src/Pure/display.ML
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(*  Title:      Pure/display.ML
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    Author:     Lawrence C Paulson, Cambridge University Computer Laboratory
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    Author:     Makarius
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Printing of theorems, results etc.
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*)
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signature BASIC_DISPLAY =
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sig
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  val show_consts: bool Config.T
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  val show_hyps_raw: Config.raw
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  val show_hyps: bool Config.T
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  val show_tags_raw: Config.raw
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  val show_tags: bool Config.T
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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_thm_raw: Proof.context -> {quote: bool, show_hyps: bool} -> thm -> Pretty.T
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  val pretty_thm: Proof.context -> thm -> Pretty.T
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  val pretty_thm_item: Proof.context -> thm -> Pretty.T
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  val pretty_thm_global: theory -> thm -> Pretty.T
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  val string_of_thm: Proof.context -> thm -> string
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  val string_of_thm_global: theory -> thm -> string
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  val pretty_full_theory: bool -> theory -> Pretty.T list
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end;
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structure Display: DISPLAY =
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struct
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(** options **)
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val show_consts = Goal_Display.show_consts;
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val show_hyps_raw = Config.declare ("show_hyps", @{here}) (fn _ => Config.Bool false);
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val show_hyps = Config.bool show_hyps_raw;
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val show_tags_raw = Config.declare ("show_tags", @{here}) (fn _ => Config.Bool false);
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val show_tags = Config.bool show_tags_raw;
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(** print thm **)
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fun pretty_tag (name, arg) = Pretty.strs [name, quote arg];
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val pretty_tags = Pretty.list "[" "]" o map pretty_tag;
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fun pretty_thm_raw ctxt {quote, show_hyps = show_hyps'} raw_th =
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  let
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    val show_tags = Config.get ctxt show_tags;
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    val show_hyps = Config.get ctxt show_hyps;
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    val th = Thm.strip_shyps raw_th;
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    val {hyps, tpairs, prop, ...} = Thm.rep_thm th;
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    val hyps' = if show_hyps then hyps else Thm.undeclared_hyps (Context.Proof ctxt) th;
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    val extra_shyps = Thm.extra_shyps th;
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    val tags = Thm.get_tags th;
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    val q = if quote then Pretty.quote else I;
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    val prt_term = q o Syntax.pretty_term ctxt;
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    val hlen = length extra_shyps + length hyps' + length tpairs;
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    val hsymbs =
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      if hlen = 0 then []
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      else if show_hyps orelse show_hyps' then
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        [Pretty.brk 2, Pretty.list "[" "]"
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          (map (q o Goal_Display.pretty_flexpair ctxt) tpairs @ map prt_term hyps' @
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           map (Syntax.pretty_sort ctxt) extra_shyps)]
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      else [Pretty.brk 2, Pretty.str ("[" ^ replicate_string hlen "." ^ "]")];
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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 pretty_thm ctxt = pretty_thm_raw ctxt {quote = false, show_hyps = true};
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fun pretty_thm_item ctxt th = Pretty.item [pretty_thm ctxt th];
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fun pretty_thm_global thy =
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  pretty_thm_raw (Syntax.init_pretty_global thy) {quote = false, show_hyps = false};
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val string_of_thm = Pretty.string_of oo pretty_thm;
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val string_of_thm_global = Pretty.string_of oo pretty_thm_global;
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(** print theory **)
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(* pretty_full_theory *)
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fun pretty_full_theory verbose thy =
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  let
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    val ctxt = Syntax.init_pretty_global thy;
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    fun prt_cls c = Syntax.pretty_sort ctxt [c];
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    fun prt_sort S = Syntax.pretty_sort ctxt S;
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    fun prt_arity t (c, Ss) = Syntax.pretty_arity ctxt (t, Ss, [c]);
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    fun prt_typ ty = Pretty.quote (Syntax.pretty_typ ctxt ty);
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    val prt_typ_no_tvars = prt_typ o Logic.unvarifyT_global;
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    fun prt_term t = Pretty.quote (Syntax.pretty_term ctxt t);
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    val prt_term_no_vars = prt_term o Logic.unvarify_global;
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    fun prt_const (c, ty) = [Pretty.mark_str c, Pretty.str " ::", Pretty.brk 1, prt_typ_no_tvars ty];
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    val prt_const' = Defs.pretty_const ctxt;
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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 :: 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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    val tfrees = map (fn v => TFree (v, []));
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    fun pretty_type syn (t, (Type.LogicalType n)) =
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          if syn then NONE
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          else SOME (prt_typ (Type (t, tfrees (Name.invent Name.context Name.aT n))))
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      | pretty_type syn (t, (Type.Abbreviation (vs, U, syn'))) =
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          if syn <> syn' then NONE
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          else SOME (Pretty.block
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            [prt_typ (Type (t, tfrees vs)), Pretty.str " =", Pretty.brk 1, prt_typ U])
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      | pretty_type syn (t, Type.Nonterminal) =
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          if not syn then NONE
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          else SOME (prt_typ (Type (t, [])));
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    val pretty_arities = maps (fn (t, ars) => map (prt_arity t) ars);
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    fun pretty_abbrev (c, (ty, t)) = Pretty.block
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      (prt_const (c, ty) @ [Pretty.str " ==", Pretty.brk 1, prt_term_no_vars t]);
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    fun pretty_axm (a, t) =
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      Pretty.block [Pretty.mark_str a, Pretty.str ":", Pretty.brk 1, prt_term_no_vars t];
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    fun pretty_finals reds = Pretty.block
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      (Pretty.str "final:" :: Pretty.brk 1 :: Pretty.commas (map (prt_const' o fst) reds));
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    fun pretty_reduct (lhs, rhs) = Pretty.block
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      ([prt_const' lhs, Pretty.str "  ->", Pretty.brk 2] @
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        Pretty.commas (map prt_const' (sort_by #1 rhs)));
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    fun pretty_restrict (const, name) =
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      Pretty.block ([prt_const' const, Pretty.brk 2, Pretty.str ("(from " ^ quote name ^ ")")]);
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    val defs = Theory.defs_of thy;
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    val {restricts, reducts} = Defs.dest defs;
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    val tsig = Sign.tsig_of thy;
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    val consts = Sign.consts_of thy;
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    val {const_space, constants, constraints} = Consts.dest consts;
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    val extern_const = Name_Space.extern ctxt const_space;
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    val {classes, default, types, ...} = Type.rep_tsig tsig;
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    val (class_space, class_algebra) = classes;
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    val classes = Sorts.classes_of class_algebra;
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    val arities = Sorts.arities_of class_algebra;
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    val clsses =
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      Name_Space.extern_entries verbose ctxt class_space
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        (map (fn ((c, _), cs) => (c, Sign.minimize_sort thy cs)) (Graph.dest classes))
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      |> map (apfst #1);
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    val tdecls = Name_Space.extern_table verbose ctxt types |> map (apfst #1);
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    val arties =
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      Name_Space.extern_entries verbose ctxt (Type.type_space tsig) (Symtab.dest arities)
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      |> map (apfst #1);
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    val cnsts = Name_Space.markup_entries verbose ctxt const_space constants;
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    val log_cnsts = map_filter (fn (c, (ty, NONE)) => SOME (c, ty) | _ => NONE) cnsts;
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    val abbrevs = map_filter (fn (c, (ty, SOME t)) => SOME (c, (ty, t)) | _ => NONE) cnsts;
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    val cnstrs = Name_Space.markup_entries verbose ctxt const_space constraints;
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    val axms = Name_Space.markup_table verbose ctxt (Theory.axiom_table thy);
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    fun prune_const c = not verbose andalso Consts.is_concealed consts c;
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    val (reds0, (reds1, reds2)) = filter_out (prune_const o fst o fst) reducts
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      |> map (fn (lhs, rhs) =>
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        (apfst extern_const lhs, map (apfst extern_const) (filter_out (prune_const o fst) rhs)))
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      |> sort_by (#1 o #1)
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      |> List.partition (null o #2)
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      ||> List.partition (Defs.plain_args o #2 o #1);
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    val rests = restricts |> map (apfst (apfst extern_const)) |> sort_by (#1 o #1);
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  in
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    [Pretty.strs ("names:" :: Context.display_names thy)] @
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    [Pretty.big_list "classes:" (map pretty_classrel clsses),
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      pretty_default default,
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      Pretty.big_list "syntactic types:" (map_filter (pretty_type true) tdecls),
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      Pretty.big_list "logical types:" (map_filter (pretty_type false) tdecls),
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      Pretty.big_list "type arities:" (pretty_arities arties),
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      Pretty.big_list "logical consts:" (map (Pretty.block o prt_const) log_cnsts),
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      Pretty.big_list "abbreviations:" (map pretty_abbrev abbrevs),
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      Pretty.big_list "constraints:" (map (Pretty.block o prt_const) cnstrs),
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      Pretty.big_list "axioms:" (map pretty_axm axms),
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      Pretty.block
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        (Pretty.breaks (Pretty.str "oracles:" ::
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          map Pretty.mark_str (Thm.extern_oracles verbose ctxt))),
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      Pretty.big_list "definitions:"
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        [pretty_finals reds0,
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         Pretty.big_list "non-overloaded:" (map pretty_reduct reds1),
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         Pretty.big_list "overloaded:" (map pretty_reduct reds2),
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         Pretty.big_list "pattern restrictions:" (map pretty_restrict rests)]]
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  end;
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end;
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structure Basic_Display: BASIC_DISPLAY = Display;
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open Basic_Display;