src/Pure/Isar/context_rules.ML
author blanchet
Fri, 01 Aug 2014 14:43:57 +0200
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child 59058 a78612c67ec0
permissions -rw-r--r--
pushing skolems under 'iff' sometimes breaks things further down the proof (as was to be feared)
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(*  Title:      Pure/Isar/context_rules.ML
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    Author:     Stefan Berghofer and Markus Wenzel, TU Muenchen
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Declarations of intro/elim/dest rules in Pure (see also
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Provers/classical.ML for a more specialized version of the same idea).
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*)
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signature CONTEXT_RULES =
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sig
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  type netpair = ((int * int) * (bool * thm)) Net.net * ((int * int) * (bool * thm)) Net.net
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  val netpair_bang: Proof.context -> netpair
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  val netpair: Proof.context -> netpair
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  val orderlist: ((int * int) * 'a) list -> 'a list
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  val find_rules_netpair: bool -> thm list -> term -> netpair -> thm list
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  val find_rules: bool -> thm list -> term -> Proof.context -> thm list list
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  val print_rules: Proof.context -> unit
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  val addSWrapper: (Proof.context -> (int -> tactic) -> int -> tactic) -> theory -> theory
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  val addWrapper: (Proof.context -> (int -> tactic) -> int -> tactic) -> theory -> theory
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  val Swrap: Proof.context -> (int -> tactic) -> int -> tactic
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  val wrap: Proof.context -> (int -> tactic) -> int -> tactic
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  val intro_bang: int option -> attribute
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  val elim_bang: int option -> attribute
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  val dest_bang: int option -> attribute
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  val intro: int option -> attribute
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  val elim: int option -> attribute
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  val dest: int option -> attribute
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  val intro_query: int option -> attribute
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  val elim_query: int option -> attribute
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  val dest_query: int option -> attribute
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  val rule_del: attribute
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  val add: (int option -> attribute) -> (int option -> attribute) -> (int option -> attribute) ->
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    attribute context_parser
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end;
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structure Context_Rules: CONTEXT_RULES =
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struct
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(** rule declaration contexts **)
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(* rule kinds *)
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val intro_bangK = (0, false);
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val elim_bangK = (0, true);
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val introK = (1, false);
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val elimK = (1, true);
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val intro_queryK = (2, false);
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val elim_queryK = (2, true);
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val kind_names =
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 [(intro_bangK, "safe introduction rules (intro!)"),
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  (elim_bangK, "safe elimination rules (elim!)"),
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  (introK, "introduction rules (intro)"),
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  (elimK, "elimination rules (elim)"),
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  (intro_queryK, "extra introduction rules (intro?)"),
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  (elim_queryK, "extra elimination rules (elim?)")];
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val rule_kinds = map #1 kind_names;
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val rule_indexes = distinct (op =) (map #1 rule_kinds);
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(* context data *)
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type netpair = ((int * int) * (bool * thm)) Net.net * ((int * int) * (bool * thm)) Net.net;
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val empty_netpairs: netpair list = replicate (length rule_indexes) (Net.empty, Net.empty);
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datatype rules = Rules of
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 {next: int,
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  rules: (int * ((int * bool) * thm)) list,
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  netpairs: netpair list,
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  wrappers:
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    ((Proof.context -> (int -> tactic) -> int -> tactic) * stamp) list *
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    ((Proof.context -> (int -> tactic) -> int -> tactic) * stamp) list};
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fun make_rules next rules netpairs wrappers =
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  Rules {next = next, rules = rules, netpairs = netpairs, wrappers = wrappers};
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fun add_rule (i, b) opt_w th (Rules {next, rules, netpairs, wrappers}) =
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  let val w = (case opt_w of SOME w => w | NONE => Tactic.subgoals_of_brl (b, th)) in
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    make_rules (next - 1) ((w, ((i, b), th)) :: rules)
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      (nth_map i (Tactic.insert_tagged_brl ((w, next), (b, th))) netpairs) wrappers
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  end;
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fun del_rule0 th (rs as Rules {next, rules, netpairs, wrappers}) =
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  let
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    fun eq_th (_, (_, th')) = Thm.eq_thm_prop (th, th');
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    fun del b netpair = Tactic.delete_tagged_brl (b, th) netpair handle Net.DELETE => netpair;
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  in
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    if not (exists eq_th rules) then rs
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    else make_rules next (filter_out eq_th rules) (map (del false o del true) netpairs) wrappers
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  end;
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fun del_rule th = del_rule0 th o del_rule0 (Tactic.make_elim th);
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structure Rules = Generic_Data
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(
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  type T = rules;
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  val empty = make_rules ~1 [] empty_netpairs ([], []);
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  val extend = I;
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  fun merge
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    (Rules {rules = rules1, wrappers = (ws1, ws1'), ...},
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      Rules {rules = rules2, wrappers = (ws2, ws2'), ...}) =
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    let
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      val wrappers =
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        (Library.merge (eq_snd (op =)) (ws1, ws2), Library.merge (eq_snd (op =)) (ws1', ws2'));
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      val rules = Library.merge (fn ((_, (k1, th1)), (_, (k2, th2))) =>
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          k1 = k2 andalso Thm.eq_thm_prop (th1, th2)) (rules1, rules2);
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      val next = ~ (length rules);
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      val netpairs = fold (fn (n, (w, ((i, b), th))) =>
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          nth_map i (Tactic.insert_tagged_brl ((w, n), (b, th))))
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        (next upto ~1 ~~ rules) empty_netpairs;
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    in make_rules (next - 1) rules netpairs wrappers end;
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);
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fun print_rules ctxt =
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  let
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    val Rules {rules, ...} = Rules.get (Context.Proof ctxt);
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    fun prt_kind (i, b) =
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      Pretty.big_list ((the o AList.lookup (op =) kind_names) (i, b) ^ ":")
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        (map_filter (fn (_, (k, th)) =>
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            if k = (i, b) then SOME (Display.pretty_thm_item ctxt th) else NONE)
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          (sort (int_ord o pairself fst) rules));
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  in Pretty.writeln_chunks (map prt_kind rule_kinds) end;
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(* access data *)
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fun netpairs ctxt = let val Rules {netpairs, ...} = Rules.get (Context.Proof ctxt) in netpairs end;
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val netpair_bang = hd o netpairs;
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val netpair = hd o tl o netpairs;
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(* retrieving rules *)
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fun untaglist [] = []
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  | untaglist [(_ : int * int, x)] = [x]
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  | untaglist ((k, x) :: (rest as (k', _) :: _)) =
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      if k = k' then untaglist rest
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      else x :: untaglist rest;
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fun orderlist brls =
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  untaglist (sort (prod_ord int_ord int_ord o pairself fst) brls);
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fun orderlist_no_weight brls =
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  untaglist (sort (int_ord o pairself (snd o fst)) brls);
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fun may_unify weighted t net =
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  map snd ((if weighted then orderlist else orderlist_no_weight) (Net.unify_term net t));
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fun find_erules _ [] = K []
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  | find_erules w (fact :: _) = may_unify w (Logic.strip_assums_concl (Thm.prop_of fact));
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fun find_irules w goal = may_unify w (Logic.strip_assums_concl goal);
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fun find_rules_netpair weighted facts goal (inet, enet) =
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  find_erules weighted facts enet @ find_irules weighted goal inet;
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fun find_rules weighted facts goals =
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  map (find_rules_netpair weighted facts goals) o netpairs;
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(* wrappers *)
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fun gen_add_wrapper upd w =
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  Context.theory_map (Rules.map (fn Rules {next, rules, netpairs, wrappers} =>
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    make_rules next rules netpairs (upd (fn ws => (w, stamp ()) :: ws) wrappers)));
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val addSWrapper = gen_add_wrapper Library.apfst;
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val addWrapper = gen_add_wrapper Library.apsnd;
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fun gen_wrap which ctxt =
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  let val Rules {wrappers, ...} = Rules.get (Context.Proof ctxt)
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  in fold_rev (fn (w, _) => w ctxt) (which wrappers) end;
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val Swrap = gen_wrap #1;
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val wrap = gen_wrap #2;
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(** attributes **)
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(* add and del rules *)
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val rule_del = Thm.declaration_attribute (fn th => Rules.map (del_rule th));
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fun rule_add k view opt_w =
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  Thm.declaration_attribute (fn th => Rules.map (add_rule k opt_w (view th) o del_rule th));
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val intro_bang  = rule_add intro_bangK I;
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val elim_bang   = rule_add elim_bangK I;
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val dest_bang   = rule_add elim_bangK Tactic.make_elim;
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val intro       = rule_add introK I;
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val elim        = rule_add elimK I;
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val dest        = rule_add elimK Tactic.make_elim;
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val intro_query = rule_add intro_queryK I;
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val elim_query  = rule_add elim_queryK I;
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val dest_query  = rule_add elim_queryK Tactic.make_elim;
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val _ = Theory.setup
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  (snd o Global_Theory.add_thms [((Binding.empty, Drule.equal_intr_rule), [intro_query NONE])]);
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(* concrete syntax *)
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fun add a b c x =
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  (Scan.lift ((Args.bang >> K a || Args.query >> K c || Scan.succeed b) --
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    Scan.option Parse.nat) >> (fn (f, n) => f n)) x;
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val _ = Theory.setup
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 (Attrib.setup @{binding intro} (add intro_bang intro intro_query)
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    "declaration of introduction rule" #>
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  Attrib.setup @{binding elim} (add elim_bang elim elim_query)
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    "declaration of elimination rule" #>
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  Attrib.setup @{binding dest} (add dest_bang dest dest_query)
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    "declaration of destruction rule" #>
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  Attrib.setup @{binding rule} (Scan.lift Args.del >> K rule_del)
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    "remove declaration of intro/elim/dest rule");
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end;