src/Tools/induct.ML
author blanchet
Mon, 15 Sep 2014 10:49:07 +0200
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(*  Title:      Tools/induct.ML
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    Author:     Markus Wenzel, TU Muenchen
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Proof by cases, induction, and coinduction.
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*)
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signature INDUCT_ARGS =
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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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  val equal_def: thm
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  val dest_def: term -> (term * term) option
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  val trivial_tac: int -> tactic
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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 cases_del: attribute
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  val induct_type: string -> attribute
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  val induct_pred: string -> attribute
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  val induct_del: attribute
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  val coinduct_type: string -> attribute
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  val coinduct_pred: string -> attribute
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  val coinduct_del: attribute
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  val map_simpset: (Proof.context -> Proof.context) -> Context.generic -> Context.generic
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  val induct_simp_add: attribute
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  val induct_simp_del: attribute
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  val no_simpN: string
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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 arbitrary_tac: Proof.context -> int -> (string * typ) list -> int -> tactic
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  val add_defs: (binding option * (term * bool)) 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_cterm: Proof.context -> conv
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  val atomize_tac: Proof.context -> int -> tactic
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  val inner_atomize_tac: Proof.context -> int -> tactic
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  val rulified_term: thm -> theory * term
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  val rulify_tac: Proof.context -> int -> tactic
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  val simplified_rule: Proof.context -> thm -> thm
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  val simplify_tac: Proof.context -> int -> tactic
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  val trivial_tac: int -> tactic
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  val rotate_tac: int -> int -> int -> tactic
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  val internalize: Proof.context -> int -> thm -> thm
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  val guess_instance: Proof.context -> 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 get_inductT: Proof.context -> term option list list -> thm list list
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  type case_data = (((string * string list) * string list) list * int) (* FIXME -> rule_cases.ML *)
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  val gen_induct_tac: (theory -> case_data * thm -> case_data * thm) ->
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    Proof.context -> bool -> (binding option * (term * bool)) option list list ->
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    (string * typ) list list -> term option list -> thm list option ->
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    thm list -> int -> cases_tactic
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  val induct_tac: Proof.context -> bool -> (binding option * (term * bool)) option list list ->
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    (string * typ) list list -> term option list -> thm list option ->
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    thm list -> int -> cases_tactic
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  val coinduct_tac: Proof.context -> term option list -> term option list -> thm option ->
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    thm list -> int -> cases_tactic
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  val gen_induct_setup: binding ->
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   (Proof.context -> bool -> (binding option * (term * bool)) option list list ->
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    (string * typ) list list -> term option list -> thm list option ->
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    thm list -> int -> cases_tactic) ->
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   theory -> theory
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  val setup: theory -> theory
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end;
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functor Induct(Induct_Args: INDUCT_ARGS): INDUCT =
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struct
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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 = Net.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 List.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 List.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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(** constraint simplification **)
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(* rearrange parameters and premises to allow application of one-point-rules *)
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fun swap_params_conv ctxt i j cv =
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  let
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    fun conv1 0 ctxt = Conv.forall_conv (cv o snd) ctxt
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      | conv1 k ctxt =
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          Conv.rewr_conv @{thm swap_params} then_conv
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          Conv.forall_conv (conv1 (k - 1) o snd) ctxt
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    fun conv2 0 ctxt = conv1 j ctxt
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      | conv2 k ctxt = Conv.forall_conv (conv2 (k - 1) o snd) ctxt
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  in conv2 i ctxt end;
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fun swap_prems_conv 0 = Conv.all_conv
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  | swap_prems_conv i =
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      Conv.implies_concl_conv (swap_prems_conv (i - 1)) then_conv
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      Conv.rewr_conv Drule.swap_prems_eq
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fun drop_judgment ctxt = Object_Logic.drop_judgment (Proof_Context.theory_of ctxt);
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fun find_eq ctxt t =
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  let
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    val l = length (Logic.strip_params t);
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    val Hs = Logic.strip_assums_hyp t;
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    fun find (i, t) =
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      (case Induct_Args.dest_def (drop_judgment ctxt t) of
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        SOME (Bound j, _) => SOME (i, j)
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      | SOME (_, Bound j) => SOME (i, j)
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      | _ => NONE);
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  in
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    (case get_first find (map_index I Hs) of
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      NONE => NONE
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    | SOME (0, 0) => NONE
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    | SOME (i, j) => SOME (i, l - j - 1, j))
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  end;
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fun mk_swap_rrule ctxt ct =
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  (case find_eq ctxt (term_of ct) of
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    NONE => NONE
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  | SOME (i, k, j) => SOME (swap_params_conv ctxt k j (K (swap_prems_conv i)) ct));
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val rearrange_eqs_simproc =
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  Simplifier.simproc_global Pure.thy "rearrange_eqs" ["Pure.all t"]
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    (fn ctxt => fn t => mk_swap_rrule ctxt (cterm_of (Proof_Context.theory_of ctxt) t));
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(* rotate k premises to the left by j, skipping over first j premises *)
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fun rotate_conv 0 j 0 = Conv.all_conv
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  | rotate_conv 0 j k = swap_prems_conv j then_conv rotate_conv 1 j (k - 1)
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  | rotate_conv i j k = Conv.implies_concl_conv (rotate_conv (i - 1) j k);
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fun rotate_tac j 0 = K all_tac
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  | rotate_tac j k = SUBGOAL (fn (goal, i) =>
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      CONVERSION (rotate_conv
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        j (length (Logic.strip_assums_hyp goal) - j - k) k) i);
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(* rulify operators around definition *)
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fun rulify_defs_conv ctxt ct =
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  if exists_subterm (is_some o Induct_Args.dest_def) (term_of ct) andalso
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    not (is_some (Induct_Args.dest_def (drop_judgment ctxt (term_of ct))))
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  then
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    (Conv.forall_conv (rulify_defs_conv o snd) ctxt else_conv
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     Conv.implies_conv (Conv.try_conv (rulify_defs_conv ctxt))
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       (Conv.try_conv (rulify_defs_conv ctxt)) else_conv
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     Conv.first_conv (map Conv.rewr_conv Induct_Args.rulify) then_conv
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       Conv.try_conv (rulify_defs_conv ctxt)) ct
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  else Conv.no_conv ct;
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(** induct data **)
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(* rules *)
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type rules = (string * thm) Item_Net.T;
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fun init_rules index : rules =
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  Item_Net.init
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    (fn ((s1, th1), (s2, th2)) => s1 = s2 andalso Thm.eq_thm_prop (th1, th2))
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    (single o index);
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fun filter_rules (rs: rules) th =
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  filter (fn (_, th') => Thm.eq_thm_prop (th, th')) (Item_Net.content rs);
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fun lookup_rule (rs: rules) = AList.lookup (op =) (Item_Net.content rs);
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fun pretty_rules ctxt kind rs =
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  let val thms = map snd (Item_Net.content rs)
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  in Pretty.big_list kind (map (Display.pretty_thm_item ctxt) thms) end;
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(* context data *)
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structure Data = Generic_Data
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(
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  type T = (rules * rules) * (rules * rules) * (rules * rules) * simpset;
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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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     simpset_of (empty_simpset @{context}
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      addsimprocs [rearrange_eqs_simproc] addsimps [Drule.norm_hhf_eq]));
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  val extend = I;
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  fun merge (((casesT1, casesP1), (inductT1, inductP1), (coinductT1, coinductP1), simpset1),
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      ((casesT2, casesP2), (inductT2, inductP2), (coinductT2, coinductP2), simpset2)) =
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    ((Item_Net.merge (casesT1, casesT2), Item_Net.merge (casesP1, casesP2)),
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     (Item_Net.merge (inductT1, inductT2), Item_Net.merge (inductP1, inductP2)),
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     (Item_Net.merge (coinductT1, coinductT2), Item_Net.merge (coinductP1, coinductP2)),
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     merge_ss (simpset1, simpset2));
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);
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val get_local = Data.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 = Item_Net.content casesT,
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     pred_cases = Item_Net.content casesP,
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     type_induct = Item_Net.content inductT,
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     pred_induct = Item_Net.content inductP,
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     type_coinduct = Item_Net.content coinductT,
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     pred_coinduct = Item_Net.content 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.writeln_chunks
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  end;
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val _ =
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  Outer_Syntax.improper_command @{command_spec "print_induct_rules"}
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    "print induction and cases rules"
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    (Scan.succeed (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 (Item_Net.retrieve (which (get_local ctxt)) (how x));
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val find_casesT = find_rules (#1 o #1) Net.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) Net.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) Net.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 =
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  Thm.mixed_attribute (fn (context, thm) =>
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    let
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      val thm' = g thm;
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      val context' = Data.map (f (name, thm')) context;
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    in (context', thm') end);
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fun del_att which =
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  Thm.declaration_attribute (fn th => Data.map (which (pairself (fn rs =>
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    fold Item_Net.remove (filter_rules rs th) rs))));
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fun map1 f (x, y, z, s) = (f x, y, z, s);
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fun map2 f (x, y, z, s) = (x, f y, z, s);
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fun map3 f (x, y, z, s) = (x, y, f z, s);
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fun map4 f (x, y, z, s) = (x, y, z, f s);
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fun add_casesT rule x = map1 (apfst (Item_Net.update rule)) x;
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fun add_casesP rule x = map1 (apsnd (Item_Net.update rule)) x;
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fun add_inductT rule x = map2 (apfst (Item_Net.update rule)) x;
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fun add_inductP rule x = map2 (apsnd (Item_Net.update rule)) x;
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fun add_coinductT rule x = map3 (apfst (Item_Net.update rule)) x;
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fun add_coinductP rule x = map3 (apsnd (Item_Net.update rule)) x;
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val consumes0 = Rule_Cases.default_consumes 0;
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val consumes1 = Rule_Cases.default_consumes 1;
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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 cases_del = del_att map1;
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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 induct_del = del_att map2;
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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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val coinduct_del = del_att map3;
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51717
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fun map_simpset f context =
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  context |> (Data.map o map4 o Simplifier.simpset_map (Context.proof_of context)) f;
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fun induct_simp f =
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  Thm.declaration_attribute (fn thm => map_simpset (fn ctxt => f (ctxt, [thm])));
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val induct_simp_add = induct_simp (op addsimps);
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val induct_simp_del = induct_simp (op delsimps);
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end;
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(** attribute syntax **)
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val no_simpN = "no_simp";
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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 del =
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  spec typeN (Args.type_name {proper = false, strict = false}) >> add_type ||
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  spec predN (Args.const {proper = false, strict = false}) >> add_pred ||
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  spec setN (Args.const {proper = false, strict = false}) >> add_pred ||
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  Scan.lift Args.del >> K del;
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in
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val attrib_setup =
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  Attrib.setup @{binding cases} (attrib cases_type cases_pred cases_del)
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    "declaration of cases rule" #>
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  Attrib.setup @{binding induct} (attrib induct_type induct_pred induct_del)
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    "declaration of induction rule" #>
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  Attrib.setup @{binding coinduct} (attrib coinduct_type coinduct_pred coinduct_del)
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    "declaration of coinduction rule" #>
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  Attrib.setup @{binding induct_simp} (Attrib.add_del induct_simp_add induct_simp_del)
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    "declaration of rules for simplifying induction or cases rules";
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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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   390
  let val m = length xs and n = length ys
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  in if m < n then error msg else (take n xs ~~ ys) end;
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   393
fun align_right msg xs ys =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   394
  let val m = length xs and n = length ys
33957
e9afca2118d4 normalized uncurry take/drop
haftmann
parents: 33955
diff changeset
   395
  in if m < n then error msg else (drop (m - n) xs ~~ ys) end;
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   396
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   397
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   398
(* prep_inst *)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   399
32432
64f30bdd3ba1 modernized messages -- eliminated ctyp/cterm operations;
wenzelm
parents: 32188
diff changeset
   400
fun prep_inst ctxt align tune (tm, ts) =
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   401
  let
42361
23f352990944 modernized structure Proof_Context;
wenzelm
parents: 42284
diff changeset
   402
    val cert = Thm.cterm_of (Proof_Context.theory_of ctxt);
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   403
    fun prep_var (x, SOME t) =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   404
          let
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   405
            val cx = cert x;
26626
c6231d64d264 rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26568
diff changeset
   406
            val xT = #T (Thm.rep_cterm cx);
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   407
            val ct = cert (tune t);
32432
64f30bdd3ba1 modernized messages -- eliminated ctyp/cterm operations;
wenzelm
parents: 32188
diff changeset
   408
            val tT = #T (Thm.rep_cterm ct);
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   409
          in
32432
64f30bdd3ba1 modernized messages -- eliminated ctyp/cterm operations;
wenzelm
parents: 32188
diff changeset
   410
            if Type.could_unify (tT, xT) then SOME (cx, ct)
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   411
            else error (Pretty.string_of (Pretty.block
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   412
             [Pretty.str "Ill-typed instantiation:", Pretty.fbrk,
32432
64f30bdd3ba1 modernized messages -- eliminated ctyp/cterm operations;
wenzelm
parents: 32188
diff changeset
   413
              Syntax.pretty_term ctxt (Thm.term_of ct), Pretty.str " ::", Pretty.brk 1,
64f30bdd3ba1 modernized messages -- eliminated ctyp/cterm operations;
wenzelm
parents: 32188
diff changeset
   414
              Syntax.pretty_typ ctxt tT]))
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   415
          end
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   416
      | prep_var (_, NONE) = NONE;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   417
    val xs = vars_of tm;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   418
  in
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   419
    align "Rule has fewer variables than instantiations given" xs ts
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   420
    |> map_filter prep_var
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   421
  end;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   422
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   423
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   424
(* trace_rules *)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   425
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   426
fun trace_rules _ kind [] = error ("Unable to figure out " ^ kind ^ " rule")
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   427
  | trace_rules ctxt _ rules = Method.trace ctxt rules;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   428
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   429
34987
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   430
(* mark equality constraints in cases rule *)
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   431
37524
a9e38cdbfe07 tuned auxiliary structures;
wenzelm
parents: 37523
diff changeset
   432
val equal_def' = Thm.symmetric Induct_Args.equal_def;
34987
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   433
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   434
fun mark_constraints n ctxt = Conv.fconv_rule
45130
563caf031b50 tuned ML style;
wenzelm
parents: 45014
diff changeset
   435
  (Conv.prems_conv ~1 (Conv.params_conv ~1 (K (Conv.prems_conv n
54742
7a86358a3c0b proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents: 53168
diff changeset
   436
     (Raw_Simplifier.rewrite ctxt false [equal_def']))) ctxt));
34987
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   437
54742
7a86358a3c0b proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents: 53168
diff changeset
   438
fun unmark_constraints ctxt =
7a86358a3c0b proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents: 53168
diff changeset
   439
  Conv.fconv_rule (Raw_Simplifier.rewrite ctxt true [Induct_Args.equal_def]);
34987
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   440
37525
a5ac274798fc misc tuning;
wenzelm
parents: 37524
diff changeset
   441
34987
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   442
(* simplify *)
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   443
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   444
fun simplify_conv' ctxt =
51717
9e7d1c139569 simplifier uses proper Proof.context instead of historic type simpset;
wenzelm
parents: 51658
diff changeset
   445
  Simplifier.full_rewrite (put_simpset (#4 (get_local ctxt)) ctxt);
34987
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   446
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   447
fun simplify_conv ctxt ct =
37524
a9e38cdbfe07 tuned auxiliary structures;
wenzelm
parents: 37523
diff changeset
   448
  if exists_subterm (is_some o Induct_Args.dest_def) (term_of ct) then
34987
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   449
    (Conv.try_conv (rulify_defs_conv ctxt) then_conv simplify_conv' ctxt) ct
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   450
  else Conv.all_conv ct;
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   451
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   452
fun gen_simplified_rule cv ctxt =
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   453
  Conv.fconv_rule (Conv.prems_conv ~1 (cv ctxt));
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   454
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   455
val simplified_rule' = gen_simplified_rule simplify_conv';
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   456
val simplified_rule = gen_simplified_rule simplify_conv;
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   457
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   458
fun simplify_tac ctxt = CONVERSION (simplify_conv ctxt);
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   459
37524
a9e38cdbfe07 tuned auxiliary structures;
wenzelm
parents: 37523
diff changeset
   460
val trivial_tac = Induct_Args.trivial_tac;
34987
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   461
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   462
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   463
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   464
(** cases method **)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   465
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   466
(*
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   467
  rule selection scheme:
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   468
          cases         - default case split
24861
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   469
    `A t` cases ...     - predicate/set cases
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   470
          cases t       - type cases
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   471
    ...   cases ... r   - explicit rule
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   472
*)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   473
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   474
local
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   475
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   476
fun get_casesT ctxt ((SOME t :: _) :: _) = find_casesT 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
   477
  | get_casesT _ _ = [];
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   478
24861
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   479
fun get_casesP ctxt (fact :: _) = find_casesP ctxt (Thm.concl_of fact)
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   480
  | get_casesP _ _ = [];
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   481
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   482
in
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   483
34987
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   484
fun cases_tac ctxt simp insts opt_rule facts =
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   485
  let
42361
23f352990944 modernized structure Proof_Context;
wenzelm
parents: 42284
diff changeset
   486
    val thy = Proof_Context.theory_of ctxt;
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   487
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   488
    fun inst_rule r =
34987
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   489
      (if null insts then r
45131
d7e4a7ab1061 misc tuning and clarification;
wenzelm
parents: 45130
diff changeset
   490
       else
d7e4a7ab1061 misc tuning and clarification;
wenzelm
parents: 45130
diff changeset
   491
         (align_left "Rule has fewer premises than arguments given" (Thm.prems_of r) insts
d7e4a7ab1061 misc tuning and clarification;
wenzelm
parents: 45130
diff changeset
   492
           |> maps (prep_inst ctxt align_left I)
d7e4a7ab1061 misc tuning and clarification;
wenzelm
parents: 45130
diff changeset
   493
           |> Drule.cterm_instantiate) r)
d7e4a7ab1061 misc tuning and clarification;
wenzelm
parents: 45130
diff changeset
   494
      |> simp ? mark_constraints (Rule_Cases.get_constraints r) ctxt
d7e4a7ab1061 misc tuning and clarification;
wenzelm
parents: 45130
diff changeset
   495
      |> pair (Rule_Cases.get r);
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   496
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   497
    val ruleq =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   498
      (case opt_rule of
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   499
        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
   500
      | NONE =>
37524
a9e38cdbfe07 tuned auxiliary structures;
wenzelm
parents: 37523
diff changeset
   501
          (get_casesP ctxt facts @ get_casesT ctxt insts @ [Induct_Args.cases_default])
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   502
          |> tap (trace_rules ctxt casesN)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   503
          |> 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
   504
  in
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   505
    fn i => fn st =>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   506
      ruleq
54742
7a86358a3c0b proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents: 53168
diff changeset
   507
      |> Seq.maps (Rule_Cases.consume ctxt [] facts)
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   508
      |> Seq.maps (fn ((cases, (_, more_facts)), rule) =>
45131
d7e4a7ab1061 misc tuning and clarification;
wenzelm
parents: 45130
diff changeset
   509
        let
d7e4a7ab1061 misc tuning and clarification;
wenzelm
parents: 45130
diff changeset
   510
          val rule' = rule
54742
7a86358a3c0b proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents: 53168
diff changeset
   511
            |> simp ? (simplified_rule' ctxt #> unmark_constraints ctxt);
34987
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   512
        in
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   513
          CASES (Rule_Cases.make_common (thy,
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   514
              Thm.prop_of (Rule_Cases.internalize_params rule')) cases)
45130
563caf031b50 tuned ML style;
wenzelm
parents: 45014
diff changeset
   515
            ((Method.insert_tac more_facts THEN' rtac rule' THEN_ALL_NEW
34987
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   516
                (if simp then TRY o trivial_tac else K all_tac)) i) st
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   517
        end)
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   518
  end;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   519
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   520
end;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   521
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   522
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   523
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   524
(** induct method **)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   525
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   526
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
   527
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   528
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   529
(* atomize *)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   530
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   531
fun atomize_term thy =
41228
e1fce873b814 renamed structure MetaSimplifier to raw_Simplifer, to emphasize its meaning;
wenzelm
parents: 38715
diff changeset
   532
  Raw_Simplifier.rewrite_term thy Induct_Args.atomize []
35625
9c818cab0dd0 modernized structure Object_Logic;
wenzelm
parents: 35624
diff changeset
   533
  #> Object_Logic.drop_judgment thy;
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   534
54742
7a86358a3c0b proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents: 53168
diff changeset
   535
fun atomize_cterm ctxt = Raw_Simplifier.rewrite ctxt true Induct_Args.atomize;
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   536
54742
7a86358a3c0b proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents: 53168
diff changeset
   537
fun atomize_tac ctxt = rewrite_goal_tac ctxt Induct_Args.atomize;
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   538
54742
7a86358a3c0b proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents: 53168
diff changeset
   539
fun inner_atomize_tac ctxt =
7a86358a3c0b proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents: 53168
diff changeset
   540
  rewrite_goal_tac ctxt (map Thm.symmetric conjunction_congs) THEN' atomize_tac ctxt;
24830
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
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   543
(* rulify *)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   544
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   545
fun rulify_term thy =
41228
e1fce873b814 renamed structure MetaSimplifier to raw_Simplifer, to emphasize its meaning;
wenzelm
parents: 38715
diff changeset
   546
  Raw_Simplifier.rewrite_term thy (Induct_Args.rulify @ conjunction_congs) [] #>
e1fce873b814 renamed structure MetaSimplifier to raw_Simplifer, to emphasize its meaning;
wenzelm
parents: 38715
diff changeset
   547
  Raw_Simplifier.rewrite_term thy Induct_Args.rulify_fallback [];
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   548
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   549
fun rulified_term thm =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   550
  let
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   551
    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
   552
    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
   553
    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
   554
  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
   555
54742
7a86358a3c0b proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents: 53168
diff changeset
   556
fun rulify_tac ctxt =
7a86358a3c0b proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents: 53168
diff changeset
   557
  rewrite_goal_tac ctxt (Induct_Args.rulify @ conjunction_congs) THEN'
7a86358a3c0b proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents: 53168
diff changeset
   558
  rewrite_goal_tac ctxt Induct_Args.rulify_fallback THEN'
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   559
  Goal.conjunction_tac THEN_ALL_NEW
54742
7a86358a3c0b proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents: 53168
diff changeset
   560
  (rewrite_goal_tac ctxt [@{thm Pure.conjunction_imp}] THEN' Goal.norm_hhf_tac ctxt);
24830
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
(* prepare rule *)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   564
32432
64f30bdd3ba1 modernized messages -- eliminated ctyp/cterm operations;
wenzelm
parents: 32188
diff changeset
   565
fun rule_instance ctxt inst rule =
64f30bdd3ba1 modernized messages -- eliminated ctyp/cterm operations;
wenzelm
parents: 32188
diff changeset
   566
  Drule.cterm_instantiate (prep_inst ctxt align_left I (Thm.prop_of rule, inst)) rule;
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   567
54742
7a86358a3c0b proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents: 53168
diff changeset
   568
fun internalize ctxt k th =
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   569
  th |> Thm.permute_prems 0 k
54742
7a86358a3c0b proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents: 53168
diff changeset
   570
  |> Conv.fconv_rule (Conv.concl_conv (Thm.nprems_of th - k) (atomize_cterm ctxt));
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   571
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
(* 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
   574
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   575
local
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   576
32032
a6a6e8031c14 tuned/modernized Envir operations;
wenzelm
parents: 30722
diff changeset
   577
fun dest_env thy env =
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   578
  let
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
    val certT = Thm.ctyp_of thy;
32032
a6a6e8031c14 tuned/modernized Envir operations;
wenzelm
parents: 30722
diff changeset
   581
    val pairs = Vartab.dest (Envir.term_env env);
a6a6e8031c14 tuned/modernized Envir operations;
wenzelm
parents: 30722
diff changeset
   582
    val types = Vartab.dest (Envir.type_env env);
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   583
    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
   584
    val xs = map2 (curry (cert o Var)) (map #1 pairs) (map (#T o Thm.rep_cterm) ts);
32032
a6a6e8031c14 tuned/modernized Envir operations;
wenzelm
parents: 30722
diff changeset
   585
  in (map (fn (xi, (S, T)) => (certT (TVar (xi, S)), certT T)) types, xs ~~ ts) end;
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   586
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   587
in
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   588
26940
80df961f7900 guess_instance: proper context;
wenzelm
parents: 26924
diff changeset
   589
fun guess_instance ctxt rule i st =
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   590
  let
42361
23f352990944 modernized structure Proof_Context;
wenzelm
parents: 42284
diff changeset
   591
    val thy = Proof_Context.theory_of ctxt;
26626
c6231d64d264 rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents: 26568
diff changeset
   592
    val maxidx = Thm.maxidx_of st;
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   593
    val goal = Thm.term_of (Thm.cprem_of st i);  (*exception Subscript*)
29276
94b1ffec9201 qualified Term.rename_wrt_term;
wenzelm
parents: 28965
diff changeset
   594
    val params = rev (Term.rename_wrt_term goal (Logic.strip_params goal));
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   595
  in
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   596
    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
   597
      (warning ("Cannot determine rule instantiation due to pending parameter(s): " ^
49660
de49d9b4d7bc more explicit Syntax_Trans.mark_bound_abs/mark_bound_body: preserve type information for show_markup;
wenzelm
parents: 47060
diff changeset
   598
        commas_quote (map (Syntax.string_of_term ctxt o Syntax_Trans.mark_bound_abs) params));
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   599
      Seq.single rule)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   600
    else
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   601
      let
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   602
        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
   603
        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
   604
      in
32032
a6a6e8031c14 tuned/modernized Envir operations;
wenzelm
parents: 30722
diff changeset
   605
        Unify.smash_unifiers thy [(Thm.concl_of rule', concl)] (Envir.empty (Thm.maxidx_of rule'))
43333
2bdec7f430d3 renamed Drule.instantiate to Drule.instantiate_normalize to emphasize its meaning as opposed to plain Thm.instantiate;
wenzelm
parents: 43326
diff changeset
   606
        |> Seq.map (fn env => Drule.instantiate_normalize (dest_env thy env) rule')
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   607
      end
43333
2bdec7f430d3 renamed Drule.instantiate to Drule.instantiate_normalize to emphasize its meaning as opposed to plain Thm.instantiate;
wenzelm
parents: 43326
diff changeset
   608
  end
2bdec7f430d3 renamed Drule.instantiate to Drule.instantiate_normalize to emphasize its meaning as opposed to plain Thm.instantiate;
wenzelm
parents: 43326
diff changeset
   609
  handle General.Subscript => Seq.empty;
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   610
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   611
end;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   612
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   613
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   614
(* 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
   615
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   616
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
   617
      let
42488
4638622bcaa1 reorganized fixes as specialized (global) name space;
wenzelm
parents: 42361
diff changeset
   618
        val x = Name.clean (Variable.revert_fixed ctxt z);
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   619
        fun index i [] = []
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   620
          | index i (y :: ys) =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   621
              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
   622
              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
   623
        fun rename_params [] = []
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   624
          | 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
   625
              (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
   626
          | 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
   627
        fun rename_asm A =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   628
          let
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   629
            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
   630
            val xs' =
28375
c879d88d038a eliminated polymorphic equality;
wenzelm
parents: 28083
diff changeset
   631
              (case filter (fn x' => x' = x) xs of
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   632
                [] => xs | [_] => xs | _ => index 1 xs);
45328
e5b33eecbf6e tuned signature;
wenzelm
parents: 45156
diff changeset
   633
          in Logic.list_rename_params xs' A end;
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   634
        fun rename_prop p =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   635
          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
   636
          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
   637
        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
   638
        val thm' = Thm.equal_elim (Thm.reflexive cp') thm;
33368
b1cf34f1855c modernized structure Rule_Cases;
wenzelm
parents: 33303
diff changeset
   639
      in [Rule_Cases.save thm thm'] end
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   640
  | 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
   641
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   642
45132
09de0d0de645 tuned signature;
wenzelm
parents: 45131
diff changeset
   643
(* arbitrary_tac *)
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   644
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   645
local
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   646
56245
84fc7dfa3cd4 more qualified names;
wenzelm
parents: 56231
diff changeset
   647
fun goal_prefix k ((c as Const (@{const_name Pure.all}, _)) $ Abs (a, T, B)) =
84fc7dfa3cd4 more qualified names;
wenzelm
parents: 56231
diff changeset
   648
      c $ Abs (a, T, goal_prefix k B)
45156
a9b6c2ea7bec added Term.dummy_pattern conveniences;
wenzelm
parents: 45132
diff changeset
   649
  | goal_prefix 0 _ = Term.dummy_prop
56245
84fc7dfa3cd4 more qualified names;
wenzelm
parents: 56231
diff changeset
   650
  | goal_prefix k ((c as Const (@{const_name Pure.imp}, _)) $ A $ B) =
84fc7dfa3cd4 more qualified names;
wenzelm
parents: 56231
diff changeset
   651
      c $ A $ goal_prefix (k - 1) B
45156
a9b6c2ea7bec added Term.dummy_pattern conveniences;
wenzelm
parents: 45132
diff changeset
   652
  | goal_prefix _ _ = Term.dummy_prop;
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   653
56245
84fc7dfa3cd4 more qualified names;
wenzelm
parents: 56231
diff changeset
   654
fun goal_params k (Const (@{const_name Pure.all}, _) $ Abs (_, _, B)) = goal_params k B + 1
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   655
  | goal_params 0 _ = 0
56245
84fc7dfa3cd4 more qualified names;
wenzelm
parents: 56231
diff changeset
   656
  | goal_params k (Const (@{const_name Pure.imp}, _) $ _ $ B) = goal_params (k - 1) B
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   657
  | goal_params _ _ = 0;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   658
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   659
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
   660
  let
42361
23f352990944 modernized structure Proof_Context;
wenzelm
parents: 42284
diff changeset
   661
    val thy = Proof_Context.theory_of ctxt;
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   662
    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
   663
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   664
    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
   665
    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
   666
      @{thm Pure.meta_spec}
42488
4638622bcaa1 reorganized fixes as specialized (global) name space;
wenzelm
parents: 42361
diff changeset
   667
      |> Thm.rename_params_rule ([Name.clean (Variable.revert_fixed ctxt x)], 1)
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   668
      |> 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
   669
      |> `(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
   670
      |-> (fn pred $ arg =>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   671
        Drule.cterm_instantiate
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   672
          [(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
   673
           (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
   674
56245
84fc7dfa3cd4 more qualified names;
wenzelm
parents: 56231
diff changeset
   675
    fun goal_concl k xs (Const (@{const_name Pure.all}, _) $ Abs (a, T, B)) =
84fc7dfa3cd4 more qualified names;
wenzelm
parents: 56231
diff changeset
   676
          goal_concl k ((a, T) :: xs) B
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   677
      | 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
   678
          if not (Term.exists_subterm (fn t => t aconv v) B) then NONE
44241
7943b69f0188 modernized signature of Term.absfree/absdummy;
wenzelm
parents: 43333
diff changeset
   679
          else SOME (xs, absfree (x, T) (Term.incr_boundvars 1 B))
56245
84fc7dfa3cd4 more qualified names;
wenzelm
parents: 56231
diff changeset
   680
      | goal_concl k xs (Const (@{const_name Pure.imp}, _) $ _ $ B) =
84fc7dfa3cd4 more qualified names;
wenzelm
parents: 56231
diff changeset
   681
          goal_concl (k - 1) xs B
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   682
      | goal_concl _ _ _ = NONE;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   683
  in
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   684
    (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
   685
      SOME concl =>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   686
        (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
   687
    | NONE => all_tac)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   688
  end);
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   689
54742
7a86358a3c0b proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents: 53168
diff changeset
   690
fun miniscope_tac p =
7a86358a3c0b proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents: 53168
diff changeset
   691
  CONVERSION o
7a86358a3c0b proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents: 53168
diff changeset
   692
    Conv.params_conv p (fn ctxt =>
7a86358a3c0b proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents: 53168
diff changeset
   693
      Raw_Simplifier.rewrite ctxt 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
   694
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   695
in
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   696
45132
09de0d0de645 tuned signature;
wenzelm
parents: 45131
diff changeset
   697
fun arbitrary_tac _ _ [] = K all_tac
09de0d0de645 tuned signature;
wenzelm
parents: 45131
diff changeset
   698
  | arbitrary_tac ctxt n xs = SUBGOAL (fn (goal, i) =>
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   699
     (EVERY' (map (meta_spec_tac ctxt n) xs) THEN'
24832
64cd13299d39 Conv.forall_conv: proper context;
wenzelm
parents: 24830
diff changeset
   700
      (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
   701
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   702
end;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   703
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   704
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   705
(* add_defs *)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   706
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   707
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
   708
  let
34907
b0aaec87751c Added infrastructure for simplifying equality constraints.
berghofe
parents: 33957
diff changeset
   709
    fun add (SOME (_, (t, true))) ctxt = ((SOME t, []), ctxt)
b0aaec87751c Added infrastructure for simplifying equality constraints.
berghofe
parents: 33957
diff changeset
   710
      | add (SOME (SOME x, (t, _))) ctxt =
28083
103d9282a946 explicit type Name.binding for higher-specification elements;
wenzelm
parents: 27865
diff changeset
   711
          let val ([(lhs, (_, th))], ctxt') =
49748
a346daa8a1f4 clarified Local_Defs.add_def(s): refrain from hard-wiring Thm.def_binding_optional;
wenzelm
parents: 49660
diff changeset
   712
            Local_Defs.add_defs [((x, NoSyn), ((Thm.def_binding x, []), t))] ctxt
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   713
          in ((SOME lhs, [th]), ctxt') end
34907
b0aaec87751c Added infrastructure for simplifying equality constraints.
berghofe
parents: 33957
diff changeset
   714
      | add (SOME (NONE, (t as Free _, _))) ctxt = ((SOME t, []), ctxt)
b0aaec87751c Added infrastructure for simplifying equality constraints.
berghofe
parents: 33957
diff changeset
   715
      | add (SOME (NONE, (t, _))) ctxt =
b0aaec87751c Added infrastructure for simplifying equality constraints.
berghofe
parents: 33957
diff changeset
   716
          let
43326
47cf4bc789aa simplified Name.variant -- discontinued builtin fold_map;
wenzelm
parents: 43278
diff changeset
   717
            val (s, _) = Name.variant "x" (Variable.names_of ctxt);
49748
a346daa8a1f4 clarified Local_Defs.add_def(s): refrain from hard-wiring Thm.def_binding_optional;
wenzelm
parents: 49660
diff changeset
   718
            val x = Binding.name s;
a346daa8a1f4 clarified Local_Defs.add_def(s): refrain from hard-wiring Thm.def_binding_optional;
wenzelm
parents: 49660
diff changeset
   719
            val ([(lhs, (_, th))], ctxt') = ctxt
a346daa8a1f4 clarified Local_Defs.add_def(s): refrain from hard-wiring Thm.def_binding_optional;
wenzelm
parents: 49660
diff changeset
   720
              |> Local_Defs.add_defs [((x, NoSyn), ((Thm.def_binding x, []), t))];
34907
b0aaec87751c Added infrastructure for simplifying equality constraints.
berghofe
parents: 33957
diff changeset
   721
          in ((SOME lhs, [th]), ctxt') end
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   722
      | 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
   723
  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
   724
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   725
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   726
(* induct_tac *)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   727
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   728
(*
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   729
  rule selection scheme:
24861
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   730
    `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
   731
          induct x       - type induction
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   732
    ...   induct ... r   - explicit rule
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   733
*)
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 get_inductT ctxt insts =
32188
005f9abae1e3 eliminated redundant Library.multiply;
wenzelm
parents: 32171
diff changeset
   736
  fold_rev (map_product cons) (insts |> map
27323
385c0ce33173 tuned get_inductT: *all* rules for missing instantiation;
wenzelm
parents: 27140
diff changeset
   737
      ((fn [] => NONE | ts => List.last ts) #>
385c0ce33173 tuned get_inductT: *all* rules for missing instantiation;
wenzelm
parents: 27140
diff changeset
   738
        (fn NONE => TVar (("'a", 0), []) | SOME t => Term.fastype_of t) #>
385c0ce33173 tuned get_inductT: *all* rules for missing instantiation;
wenzelm
parents: 27140
diff changeset
   739
        find_inductT ctxt)) [[]]
33368
b1cf34f1855c modernized structure Rule_Cases;
wenzelm
parents: 33303
diff changeset
   740
  |> filter_out (forall Rule_Cases.is_inner_rule);
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   741
24861
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   742
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
   743
  | get_inductP _ _ = [];
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   744
45130
563caf031b50 tuned ML style;
wenzelm
parents: 45014
diff changeset
   745
type case_data = (((string * string list) * string list) list * int);
45014
0e847655b2d8 New proof method "induction" that gives induction hypotheses the name IH.
nipkow
parents: 44942
diff changeset
   746
0e847655b2d8 New proof method "induction" that gives induction hypotheses the name IH.
nipkow
parents: 44942
diff changeset
   747
fun gen_induct_tac mod_cases ctxt simp def_insts arbitrary taking opt_rule facts =
56231
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   748
  SUBGOAL_CASES (fn (_, i, st) =>
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   749
    let
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   750
      val thy = Proof_Context.theory_of ctxt;
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   751
  
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   752
      val ((insts, defs), defs_ctxt) = fold_map add_defs def_insts ctxt |>> split_list;
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   753
      val atomized_defs = map (map (Conv.fconv_rule (atomize_cterm defs_ctxt))) defs;
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   754
  
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   755
      fun inst_rule (concls, r) =
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   756
        (if null insts then `Rule_Cases.get r
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   757
         else (align_left "Rule has fewer conclusions than arguments given"
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   758
            (map Logic.strip_imp_concl (Logic.dest_conjunctions (Thm.concl_of r))) insts
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   759
          |> maps (prep_inst ctxt align_right (atomize_term thy))
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   760
          |> Drule.cterm_instantiate) r |> pair (Rule_Cases.get r))
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   761
        |> mod_cases thy
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   762
        |> (fn ((cases, consumes), th) => (((cases, concls), consumes), th));
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   763
  
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   764
      val ruleq =
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   765
        (case opt_rule of
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   766
          SOME rs => Seq.single (inst_rule (Rule_Cases.strict_mutual_rule ctxt rs))
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   767
        | NONE =>
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   768
            (get_inductP ctxt facts @
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   769
              map (special_rename_params defs_ctxt insts) (get_inductT ctxt insts))
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   770
            |> map_filter (Rule_Cases.mutual_rule ctxt)
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   771
            |> tap (trace_rules ctxt inductN o map #2)
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   772
            |> Seq.of_list |> Seq.maps (Seq.try inst_rule));
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   773
  
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   774
      fun rule_cases ctxt rule cases =
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   775
        let
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   776
          val rule' = Rule_Cases.internalize_params rule;
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   777
          val rule'' = rule' |> simp ? simplified_rule ctxt;
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   778
          val nonames = map (fn ((cn, _), cls) => ((cn, []), cls));
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   779
          val cases' = if Thm.eq_thm_prop (rule', rule'') then cases else nonames cases;
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   780
        in Rule_Cases.make_nested (Thm.prop_of rule'') (rulified_term rule'') cases' end;
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   781
    in
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   782
      fn st =>
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   783
        ruleq
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   784
        |> Seq.maps (Rule_Cases.consume defs_ctxt (flat defs) facts)
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   785
        |> Seq.maps (fn (((cases, concls), (more_consumes, more_facts)), rule) =>
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   786
          (PRECISE_CONJUNCTS (length concls) (ALLGOALS (fn j =>
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   787
            (CONJUNCTS (ALLGOALS
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   788
              let
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   789
                val adefs = nth_list atomized_defs (j - 1);
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   790
                val frees = fold (Term.add_frees o Thm.prop_of) adefs [];
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   791
                val xs = nth_list arbitrary (j - 1);
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   792
                val k = nth concls (j - 1) + more_consumes
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   793
              in
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   794
                Method.insert_tac (more_facts @ adefs) THEN'
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   795
                  (if simp then
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   796
                     rotate_tac k (length adefs) THEN'
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   797
                     arbitrary_tac defs_ctxt k (List.partition (member op = frees) xs |> op @)
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   798
                   else
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   799
                     arbitrary_tac defs_ctxt k xs)
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   800
               end)
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   801
            THEN' inner_atomize_tac defs_ctxt) j))
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   802
          THEN' atomize_tac defs_ctxt) i st |> Seq.maps (fn st' =>
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   803
              guess_instance ctxt (internalize ctxt more_consumes rule) i st'
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   804
              |> Seq.map (rule_instance ctxt (burrow_options (Variable.polymorphic ctxt) taking))
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   805
              |> Seq.maps (fn rule' =>
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   806
                CASES (rule_cases ctxt rule' cases)
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   807
                  (rtac rule' i THEN
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   808
                    PRIMITIVE (singleton (Proof_Context.export defs_ctxt ctxt))) st')))
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   809
      end)
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   810
      THEN_ALL_NEW_CASES
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   811
        ((if simp then simplify_tac ctxt THEN' (TRY o trivial_tac) else K all_tac)
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   812
         THEN_ALL_NEW rulify_tac ctxt);
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   813
45014
0e847655b2d8 New proof method "induction" that gives induction hypotheses the name IH.
nipkow
parents: 44942
diff changeset
   814
val induct_tac = gen_induct_tac (K I);
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   815
45130
563caf031b50 tuned ML style;
wenzelm
parents: 45014
diff changeset
   816
563caf031b50 tuned ML style;
wenzelm
parents: 45014
diff changeset
   817
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   818
(** coinduct method **)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   819
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   820
(*
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   821
  rule selection scheme:
24861
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   822
    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
   823
               coinduct x     - type coinduction
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   824
               coinduct ... r - explicit rule
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   825
*)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   826
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   827
local
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   828
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   829
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
   830
  | get_coinductT _ _ = [];
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   831
24861
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   832
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
   833
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   834
fun main_prop_of th =
33368
b1cf34f1855c modernized structure Rule_Cases;
wenzelm
parents: 33303
diff changeset
   835
  if Rule_Cases.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
   836
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   837
in
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   838
56231
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   839
fun coinduct_tac ctxt inst taking opt_rule facts = SUBGOAL_CASES (fn (goal, i, st) =>
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   840
  let
42361
23f352990944 modernized structure Proof_Context;
wenzelm
parents: 42284
diff changeset
   841
    val thy = Proof_Context.theory_of ctxt;
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   842
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   843
    fun inst_rule r =
33368
b1cf34f1855c modernized structure Rule_Cases;
wenzelm
parents: 33303
diff changeset
   844
      if null inst then `Rule_Cases.get r
32432
64f30bdd3ba1 modernized messages -- eliminated ctyp/cterm operations;
wenzelm
parents: 32188
diff changeset
   845
      else Drule.cterm_instantiate (prep_inst ctxt align_right I (main_prop_of r, inst)) r
33368
b1cf34f1855c modernized structure Rule_Cases;
wenzelm
parents: 33303
diff changeset
   846
        |> pair (Rule_Cases.get r);
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   847
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   848
    fun ruleq goal =
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   849
      (case opt_rule of
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   850
        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
   851
      | NONE =>
24861
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   852
          (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
   853
          |> 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
   854
          |> 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
   855
  in
56231
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   856
    fn st =>
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   857
      ruleq goal
54742
7a86358a3c0b proper context for basic Simplifier operations: rewrite_rule, rewrite_goals_rule, rewrite_goals_tac etc.;
wenzelm
parents: 53168
diff changeset
   858
      |> Seq.maps (Rule_Cases.consume ctxt [] facts)
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   859
      |> Seq.maps (fn ((cases, (_, more_facts)), rule) =>
26940
80df961f7900 guess_instance: proper context;
wenzelm
parents: 26924
diff changeset
   860
        guess_instance ctxt rule i st
32432
64f30bdd3ba1 modernized messages -- eliminated ctyp/cterm operations;
wenzelm
parents: 32188
diff changeset
   861
        |> Seq.map (rule_instance ctxt (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
   862
        |> Seq.maps (fn rule' =>
34907
b0aaec87751c Added infrastructure for simplifying equality constraints.
berghofe
parents: 33957
diff changeset
   863
          CASES (Rule_Cases.make_common (thy,
b0aaec87751c Added infrastructure for simplifying equality constraints.
berghofe
parents: 33957
diff changeset
   864
              Thm.prop_of (Rule_Cases.internalize_params rule')) cases)
56231
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   865
            (Method.insert_tac more_facts i THEN rtac rule' i) st))
b98813774a63 enforce subgoal boundaries via SUBGOAL/SUBGOAL_CASES -- clean tactical failure if out-of-range;
wenzelm
parents: 55954
diff changeset
   866
  end);
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   867
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   868
end;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   869
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   870
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   871
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   872
(** concrete syntax **)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   873
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   874
val arbitraryN = "arbitrary";
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   875
val takingN = "taking";
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   876
val ruleN = "rule";
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   877
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   878
local
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   879
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   880
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
   881
  | 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
   882
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   883
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
   884
  Scan.lift (Args.$$$ k -- Args.colon) |-- Scan.repeat arg :|--
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   885
    (fn names => Scan.peek (fn context => Scan.succeed (names |> map (fn name =>
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   886
      (case get (Context.proof_of context) name of SOME x => x
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   887
      | NONE => error ("No rule for " ^ k ^ " " ^ quote name))))));
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   888
24861
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   889
fun rule get_type get_pred =
55951
c07d184aebe9 tuned signature -- more uniform check_type_name/read_type_name;
wenzelm
parents: 54742
diff changeset
   890
  named_rule typeN (Args.type_name {proper = false, strict = false}) get_type ||
55954
a29aefc88c8d more uniform check_const/read_const;
wenzelm
parents: 55951
diff changeset
   891
  named_rule predN (Args.const {proper = false, strict = false}) get_pred ||
a29aefc88c8d more uniform check_const/read_const;
wenzelm
parents: 55951
diff changeset
   892
  named_rule setN (Args.const {proper = false, strict = false}) get_pred ||
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   893
  Scan.lift (Args.$$$ 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
   894
24861
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   895
val cases_rule = rule lookup_casesT lookup_casesP >> single_rule;
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   896
val induct_rule = rule lookup_inductT lookup_inductP;
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   897
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
   898
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   899
val inst = Scan.lift (Args.$$$ "_") >> K NONE || Args.term >> SOME;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   900
34907
b0aaec87751c Added infrastructure for simplifying equality constraints.
berghofe
parents: 33957
diff changeset
   901
val inst' = Scan.lift (Args.$$$ "_") >> K NONE ||
b0aaec87751c Added infrastructure for simplifying equality constraints.
berghofe
parents: 33957
diff changeset
   902
  Args.term >> (SOME o rpair false) ||
b0aaec87751c Added infrastructure for simplifying equality constraints.
berghofe
parents: 33957
diff changeset
   903
  Scan.lift (Args.$$$ "(") |-- (Args.term >> (SOME o rpair true)) --|
b0aaec87751c Added infrastructure for simplifying equality constraints.
berghofe
parents: 33957
diff changeset
   904
    Scan.lift (Args.$$$ ")");
b0aaec87751c Added infrastructure for simplifying equality constraints.
berghofe
parents: 33957
diff changeset
   905
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   906
val def_inst =
28083
103d9282a946 explicit type Name.binding for higher-specification elements;
wenzelm
parents: 27865
diff changeset
   907
  ((Scan.lift (Args.binding --| (Args.$$$ "\<equiv>" || Args.$$$ "==")) >> SOME)
34907
b0aaec87751c Added infrastructure for simplifying equality constraints.
berghofe
parents: 33957
diff changeset
   908
      -- (Args.term >> rpair false)) >> SOME ||
b0aaec87751c Added infrastructure for simplifying equality constraints.
berghofe
parents: 33957
diff changeset
   909
    inst' >> Option.map (pair NONE);
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   910
27370
8e8f96dfaf63 Args.context;
wenzelm
parents: 27323
diff changeset
   911
val free = Args.context -- Args.term >> (fn (_, Free v) => v | (ctxt, t) =>
8e8f96dfaf63 Args.context;
wenzelm
parents: 27323
diff changeset
   912
  error ("Bad free variable: " ^ Syntax.string_of_term ctxt t));
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   913
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   914
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
   915
  ((Args.$$$ arbitraryN || Args.$$$ takingN || Args.$$$ typeN ||
24861
cc669ca5f382 tuned Induct interface: prefer pred'' over set'';
wenzelm
parents: 24832
diff changeset
   916
    Args.$$$ 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
   917
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   918
val arbitrary = Scan.optional (Scan.lift (Args.$$$ arbitraryN -- Args.colon) |--
36960
01594f816e3a prefer structure Keyword, Parse, Parse_Spec, Outer_Syntax;
wenzelm
parents: 36602
diff changeset
   919
  Parse.and_list1' (Scan.repeat (unless_more_args free))) [];
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   920
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   921
val taking = Scan.optional (Scan.lift (Args.$$$ takingN -- Args.colon) |--
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   922
  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
   923
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   924
in
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   925
30722
623d4831c8cf simplified attribute and method setup: eliminating bottom-up styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents: 30560
diff changeset
   926
val cases_setup =
623d4831c8cf simplified attribute and method setup: eliminating bottom-up styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents: 30560
diff changeset
   927
  Method.setup @{binding cases}
53168
d998de7f0efc tuned signature;
wenzelm
parents: 52732
diff changeset
   928
    (Scan.lift (Args.mode no_simpN) --
36960
01594f816e3a prefer structure Keyword, Parse, Parse_Spec, Outer_Syntax;
wenzelm
parents: 36602
diff changeset
   929
      (Parse.and_list' (Scan.repeat (unless_more_args inst)) -- Scan.option cases_rule) >>
34987
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   930
      (fn (no_simp, (insts, opt_rule)) => fn ctxt =>
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   931
        METHOD_CASES (fn facts => Seq.DETERM (HEADGOAL
c1e8af37ee75 Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents: 34907
diff changeset
   932
          (cases_tac ctxt (not no_simp) insts opt_rule facts)))))
30722
623d4831c8cf simplified attribute and method setup: eliminating bottom-up styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents: 30560
diff changeset
   933
    "case analysis 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
   934
58002
0ed1e999a0fb simplified type Proof.method;
wenzelm
parents: 56334
diff changeset
   935
fun gen_induct_setup binding tac =
45014
0e847655b2d8 New proof method "induction" that gives induction hypotheses the name IH.
nipkow
parents: 44942
diff changeset
   936
  Method.setup binding
53168
d998de7f0efc tuned signature;
wenzelm
parents: 52732
diff changeset
   937
    (Scan.lift (Args.mode no_simpN) --
d998de7f0efc tuned signature;
wenzelm
parents: 52732
diff changeset
   938
      (Parse.and_list' (Scan.repeat (unless_more_args def_inst)) --
d998de7f0efc tuned signature;
wenzelm
parents: 52732
diff changeset
   939
        (arbitrary -- taking -- Scan.option induct_rule)) >>
58002
0ed1e999a0fb simplified type Proof.method;
wenzelm
parents: 56334
diff changeset
   940
      (fn (no_simp, (insts, ((arbitrary, taking), opt_rule))) => fn ctxt => fn facts =>
0ed1e999a0fb simplified type Proof.method;
wenzelm
parents: 56334
diff changeset
   941
        Seq.DETERM (HEADGOAL (tac ctxt (not no_simp) insts arbitrary taking opt_rule facts))))
30722
623d4831c8cf simplified attribute and method setup: eliminating bottom-up styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents: 30560
diff changeset
   942
    "induction 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
   943
45014
0e847655b2d8 New proof method "induction" that gives induction hypotheses the name IH.
nipkow
parents: 44942
diff changeset
   944
val induct_setup = gen_induct_setup @{binding induct} induct_tac;
0e847655b2d8 New proof method "induction" that gives induction hypotheses the name IH.
nipkow
parents: 44942
diff changeset
   945
30722
623d4831c8cf simplified attribute and method setup: eliminating bottom-up styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents: 30560
diff changeset
   946
val coinduct_setup =
623d4831c8cf simplified attribute and method setup: eliminating bottom-up styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents: 30560
diff changeset
   947
  Method.setup @{binding coinduct}
623d4831c8cf simplified attribute and method setup: eliminating bottom-up styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents: 30560
diff changeset
   948
    (Scan.repeat (unless_more_args inst) -- taking -- Scan.option coinduct_rule >>
58002
0ed1e999a0fb simplified type Proof.method;
wenzelm
parents: 56334
diff changeset
   949
      (fn ((insts, taking), opt_rule) => fn ctxt => fn facts =>
0ed1e999a0fb simplified type Proof.method;
wenzelm
parents: 56334
diff changeset
   950
        Seq.DETERM (HEADGOAL (coinduct_tac ctxt insts taking opt_rule facts))))
30722
623d4831c8cf simplified attribute and method setup: eliminating bottom-up styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents: 30560
diff changeset
   951
    "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
   952
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   953
end;
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   954
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   955
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   956
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   957
(** theory setup **)
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   958
30722
623d4831c8cf simplified attribute and method setup: eliminating bottom-up styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents: 30560
diff changeset
   959
val setup = attrib_setup #> cases_setup  #> induct_setup #> coinduct_setup;
24830
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   960
a7b3ab44d993 moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff changeset
   961
end;