src/Pure/goals.ML
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(*  Title: 	Pure/goals.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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Goal stack package.  The goal stack initially holds a dummy proof, and can
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never become empty.  Each goal stack consists of a list of levels.  The
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undo list is a list of goal stacks.  Finally, there may be a stack of
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pending proofs.
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*)
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signature GOALS =
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  sig
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  type proof
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  val reset_goals       : unit -> unit
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  val atomic_goal	: theory -> string -> thm list
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  val atomic_goalw	: theory -> thm list -> string -> thm list
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  val Goal		: string -> thm list
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  val Goalw		: thm list -> string -> thm list
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  val ba		: int -> unit
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  val back		: unit -> unit
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  val bd		: thm -> int -> unit
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  val bds		: thm list -> int -> unit
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  val be		: thm -> int -> unit
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  val bes		: thm list -> int -> unit
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  val br		: thm -> int -> unit
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  val brs		: thm list -> int -> unit
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  val bw		: thm -> unit
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  val bws		: thm list -> unit
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  val by		: tactic -> unit
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  val byev		: tactic list -> unit
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  val chop		: unit -> unit
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  val choplev		: int -> unit
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  val export_thy        : theory -> thm -> thm
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  val export            : thm -> thm
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  val Export		: thm -> thm
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  val fa		: unit -> unit
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  val fd		: thm -> unit
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  val fds		: thm list -> unit
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  val fe		: thm -> unit
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  val fes		: thm list -> unit
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  val filter_goal	: (term*term->bool) -> thm list -> int -> thm list
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  val fr		: thm -> unit
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  val frs		: thm list -> unit
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  val getgoal		: int -> term
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  val gethyps		: int -> thm list
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  val goal		: theory -> string -> thm list
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  val goalw		: theory -> thm list -> string -> thm list
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  val goalw_cterm	: thm list -> cterm -> thm list
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  val current_goals_markers: (string * string * string) ref
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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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  val pop_proof		: unit -> thm list
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  val pr		: unit -> unit
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  val disable_pr        : unit -> unit
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  val enable_pr         : unit -> unit
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  val prlev		: int -> unit
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  val prlim		: int -> unit
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  val premises		: unit -> thm list
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  val prin		: term -> unit
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  val printyp		: typ -> unit
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  val pprint_term	: term -> pprint_args -> unit
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  val pprint_typ	: typ -> pprint_args -> unit
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  val print_exn		: exn -> 'a
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  val print_sign_exn	: Sign.sg -> exn -> 'a
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  val prove_goal	: theory -> string -> (thm list -> tactic list) -> thm
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  val prove_goalw      : theory->thm list->string->(thm list->tactic list)->thm
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  val prove_goalw_cterm	: thm list->cterm->(thm list->tactic list)->thm
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  val prove_goalw_cterm_nocheck	: thm list->cterm->(thm list->tactic list)->thm
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  val push_proof	: unit -> unit
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  val read		: string -> term
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  val ren		: string -> int -> unit
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  val restore_proof	: proof -> thm list
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  val result		: unit -> thm  
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  val result_error_fn   : (thm -> string -> thm) ref
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  val rotate_proof	: unit -> thm list
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  val uresult		: unit -> thm  
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  val save_proof	: unit -> proof
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  val topthm		: unit -> thm
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  val undo		: unit -> unit
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  end;
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structure Goals : GOALS =
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struct
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(*Each level of goal stack includes a proof state and alternative states,
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  the output of the tactic applied to the preceeding level.  *)
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type gstack = (thm * thm Seq.seq) list;
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datatype proof = Proof of gstack list * thm list * (bool*thm->thm);
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(*** References ***)
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(*Current assumption list -- set by "goal".*)
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val curr_prems = ref([] : thm list);
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(*Return assumption list -- useful if you didn't save "goal"'s result. *)
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fun premises() = !curr_prems;
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(*Current result maker -- set by "goal", used by "result".  *)
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fun init_mkresult _ = error "No goal has been supplied in subgoal module";
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val curr_mkresult = ref (init_mkresult: bool*thm->thm);
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val dummy = trivial(read_cterm (Theory.sign_of ProtoPure.thy)
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    ("PROP No_goal_has_been_supplied",propT));
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(*List of previous goal stacks, for the undo operation.  Set by setstate. 
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  A list of lists!*)
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val undo_list = ref([[(dummy, Seq.empty)]] : gstack list);
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(* Stack of proof attempts *)
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val proofstack = ref([]: proof list);
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(*reset all refs*)
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fun reset_goals () =
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  (curr_prems := []; curr_mkresult := init_mkresult;
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    undo_list := [[(dummy, Seq.empty)]]);
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(*** Setting up goal-directed proof ***)
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(*Generates the list of new theories when the proof state's signature changes*)
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fun sign_error (sign,sign') =
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  let val names = Sign.stamp_names_of sign' \\ Sign.stamp_names_of sign
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  in  case names of
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        [name] => "\nNew theory: " ^ name
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      | _       => "\nNew theories: " ^ space_implode ", " names
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  end;
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(*Default action is to print an error message; could be suppressed for
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  special applications.*)
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fun result_error_default state msg : thm =
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 (writeln "Bad final proof state:";
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  print_goals (!goals_limit) state;
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  writeln msg; raise ERROR);
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val result_error_fn = ref result_error_default;
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(* alternative to standard: this function does not discharge the hypotheses
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   first. Is used for locales, in the following function prepare_proof *)
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fun varify th =
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  let val {maxidx,...} = rep_thm th
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  in
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    th |> forall_intr_frees |> forall_elim_vars (maxidx + 1)
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       |> Drule.strip_shyps_warning
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       |> zero_var_indexes |> Thm.varifyT |> Thm.compress
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  end;
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(** exporting a theorem out of a locale means turning all meta-hyps into assumptions
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    and expand and cancel the locale definitions. 
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    export goes through all levels in case of nested locales, whereas
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    export_thy just goes one up. **)
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fun get_top_scope_thms thy = 
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   let val sc = (Locale.get_scope_sg (Theory.sign_of thy))
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   in if (null sc) then (warning "No locale in theory"; [])
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      else map (#prop o rep_thm) (map #2 (#thms(snd(hd sc))))
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   end;
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fun implies_intr_some_hyps thy A_set th = 
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   let 
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       val sign = Theory.sign_of thy;
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       val used_As = A_set inter #hyps(rep_thm(th));
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       val ctl = map (cterm_of sign) used_As
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   in foldl (fn (x, y) => Thm.implies_intr y x) (th, ctl)
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   end; 
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fun standard_some thy A_set th =
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  let val {maxidx,...} = rep_thm th
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  in
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    th |> implies_intr_some_hyps thy A_set
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       |> forall_intr_frees |> forall_elim_vars (maxidx + 1)
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       |> Drule.strip_shyps_warning
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       |> zero_var_indexes |> Thm.varifyT |> Thm.compress
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  end;
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fun export_thy thy th = 
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  let val A_set = get_top_scope_thms thy
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  in
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     standard_some thy [] (Seq.hd ((REPEAT (FIRSTGOAL (rtac reflexive_thm))) (standard_some thy A_set th)))
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  end;
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val export = standard o Seq.hd o (REPEAT (FIRSTGOAL (rtac reflexive_thm))) o standard;
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fun Export th = export_thy (the_context ()) th;
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(*Common treatment of "goal" and "prove_goal":
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  Return assumptions, initial proof state, and function to make result.
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  "atomic" indicates if the goal should be wrapped up in the function
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  "Goal::prop=>prop" to avoid assumptions being returned separately.
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*)
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fun prepare_proof atomic rths chorn =
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  let val {sign, t=horn,...} = rep_cterm chorn;
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      val _ = Term.no_dummy_patterns horn handle TERM (msg, _) => error msg;
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      val (_,As,B) = Logic.strip_horn(horn);
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      val atoms = atomic andalso
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            forall (fn t => not(Logic.is_implies t orelse Logic.is_all t)) As;
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      val (As,B) = if atoms then ([],horn) else (As,B);
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      val cAs = map (cterm_of sign) As;
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      val prems = map (rewrite_rule rths o forall_elim_vars(0) o assume) cAs;
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      val cB = cterm_of sign B;
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      val st0 = let val st = Drule.mk_triv_goal cB
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                in  rewrite_goals_rule rths st end
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      (*discharges assumptions from state in the order they appear in goal;
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	checks (if requested) that resulting theorem is equivalent to goal. *)
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      fun mkresult (check,state) =
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        let val state = Seq.hd (flexflex_rule state)
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	    		handle THM _ => state   (*smash flexflex pairs*)
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	    val ngoals = nprems_of state
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            val ath = implies_intr_list cAs state
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            val th = ath RS Drule.rev_triv_goal
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            val {hyps,prop,sign=sign',...} = rep_thm th
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            val final_th = if (null(hyps)) then standard th else varify th
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        in  if not check then final_th
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	    else if not (Sign.eq_sg(sign,sign')) then !result_error_fn state
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		("Signature of proof state has changed!" ^
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		 sign_error (sign,sign'))
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            else if ngoals>0 then !result_error_fn state
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		(string_of_int ngoals ^ " unsolved goals!")
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            else if (not (null hyps) andalso (not (Locale.in_locale hyps sign)))
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		 then !result_error_fn state
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                  ("Additional hypotheses:\n" ^ 
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		   cat_lines 
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		    (map (Sign.string_of_term sign) 
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		     (filter (fn x => (not (Locale.in_locale [x] sign))) 
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		      hyps)))
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	    else if Pattern.matches (#tsig(Sign.rep_sg sign)) 
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			            (Envir.beta_norm (term_of chorn), Envir.beta_norm prop)
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		 then final_th
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	    else  !result_error_fn state "proved a different theorem"
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        end
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  in
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     if Sign.eq_sg(sign, #sign(rep_thm st0))
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     then (prems, st0, mkresult)
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     else error ("Definitions would change the proof state's signature" ^
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		 sign_error (sign, #sign(rep_thm st0)))
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  end
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  handle THM(s,_,_) => error("prepare_proof: exception THM was raised!\n" ^ s);
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(*Prints exceptions readably to users*)
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fun print_sign_exn_unit sign e = 
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  case e of
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     THM (msg,i,thms) =>
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	 (writeln ("Exception THM " ^ string_of_int i ^ " raised:\n" ^ msg);
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	  seq print_thm thms)
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   | THEORY (msg,thys) =>
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	 (writeln ("Exception THEORY raised:\n" ^ msg);
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	  seq (Pretty.writeln o Display.pretty_theory) thys)
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   | TERM (msg,ts) =>
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	 (writeln ("Exception TERM raised:\n" ^ msg);
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	  seq (writeln o Sign.string_of_term sign) ts)
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   | TYPE (msg,Ts,ts) =>
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	 (writeln ("Exception TYPE raised:\n" ^ msg);
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	  seq (writeln o Sign.string_of_typ sign) Ts;
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	  seq (writeln o Sign.string_of_term sign) ts)
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   | e => raise e;
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(*Prints an exception, then fails*)
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fun print_sign_exn sign e = (print_sign_exn_unit sign e; raise ERROR);
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(** the prove_goal.... commands
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    Prove theorem using the listed tactics; check it has the specified form.
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    Augment signature with all type assignments of goal.
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    Syntax is similar to "goal" command for easy keyboard use. **)
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(*Version taking the goal as a cterm*)
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fun prove_goalw_cterm_general check rths chorn tacsf =
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  let val (prems, st0, mkresult) = prepare_proof false rths chorn
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      val tac = EVERY (tacsf prems)
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      fun statef() = 
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	  (case Seq.pull (tac st0) of 
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	       Some(st,_) => st
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	     | _ => error ("prove_goal: tactic failed"))
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  in  mkresult (check, cond_timeit (!Library.timing) statef)  end
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  handle e => (print_sign_exn_unit (#sign (rep_cterm chorn)) e;
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	       writeln ("The exception above was raised for\n" ^ 
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		      string_of_cterm chorn); raise e);
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(*Two variants: one checking the result, one not.  
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  Neither prints runtime messages: they are for internal packages.*)
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fun prove_goalw_cterm rths chorn = 
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	setmp Library.timing false (prove_goalw_cterm_general true rths chorn)
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and prove_goalw_cterm_nocheck rths chorn = 
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	setmp Library.timing false (prove_goalw_cterm_general false rths chorn);
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(*Version taking the goal as a string*)
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fun prove_goalw thy rths agoal tacsf =
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  let val sign = Theory.sign_of thy
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      val chorn = read_cterm sign (agoal,propT)
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  in  prove_goalw_cterm_general true rths chorn tacsf end
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  handle ERROR => error (*from read_cterm?*)
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		("The error(s) above occurred for " ^ quote agoal);
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(*String version with no meta-rewrite-rules*)
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fun prove_goal thy = prove_goalw thy [];
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(*** Commands etc ***)
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(*Return the current goal stack, if any, from undo_list*)
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fun getstate() : gstack = case !undo_list of 
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      []   => error"No current state in subgoal module"
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    | x::_ => x;
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(*Pops the given goal stack*)
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fun pop [] = error"Cannot go back past the beginning of the proof!"
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  | pop (pair::pairs) = (pair,pairs);
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(*Print goals of current level*)
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val current_goals_markers = ref ("", "", "");
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fun print_current_goals_default n max 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 writeln begin_state;
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    writeln ("Level " ^ string_of_int n ^
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   323
      (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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wenzelm
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   326
    Locale.print_goals_marker begin_goal max th;
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cbd439ed350d tuned current_goals_markers semantics to avoid empty lines;
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   327
    if end_state = "" then () else writeln end_state
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   328
  end;
3532
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   329
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val print_current_goals_fn = ref print_current_goals_default;
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   331
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(* Print a level of the goal stack -- subject to quiet mode *)
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   334
val quiet = ref false;
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fun disable_pr () = quiet := true;
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fun enable_pr () = quiet := false;
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fun print_top ((th, _), pairs) =
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wenzelm
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   339
  if ! quiet then ()
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wenzelm
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   340
  else ! print_current_goals_fn (length pairs) (! goals_limit) th;
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parents:
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   342
(*Printing can raise exceptions, so the assignment occurs last.
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  Can do   setstate[(st,Seq.empty)]  to set st as the state.  *)
0
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fun setstate newgoals = 
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   345
  (print_top (pop newgoals);  undo_list := newgoals :: !undo_list);
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   346
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clasohm
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   347
(*Given a proof state transformation, return a command that updates
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    the goal stack*)
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   349
fun make_command com = setstate (com (pop (getstate())));
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   350
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   351
(*Apply a function on proof states to the current goal stack*)
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fun apply_fun f = f (pop(getstate()));
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clasohm
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   353
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   354
(*Return the top theorem, representing the proof state*)
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   355
fun topthm () = apply_fun  (fn ((th,_), _) => th);
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clasohm
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   356
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clasohm
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   357
(*Return the final result.  *)
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   358
fun result () = !curr_mkresult (true, topthm());
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clasohm
parents:
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   359
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clasohm
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   360
(*Return the result UNCHECKED that it equals the goal -- for synthesis,
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clasohm
parents:
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   361
  answer extraction, or other instantiation of Vars *)
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clasohm
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   362
fun uresult () = !curr_mkresult (false, topthm());
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clasohm
parents:
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   363
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clasohm
parents:
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   364
(*Get subgoal i from goal stack*)
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paulson
parents: 2514
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   365
fun getgoal i = List.nth (prems_of (topthm()), i-1)
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paulson
parents: 2514
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   366
                handle Subscript => error"getgoal: Goal number out of range";
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clasohm
parents:
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   367
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clasohm
parents:
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   368
(*Return subgoal i's hypotheses as meta-level assumptions.
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clasohm
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   369
  For debugging uses of METAHYPS*)
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parents:
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   370
local exception GETHYPS of thm list
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clasohm
parents:
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   371
in
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clasohm
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   372
fun gethyps i = 
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b2de3b3277b8 Elimination of fully-functorial style.
paulson
parents: 1460
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   373
    (METAHYPS (fn hyps => raise (GETHYPS hyps)) i (topthm());  [])
0
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clasohm
parents:
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   374
    handle GETHYPS hyps => hyps
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parents:
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   375
end;
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clasohm
parents:
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   376
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clasohm
parents:
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   377
(*Which thms could apply to goal i? (debugs tactics involving filter_thms) *)
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clasohm
parents:
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   378
fun filter_goal could ths i = filter_thms could (999, getgoal i, ths);
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clasohm
parents:
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   379
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clasohm
parents:
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   380
(*For inspecting earlier levels of the backward proof*)
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clasohm
parents:
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   381
fun chop_level n (pair,pairs) = 
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clasohm
parents:
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   382
  let val level = length pairs
2126
d927beecedf8 Allowing negative levels (as offsets) in prlev and choplev
paulson
parents: 1928
diff changeset
   383
  in  if n<0 andalso ~n <= level
2580
e3f680709487 Gradual switching to Basis Library functions nth, drop, etc.
paulson
parents: 2514
diff changeset
   384
      then  List.drop (pair::pairs, ~n) 
2126
d927beecedf8 Allowing negative levels (as offsets) in prlev and choplev
paulson
parents: 1928
diff changeset
   385
      else if 0<=n andalso n<= level
2580
e3f680709487 Gradual switching to Basis Library functions nth, drop, etc.
paulson
parents: 2514
diff changeset
   386
      then  List.drop (pair::pairs, level - n) 
0
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clasohm
parents:
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   387
      else  error ("Level number must lie between 0 and " ^ 
1460
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clasohm
parents: 1458
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   388
		   string_of_int level)
0
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clasohm
parents:
diff changeset
   389
  end;
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clasohm
parents:
diff changeset
   390
2514
ea8881e70f9c Added the prlim command
paulson
parents: 2169
diff changeset
   391
(*Print the given level of the proof; prlev ~1 prints previous level*)
8884
d1c85d427e29 added disable_pr, enable_pr;
wenzelm
parents: 8086
diff changeset
   392
fun prlev n = (enable_pr (); apply_fun (print_top o pop o (chop_level n)));
d1c85d427e29 added disable_pr, enable_pr;
wenzelm
parents: 8086
diff changeset
   393
fun pr () = (enable_pr (); apply_fun print_top);
0
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clasohm
parents:
diff changeset
   394
2514
ea8881e70f9c Added the prlim command
paulson
parents: 2169
diff changeset
   395
(*Set goals_limit and print again*)
ea8881e70f9c Added the prlim command
paulson
parents: 2169
diff changeset
   396
fun prlim n = (goals_limit:=n; pr());
ea8881e70f9c Added the prlim command
paulson
parents: 2169
diff changeset
   397
0
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clasohm
parents:
diff changeset
   398
(** the goal.... commands
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clasohm
parents:
diff changeset
   399
    Read main goal.  Set global variables curr_prems, curr_mkresult. 
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clasohm
parents:
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   400
    Initial subgoal and premises are rewritten using rths. **)
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clasohm
parents:
diff changeset
   401
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clasohm
parents:
diff changeset
   402
(*Version taking the goal as a cterm; if you have a term t and theory thy, use
6390
5d58c100ca3f qualify Theory.sign_of etc.;
wenzelm
parents: 6189
diff changeset
   403
    goalw_cterm rths (cterm_of (Theory.sign_of thy) t);      *)
5041
a1d0a6d555cd Goals may now contain assumptions, which are not returned.
nipkow
parents: 4994
diff changeset
   404
fun agoalw_cterm atomic rths chorn = 
a1d0a6d555cd Goals may now contain assumptions, which are not returned.
nipkow
parents: 4994
diff changeset
   405
  let val (prems, st0, mkresult) = prepare_proof atomic rths chorn
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   406
  in  undo_list := [];
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 4211
diff changeset
   407
      setstate [ (st0, Seq.empty) ];  
0
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clasohm
parents:
diff changeset
   408
      curr_prems := prems;
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clasohm
parents:
diff changeset
   409
      curr_mkresult := mkresult;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   410
      prems
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   411
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   412
5041
a1d0a6d555cd Goals may now contain assumptions, which are not returned.
nipkow
parents: 4994
diff changeset
   413
val goalw_cterm = agoalw_cterm false;
a1d0a6d555cd Goals may now contain assumptions, which are not returned.
nipkow
parents: 4994
diff changeset
   414
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   415
(*Version taking the goal as a string*)
5041
a1d0a6d555cd Goals may now contain assumptions, which are not returned.
nipkow
parents: 4994
diff changeset
   416
fun agoalw atomic thy rths agoal = 
6390
5d58c100ca3f qualify Theory.sign_of etc.;
wenzelm
parents: 6189
diff changeset
   417
    agoalw_cterm atomic rths (Locale.read_cterm(Theory.sign_of thy)(agoal,propT))
5246
99116a9e88f8 added export: thm -> thm;
wenzelm
parents: 5092
diff changeset
   418
    handle ERROR => error (*from type_assign, etc via prepare_proof*)
99116a9e88f8 added export: thm -> thm;
wenzelm
parents: 5092
diff changeset
   419
	("The error(s) above occurred for " ^ quote agoal);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   420
5041
a1d0a6d555cd Goals may now contain assumptions, which are not returned.
nipkow
parents: 4994
diff changeset
   421
val goalw = agoalw false;
a1d0a6d555cd Goals may now contain assumptions, which are not returned.
nipkow
parents: 4994
diff changeset
   422
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   423
(*String version with no meta-rewrite-rules*)
5041
a1d0a6d555cd Goals may now contain assumptions, which are not returned.
nipkow
parents: 4994
diff changeset
   424
fun agoal atomic thy = agoalw atomic thy [];
a1d0a6d555cd Goals may now contain assumptions, which are not returned.
nipkow
parents: 4994
diff changeset
   425
val goal = agoal false;
a1d0a6d555cd Goals may now contain assumptions, which are not returned.
nipkow
parents: 4994
diff changeset
   426
a1d0a6d555cd Goals may now contain assumptions, which are not returned.
nipkow
parents: 4994
diff changeset
   427
(*now the versions that wrap the goal up in `Goal' to make it atomic*)
a1d0a6d555cd Goals may now contain assumptions, which are not returned.
nipkow
parents: 4994
diff changeset
   428
val atomic_goalw = agoalw true;
a1d0a6d555cd Goals may now contain assumptions, which are not returned.
nipkow
parents: 4994
diff changeset
   429
val atomic_goal = agoal true;
a1d0a6d555cd Goals may now contain assumptions, which are not returned.
nipkow
parents: 4994
diff changeset
   430
6189
e9dc9ec28a2d added Goal(w) and Export (from context.ML);
wenzelm
parents: 6133
diff changeset
   431
(*implicit context versions*)
e9dc9ec28a2d added Goal(w) and Export (from context.ML);
wenzelm
parents: 6133
diff changeset
   432
fun Goal s = atomic_goal (Context.the_context ()) s;
e9dc9ec28a2d added Goal(w) and Export (from context.ML);
wenzelm
parents: 6133
diff changeset
   433
fun Goalw thms s = atomic_goalw (Context.the_context ()) thms s;
e9dc9ec28a2d added Goal(w) and Export (from context.ML);
wenzelm
parents: 6133
diff changeset
   434
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   435
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   436
(*Proof step "by" the given tactic -- apply tactic to the proof state*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   437
fun by_com tac ((th,ths), pairs) : gstack =
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 4211
diff changeset
   438
  (case  Seq.pull(tac th)  of
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   439
     None      => error"by: tactic failed"
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   440
   | Some(th2,ths2) => 
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   441
       (if eq_thm(th,th2) 
3707
40856b593501 Prints warnings using the "warning" function instead of "writeln"
paulson
parents: 3669
diff changeset
   442
	  then warning "Warning: same as previous level"
1460
5a6f2aabd538 inserted tabs again
clasohm
parents: 1458
diff changeset
   443
	  else if eq_thm_sg(th,th2) then ()
4280
278660f52716 fixed warning;
wenzelm
parents: 4270
diff changeset
   444
	  else warning ("Warning: signature of proof state has changed" ^
1460
5a6f2aabd538 inserted tabs again
clasohm
parents: 1458
diff changeset
   445
		       sign_error (#sign(rep_thm th), #sign(rep_thm th2)));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   446
       ((th2,ths2)::(th,ths)::pairs)));
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   447
8999
ad8260dc6e4a global timing flag;
wenzelm
parents: 8884
diff changeset
   448
fun by tac = cond_timeit (!Library.timing) 
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   449
    (fn() => make_command (by_com tac));
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   450
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   451
(* byev[tac1,...,tacn] applies tac1 THEN ... THEN tacn.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   452
   Good for debugging proofs involving prove_goal.*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   453
val byev = by o EVERY;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   454
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   455
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   456
(*Backtracking means find an alternative result from a tactic.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   457
  If none at this level, try earlier levels*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   458
fun backtrack [] = error"back: no alternatives"
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   459
  | backtrack ((th,thstr) :: pairs) =
4270
957c887b89b5 changed Sequence interface (now Seq, in seq.ML);
wenzelm
parents: 4211
diff changeset
   460
     (case Seq.pull thstr of
1460
5a6f2aabd538 inserted tabs again
clasohm
parents: 1458
diff changeset
   461
	  None      => (writeln"Going back a level..."; backtrack pairs)
5a6f2aabd538 inserted tabs again
clasohm
parents: 1458
diff changeset
   462
	| Some(th2,thstr2) =>  
5a6f2aabd538 inserted tabs again
clasohm
parents: 1458
diff changeset
   463
	   (if eq_thm(th,th2) 
3707
40856b593501 Prints warnings using the "warning" function instead of "writeln"
paulson
parents: 3669
diff changeset
   464
	      then warning "Warning: same as previous choice at this level"
1460
5a6f2aabd538 inserted tabs again
clasohm
parents: 1458
diff changeset
   465
	      else if eq_thm_sg(th,th2) then ()
3707
40856b593501 Prints warnings using the "warning" function instead of "writeln"
paulson
parents: 3669
diff changeset
   466
	      else warning "Warning: signature of proof state has changed";
1460
5a6f2aabd538 inserted tabs again
clasohm
parents: 1458
diff changeset
   467
	    (th2,thstr2)::pairs));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   468
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   469
fun back() = setstate (backtrack (getstate()));
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   470
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   471
(*Chop back to previous level of the proof*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   472
fun choplev n = make_command (chop_level n);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   473
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   474
(*Chopping back the goal stack*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   475
fun chop () = make_command (fn (_,pairs) => pairs);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   476
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   477
(*Restore the previous proof state;  discard current state. *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   478
fun undo() = case !undo_list of
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   479
      [] => error"No proof state"
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   480
    | [_] => error"Already at initial state"
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   481
    | _::newundo =>  (undo_list := newundo;  pr()) ;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   482
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   483
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   484
(*** Managing the proof stack ***)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   485
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   486
fun save_proof() = Proof(!undo_list, !curr_prems, !curr_mkresult);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   487
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   488
fun restore_proof(Proof(ul,prems,mk)) =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   489
 (undo_list:= ul;  curr_prems:= prems;  curr_mkresult := mk;  prems);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   490
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   491
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clasohm
parents:
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   492
fun top_proof() = case !proofstack of
1460
5a6f2aabd538 inserted tabs again
clasohm
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   493
	[] => error("Stack of proof attempts is empty!")
0
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clasohm
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   494
    | p::ps => (p,ps);
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clasohm
parents:
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   495
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clasohm
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   496
(*  push a copy of the current proof state on to the stack *)
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clasohm
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   497
fun push_proof() = (proofstack := (save_proof() :: !proofstack));
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clasohm
parents:
diff changeset
   498
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clasohm
parents:
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   499
(* discard the top proof state of the stack *)
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clasohm
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   500
fun pop_proof() = 
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clasohm
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   501
  let val (p,ps) = top_proof()
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clasohm
parents:
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   502
      val prems = restore_proof p
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clasohm
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   503
  in proofstack := ps;  pr();  prems end;
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clasohm
parents:
diff changeset
   504
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clasohm
parents:
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   505
(* rotate the stack so that the top element goes to the bottom *)
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clasohm
parents:
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   506
fun rotate_proof() = let val (p,ps) = top_proof()
1460
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clasohm
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   507
		    in proofstack := ps@[save_proof()];
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clasohm
parents: 1458
diff changeset
   508
		       restore_proof p;
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clasohm
parents: 1458
diff changeset
   509
		       pr();
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clasohm
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diff changeset
   510
		       !curr_prems
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clasohm
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diff changeset
   511
		    end;
0
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clasohm
parents:
diff changeset
   512
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clasohm
parents:
diff changeset
   513
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clasohm
parents:
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   514
(** Shortcuts for commonly-used tactics **)
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clasohm
parents:
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   515
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clasohm
parents:
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   516
fun bws rls = by (rewrite_goals_tac rls);
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clasohm
parents:
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   517
fun bw rl = bws [rl];
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clasohm
parents:
diff changeset
   518
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clasohm
parents:
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   519
fun brs rls i = by (resolve_tac rls i);
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clasohm
parents:
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   520
fun br rl = brs [rl];
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clasohm
parents:
diff changeset
   521
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clasohm
parents:
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   522
fun bes rls i = by (eresolve_tac rls i);
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clasohm
parents:
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   523
fun be rl = bes [rl];
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clasohm
parents:
diff changeset
   524
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clasohm
parents:
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   525
fun bds rls i = by (dresolve_tac rls i);
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clasohm
parents:
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   526
fun bd rl = bds [rl];
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clasohm
parents:
diff changeset
   527
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clasohm
parents:
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   528
fun ba i = by (assume_tac i);
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clasohm
parents:
diff changeset
   529
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clasohm
parents:
diff changeset
   530
fun ren str i = by (rename_tac str i);
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clasohm
parents:
diff changeset
   531
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clasohm
parents:
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   532
(** Shortcuts to work on the first applicable subgoal **)
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clasohm
parents:
diff changeset
   533
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clasohm
parents:
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   534
fun frs rls = by (FIRSTGOAL (trace_goalno_tac (resolve_tac rls)));
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clasohm
parents:
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   535
fun fr rl = frs [rl];
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clasohm
parents:
diff changeset
   536
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clasohm
parents:
diff changeset
   537
fun fes rls = by (FIRSTGOAL (trace_goalno_tac (eresolve_tac rls)));
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clasohm
parents:
diff changeset
   538
fun fe rl = fes [rl];
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clasohm
parents:
diff changeset
   539
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clasohm
parents:
diff changeset
   540
fun fds rls = by (FIRSTGOAL (trace_goalno_tac (dresolve_tac rls)));
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clasohm
parents:
diff changeset
   541
fun fd rl = fds [rl];
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clasohm
parents:
diff changeset
   542
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clasohm
parents:
diff changeset
   543
fun fa() = by (FIRSTGOAL (trace_goalno_tac assume_tac));
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clasohm
parents:
diff changeset
   544
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clasohm
parents:
diff changeset
   545
(** Reading and printing terms wrt the current theory **)
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clasohm
parents:
diff changeset
   546
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clasohm
parents:
diff changeset
   547
fun top_sg() = #sign(rep_thm(topthm()));
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clasohm
parents:
diff changeset
   548
8086
78e254305ae6 TypeInfer.logicT;
wenzelm
parents: 7942
diff changeset
   549
fun read s = term_of (read_cterm (top_sg()) (s, TypeInfer.logicT));
0
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clasohm
parents:
diff changeset
   550
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clasohm
parents:
diff changeset
   551
(*Print a term under the current signature of the proof state*)
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clasohm
parents:
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   552
fun prin t = writeln (Sign.string_of_term (top_sg()) t);
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clasohm
parents:
diff changeset
   553
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   554
fun printyp T = writeln (Sign.string_of_typ (top_sg()) T);
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clasohm
parents:
diff changeset
   555
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clasohm
parents:
diff changeset
   556
fun pprint_term t = Sign.pprint_term (top_sg()) t;
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clasohm
parents:
diff changeset
   557
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clasohm
parents:
diff changeset
   558
fun pprint_typ T = Sign.pprint_typ (top_sg()) T;
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clasohm
parents:
diff changeset
   559
1628
60136fdd80c4 Added functions pr_latex and printgoal_latex which
berghofe
parents: 1580
diff changeset
   560
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   561
(*Prints exceptions nicely at top level; 
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clasohm
parents:
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   562
  raises the exception in order to have a polymorphic type!*)
914
cae574c09137 Now prove_goalw_cterm calls print_sign_exn_unit, so that the rest
lcp
parents: 696
diff changeset
   563
fun print_exn e = (print_sign_exn_unit (top_sg()) e;  raise e);
0
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clasohm
parents:
diff changeset
   564
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   565
end;
1500
b2de3b3277b8 Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   566
b2de3b3277b8 Elimination of fully-functorial style.
paulson
parents: 1460
diff changeset
   567
open Goals;