src/Tools/induct.ML
author wenzelm
Sat, 06 Oct 2007 16:50:04 +0200
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child 24920 2a45e400fdad
permissions -rw-r--r--
simplified interfaces for outer syntax;
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(*  Title:      Tools/induct.ML
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    ID:         $Id$
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    Author:     Markus Wenzel, TU Muenchen
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Proof by cases and induction.
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*)
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signature INDUCT_DATA =
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sig
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  val cases_default: thm
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  val atomize: thm list
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  val rulify: thm list
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  val rulify_fallback: thm list
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end;
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signature INDUCT =
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sig
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  (*rule declarations*)
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  val vars_of: term -> term list
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  val dest_rules: Proof.context ->
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    {type_cases: (string * thm) list, pred_cases: (string * thm) list,
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      type_induct: (string * thm) list, pred_induct: (string * thm) list,
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      type_coinduct: (string * thm) list, pred_coinduct: (string * thm) list}
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  val print_rules: Proof.context -> unit
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  val lookup_casesT: Proof.context -> string -> thm option
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  val lookup_casesP: Proof.context -> string -> thm option
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  val lookup_inductT: Proof.context -> string -> thm option
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  val lookup_inductP: Proof.context -> string -> thm option
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  val lookup_coinductT: Proof.context -> string -> thm option
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  val lookup_coinductP: Proof.context -> string -> thm option
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  val find_casesT: Proof.context -> typ -> thm list
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  val find_casesP: Proof.context -> term -> thm list
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  val find_inductT: Proof.context -> typ -> thm list
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  val find_inductP: Proof.context -> term -> thm list
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  val find_coinductT: Proof.context -> typ -> thm list
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  val find_coinductP: Proof.context -> term -> thm list
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  val cases_type: string -> attribute
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  val cases_pred: string -> attribute
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  val induct_type: string -> attribute
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  val induct_pred: string -> attribute
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  val coinduct_type: string -> attribute
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  val coinduct_pred: string -> attribute
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  val casesN: string
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  val inductN: string
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  val coinductN: string
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  val typeN: string
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  val predN: string
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  val setN: string
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  (*proof methods*)
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  val fix_tac: Proof.context -> int -> (string * typ) list -> int -> tactic
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  val add_defs: (string option * term) option list -> Proof.context ->
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    (term option list * thm list) * Proof.context
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  val atomize_term: theory -> term -> term
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  val atomize_tac: int -> tactic
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  val inner_atomize_tac: int -> tactic
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  val rulified_term: thm -> theory * term
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  val rulify_tac: int -> tactic
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  val internalize: int -> thm -> thm
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  val guess_instance: thm -> int -> thm -> thm Seq.seq
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  val cases_tac: Proof.context -> bool -> term option list list -> thm option ->
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    thm list -> int -> cases_tactic
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  val induct_tac: Proof.context -> bool -> (string option * term) option list list ->
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    (string * typ) list list -> term option list -> thm list option -> thm list -> int ->
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    cases_tactic
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  val coinduct_tac: Proof.context -> bool -> term option list -> term option list ->
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    thm option -> thm list -> int -> cases_tactic
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  val setup: theory -> theory
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end;
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functor InductFun(Data: INDUCT_DATA): INDUCT =
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struct
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(** misc utils **)
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(* encode_type -- for indexing purposes *)
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fun encode_type (Type (c, Ts)) = Term.list_comb (Const (c, dummyT), map encode_type Ts)
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  | encode_type (TFree (a, _)) = Free (a, dummyT)
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  | encode_type (TVar (a, _)) = Var (a, dummyT);
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(* variables -- ordered left-to-right, preferring right *)
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fun vars_of tm =
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  rev (distinct (op =) (Term.fold_aterms (fn (t as Var _) => cons t | _ => I) tm []));
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local
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val mk_var = encode_type o #2 o Term.dest_Var;
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fun concl_var which thm = mk_var (which (vars_of (Thm.concl_of thm))) handle Empty =>
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  raise THM ("No variables in conclusion of rule", 0, [thm]);
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in
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fun left_var_prem thm = mk_var (hd (vars_of (hd (Thm.prems_of thm)))) handle Empty =>
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  raise THM ("No variables in major premise of rule", 0, [thm]);
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val left_var_concl = concl_var hd;
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val right_var_concl = concl_var List.last;
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end;
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(** induct data **)
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(* rules *)
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type rules = (string * thm) NetRules.T;
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val init_rules =
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  NetRules.init (fn ((s1: string, th1), (s2, th2)) => s1 = s2 andalso
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    Thm.eq_thm_prop (th1, th2));
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fun lookup_rule (rs: rules) = AList.lookup (op =) (NetRules.rules rs);
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fun pretty_rules ctxt kind rs =
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  let val thms = map snd (NetRules.rules rs)
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  in Pretty.big_list kind (map (ProofContext.pretty_thm ctxt) thms) end;
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(* context data *)
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structure Induct = GenericDataFun
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(
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  type T = (rules * rules) * (rules * rules) * (rules * rules);
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  val empty =
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    ((init_rules (left_var_prem o #2), init_rules (Thm.major_prem_of o #2)),
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     (init_rules (right_var_concl o #2), init_rules (Thm.major_prem_of o #2)),
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     (init_rules (left_var_concl o #2), init_rules (Thm.concl_of o #2)));
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  val extend = I;
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  fun merge _ (((casesT1, casesP1), (inductT1, inductP1), (coinductT1, coinductP1)),
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      ((casesT2, casesP2), (inductT2, inductP2), (coinductT2, coinductP2))) =
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    ((NetRules.merge (casesT1, casesT2), NetRules.merge (casesP1, casesP2)),
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      (NetRules.merge (inductT1, inductT2), NetRules.merge (inductP1, inductP2)),
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      (NetRules.merge (coinductT1, coinductT2), NetRules.merge (coinductP1, coinductP2)));
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);
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val get_local = Induct.get o Context.Proof;
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fun dest_rules ctxt =
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  let val ((casesT, casesP), (inductT, inductP), (coinductT, coinductP)) = get_local ctxt in
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    {type_cases = NetRules.rules casesT,
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     pred_cases = NetRules.rules casesP,
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     type_induct = NetRules.rules inductT,
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     pred_induct = NetRules.rules inductP,
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     type_coinduct = NetRules.rules coinductT,
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     pred_coinduct = NetRules.rules coinductP}
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  end;
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fun print_rules ctxt =
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  let val ((casesT, casesP), (inductT, inductP), (coinductT, coinductP)) = get_local ctxt in
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   [pretty_rules ctxt "coinduct type:" coinductT,
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    pretty_rules ctxt "coinduct pred:" coinductP,
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    pretty_rules ctxt "induct type:" inductT,
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    pretty_rules ctxt "induct pred:" inductP,
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    pretty_rules ctxt "cases type:" casesT,
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    pretty_rules ctxt "cases pred:" casesP]
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    |> Pretty.chunks |> Pretty.writeln
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  end;
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val _ =
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  OuterSyntax.improper_command "print_induct_rules" "print induction and cases rules"
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    OuterKeyword.diag (Scan.succeed (Toplevel.no_timing o Toplevel.unknown_context o
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      Toplevel.keep (print_rules o Toplevel.context_of)));
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(* access rules *)
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val lookup_casesT = lookup_rule o #1 o #1 o get_local;
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val lookup_casesP = lookup_rule o #2 o #1 o get_local;
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val lookup_inductT = lookup_rule o #1 o #2 o get_local;
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val lookup_inductP = lookup_rule o #2 o #2 o get_local;
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val lookup_coinductT = lookup_rule o #1 o #3 o get_local;
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val lookup_coinductP = lookup_rule o #2 o #3 o get_local;
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fun find_rules which how ctxt x =
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  map snd (NetRules.retrieve (which (get_local ctxt)) (how x));
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val find_casesT = find_rules (#1 o #1) encode_type;
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val find_casesP = find_rules (#2 o #1) I;
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val find_inductT = find_rules (#1 o #2) encode_type;
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val find_inductP = find_rules (#2 o #2) I;
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val find_coinductT = find_rules (#1 o #3) encode_type;
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val find_coinductP = find_rules (#2 o #3) I;
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(** attributes **)
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local
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fun mk_att f g name arg =
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  let val (x, thm) = g arg in (Induct.map (f (name, thm)) x, thm) end;
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fun map1 f (x, y, z) = (f x, y, z);
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fun map2 f (x, y, z) = (x, f y, z);
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fun map3 f (x, y, z) = (x, y, f z);
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fun add_casesT rule x = map1 (apfst (NetRules.insert rule)) x;
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fun add_casesP rule x = map1 (apsnd (NetRules.insert rule)) x;
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fun add_inductT rule x = map2 (apfst (NetRules.insert rule)) x;
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fun add_inductP rule x = map2 (apsnd (NetRules.insert rule)) x;
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fun add_coinductT rule x = map3 (apfst (NetRules.insert rule)) x;
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fun add_coinductP rule x = map3 (apsnd (NetRules.insert rule)) x;
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fun consumes0 x = RuleCases.consumes_default 0 x;
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fun consumes1 x = RuleCases.consumes_default 1 x;
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in
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val cases_type = mk_att add_casesT consumes0;
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val cases_pred = mk_att add_casesP consumes1;
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val induct_type = mk_att add_inductT consumes0;
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val induct_pred = mk_att add_inductP consumes1;
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val coinduct_type = mk_att add_coinductT consumes0;
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val coinduct_pred = mk_att add_coinductP consumes1;
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end;
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(** attribute syntax **)
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val casesN = "cases";
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val inductN = "induct";
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val coinductN = "coinduct";
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val typeN = "type";
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val predN = "pred";
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val setN = "set";
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local
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fun spec k arg =
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  Scan.lift (Args.$$$ k -- Args.colon) |-- arg ||
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  Scan.lift (Args.$$$ k) >> K "";
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fun attrib add_type add_pred = Attrib.syntax
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 (spec typeN Args.tyname >> add_type ||
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  spec predN Args.const >> add_pred ||
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  spec setN Args.const >> add_pred);
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val cases_att = attrib cases_type cases_pred;
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val induct_att = attrib induct_type induct_pred;
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val coinduct_att = attrib coinduct_type coinduct_pred;
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in
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val attrib_setup = Attrib.add_attributes
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 [(casesN, cases_att, "declaration of cases rule for type or predicate/set"),
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  (inductN, induct_att, "declaration of induction rule for type or predicate/set"),
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  (coinductN, coinduct_att, "declaration of coinduction rule for type or predicate/set")];
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end;
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(** method utils **)
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(* alignment *)
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fun align_left msg xs ys =
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  let val m = length xs and n = length ys
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  in if m < n then error msg else (Library.take (n, xs) ~~ ys) end;
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fun align_right msg xs ys =
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  let val m = length xs and n = length ys
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  in if m < n then error msg else (Library.drop (m - n, xs) ~~ ys) end;
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(* prep_inst *)
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fun prep_inst thy align tune (tm, ts) =
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  let
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    val cert = Thm.cterm_of thy;
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    fun prep_var (x, SOME t) =
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          let
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            val cx = cert x;
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            val {T = xT, thy, ...} = Thm.rep_cterm cx;
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            val ct = cert (tune t);
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          in
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            if Type.could_unify (#T (Thm.rep_cterm ct), xT) then SOME (cx, ct)
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            else error (Pretty.string_of (Pretty.block
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             [Pretty.str "Ill-typed instantiation:", Pretty.fbrk,
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              Display.pretty_cterm ct, Pretty.str " ::", Pretty.brk 1,
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              Display.pretty_ctyp (#T (Thm.crep_cterm ct))]))
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          end
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      | prep_var (_, NONE) = NONE;
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    val xs = vars_of tm;
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  in
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    align "Rule has fewer variables than instantiations given" xs ts
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    |> map_filter prep_var
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  end;
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(* trace_rules *)
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fun trace_rules _ kind [] = error ("Unable to figure out " ^ kind ^ " rule")
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  | trace_rules ctxt _ rules = Method.trace ctxt rules;
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(* make_cases *)
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fun make_cases is_open rule =
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  RuleCases.make_common is_open (Thm.theory_of_thm rule, Thm.prop_of rule);
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fun warn_open true = legacy_feature "open rule cases in proof method"
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  | warn_open false = ();
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(** cases method **)
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(*
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  rule selection scheme:
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          cases         - default case split
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    `A t` cases ...     - predicate/set cases
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          cases t       - type cases
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    ...   cases ... r   - explicit rule
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*)
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local
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fun get_casesT ctxt ((SOME t :: _) :: _) = find_casesT ctxt (Term.fastype_of t)
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  | get_casesT _ _ = [];
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fun get_casesP ctxt (fact :: _) = find_casesP ctxt (Thm.concl_of fact)
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  | get_casesP _ _ = [];
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in
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fun cases_tac ctxt is_open insts opt_rule facts =
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  let
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    val _ = warn_open is_open;
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    val thy = ProofContext.theory_of ctxt;
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    val cert = Thm.cterm_of thy;
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    fun inst_rule r =
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      if null insts then `RuleCases.get r
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      else (align_left "Rule has fewer premises than arguments given" (Thm.prems_of r) insts
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        |> maps (prep_inst thy align_left I)
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        |> Drule.cterm_instantiate) r |> pair (RuleCases.get r);
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    val ruleq =
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      (case opt_rule of
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        SOME r => Seq.single (inst_rule r)
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      | NONE =>
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          (get_casesP ctxt facts @ get_casesT ctxt insts @ [Data.cases_default])
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          |> tap (trace_rules ctxt casesN)
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wenzelm
parents:
diff changeset
   354
          |> Seq.of_list |> Seq.maps (Seq.try inst_rule));
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   355
  in
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   356
    fn i => fn st =>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   357
      ruleq
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   358
      |> Seq.maps (RuleCases.consume [] facts)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   359
      |> Seq.maps (fn ((cases, (_, more_facts)), rule) =>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   360
        CASES (make_cases is_open rule cases)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   361
          (Method.insert_tac more_facts i THEN Tactic.rtac rule i) st)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   362
  end;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   363
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   364
end;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   365
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   366
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   367
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   368
(** induct method **)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   369
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   370
val conjunction_congs = [@{thm Pure.all_conjunction}, @{thm imp_conjunction}];
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   371
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   372
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   373
(* atomize *)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   374
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   375
fun atomize_term thy =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   376
  MetaSimplifier.rewrite_term thy Data.atomize []
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   377
  #> ObjectLogic.drop_judgment thy;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   378
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   379
val atomize_cterm = MetaSimplifier.rewrite true Data.atomize;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   380
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   381
val atomize_tac = Simplifier.rewrite_goal_tac Data.atomize;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   382
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   383
val inner_atomize_tac =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   384
  Simplifier.rewrite_goal_tac (map Thm.symmetric conjunction_congs) THEN' atomize_tac;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   385
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   386
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   387
(* rulify *)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   388
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   389
fun rulify_term thy =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   390
  MetaSimplifier.rewrite_term thy (Data.rulify @ conjunction_congs) [] #>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   391
  MetaSimplifier.rewrite_term thy Data.rulify_fallback [];
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   392
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   393
fun rulified_term thm =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   394
  let
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   395
    val thy = Thm.theory_of_thm thm;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   396
    val rulify = rulify_term thy;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   397
    val (As, B) = Logic.strip_horn (Thm.prop_of thm);
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   398
  in (thy, Logic.list_implies (map rulify As, rulify B)) end;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   399
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   400
val rulify_tac =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   401
  Simplifier.rewrite_goal_tac (Data.rulify @ conjunction_congs) THEN'
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   402
  Simplifier.rewrite_goal_tac Data.rulify_fallback THEN'
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   403
  Goal.conjunction_tac THEN_ALL_NEW
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   404
  (Simplifier.rewrite_goal_tac [@{thm Pure.conjunction_imp}] THEN' Goal.norm_hhf_tac);
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   405
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   406
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   407
(* prepare rule *)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   408
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   409
fun rule_instance thy inst rule =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   410
  Drule.cterm_instantiate (prep_inst thy align_left I (Thm.prop_of rule, inst)) rule;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   411
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   412
fun internalize k th =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   413
  th |> Thm.permute_prems 0 k
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   414
  |> Conv.fconv_rule (Conv.concl_conv (Thm.nprems_of th - k) atomize_cterm);
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   415
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   416
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   417
(* guess rule instantiation -- cannot handle pending goal parameters *)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   418
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   419
local
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   420
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   421
fun dest_env thy (env as Envir.Envir {iTs, ...}) =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   422
  let
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   423
    val cert = Thm.cterm_of thy;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   424
    val certT = Thm.ctyp_of thy;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   425
    val pairs = Envir.alist_of env;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   426
    val ts = map (cert o Envir.norm_term env o #2 o #2) pairs;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   427
    val xs = map2 (curry (cert o Var)) (map #1 pairs) (map (#T o Thm.rep_cterm) ts);
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   428
  in (map (fn (xi, (S, T)) => (certT (TVar (xi, S)), certT T)) (Vartab.dest iTs), xs ~~ ts) end;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   429
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   430
in
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   431
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   432
fun guess_instance rule i st =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   433
  let
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   434
    val {thy, maxidx, ...} = Thm.rep_thm st;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   435
    val goal = Thm.term_of (Thm.cprem_of st i);  (*exception Subscript*)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   436
    val params = rev (rename_wrt_term goal (Logic.strip_params goal));
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   437
  in
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   438
    if not (null params) then
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   439
      (warning ("Cannot determine rule instantiation due to pending parameter(s): " ^
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   440
        commas_quote (map (Sign.string_of_term thy o Syntax.mark_boundT) params));
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   441
      Seq.single rule)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   442
    else
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   443
      let
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   444
        val rule' = Thm.incr_indexes (maxidx + 1) rule;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   445
        val concl = Logic.strip_assums_concl goal;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   446
      in
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   447
        Unify.smash_unifiers thy [(Thm.concl_of rule', concl)]
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   448
          (Envir.empty (#maxidx (Thm.rep_thm rule')))
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   449
        |> Seq.map (fn env => Drule.instantiate (dest_env thy env) rule')
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   450
      end
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   451
  end handle Subscript => Seq.empty;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   452
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   453
end;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   454
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   455
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   456
(* special renaming of rule parameters *)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   457
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   458
fun special_rename_params ctxt [[SOME (Free (z, Type (T, _)))]] [thm] =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   459
      let
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   460
        val x = ProofContext.revert_skolem ctxt z;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   461
        fun index i [] = []
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   462
          | index i (y :: ys) =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   463
              if x = y then x ^ string_of_int i :: index (i + 1) ys
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   464
              else y :: index i ys;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   465
        fun rename_params [] = []
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   466
          | rename_params ((y, Type (U, _)) :: ys) =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   467
              (if U = T then x else y) :: rename_params ys
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   468
          | rename_params ((y, _) :: ys) = y :: rename_params ys;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   469
        fun rename_asm A =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   470
          let
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   471
            val xs = rename_params (Logic.strip_params A);
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   472
            val xs' =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   473
              (case List.filter (equal x) xs of
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   474
                [] => xs | [_] => xs | _ => index 1 xs);
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   475
          in Logic.list_rename_params (xs', A) end;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   476
        fun rename_prop p =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   477
          let val (As, C) = Logic.strip_horn p
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   478
          in Logic.list_implies (map rename_asm As, C) end;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   479
        val cp' = cterm_fun rename_prop (Thm.cprop_of thm);
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   480
        val thm' = Thm.equal_elim (Thm.reflexive cp') thm;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   481
      in [RuleCases.save thm thm'] end
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   482
  | special_rename_params _ _ ths = ths;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   483
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   484
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   485
(* fix_tac *)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   486
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   487
local
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   488
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   489
fun goal_prefix k ((c as Const ("all", _)) $ Abs (a, T, B)) = c $ Abs (a, T, goal_prefix k B)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   490
  | goal_prefix 0 _ = Term.dummy_pattern propT
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   491
  | goal_prefix k ((c as Const ("==>", _)) $ A $ B) = c $ A $ goal_prefix (k - 1) B
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   492
  | goal_prefix _ _ = Term.dummy_pattern propT;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   493
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   494
fun goal_params k (Const ("all", _) $ Abs (_, _, B)) = goal_params k B + 1
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   495
  | goal_params 0 _ = 0
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   496
  | goal_params k (Const ("==>", _) $ _ $ B) = goal_params (k - 1) B
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   497
  | goal_params _ _ = 0;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   498
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   499
fun meta_spec_tac ctxt n (x, T) = SUBGOAL (fn (goal, i) =>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   500
  let
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   501
    val thy = ProofContext.theory_of ctxt;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   502
    val cert = Thm.cterm_of thy;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   503
    val certT = Thm.ctyp_of thy;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   504
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   505
    val v = Free (x, T);
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   506
    fun spec_rule prfx (xs, body) =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   507
      @{thm Pure.meta_spec}
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   508
      |> Thm.rename_params_rule ([ProofContext.revert_skolem ctxt x], 1)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   509
      |> Thm.lift_rule (cert prfx)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   510
      |> `(Thm.prop_of #> Logic.strip_assums_concl)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   511
      |-> (fn pred $ arg =>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   512
        Drule.cterm_instantiate
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   513
          [(cert (Term.head_of pred), cert (Logic.rlist_abs (xs, body))),
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   514
           (cert (Term.head_of arg), cert (Logic.rlist_abs (xs, v)))]);
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   515
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   516
    fun goal_concl k xs (Const ("all", _) $ Abs (a, T, B)) = goal_concl k ((a, T) :: xs) B
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   517
      | goal_concl 0 xs B =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   518
          if not (Term.exists_subterm (fn t => t aconv v) B) then NONE
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   519
          else SOME (xs, Term.absfree (x, T, Term.incr_boundvars 1 B))
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   520
      | goal_concl k xs (Const ("==>", _) $ _ $ B) = goal_concl (k - 1) xs B
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   521
      | goal_concl _ _ _ = NONE;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   522
  in
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   523
    (case goal_concl n [] goal of
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   524
      SOME concl =>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   525
        (compose_tac (false, spec_rule (goal_prefix n goal) concl, 1) THEN' rtac asm_rl) i
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   526
    | NONE => all_tac)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   527
  end);
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   528
24832
64cd13299d39 Conv.forall_conv: proper context;
wenzelm
parents: 24830
diff changeset
   529
fun miniscope_tac p = CONVERSION o
64cd13299d39 Conv.forall_conv: proper context;
wenzelm
parents: 24830
diff changeset
   530
  Conv.forall_conv p (K (MetaSimplifier.rewrite true [Thm.symmetric Drule.norm_hhf_eq]));
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   531
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   532
in
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   533
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   534
fun fix_tac _ _ [] = K all_tac
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   535
  | fix_tac ctxt n xs = SUBGOAL (fn (goal, i) =>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   536
     (EVERY' (map (meta_spec_tac ctxt n) xs) THEN'
24832
64cd13299d39 Conv.forall_conv: proper context;
wenzelm
parents: 24830
diff changeset
   537
      (miniscope_tac (goal_params n goal) ctxt)) i);
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   538
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   539
end;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   540
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   541
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   542
(* add_defs *)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   543
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   544
fun add_defs def_insts =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   545
  let
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   546
    fun add (SOME (SOME x, t)) ctxt =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   547
          let val ([(lhs, (_, th))], ctxt') = LocalDefs.add_defs [((x, NoSyn), (("", []), t))] ctxt
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   548
          in ((SOME lhs, [th]), ctxt') end
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   549
      | add (SOME (NONE, t)) ctxt = ((SOME t, []), ctxt)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   550
      | add NONE ctxt = ((NONE, []), ctxt);
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   551
  in fold_map add def_insts #> apfst (split_list #> apsnd flat) end;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   552
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   553
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   554
(* induct_tac *)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   555
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   556
(*
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   557
  rule selection scheme:
24861
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   558
    `A x` induct ...     - predicate/set induction
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   559
          induct x       - type induction
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   560
    ...   induct ... r   - explicit rule
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   561
*)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   562
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   563
local
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   564
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   565
fun get_inductT ctxt insts =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   566
  fold_rev multiply (insts |> map_filter (fn [] => NONE | ts => List.last ts)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   567
    |> map (find_inductT ctxt o Term.fastype_of)) [[]]
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   568
  |> filter_out (forall PureThy.is_internal);
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   569
24861
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   570
fun get_inductP ctxt (fact :: _) = map single (find_inductP ctxt (Thm.concl_of fact))
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   571
  | get_inductP _ _ = [];
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   572
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   573
in
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   574
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   575
fun induct_tac ctxt is_open def_insts arbitrary taking opt_rule facts =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   576
  let
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   577
    val _ = warn_open is_open;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   578
    val thy = ProofContext.theory_of ctxt;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   579
    val cert = Thm.cterm_of thy;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   580
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   581
    val ((insts, defs), defs_ctxt) = fold_map add_defs def_insts ctxt |>> split_list;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   582
    val atomized_defs = map (map (Conv.fconv_rule ObjectLogic.atomize)) defs;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   583
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   584
    fun inst_rule (concls, r) =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   585
      (if null insts then `RuleCases.get r
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   586
       else (align_left "Rule has fewer conclusions than arguments given"
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   587
          (map Logic.strip_imp_concl (Logic.dest_conjunctions (Thm.concl_of r))) insts
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   588
        |> maps (prep_inst thy align_right (atomize_term thy))
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   589
        |> Drule.cterm_instantiate) r |> pair (RuleCases.get r))
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   590
      |> (fn ((cases, consumes), th) => (((cases, concls), consumes), th));
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   591
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   592
    val ruleq =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   593
      (case opt_rule of
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   594
        SOME rs => Seq.single (inst_rule (RuleCases.strict_mutual_rule ctxt rs))
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   595
      | NONE =>
24861
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   596
          (get_inductP ctxt facts @
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   597
            map (special_rename_params defs_ctxt insts) (get_inductT ctxt insts))
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   598
          |> map_filter (RuleCases.mutual_rule ctxt)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   599
          |> tap (trace_rules ctxt inductN o map #2)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   600
          |> Seq.of_list |> Seq.maps (Seq.try inst_rule));
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   601
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   602
    fun rule_cases rule =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   603
      RuleCases.make_nested is_open (Thm.prop_of rule) (rulified_term rule);
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   604
  in
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   605
    (fn i => fn st =>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   606
      ruleq
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   607
      |> Seq.maps (RuleCases.consume (flat defs) facts)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   608
      |> Seq.maps (fn (((cases, concls), (more_consumes, more_facts)), rule) =>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   609
        (PRECISE_CONJUNCTS (length concls) (ALLGOALS (fn j =>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   610
          (CONJUNCTS (ALLGOALS
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   611
            (Method.insert_tac (more_facts @ nth_list atomized_defs (j - 1))
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   612
              THEN' fix_tac defs_ctxt
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   613
                (nth concls (j - 1) + more_consumes)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   614
                (nth_list arbitrary (j - 1))))
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   615
          THEN' inner_atomize_tac) j))
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   616
        THEN' atomize_tac) i st |> Seq.maps (fn st' =>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   617
            guess_instance (internalize more_consumes rule) i st'
24865
62c48c4bee48 (co)induct: polymorhic taking'';
wenzelm
parents: 24861
diff changeset
   618
            |> Seq.map (rule_instance thy (burrow_options (Variable.polymorphic ctxt) taking))
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   619
            |> Seq.maps (fn rule' =>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   620
              CASES (rule_cases rule' cases)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   621
                (Tactic.rtac rule' i THEN
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   622
                  PRIMITIVE (singleton (ProofContext.export defs_ctxt ctxt))) st'))))
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   623
    THEN_ALL_NEW_CASES rulify_tac
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   624
  end;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   625
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   626
end;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   627
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   628
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   629
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   630
(** coinduct method **)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   631
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   632
(*
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   633
  rule selection scheme:
24861
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   634
    goal "A x" coinduct ...   - predicate/set coinduction
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   635
               coinduct x     - type coinduction
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   636
               coinduct ... r - explicit rule
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   637
*)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   638
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   639
local
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   640
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   641
fun get_coinductT ctxt (SOME t :: _) = find_coinductT ctxt (Term.fastype_of t)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   642
  | get_coinductT _ _ = [];
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   643
24861
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   644
fun get_coinductP ctxt goal = find_coinductP ctxt (Logic.strip_assums_concl goal);
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   645
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   646
fun main_prop_of th =
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   647
  if RuleCases.get_consumes th > 0 then Thm.major_prem_of th else Thm.concl_of th;
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   648
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   649
in
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   650
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   651
fun coinduct_tac ctxt is_open inst taking opt_rule facts =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   652
  let
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   653
    val _ = warn_open is_open;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   654
    val thy = ProofContext.theory_of ctxt;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   655
    val cert = Thm.cterm_of thy;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   656
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   657
    fun inst_rule r =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   658
      if null inst then `RuleCases.get r
24861
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   659
      else Drule.cterm_instantiate (prep_inst thy align_right I (main_prop_of r, inst)) r
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   660
        |> pair (RuleCases.get r);
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   661
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   662
    fun ruleq goal =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   663
      (case opt_rule of
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   664
        SOME r => Seq.single (inst_rule r)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   665
      | NONE =>
24861
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   666
          (get_coinductP ctxt goal @ get_coinductT ctxt inst)
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   667
          |> tap (trace_rules ctxt coinductN)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   668
          |> Seq.of_list |> Seq.maps (Seq.try inst_rule));
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   669
  in
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   670
    SUBGOAL_CASES (fn (goal, i) => fn st =>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   671
      ruleq goal
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   672
      |> Seq.maps (RuleCases.consume [] facts)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   673
      |> Seq.maps (fn ((cases, (_, more_facts)), rule) =>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   674
        guess_instance rule i st
24865
62c48c4bee48 (co)induct: polymorhic taking'';
wenzelm
parents: 24861
diff changeset
   675
        |> Seq.map (rule_instance thy (burrow_options (Variable.polymorphic ctxt) taking))
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   676
        |> Seq.maps (fn rule' =>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   677
          CASES (make_cases is_open rule' cases)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   678
            (Method.insert_tac more_facts i THEN Tactic.rtac rule' i) st)))
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   679
  end;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   680
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   681
end;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   682
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   683
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   684
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   685
(** concrete syntax **)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   686
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   687
val openN = "open";
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   688
val arbitraryN = "arbitrary";
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   689
val takingN = "taking";
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   690
val ruleN = "rule";
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   691
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   692
local
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   693
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   694
fun single_rule [rule] = rule
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   695
  | single_rule _ = error "Single rule expected";
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   696
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   697
fun named_rule k arg get =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   698
  Scan.lift (Args.$$$ k -- Args.colon) |-- Scan.repeat arg :|--
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   699
    (fn names => Scan.peek (fn context => Scan.succeed (names |> map (fn name =>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   700
      (case get (Context.proof_of context) name of SOME x => x
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   701
      | NONE => error ("No rule for " ^ k ^ " " ^ quote name))))));
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   702
24861
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   703
fun rule get_type get_pred =
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   704
  named_rule typeN Args.tyname get_type ||
24861
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   705
  named_rule predN Args.const get_pred ||
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   706
  named_rule setN Args.const get_pred ||
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   707
  Scan.lift (Args.$$$ ruleN -- Args.colon) |-- Attrib.thms;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   708
24861
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   709
val cases_rule = rule lookup_casesT lookup_casesP >> single_rule;
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   710
val induct_rule = rule lookup_inductT lookup_inductP;
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   711
val coinduct_rule = rule lookup_coinductT lookup_coinductP >> single_rule;
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   712
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   713
val inst = Scan.lift (Args.$$$ "_") >> K NONE || Args.term >> SOME;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   714
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   715
val def_inst =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   716
  ((Scan.lift (Args.name --| (Args.$$$ "\\<equiv>" || Args.$$$ "==")) >> SOME)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   717
      -- Args.term) >> SOME ||
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   718
    inst >> Option.map (pair NONE);
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   719
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   720
val free = Scan.state -- Args.term >> (fn (_, Free v) => v | (context, t) =>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   721
  error ("Bad free variable: " ^ ProofContext.string_of_term (Context.proof_of context) t));
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   722
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   723
fun unless_more_args scan = Scan.unless (Scan.lift
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   724
  ((Args.$$$ arbitraryN || Args.$$$ takingN || Args.$$$ typeN ||
24861
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   725
    Args.$$$ predN || Args.$$$ setN || Args.$$$ ruleN) -- Args.colon)) scan;
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   726
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   727
val arbitrary = Scan.optional (Scan.lift (Args.$$$ arbitraryN -- Args.colon) |--
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   728
  Args.and_list1 (Scan.repeat (unless_more_args free))) [];
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   729
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   730
val taking = Scan.optional (Scan.lift (Args.$$$ takingN -- Args.colon) |--
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   731
  Scan.repeat1 (unless_more_args inst)) [];
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   732
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   733
in
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   734
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   735
fun cases_meth src =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   736
  Method.syntax (Args.mode openN --
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   737
    (Args.and_list (Scan.repeat (unless_more_args inst)) -- Scan.option cases_rule)) src
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   738
  #> (fn ((is_open, (insts, opt_rule)), ctxt) =>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   739
    Method.METHOD_CASES (fn facts =>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   740
      Seq.DETERM (HEADGOAL (cases_tac ctxt is_open insts opt_rule facts))));
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   741
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   742
fun induct_meth src =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   743
  Method.syntax (Args.mode openN --
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   744
    (Args.and_list (Scan.repeat (unless_more_args def_inst)) --
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   745
    (arbitrary -- taking -- Scan.option induct_rule))) src
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   746
  #> (fn ((is_open, (insts, ((arbitrary, taking), opt_rule))), ctxt) =>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   747
    Method.RAW_METHOD_CASES (fn facts =>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   748
      Seq.DETERM (HEADGOAL (induct_tac ctxt is_open insts arbitrary taking opt_rule facts))));
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   749
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   750
fun coinduct_meth src =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   751
  Method.syntax (Args.mode openN --
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   752
    (Scan.repeat (unless_more_args inst) -- taking -- Scan.option coinduct_rule)) src
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   753
  #> (fn ((is_open, ((insts, taking), opt_rule)), ctxt) =>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   754
    Method.RAW_METHOD_CASES (fn facts =>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   755
      Seq.DETERM (HEADGOAL (coinduct_tac ctxt is_open insts taking opt_rule facts))));
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   756
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   757
end;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   758
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   759
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   760
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   761
(** theory setup **)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   762
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   763
val setup =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   764
  attrib_setup #>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   765
  Method.add_methods
24861
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   766
    [(casesN, cases_meth, "case analysis on types or predicates/sets"),
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   767
     (inductN, induct_meth, "induction on types or predicates/sets"),
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   768
     (coinductN, coinduct_meth, "coinduction on types or predicates/sets")];
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   769
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   770
end;