src/Pure/display.ML
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pretty_thm/goals_aux, pretty_flexpair: pp;
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(*  Title:      Pure/display.ML
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    ID:         $Id$
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    Author:     Lawrence C Paulson, Cambridge University Computer Laboratory
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    Copyright   1993  University of Cambridge
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Printing of theories, theorems, etc.
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*)
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signature BASIC_DISPLAY =
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sig
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  val goals_limit: int ref
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  val show_hyps: bool ref
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  val show_tags: bool ref
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  val string_of_thm: thm -> string
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  val print_thm: thm -> unit
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  val print_thms: thm list -> unit
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  val prth: thm -> thm
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  val prthq: thm Seq.seq -> thm Seq.seq
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  val prths: thm list -> thm list
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  val string_of_ctyp: ctyp -> string
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  val print_ctyp: ctyp -> unit
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  val string_of_cterm: cterm -> string
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  val print_cterm: cterm -> unit
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  val print_syntax: theory -> unit
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  val show_consts: bool ref
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end;
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signature DISPLAY =
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sig
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  include BASIC_DISPLAY
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  val pretty_flexpair: Pretty.pp -> term * term -> Pretty.T
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  val pretty_thm_aux: Pretty.pp -> bool -> thm -> Pretty.T
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  val pretty_thm_no_quote: thm -> Pretty.T
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  val pretty_thm: thm -> Pretty.T
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  val pretty_thms: thm list -> Pretty.T
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  val pretty_thm_sg: Sign.sg -> thm -> Pretty.T
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  val pretty_thms_sg: Sign.sg -> thm list -> Pretty.T
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  val pprint_thm: thm -> pprint_args -> unit
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  val pretty_ctyp: ctyp -> Pretty.T
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  val pprint_ctyp: ctyp -> pprint_args -> unit
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  val pretty_cterm: cterm -> Pretty.T
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  val pprint_cterm: cterm -> pprint_args -> unit
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  val pretty_theory: theory -> Pretty.T
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  val pprint_theory: theory -> pprint_args -> unit
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  val pretty_full_theory: theory -> Pretty.T list
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  val pretty_name_space: string * NameSpace.T -> Pretty.T
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  val pretty_goals_aux: Pretty.pp -> string -> bool * bool -> int -> thm -> Pretty.T list
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  val pretty_goals: int -> thm -> Pretty.T list
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  val print_goals: int -> thm -> unit
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  val current_goals_markers: (string * string * string) ref
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  val pretty_current_goals: int -> int -> thm -> Pretty.T list
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  val print_current_goals_default: int -> int -> thm -> unit
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  val print_current_goals_fn: (int -> int -> thm -> unit) ref
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end;
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structure Display: DISPLAY =
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struct
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(** print thm **)
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val goals_limit = ref 10;       (*max number of goals to print -- set by user*)
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val show_hyps = ref false;      (*false: print meta-hypotheses as dots*)
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val show_tags = ref false;      (*false: suppress tags*)
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fun pretty_tag (name, args) = Pretty.strs (name :: map Library.quote args);
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val pretty_tags = Pretty.list "[" "]" o map pretty_tag;
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fun pretty_flexpair pp (t, u) = Pretty.block
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  [Pretty.term pp t, Pretty.str " =?=", Pretty.brk 1, Pretty.term pp u];
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fun pretty_thm_aux pp quote th =
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  let
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    val {hyps, tpairs, prop, der = (ora, _), ...} = rep_thm th;
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    val xshyps = Thm.extra_shyps th;
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    val (_, tags) = Thm.get_name_tags th;
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    val q = if quote then Pretty.quote else I;
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    val prt_term = q o (Pretty.term pp);
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    val hlen = length xshyps + length hyps + length tpairs;
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    val hsymbs =
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      if hlen = 0 andalso not ora then []
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      else if ! show_hyps then
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        [Pretty.brk 2, Pretty.list "[" "]"
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          (map (q o pretty_flexpair pp) tpairs @ map prt_term hyps @
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           map (Pretty.sort pp) xshyps @
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            (if ora then [Pretty.str "!"] else []))]
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      else [Pretty.brk 2, Pretty.str ("[" ^ implode (replicate hlen ".") ^
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        (if ora then "!" else "") ^ "]")];
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    val tsymbs =
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      if null tags orelse not (! show_tags) then []
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      else [Pretty.brk 1, pretty_tags tags];
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  in Pretty.block (prt_term prop :: (hsymbs @ tsymbs)) end;
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fun gen_pretty_thm quote th =
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  pretty_thm_aux (Sign.pp (Thm.sign_of_thm th)) quote th;
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val pretty_thm = gen_pretty_thm true;
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val pretty_thm_no_quote = gen_pretty_thm false;
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val string_of_thm = Pretty.string_of o pretty_thm;
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val pprint_thm = Pretty.pprint o pretty_thm;
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fun pretty_thms [th] = pretty_thm th
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  | pretty_thms ths = Pretty.block (Pretty.fbreaks (map pretty_thm ths));
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val pretty_thm_sg = pretty_thm oo Thm.transfer_sg;
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val pretty_thms_sg = pretty_thms oo (map o Thm.transfer_sg);
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(* top-level commands for printing theorems *)
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val print_thm = Pretty.writeln o pretty_thm;
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val print_thms = Pretty.writeln o pretty_thms;
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fun prth th = (print_thm th; th);
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(*Print and return a sequence of theorems, separated by blank lines. *)
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fun prthq thseq =
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  (Seq.print (fn _ => print_thm) 100000 thseq; thseq);
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(*Print and return a list of theorems, separated by blank lines. *)
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fun prths ths = (seq (fn th => (print_thm th; writeln "")) ths; ths);
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(* other printing commands *)
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fun pretty_ctyp cT =
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  let val {sign, T} = rep_ctyp cT in Sign.pretty_typ sign T end;
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fun pprint_ctyp cT =
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  let val {sign, T} = rep_ctyp cT in Sign.pprint_typ sign T end;
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fun string_of_ctyp cT =
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  let val {sign, T} = rep_ctyp cT in Sign.string_of_typ sign T end;
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val print_ctyp = writeln o string_of_ctyp;
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fun pretty_cterm ct =
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  let val {sign, t, ...} = rep_cterm ct in Sign.pretty_term sign t end;
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fun pprint_cterm ct =
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  let val {sign, t, ...} = rep_cterm ct in Sign.pprint_term sign t end;
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fun string_of_cterm ct =
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  let val {sign, t, ...} = rep_cterm ct in Sign.string_of_term sign t end;
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val print_cterm = writeln o string_of_cterm;
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(** print theory **)
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val pretty_theory = Sign.pretty_sg o Theory.sign_of;
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val pprint_theory = Sign.pprint_sg o Theory.sign_of;
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val print_syntax = Syntax.print_syntax o Theory.syn_of;
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(* pretty_name_space  *)
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fun pretty_name_space (kind, space) =
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  let
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    fun prt_entry (name, accs) = Pretty.block
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      (Pretty.str (Library.quote name ^ " =") :: Pretty.brk 1 ::
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        Pretty.commas (map (Pretty.quote o Pretty.str) accs));
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  in
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    Pretty.fbreaks (Pretty.str (kind ^ ":") :: map prt_entry (NameSpace.dest space))
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    |> Pretty.block
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  end;
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(* pretty_full_theory *)
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fun pretty_full_theory thy =
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  let
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    val sg = Theory.sign_of thy;
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    fun prt_cls c = Sign.pretty_sort sg [c];
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    fun prt_sort S = Sign.pretty_sort sg S;
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    fun prt_arity t (c, Ss) = Sign.pretty_arity sg (t, Ss, [c]);
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    fun prt_typ_no_tvars ty = Pretty.quote (Sign.pretty_typ sg (#1 (Type.freeze_thaw_type ty)));
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    fun prt_term t = Pretty.quote (Sign.pretty_term sg t);
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    fun pretty_classrel (c, []) = prt_cls c
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      | pretty_classrel (c, cs) = Pretty.block
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          (prt_cls c :: Pretty.str " <" :: Pretty.brk 1 ::
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            Pretty.commas (map prt_cls cs));
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    fun pretty_default S = Pretty.block
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      [Pretty.str "default sort:", Pretty.brk 1, prt_sort S];
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    fun pretty_ty (t, n) = Pretty.block
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      [Pretty.str t, Pretty.brk 1, Pretty.str (string_of_int n)];
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    fun pretty_witness None = Pretty.str "universal non-emptiness witness: --"
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      | pretty_witness (Some (T, S)) = Pretty.block
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          [Pretty.str "universal non-emptiness witness:", Pretty.brk 1,
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            prt_typ_no_tvars T, Pretty.str " ::", Pretty.brk 1, prt_sort S];
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    fun pretty_nonterminals ts = Pretty.block
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      (Pretty.breaks (Pretty.str "syntactic types:" :: map Pretty.str ts));
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    fun pretty_abbr (t, (vs, rhs)) = Pretty.block
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      [prt_typ_no_tvars (Type (t, map (fn v => TVar ((v, 0), [])) vs)),
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        Pretty.str " =", Pretty.brk 1, prt_typ_no_tvars rhs];
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    fun pretty_arities (t, ars) = map (prt_arity t) ars;
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    fun pretty_final (c:string, tys:typ list) = Pretty.block
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      ([Pretty.str c, Pretty.str " ::", Pretty.brk 1] @
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         (if null tys then [Pretty.str "<all instances>"]
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	  else Pretty.commas (map prt_typ_no_tvars tys)));
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    fun pretty_const (c, (ty, _)) = Pretty.block
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      [Pretty.str c, Pretty.str " ::", Pretty.brk 1, prt_typ_no_tvars ty];
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    fun prt_axm (a, t) = Pretty.block [Pretty.str (a ^ ":"), Pretty.brk 1, prt_term t];
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    val {self = _, tsig, consts, path, spaces, data} = Sign.rep_sg sg;
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    val {axioms, oracles, ...} = Theory.rep_theory thy;
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    val spaces' = Library.sort_wrt fst spaces;
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    val {classes, default, types, arities, log_types = _, witness} = Type.rep_tsig tsig;
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    val tdecls = Symtab.dest types |>
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      map (fn (t, (decl, _)) => (Sign.cond_extern sg Sign.typeK t, decl));
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    val tycons = mapfilter (fn (t, Type.LogicalType n) => Some (t, n) | _ => None) tdecls;
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    val abbrs = mapfilter (fn (t, Type.Abbreviation u) => Some (t, u) | _ => None) tdecls;
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    val nonterminals = mapfilter (fn (t, Type.Nonterminal) => Some t | _ => None) tdecls;
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    val finals = Symtab.dest (#final_consts (Theory.rep_theory thy));
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    val cnsts = Sign.cond_extern_table sg Sign.constK consts;
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    val axms = Sign.cond_extern_table sg Theory.axiomK axioms;
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    val oras = Sign.cond_extern_table sg Theory.oracleK oracles;
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  in
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    [Pretty.strs ("stamps:" :: Sign.stamp_names_of sg),
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      Pretty.strs ("data:" :: Sign.data_kinds data),
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      Pretty.strs ["name prefix:", NameSpace.pack (if_none path ["-"])],
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      Pretty.big_list "name spaces:" (map pretty_name_space spaces'),
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      Pretty.big_list "classes:" (map pretty_classrel (Graph.dest classes)),
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      pretty_default default,
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      pretty_witness witness,
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      Pretty.big_list "logical type constructors:" (map pretty_ty tycons),
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      Pretty.big_list "type abbreviations:" (map pretty_abbr abbrs),
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      pretty_nonterminals nonterminals,
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      Pretty.big_list "type arities:" (flat (map pretty_arities (Symtab.dest arities))),
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      Pretty.big_list "consts:" (map pretty_const cnsts),
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      Pretty.big_list "finals:" (map pretty_final finals),
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      Pretty.big_list "axioms:" (map prt_axm axms),
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      Pretty.strs ("oracles:" :: (map #1 oras))]
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  end;
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(** print_goals **)
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(* print_goals etc. *)
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(*show consts with types in proof state output?*)
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val show_consts = ref false;
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(*print thm A1,...,An/B in "goal style" -- premises as numbered subgoals*)
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local
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fun ins_entry (x, y) [] = [(x, [y])]
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  | ins_entry (x, y) ((pair as (x', ys')) :: pairs) =
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      if x = x' then (x', y ins ys') :: pairs
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      else pair :: ins_entry (x, y) pairs;
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fun add_consts (Const (c, T), env) = ins_entry (T, (c, T)) env
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  | add_consts (t $ u, env) = add_consts (u, add_consts (t, env))
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  | add_consts (Abs (_, _, t), env) = add_consts (t, env)
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  | add_consts (_, env) = env;
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fun add_vars (Free (x, T), env) = ins_entry (T, (x, ~1)) env
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  | add_vars (Var (xi, T), env) = ins_entry (T, xi) env
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  | add_vars (Abs (_, _, t), env) = add_vars (t, env)
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  | add_vars (t $ u, env) = add_vars (u, add_vars (t, env))
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  | add_vars (_, env) = env;
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fun add_varsT (Type (_, Ts), env) = foldr add_varsT (Ts, env)
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  | add_varsT (TFree (x, S), env) = ins_entry (S, (x, ~1)) env
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  | add_varsT (TVar (xi, S), env) = ins_entry (S, xi) env;
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fun sort_idxs vs = map (apsnd (sort (prod_ord String.compare Int.compare))) vs;
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fun sort_cnsts cs = map (apsnd (sort_wrt fst)) cs;
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fun consts_of t = sort_cnsts (add_consts (t, []));
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fun vars_of t = sort_idxs (add_vars (t, []));
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fun varsT_of t = rev (sort_idxs (it_term_types add_varsT (t, [])));
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in
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fun pretty_goals_aux pp begin_goal (msg, main) maxgoals state =
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  let
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    fun prt_atoms prt prtT (X, xs) = Pretty.block
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      [Pretty.block (Pretty.commas (map prt xs)), Pretty.str " ::",
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        Pretty.brk 1, prtT X];
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    fun prt_var (x, ~1) = Pretty.term pp (Syntax.free x)
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      | prt_var xi = Pretty.term pp (Syntax.var xi);
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    fun prt_varT (x, ~1) = Pretty.typ pp (TFree (x, []))
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      | prt_varT xi = Pretty.typ pp (TVar (xi, []));
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    val prt_consts = prt_atoms (Pretty.term pp o Const) (Pretty.typ pp);
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    val prt_vars = prt_atoms prt_var (Pretty.typ pp);
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    val prt_varsT = prt_atoms prt_varT (Pretty.sort pp);
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    fun pretty_list _ _ [] = []
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      | pretty_list name prt lst = [Pretty.big_list name (map prt lst)];
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    fun pretty_subgoal (n, A) = Pretty.blk (0,
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     [Pretty.str (begin_goal ^ " " ^ string_of_int n ^ ". "), Pretty.term pp A]);
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    fun pretty_subgoals As = map pretty_subgoal (1 upto length As ~~ As);
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    val pretty_ffpairs = pretty_list "flex-flex pairs:" (pretty_flexpair pp);
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    val pretty_consts = pretty_list "constants:" prt_consts o consts_of;
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    val pretty_vars = pretty_list "variables:" prt_vars o vars_of;
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    val pretty_varsT = pretty_list "type variables:" prt_varsT o varsT_of;
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    val {prop, tpairs, ...} = rep_thm state;
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    val (As, B) = Logic.strip_horn prop;
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    val ngoals = length As;
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    fun pretty_gs (types, sorts) =
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      (if main then [Pretty.term pp B] else []) @
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       (if ngoals = 0 then [Pretty.str "No subgoals!"]
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        else if ngoals > maxgoals then
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          pretty_subgoals (take (maxgoals, As)) @
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          (if msg then [Pretty.str ("A total of " ^ string_of_int ngoals ^ " subgoals...")]
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           else [])
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        else pretty_subgoals As) @
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      pretty_ffpairs tpairs @
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      (if ! show_consts then pretty_consts prop else []) @
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      (if types then pretty_vars prop else []) @
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      (if sorts then pretty_varsT prop else []);
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  in
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    setmp show_no_free_types true
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      (setmp show_types (! show_types orelse ! show_sorts orelse ! show_all_types)
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        (setmp show_sorts false pretty_gs))
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   (! show_types orelse ! show_sorts orelse ! show_all_types, ! show_sorts)
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  end;
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fun pretty_goals_marker bg n th =
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  pretty_goals_aux (Sign.pp (Thm.sign_of_thm th)) bg (true, true) n th;
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val pretty_goals = pretty_goals_marker "";
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val print_goals = (Pretty.writeln o Pretty.chunks) oo pretty_goals_marker "";
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end;
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(* print_current_goals *)
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val current_goals_markers = ref ("", "", "");
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fun pretty_current_goals n m th =
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  let
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    val ref (begin_state, end_state, begin_goal) = current_goals_markers;
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    val ngoals = nprems_of th;
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  in
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    (if begin_state = "" then [] else [Pretty.str begin_state]) @
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    [Pretty.str ("Level " ^ string_of_int n ^
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      (if ngoals > 0 then " (" ^ string_of_int ngoals ^ " subgoal" ^
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        (if ngoals <> 1 then "s" else "") ^ ")"
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      else ""))] @
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    pretty_goals_marker begin_goal m th @
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    (if end_state = "" then [] else [Pretty.str end_state])
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  end;
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fun print_current_goals_default n m th =
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  Pretty.writeln (Pretty.chunks (pretty_current_goals n m th));
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val print_current_goals_fn = ref print_current_goals_default;
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end;
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structure BasicDisplay: BASIC_DISPLAY = Display;
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open BasicDisplay;