get_fact = retrieve_thms (K I);
   931 val get_fact_single = retrieve_thms Facts.the_single;
   932 
   933 fun get_thms ctxt = get_fact ctxt o Facts.named;
   934 fun get_thm ctxt = get_fact_single ctxt o Facts.named;
   935 
   936 end;
   937 
   938 
   939 (* facts *)
   940 
   941 local
   942 
   943 fun update_thms _ (b, NONE) ctxt = ctxt |> map_facts (Facts.del (full_name ctxt b))
   944   | update_thms do_props (b, SOME ths) ctxt = ctxt |> map_facts
   945       (Facts.add_local do_props (naming_of ctxt) (b, ths) #> snd);
   946 
   947 in
   948 
   949 fun note_thmss kind = fold_map (fn ((b, more_attrs), raw_facts) => fn ctxt =>
   950   let
   951     val pos = Binding.pos_of b;
   952     val name = full_name ctxt b;
   953     val _ = Context_Position.report ctxt pos (Markup.local_fact_decl name);
   954 
   955     val facts = Global_Theory.name_thmss false name raw_facts;
   956     fun app (th, attrs) x =
   957       swap (Library.foldl_map
   958         (Thm.proof_attributes (surround (Thm.kind kind) (attrs @ more_attrs))) (x, th));
   959     val (res, ctxt') = fold_map app facts ctxt;
   960     val thms = Global_Theory.name_thms false false name (flat res);
   961     val Mode {stmt, ...} = get_mode ctxt;
   962   in ((name, thms), ctxt' |> update_thms stmt (b, SOME thms)) end);
   963 
   964 fun put_thms do_props thms ctxt = ctxt
   965   |> map_naming (K local_naming)
   966   |> Context_Position.set_visible false
   967   |> update_thms do_props (apfst Binding.name thms)
   968   |> Context_Position.restore_visible ctxt
   969   |> restore_naming ctxt;
   970 
   971 end;
   972 
   973 
   974 
   975 (** basic logical entities **)
   976 
   977 (* variables *)
   978 
   979 fun declare_var (x, opt_T, mx) ctxt =
   980   let val T = (case opt_T of SOME T => T | NONE => Syntax.mixfixT mx)
   981   in ((x, T, mx), ctxt |> Variable.declare_constraints (Free (x, T))) end;
   982 
   983 local
   984 
   985 fun prep_vars prep_typ internal =
   986   fold_map (fn (b, raw_T, mx) => fn ctxt =>
   987     let
   988       val x = Name.of_binding b;
   989       val _ = Syntax.is_identifier (no_skolem internal x) orelse
   990         error ("Illegal variable name: " ^ quote (Binding.str_of b));
   991 
   992       fun cond_tvars T =
   993         if internal then T
   994         else Type.no_tvars T handle TYPE (msg, _, _) => error msg;
   995       val opt_T = Option.map (cond_tvars o cert_typ ctxt o prep_typ ctxt) raw_T;
   996       val (_, ctxt') = ctxt |> declare_var (x, opt_T, mx);
   997     in ((b, opt_T, mx), ctxt') end);
   998 
   999 in
  1000 
  1001 val read_vars = prep_vars Syntax.parse_typ false;
  1002 val cert_vars = prep_vars (K I) true;
  1003 
  1004 end;
  1005 
  1006 
  1007 (* authentic syntax *)
  1008 
  1009 local
  1010 
  1011 fun const_ast_tr intern ctxt [Ast.Variable c] =
  1012       let
  1013         val Const (c', _) = read_const_proper ctxt false c;
  1014         val d = if intern then Syntax.mark_const c' else c;
  1015       in Ast.Constant d end
  1016   | const_ast_tr _ _ asts = raise Ast.AST ("const_ast_tr", asts);
  1017 
  1018 val typ = Simple_Syntax.read_typ;
  1019 
  1020 in
  1021 
  1022 val _ = Context.>> (Context.map_theory
  1023  (Sign.add_syntax_i
  1024    [("_context_const", typ "id => logic", Delimfix "CONST _"),
  1025     ("_context_const", typ "id => aprop", Delimfix "CONST _"),
  1026     ("_context_const", typ "longid => logic", Delimfix "CONST _"),
  1027     ("_context_const", typ "longid => aprop", Delimfix "CONST _"),
  1028     ("_context_xconst", typ "id => logic", Delimfix "XCONST _"),
  1029     ("_context_xconst", typ "id => aprop", Delimfix "XCONST _"),
  1030     ("_context_xconst", typ "longid => logic", Delimfix "XCONST _"),
  1031     ("_context_xconst", typ "longid => aprop", Delimfix "XCONST _")] #>
  1032   Sign.add_advanced_trfuns
  1033     ([("_context_const", const_ast_tr true), ("_context_xconst", const_ast_tr false)], [], [], [])));
  1034 
  1035 end;
  1036 
  1037 
  1038 (* notation *)
  1039 
  1040 local
  1041 
  1042 fun type_syntax (Type (c, args), mx) =
  1043       SOME (Local_Syntax.Type, (Syntax.mark_type c, Syntax.make_type (length args), mx))
  1044   | type_syntax _ = NONE;
  1045 
  1046 fun const_syntax _ (Free (x, T), mx) = SOME (Local_Syntax.Fixed, (x, T, mx))
  1047   | const_syntax ctxt (Const (c, _), mx) =
  1048       (case try (Consts.type_scheme (consts_of ctxt)) c of
  1049         SOME T => SOME (Local_Syntax.Const, (Syntax.mark_const c, T, mx))
  1050       | NONE => NONE)
  1051   | const_syntax _ _ = NONE;
  1052 
  1053 fun gen_notation syntax add mode args ctxt =
  1054   ctxt |> map_syntax
  1055     (Local_Syntax.update_modesyntax (theory_of ctxt) add mode (map_filter (syntax ctxt) args));
  1056 
  1057 in
  1058 
  1059 val type_notation = gen_notation (K type_syntax);
  1060 val notation = gen_notation const_syntax;
  1061 
  1062 fun target_type_notation add mode args phi =
  1063   let
  1064     val args' = args |> map_filter (fn (T, mx) =>
  1065       let
  1066         val T' = Morphism.typ phi T;
  1067         val similar = (case (T, T') of (Type (c, _), Type (c', _)) => c = c' | _ => false);
  1068       in if similar then SOME (T', mx) else NONE end);
  1069   in Context.mapping (Sign.type_notation add mode args') (type_notation add mode args') end;
  1070 
  1071 fun target_notation add mode args phi =
  1072   let
  1073     val args' = args |> map_filter (fn (t, mx) =>
  1074       let val t' = Morphism.term phi t
  1075       in if Term.aconv_untyped (t, t') then SOME (t', mx) else NONE end);
  1076   in Context.mapping (Sign.notation add mode args') (notation add mode args') end;
  1077 
  1078 end;
  1079 
  1080 
  1081 (* aliases *)
  1082 
  1083 fun class_alias b c ctxt = (map_tsig o apfst) (Type.class_alias (naming_of ctxt) b c) ctxt;
  1084 fun type_alias b c ctxt = (map_tsig o apfst) (Type.type_alias (naming_of ctxt) b c) ctxt;
  1085 fun const_alias b c ctxt = (map_consts o apfst) (Consts.alias (naming_of ctxt) b c) ctxt;
  1086 
  1087 
  1088 (* local constants *)
  1089 
  1090 fun add_const_constraint (c, opt_T) ctxt =
  1091   let
  1092     fun prepT raw_T =
  1093       let val T = cert_typ ctxt raw_T
  1094       in cert_term ctxt (Const (c, T)); T end;
  1095   in ctxt |> (map_consts o apfst) (Consts.constrain (c, Option.map prepT opt_T)) end;
  1096 
  1097 fun add_abbrev mode (b, raw_t) ctxt =
  1098   let
  1099     val t0 = cert_term (ctxt |> set_mode mode_abbrev) raw_t
  1100       handle ERROR msg => cat_error msg ("in constant abbreviation " ^ quote (Binding.str_of b));
  1101     val [t] = Variable.exportT_terms (Variable.declare_term t0 ctxt) ctxt [t0];
  1102     val ((lhs, rhs), consts') = consts_of ctxt
  1103       |> Consts.abbreviate (Syntax.pp ctxt) (tsig_of ctxt) (naming_of ctxt) mode (b, t);
  1104   in
  1105     ctxt
  1106     |> (map_consts o apfst) (K consts')
  1107     |> Variable.declare_term rhs
  1108     |> pair (lhs, rhs)
  1109   end;
  1110 
  1111 fun revert_abbrev mode c = (map_consts o apfst) (Consts.revert_abbrev mode c);
  1112 
  1113 
  1114 (* fixes *)
  1115 
  1116 fun add_fixes raw_vars ctxt =
  1117   let
  1118     val (vars, _) = cert_vars raw_vars ctxt;
  1119     val (xs', ctxt') = Variable.add_fixes (map (Name.of_binding o #1) vars) ctxt;
  1120     val ctxt'' =
  1121       ctxt'
  1122       |> fold_map declare_var (map2 (fn x' => fn (_, T, mx) => (x', T, mx)) xs' vars)
  1123       |-> (map_syntax o Local_Syntax.add_syntax (theory_of ctxt) o map (pair Local_Syntax.Fixed));
  1124     val _ = (vars ~~ xs') |> List.app (fn ((b, _, _), x') =>
  1125       Context_Position.report ctxt (Binding.pos_of b) (Markup.fixed_decl x'));
  1126   in (xs', ctxt'') end;
  1127 
  1128 
  1129 (* fixes vs. frees *)
  1130 
  1131 fun auto_fixes (ctxt, (propss, x)) =
  1132   ((fold o fold) Variable.auto_fixes propss ctxt, (propss, x));
  1133 
  1134 fun bind_fixes xs ctxt =
  1135   let
  1136     val (_, ctxt') = ctxt |> add_fixes (map (fn x => (Binding.name x, NONE, NoSyn)) xs);
  1137     fun bind (t as Free (x, T)) =
  1138           if member (op =) xs x then
  1139             (case lookup_skolem ctxt' x of SOME x' => Free (x', T) | NONE => t)
  1140           else t
  1141       | bind (t $ u) = bind t $ bind u
  1142       | bind (Abs (x, T, t)) = Abs (x, T, bind t)
  1143       | bind a = a;
  1144   in (bind, ctxt') end;
  1145 
  1146 
  1147 
  1148 (** assumptions **)
  1149 
  1150 local
  1151 
  1152 fun gen_assms prepp exp args ctxt =
  1153   let
  1154     val cert = Thm.cterm_of (theory_of ctxt);
  1155     val (propss, ctxt1) = swap (prepp (ctxt, map snd args));
  1156     val _ = Variable.warn_extra_tfrees ctxt ctxt1;
  1157     val (premss, ctxt2) = fold_burrow (Assumption.add_assms exp o map cert) propss ctxt1;
  1158   in
  1159     ctxt2
  1160     |> auto_bind_facts (flat propss)
  1161     |> note_thmss "" (map fst args ~~ map (map (fn th => ([th], []))) premss)
  1162   end;
  1163 
  1164 in
  1165 
  1166 val add_assms = gen_assms (apsnd #1 o bind_propp);
  1167 val add_assms_i = gen_assms (apsnd #1 o bind_propp_i);
  1168 
  1169 end;
  1170 
  1171 
  1172 
  1173 (** cases **)
  1174 
  1175 local
  1176 
  1177 fun rem_case name = remove (fn (x: string, (y, _)) => x = y) name;
  1178 
  1179 fun add_case _ ("", _) cases = cases
  1180   | add_case _ (name, NONE) cases = rem_case name cases
  1181   | add_case is_proper (name, SOME c) cases = (name, (c, is_proper)) :: rem_case name cases;
  1182 
  1183 fun prep_case name fxs c =
  1184   let
  1185     fun replace (opt_x :: xs) ((y, T) :: ys) = (the_default y opt_x, T) :: replace xs ys
  1186       | replace [] ys = ys
  1187       | replace (_ :: _) [] = error ("Too many parameters for case " ^ quote name);
  1188     val Rule_Cases.Case {fixes, assumes, binds, cases} = c;
  1189     val fixes' = replace fxs fixes;
  1190     val binds' = map drop_schematic binds;
  1191   in
  1192     if null (fold (Term.add_tvarsT o snd) fixes []) andalso
  1193       null (fold (fold Term.add_vars o snd) assumes []) then
  1194         Rule_Cases.Case {fixes = fixes', assumes = assumes, binds = binds', cases = cases}
  1195     else error ("Illegal schematic variable(s) in case " ^ quote name)
  1196   end;
  1197 
  1198 fun fix (x, T) ctxt =
  1199   let
  1200     val (bind, ctxt') = bind_fixes [x] ctxt;
  1201     val t = bind (Free (x, T));
  1202   in (t, ctxt' |> Variable.declare_constraints t) end;
  1203 
  1204 in
  1205 
  1206 fun add_cases is_proper = map_cases o fold (add_case is_proper);
  1207 
  1208 fun case_result c ctxt =
  1209   let
  1210     val Rule_Cases.Case {fixes, ...} = c;
  1211     val (ts, ctxt') = ctxt |> fold_map fix fixes;
  1212     val Rule_Cases.Case {assumes, binds, cases, ...} = Rule_Cases.apply ts c;
  1213   in
  1214     ctxt'
  1215     |> bind_terms (map drop_schematic binds)
  1216     |> add_cases true (map (apsnd SOME) cases)
  1217     |> pair (assumes, (binds, cases))
  1218   end;
  1219 
  1220 val apply_case = apfst fst oo case_result;
  1221 
  1222 fun get_case ctxt name xs =
  1223   (case AList.lookup (op =) (cases_of ctxt) name of
  1224     NONE => error ("Unknown case: " ^ quote name)
  1225   | SOME (c, _) => prep_case name xs c);
  1226 
  1227 end;
  1228 
  1229 
  1230 
  1231 (** print context information **)
  1232 
  1233 (* local syntax *)
  1234 
  1235 val print_syntax = Syntax.print_syntax o syn_of;
  1236 
  1237 
  1238 (* abbreviations *)
  1239 
  1240 fun pretty_abbrevs show_globals ctxt =
  1241   let
  1242     val ((space, consts), (_, globals)) =
  1243       pairself (#constants o Consts.dest) (#consts (rep_context ctxt));
  1244     fun add_abbr (_, (_, NONE)) = I
  1245       | add_abbr (c, (T, SOME t)) =
  1246           if not show_globals andalso Symtab.defined globals c then I
  1247           else cons (c, Logic.mk_equals (Const (c, T), t));
  1248     val abbrevs = Name_Space.extern_table (space, Symtab.make (Symtab.fold add_abbr consts []));
  1249   in
  1250     if null abbrevs then []
  1251     else [Pretty.big_list "abbreviations:" (map (pretty_term_abbrev ctxt o #2) abbrevs)]
  1252   end;
  1253 
  1254 val print_abbrevs = Pretty.writeln o Pretty.chunks o pretty_abbrevs true;
  1255 
  1256 
  1257 (* term bindings *)
  1258 
  1259 fun pretty_binds ctxt =
  1260   let
  1261     val binds = Variable.binds_of ctxt;
  1262     fun prt_bind (xi, (T, t)) = pretty_term_abbrev ctxt (Logic.mk_equals (Var (xi, T), t));
  1263   in
  1264     if Vartab.is_empty binds then []
  1265     else [Pretty.big_list "term bindings:" (map prt_bind (Vartab.dest binds))]
  1266   end;
  1267 
  1268 val print_binds = Pretty.writeln o Pretty.chunks o pretty_binds;
  1269 
  1270 
  1271 (* local theorems *)
  1272 
  1273 fun pretty_lthms ctxt =
  1274   let
  1275     val local_facts = facts_of ctxt;
  1276     val props = Facts.props local_facts;
  1277     val facts =
  1278       (if null props then [] else [("<unnamed>", props)]) @
  1279       Facts.dest_static [] local_facts;
  1280   in
  1281     if null facts then []
  1282     else [Pretty.big_list "facts:" (map #1 (sort_wrt (#1 o #2) (map (`(pretty_fact ctxt)) facts)))]
  1283   end;
  1284 
  1285 val print_lthms = Pretty.writeln o Pretty.chunks o pretty_lthms;
  1286 
  1287 
  1288 (* local contexts *)
  1289 
  1290 local
  1291 
  1292 fun pretty_case (name, (fixes, ((asms, (lets, cs)), ctxt))) =
  1293   let
  1294     val prt_term = Syntax.pretty_term ctxt;
  1295 
  1296     fun prt_let (xi, t) = Pretty.block
  1297       [Pretty.quote (prt_term (Var (xi, Term.fastype_of t))), Pretty.str " =", Pretty.brk 1,
  1298         Pretty.quote (prt_term t)];
  1299 
  1300     fun prt_asm (a, ts) = Pretty.block (Pretty.breaks
  1301       ((if a = "" then [] else [Pretty.str (a ^ ":")]) @ map (Pretty.quote o prt_term) ts));
  1302 
  1303     fun prt_sect _ _ _ [] = []
  1304       | prt_sect s sep prt xs =
  1305           [Pretty.block (Pretty.breaks (Pretty.str s ::
  1306             flat (separate sep (map (single o prt) xs))))];
  1307   in
  1308     Pretty.block (Pretty.fbreaks
  1309       (Pretty.str (name ^ ":") ::
  1310         prt_sect "fix" [] (Pretty.str o fst) fixes @
  1311         prt_sect "let" [Pretty.str "and"] prt_let
  1312           (map_filter (fn (xi, SOME t) => SOME (xi, t) | _ => NONE) lets) @
  1313         (if forall (null o #2) asms then []
  1314           else prt_sect "assume" [Pretty.str "and"] prt_asm asms) @
  1315         prt_sect "subcases:" [] (Pretty.str o fst) cs))
  1316   end;
  1317 
  1318 in
  1319 
  1320 fun pretty_cases ctxt =
  1321   let
  1322     fun add_case (_, (_, false)) = I
  1323       | add_case (name, (c as Rule_Cases.Case {fixes, ...}, true)) =
  1324           cons (name, (fixes, case_result c ctxt));
  1325     val cases = fold add_case (cases_of ctxt) [];
  1326   in
  1327     if null cases then []
  1328     else [Pretty.big_list "cases:" (map pretty_case cases)]
  1329   end;
  1330 
  1331 val print_cases = Pretty.writeln o Pretty.chunks o pretty_cases;
  1332 
  1333 end;
  1334 
  1335 
  1336 (* core context *)
  1337 
  1338 val debug = Unsynchronized.ref false;
  1339 val verbose = Unsynchronized.ref false;
  1340 
  1341 fun pretty_ctxt ctxt =
  1342   if not (! debug) then []
  1343   else
  1344     let
  1345       val prt_term = Syntax.pretty_term ctxt;
  1346 
  1347       (*structures*)
  1348       val {structs, ...} = Local_Syntax.idents_of (syntax_of ctxt);
  1349       val prt_structs =
  1350         if null structs then []
  1351         else [Pretty.block (Pretty.str "structures:" :: Pretty.brk 1 ::
  1352           Pretty.commas (map Pretty.str structs))];
  1353 
  1354       (*fixes*)
  1355       fun prt_fix (x, x') =
  1356         if x = x' then Pretty.str x
  1357         else Pretty.block [Pretty.str x, Pretty.str " =", Pretty.brk 1, prt_term (Syntax.free x')];
  1358       val fixes =
  1359         rev (filter_out ((can Name.dest_internal orf member (op =) structs) o #1)
  1360           (Variable.fixes_of ctxt));
  1361       val prt_fixes =
  1362         if null fixes then []
  1363         else [Pretty.block (Pretty.str "fixed variables:" :: Pretty.brk 1 ::
  1364           Pretty.commas (map prt_fix fixes))];
  1365 
  1366       (*prems*)
  1367       val prems = Assumption.all_prems_of ctxt;
  1368       val prt_prems =
  1369         if null prems then []
  1370         else [Pretty.big_list "prems:" (map (Display.pretty_thm ctxt) prems)];
  1371     in prt_structs @ prt_fixes @ prt_prems end;
  1372 
  1373 
  1374 (* main context *)
  1375 
  1376 fun pretty_context ctxt =
  1377   let
  1378     val is_verbose = ! verbose;
  1379     fun verb f x = if is_verbose then f (x ()) else [];
  1380 
  1381     val prt_term = Syntax.pretty_term ctxt;
  1382     val prt_typ = Syntax.pretty_typ ctxt;
  1383     val prt_sort = Syntax.pretty_sort ctxt;
  1384 
  1385     (*theory*)
  1386     val pretty_thy = Pretty.block
  1387       [Pretty.str "theory:", Pretty.brk 1, Context.pretty_thy (theory_of ctxt)];
  1388 
  1389     (*defaults*)
  1390     fun prt_atom prt prtT (x, X) = Pretty.block
  1391       [prt x, Pretty.str " ::", Pretty.brk 1, prtT X];
  1392 
  1393     fun prt_var (x, ~1) = prt_term (Syntax.free x)
  1394       | prt_var xi = prt_term (Syntax.var xi);
  1395 
  1396     fun prt_varT (x, ~1) = prt_typ (TFree (x, []))
  1397       | prt_varT xi = prt_typ (TVar (xi, []));
  1398 
  1399     val prt_defT = prt_atom prt_var prt_typ;
  1400     val prt_defS = prt_atom prt_varT prt_sort;
  1401 
  1402     val (types, sorts) = Variable.constraints_of ctxt;
  1403   in
  1404     verb single (K pretty_thy) @
  1405     pretty_ctxt ctxt @
  1406     verb (pretty_abbrevs false) (K ctxt) @
  1407     verb pretty_binds (K ctxt) @
  1408     verb pretty_lthms (K ctxt) @
  1409     verb pretty_cases (K ctxt) @
  1410     verb single (fn () => Pretty.big_list "type constraints:" (map prt_defT (Vartab.dest types))) @
  1411     verb single (fn () => Pretty.big_list "default sorts:" (map prt_defS (Vartab.dest sorts)))
  1412   end;
  1413 
  1414 end;
  1415 
  1416 val show_abbrevs = ProofContext.show_abbrevs;
  1417