src/HOL/BNF/Tools/bnf_fp_def_sugar.ML
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(*  Title:      HOL/BNF/Tools/bnf_fp_def_sugar.ML
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    Author:     Jasmin Blanchette, TU Muenchen
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    Copyright   2012
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Sugared datatype and codatatype constructions.
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*)
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signature BNF_FP_DEF_SUGAR =
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sig
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  type fp =
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    {lfp: bool,
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     index: int,
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     pre_bnfs: BNF_Def.bnf list,
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     fp_res: BNF_FP.fp_result,
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     ctr_wrap_res: BNF_Ctr_Sugar.ctr_wrap_result};
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  val fp_of: Proof.context -> string -> fp option
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  val derive_induct_fold_rec_thms_for_types: BNF_Def.bnf list -> term list -> term list -> thm ->
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    thm list -> thm list -> BNF_Def.bnf list -> BNF_Def.bnf list -> typ list -> typ list ->
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    typ list -> term list list -> thm list list -> term list -> term list -> thm list -> thm list ->
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    Proof.context ->
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    (thm * thm list * Args.src list) * (thm list list * Args.src list)
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    * (thm list list * Args.src list)
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  val derive_coinduct_unfold_corec_thms_for_types: BNF_Def.bnf list -> term list -> term list ->
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    thm -> thm -> thm list -> thm list -> thm list -> BNF_Def.bnf list -> BNF_Def.bnf list ->
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    typ list -> typ list -> typ list -> int list list -> int list list -> int list ->
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    term list list -> thm list list -> BNF_Ctr_Sugar.ctr_wrap_result list -> term list ->
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    term list -> thm list -> thm list -> Proof.context ->
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    (thm * thm list * thm * thm list * Args.src list) * (thm list list * thm list list * 'e list)
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    * (thm list list * thm list list) * (thm list list * thm list list * Args.src list)
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    * (thm list list * thm list list * Args.src list)
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    * (thm list list * thm list list * Args.src list)
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  val datatypes: bool ->
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    (mixfix list -> (string * sort) list option -> binding list -> binding list -> binding list ->
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      binding list list -> typ list * typ list list -> BNF_Def.bnf list -> local_theory ->
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      BNF_FP.fp_result * local_theory) ->
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    (bool * bool) * (((((binding * (typ * sort)) list * binding) * (binding * binding)) * mixfix) *
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      ((((binding * binding) * (binding * typ) list) * (binding * term) list) *
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        mixfix) list) list ->
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    local_theory -> local_theory
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  val parse_datatype_cmd: bool ->
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    (mixfix list -> (string * sort) list option -> binding list -> binding list -> binding list ->
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      binding list list -> typ list * typ list list -> BNF_Def.bnf list -> local_theory ->
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      BNF_FP.fp_result * local_theory) ->
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    (local_theory -> local_theory) parser
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end;
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structure BNF_FP_Def_Sugar : BNF_FP_DEF_SUGAR =
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struct
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open BNF_Util
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open BNF_Ctr_Sugar
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open BNF_Def
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open BNF_FP
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open BNF_FP_Def_Sugar_Tactics
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val EqN = "Eq_";
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type fp =
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  {lfp: bool,
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   index: int,
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   pre_bnfs: bnf list,
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   fp_res: fp_result,
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   ctr_wrap_res: ctr_wrap_result};
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fun eq_fp ({lfp = lfp1, index = index1, fp_res = fp_res1, ...} : fp,
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    {lfp = lfp2, index = index2, fp_res = fp_res2, ...} : fp) =
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  lfp1 = lfp2 andalso index1 = index2 andalso eq_fp_result (fp_res1, fp_res2);
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fun morph_fp phi {lfp, index, pre_bnfs, fp_res, ctr_wrap_res} =
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  {lfp = lfp, index = index, pre_bnfs = map (morph_bnf phi) pre_bnfs,
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   fp_res = morph_fp_result phi fp_res, ctr_wrap_res = morph_ctr_wrap_result phi ctr_wrap_res};
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structure Data = Generic_Data
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(
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  type T = fp Symtab.table;
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  val empty = Symtab.empty;
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  val extend = I;
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  val merge = Symtab.merge eq_fp;
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);
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val fp_of = Symtab.lookup o Data.get o Context.Proof;
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fun register_fp key fp =
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  Local_Theory.declaration {syntax = false, pervasive = true}
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    (fn phi => Data.map (Symtab.update_new (key, morph_fp phi fp)));
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val fp_name_of_ctor = fst o dest_Type o range_type o fastype_of;
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fun register_fps lfp pre_bnfs (fp_res as {ctors, ...}) ctr_wrap_ress lthy =
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  ((1, ctors), lthy)
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  |> fold (fn ctr_wrap_res => fn ((kk, ctor :: ctors), lthy) =>
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    ((kk + 1, ctors), register_fp (fp_name_of_ctor ctor) {lfp = lfp, index = kk,
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       pre_bnfs = pre_bnfs, fp_res = fp_res, ctr_wrap_res = ctr_wrap_res} lthy)) ctr_wrap_ress
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  |> snd;
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(* This function could produce clashes in contrived examples (e.g., "x.A", "x.x_A", "y.A"). *)
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fun quasi_unambiguous_case_names names =
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  let
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    val ps = map (`Long_Name.base_name) names;
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    val dups = Library.duplicates (op =) (map fst ps);
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    fun underscore s =
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      let val ss = space_explode Long_Name.separator s in
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        space_implode "_" (drop (length ss - 2) ss)
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      end;
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  in
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    map (fn (base, full) => if member (op =) dups base then underscore full else base) ps
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  end;
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val mp_conj = @{thm mp_conj};
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val simp_attrs = @{attributes [simp]};
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val code_simp_attrs = Code.add_default_eqn_attrib :: simp_attrs;
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fun split_list4 [] = ([], [], [], [])
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  | split_list4 ((x1, x2, x3, x4) :: xs) =
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    let val (xs1, xs2, xs3, xs4) = split_list4 xs;
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    in (x1 :: xs1, x2 :: xs2, x3 :: xs3, x4 :: xs4) end;
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fun add_components_of_typ (Type (s, Ts)) =
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    fold add_components_of_typ Ts #> cons (Long_Name.base_name s)
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  | add_components_of_typ _ = I;
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fun base_name_of_typ T = space_implode "_" (add_components_of_typ T []);
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fun exists_subtype_in Ts = exists_subtype (member (op =) Ts);
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fun resort_tfree S (TFree (s, _)) = TFree (s, S);
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fun typ_subst inst (T as Type (s, Ts)) =
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    (case AList.lookup (op =) inst T of
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      NONE => Type (s, map (typ_subst inst) Ts)
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    | SOME T' => T')
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  | typ_subst inst T = the_default T (AList.lookup (op =) inst T);
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fun variant_types ss Ss ctxt =
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  let
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    val (tfrees, _) =
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      fold_map2 (fn s => fn S => Name.variant s #> apfst (rpair S)) ss Ss (Variable.names_of ctxt);
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    val ctxt' = fold (Variable.declare_constraints o Logic.mk_type o TFree) tfrees ctxt;
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  in (tfrees, ctxt') end;
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val lists_bmoc = fold (fn xs => fn t => Term.list_comb (t, xs));
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fun mk_tupled_fun x f xs = HOLogic.tupled_lambda x (Term.list_comb (f, xs));
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fun mk_uncurried_fun f xs = mk_tupled_fun (HOLogic.mk_tuple xs) f xs;
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fun flat_rec unzipf xs =
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  let val ps = map unzipf xs in
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    (* The first line below gives the preferred order. The second line is for compatibility with the
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       old datatype package: *)
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(*
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    maps (op @) ps
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*)
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    maps fst ps @ maps snd ps
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  end;
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fun flat_predss_getterss qss fss = maps (op @) (qss ~~ fss);
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fun flat_preds_predsss_gettersss [] [qss] [fss] = flat_predss_getterss qss fss
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  | flat_preds_predsss_gettersss (p :: ps) (qss :: qsss) (fss :: fsss) =
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    p :: flat_predss_getterss qss fss @ flat_preds_predsss_gettersss ps qsss fsss;
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fun mk_flip (x, Type (_, [T1, Type (_, [T2, T3])])) =
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  Abs ("x", T1, Abs ("y", T2, Var (x, T2 --> T1 --> T3) $ Bound 0 $ Bound 1));
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fun flip_rels lthy n thm =
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  let
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    val Rs = Term.add_vars (prop_of thm) [];
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    val Rs' = rev (drop (length Rs - n) Rs);
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    val cRs = map (fn f => (certify lthy (Var f), certify lthy (mk_flip f))) Rs';
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  in
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    Drule.cterm_instantiate cRs thm
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  end;
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fun mk_ctor_or_dtor get_T Ts t =
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  let val Type (_, Ts0) = get_T (fastype_of t) in
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    Term.subst_atomic_types (Ts0 ~~ Ts) t
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  end;
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val mk_ctor = mk_ctor_or_dtor range_type;
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val mk_dtor = mk_ctor_or_dtor domain_type;
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fun mk_rec_like lfp Ts Us t =
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  let
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    val (bindings, body) = strip_type (fastype_of t);
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    val (f_Us, prebody) = split_last bindings;
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    val Type (_, Ts0) = if lfp then prebody else body;
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    val Us0 = distinct (op =) (map (if lfp then body_type else domain_type) f_Us);
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  in
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    Term.subst_atomic_types (Ts0 @ Us0 ~~ Ts @ Us) t
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  end;
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val mk_fp_rec_like_fun_types = fst o split_last o binder_types o fastype_of o hd;
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fun mk_fp_rec_like lfp As Cs fp_rec_likes0 =
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  map (mk_rec_like lfp As Cs) fp_rec_likes0
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  |> (fn ts => (ts, mk_fp_rec_like_fun_types ts));
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fun mk_rec_like_fun_arg_typess n ms = map2 dest_tupleT ms o dest_sumTN_balanced n o domain_type;
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fun massage_rec_fun_arg_typesss fpTs =
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  let
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    fun project_recT proj =
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      let
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        fun project (Type (s as @{type_name prod}, Ts as [T, U])) =
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            if member (op =) fpTs T then proj (T, U) else Type (s, map project Ts)
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          | project (Type (s, Ts)) = Type (s, map project Ts)
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          | project T = T;
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      in project end;
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    fun unzip_recT T =
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      if exists_subtype_in fpTs T then ([project_recT fst T], [project_recT snd T]) else ([T], []);
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  in
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    map (map (flat_rec unzip_recT))
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  end;
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val mk_fold_fun_typess = map2 (map2 (curry (op --->)));
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val mk_rec_fun_typess = mk_fold_fun_typess oo massage_rec_fun_arg_typesss;
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fun mk_fold_rec_terms_types fpTs Css ns mss ctor_fold_fun_Ts ctor_rec_fun_Ts lthy =
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  let
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    val y_Tsss = map3 mk_rec_like_fun_arg_typess ns mss ctor_fold_fun_Ts;
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    val g_Tss = mk_fold_fun_typess y_Tsss Css;
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    val ((gss, ysss), lthy) =
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      lthy
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      |> mk_Freess "f" g_Tss
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      ||>> mk_Freesss "x" y_Tsss;
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    val z_Tsss = map3 mk_rec_like_fun_arg_typess ns mss ctor_rec_fun_Ts;
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    val h_Tss = mk_rec_fun_typess fpTs z_Tsss Css;
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    val hss = map2 (map2 retype_free) h_Tss gss;
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    val zsss = map2 (map2 (map2 retype_free)) z_Tsss ysss;
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  in
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    (((gss, g_Tss, ysss), (hss, h_Tss, zsss)), lthy)
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  end;
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fun mk_unfold_corec_terms_types fpTs Cs ns mss dtor_unfold_fun_Ts dtor_corec_fun_Ts lthy =
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  let
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    (*avoid "'a itself" arguments in coiterators and corecursors*)
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    fun repair_arity [0] = [1]
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      | repair_arity ms = ms;
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    fun project_corecT proj =
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      let
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        fun project (Type (s as @{type_name sum}, Ts as [T, U])) =
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            if member (op =) fpTs T then proj (T, U) else Type (s, map project Ts)
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          | project (Type (s, Ts)) = Type (s, map project Ts)
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          | project T = T;
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      in project end;
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    fun unzip_corecT T =
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      if exists_subtype_in fpTs T then [project_corecT fst T, project_corecT snd T] else [T];
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    val p_Tss = map2 (fn n => replicate (Int.max (0, n - 1)) o mk_pred1T) ns Cs;
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    fun mk_types maybe_unzipT fun_Ts =
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      let
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        val f_sum_prod_Ts = map range_type fun_Ts;
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        val f_prod_Tss = map2 dest_sumTN_balanced ns f_sum_prod_Ts;
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        val f_Tsss = map2 (map2 dest_tupleT o repair_arity) mss f_prod_Tss;
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        val f_Tssss =
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          map2 (fn C => map (map (map (curry (op -->) C) o maybe_unzipT))) Cs f_Tsss;
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        val q_Tssss =
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          map (map (map (fn [_] => [] | [_, C] => [mk_pred1T (domain_type C)]))) f_Tssss;
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        val pf_Tss = map3 flat_preds_predsss_gettersss p_Tss q_Tssss f_Tssss;
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      in (q_Tssss, f_sum_prod_Ts, f_Tsss, f_Tssss, pf_Tss) end;
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    val (r_Tssss, g_sum_prod_Ts, g_Tsss, g_Tssss, pg_Tss) = mk_types single dtor_unfold_fun_Ts;
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    val (s_Tssss, h_sum_prod_Ts, h_Tsss, h_Tssss, ph_Tss) = mk_types unzip_corecT dtor_corec_fun_Ts;
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    val (((cs, pss), gssss), lthy) =
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      lthy
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      |> mk_Frees "a" Cs
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      ||>> mk_Freess "p" p_Tss
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      ||>> mk_Freessss "g" g_Tssss;
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    val rssss = map (map (map (fn [] => []))) r_Tssss;
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    val hssss_hd = map2 (map2 (map2 (fn T :: _ => fn [g] => retype_free T g))) h_Tssss gssss;
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    val ((sssss, hssss_tl), lthy) =
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      lthy
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      |> mk_Freessss "q" s_Tssss
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      ||>> mk_Freessss "h" (map (map (map tl)) h_Tssss);
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    val hssss = map2 (map2 (map2 cons)) hssss_hd hssss_tl;
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    val cpss = map2 (map o rapp) cs pss;
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    fun mk_terms qssss fssss =
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      let
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        val pfss = map3 flat_preds_predsss_gettersss pss qssss fssss;
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        val cqssss = map2 (map o map o map o rapp) cs qssss;
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        val cfssss = map2 (map o map o map o rapp) cs fssss;
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      in (pfss, cqssss, cfssss) end;
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    val unfold_terms = mk_terms rssss gssss;
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    val corec_terms = mk_terms sssss hssss;
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  in
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    ((cs, cpss, (unfold_terms, (g_sum_prod_Ts, g_Tsss, pg_Tss)),
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      (corec_terms, (h_sum_prod_Ts, h_Tsss, ph_Tss))), lthy)
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  end;
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fun mk_map live Ts Us t =
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  let val (Type (_, Ts0), Type (_, Us0)) = strip_typeN (live + 1) (fastype_of t) |>> List.last in
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    Term.subst_atomic_types (Ts0 @ Us0 ~~ Ts @ Us) t
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  end;
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fun mk_rel live Ts Us t =
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  let val [Type (_, Ts0), Type (_, Us0)] = binder_types (snd (strip_typeN live (fastype_of t))) in
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    Term.subst_atomic_types (Ts0 @ Us0 ~~ Ts @ Us) t
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  end;
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fun liveness_of_fp_bnf n bnf =
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  (case T_of_bnf bnf of
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    Type (_, Ts) => map (not o member (op =) (deads_of_bnf bnf)) Ts
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  | _ => replicate n false);
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fun cannot_merge_types () = error "Mutually recursive types must have the same type parameters";
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49298
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fun merge_type_arg T T' = if T = T' then T else cannot_merge_types ();
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fun merge_type_args (As, As') =
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  if length As = length As' then map2 merge_type_arg As As' else cannot_merge_types ();
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49591
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fun reassoc_conjs thm =
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  reassoc_conjs (thm RS @{thm conj_assoc[THEN iffD1]})
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  handle THM _ => thm;
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51767
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fun type_args_named_constrained_of ((((ncAs, _), _), _), _) = ncAs;
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fun type_binding_of ((((_, b), _), _), _) = b;
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fun map_binding_of (((_, (b, _)), _), _) = b;
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fun rel_binding_of (((_, (_, b)), _), _) = b;
49181
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fun mixfix_of ((_, mx), _) = mx;
49121
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fun ctr_specs_of (_, ctr_specs) = ctr_specs;
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fun disc_of ((((disc, _), _), _), _) = disc;
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fun ctr_of ((((_, ctr), _), _), _) = ctr;
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fun args_of (((_, args), _), _) = args;
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fun defaults_of ((_, ds), _) = ds;
49181
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fun ctr_mixfix_of (_, mx) = mx;
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   343
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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fun build_map lthy build_arg (Type (s, Ts)) (Type (_, Us)) =
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  let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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    val bnf = the (bnf_of lthy s);
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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    val live = live_of_bnf bnf;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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    val mapx = mk_map live Ts Us (map_of_bnf bnf);
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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    val TUs' = map dest_funT (fst (strip_typeN live (fastype_of mapx)));
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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  in Term.list_comb (mapx, map build_arg TUs') end;
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   351
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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   352
fun build_rel_step lthy build_arg (Type (s, Ts)) =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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   353
  let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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   354
    val bnf = the (bnf_of lthy s);
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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   355
    val live = live_of_bnf bnf;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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   356
    val rel = mk_rel live Ts Ts (rel_of_bnf bnf);
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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   357
    val Ts' = map domain_type (fst (strip_typeN live (fastype_of rel)));
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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   358
  in Term.list_comb (rel, map build_arg Ts') end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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   359
51827
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   360
fun derive_induct_fold_rec_thms_for_types pre_bnfs ctor_folds0 ctor_recs0 ctor_induct ctor_fold_thms
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    ctor_rec_thms nesting_bnfs nested_bnfs fpTs Cs As ctrss ctr_defss folds recs fold_defs rec_defs
836257faaad5 tuned signature
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   362
    lthy =
51808
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   363
  let
51827
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   364
    val ctr_Tsss = map (map (binder_types o fastype_of)) ctrss;
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   365
51815
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   366
    val nn = length pre_bnfs;
51827
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   367
    val ns = map length ctr_Tsss;
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   368
    val mss = map (map length) ctr_Tsss;
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   369
    val Css = map2 replicate ns Cs;
51815
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   370
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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   371
    val pre_map_defs = map map_def_of_bnf pre_bnfs;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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   372
    val pre_set_defss = map set_defs_of_bnf pre_bnfs;
51830
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   373
    val nesting_map_ids'' = map (unfold_thms lthy @{thms id_def} o map_id_of_bnf) nesting_bnfs;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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    val nested_map_comp's = map map_comp'_of_bnf nested_bnfs;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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   375
    val nested_map_ids'' = map (unfold_thms lthy @{thms id_def} o map_id_of_bnf) nested_bnfs;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
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   376
    val nested_set_map's = maps set_map'_of_bnf nested_bnfs;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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   377
51816
5f1dec4297da use base names, not full names
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diff changeset
   378
    val fp_b_names = map base_name_of_typ fpTs;
51811
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   379
51827
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   380
    val (_, ctor_fold_fun_Ts) = mk_fp_rec_like true As Cs ctor_folds0;
836257faaad5 tuned signature
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diff changeset
   381
    val (_, ctor_rec_fun_Ts) = mk_fp_rec_like true As Cs ctor_recs0;
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diff changeset
   382
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
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parents: 51833
diff changeset
   383
    val (((gss, _, _), (hss, _, _)), names_lthy0) =
56523caf372f Added maps, sets, rels to "simps" thm collection
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parents: 51833
diff changeset
   384
      mk_fold_rec_terms_types fpTs Css ns mss ctor_fold_fun_Ts ctor_rec_fun_Ts lthy;
51827
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   385
51832
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diff changeset
   386
    val ((((ps, ps'), xsss), us'), names_lthy) =
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diff changeset
   387
      names_lthy0
51808
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diff changeset
   388
      |> mk_Frees' "P" (map mk_pred1T fpTs)
51827
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diff changeset
   389
      ||>> mk_Freesss "x" ctr_Tsss
51816
5f1dec4297da use base names, not full names
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diff changeset
   390
      ||>> Variable.variant_fixes fp_b_names;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   391
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   392
    val us = map2 (curry Free) us' fpTs;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   393
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   394
    fun mk_sets_nested bnf =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   395
      let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   396
        val Type (T_name, Us) = T_of_bnf bnf;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   397
        val lives = lives_of_bnf bnf;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   398
        val sets = sets_of_bnf bnf;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   399
        fun mk_set U =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   400
          (case find_index (curry (op =) U) lives of
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   401
            ~1 => Term.dummy
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   402
          | i => nth sets i);
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   403
      in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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parents: 51805
diff changeset
   404
        (T_name, map mk_set Us)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   405
      end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   406
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   407
    val setss_nested = map mk_sets_nested nested_bnfs;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   408
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   409
    val (induct_thms, induct_thm) =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   410
      let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   411
        fun mk_set Ts t =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   412
          let val Type (_, Ts0) = domain_type (fastype_of t) in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   413
            Term.subst_atomic_types (Ts0 ~~ Ts) t
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   414
          end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   415
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   416
        fun mk_raw_prem_prems names_lthy (x as Free (s, T as Type (T_name, Ts0))) =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   417
            (case find_index (curry (op =) T) fpTs of
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   418
              ~1 =>
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   419
              (case AList.lookup (op =) setss_nested T_name of
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   420
                NONE => []
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   421
              | SOME raw_sets0 =>
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   422
                let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   423
                  val (Ts, raw_sets) =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   424
                    split_list (filter (exists_subtype_in fpTs o fst) (Ts0 ~~ raw_sets0));
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   425
                  val sets = map (mk_set Ts0) raw_sets;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   426
                  val (ys, names_lthy') = names_lthy |> mk_Frees s Ts;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   427
                  val xysets = map (pair x) (ys ~~ sets);
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   428
                  val ppremss = map (mk_raw_prem_prems names_lthy') ys;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   429
                in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   430
                  flat (map2 (map o apfst o cons) xysets ppremss)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   431
                end)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   432
            | kk => [([], (kk + 1, x))])
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   433
          | mk_raw_prem_prems _ _ = [];
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   434
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   435
        fun close_prem_prem xs t =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   436
          fold_rev Logic.all (map Free (drop (nn + length xs)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   437
            (rev (Term.add_frees t (map dest_Free xs @ ps'))))) t;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   438
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   439
        fun mk_prem_prem xs (xysets, (j, x)) =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   440
          close_prem_prem xs (Logic.list_implies (map (fn (x', (y, set)) =>
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   441
              HOLogic.mk_Trueprop (HOLogic.mk_mem (y, set $ x'))) xysets,
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   442
            HOLogic.mk_Trueprop (nth ps (j - 1) $ x)));
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   443
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   444
        fun mk_raw_prem phi ctr ctr_Ts =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
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diff changeset
   445
          let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   446
            val (xs, names_lthy') = names_lthy |> mk_Frees "x" ctr_Ts;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   447
            val pprems = maps (mk_raw_prem_prems names_lthy') xs;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   448
          in (xs, pprems, HOLogic.mk_Trueprop (phi $ Term.list_comb (ctr, xs))) end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   449
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   450
        fun mk_prem (xs, raw_pprems, concl) =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   451
          fold_rev Logic.all xs (Logic.list_implies (map (mk_prem_prem xs) raw_pprems, concl));
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   452
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   453
        val raw_premss = map3 (map2 o mk_raw_prem) ps ctrss ctr_Tsss;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   454
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   455
        val goal =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   456
          Library.foldr (Logic.list_implies o apfst (map mk_prem)) (raw_premss,
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   457
            HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj (map2 (curry (op $)) ps us)));
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   458
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   459
        val kksss = map (map (map (fst o snd) o #2)) raw_premss;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   460
51814
blanchet
parents: 51813
diff changeset
   461
        val ctor_induct' = ctor_induct OF (map mk_sumEN_tupled_balanced mss);
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   462
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   463
        val thm =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   464
          Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, ...} =>
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   465
            mk_induct_tac ctxt nn ns mss kksss (flat ctr_defss) ctor_induct' nested_set_map's
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   466
              pre_set_defss)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   467
          |> singleton (Proof_Context.export names_lthy lthy)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   468
          |> Thm.close_derivation;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   469
      in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   470
        `(conj_dests nn) thm
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   471
      end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   472
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   473
    val induct_cases = quasi_unambiguous_case_names (maps (map name_of_ctr) ctrss);
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   474
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   475
    val (fold_thmss, rec_thmss) =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   476
      let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   477
        val xctrss = map2 (map2 (curry Term.list_comb)) ctrss xsss;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   478
        val gfolds = map (lists_bmoc gss) folds;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   479
        val hrecs = map (lists_bmoc hss) recs;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   480
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   481
        fun mk_goal fss frec_like xctr f xs fxs =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   482
          fold_rev (fold_rev Logic.all) (xs :: fss)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   483
            (mk_Trueprop_eq (frec_like $ xctr, Term.list_comb (f, fxs)));
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   484
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   485
        fun build_rec_like frec_likes (T, U) =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   486
          if T = U then
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   487
            id_const T
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   488
          else
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   489
            (case find_index (curry (op =) T) fpTs of
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   490
              ~1 => build_map lthy (build_rec_like frec_likes) T U
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   491
            | kk => nth frec_likes kk);
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   492
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   493
        val mk_U = typ_subst (map2 pair fpTs Cs);
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   494
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   495
        fun unzip_rec_likes frec_likes combine (x as Free (_, T)) =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   496
          if exists_subtype_in fpTs T then
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   497
            combine (x, build_rec_like frec_likes (T, mk_U T) $ x)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   498
          else
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   499
            ([x], []);
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   500
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   501
        val gxsss = map (map (flat_rec (unzip_rec_likes gfolds (fn (_, t) => ([t], []))))) xsss;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   502
        val hxsss = map (map (flat_rec (unzip_rec_likes hrecs (pairself single)))) xsss;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   503
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   504
        val fold_goalss = map5 (map4 o mk_goal gss) gfolds xctrss gss xsss gxsss;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   505
        val rec_goalss = map5 (map4 o mk_goal hss) hrecs xctrss hss xsss hxsss;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   506
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   507
        val fold_tacss =
51814
blanchet
parents: 51813
diff changeset
   508
          map2 (map o mk_rec_like_tac pre_map_defs [] nesting_map_ids'' fold_defs) ctor_fold_thms
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   509
            ctr_defss;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   510
        val rec_tacss =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   511
          map2 (map o mk_rec_like_tac pre_map_defs nested_map_comp's
51814
blanchet
parents: 51813
diff changeset
   512
            (nested_map_ids'' @ nesting_map_ids'') rec_defs) ctor_rec_thms ctr_defss;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   513
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   514
        fun prove goal tac =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   515
          Goal.prove_sorry lthy [] [] goal (tac o #context)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   516
          |> Thm.close_derivation;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   517
      in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   518
        (map2 (map2 prove) fold_goalss fold_tacss, map2 (map2 prove) rec_goalss rec_tacss)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   519
      end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   520
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   521
    val induct_case_names_attr = Attrib.internal (K (Rule_Cases.case_names induct_cases));
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   522
  in
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   523
    ((induct_thm, induct_thms, [induct_case_names_attr]),
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   524
     (fold_thmss, code_simp_attrs), (rec_thmss, code_simp_attrs))
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   525
  end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   526
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   527
fun derive_coinduct_unfold_corec_thms_for_types pre_bnfs dtor_unfolds0 dtor_corecs0 dtor_coinduct
51814
blanchet
parents: 51813
diff changeset
   528
    dtor_strong_induct dtor_ctors dtor_unfold_thms dtor_corec_thms nesting_bnfs nested_bnfs fpTs Cs
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   529
    As kss mss ns ctrss ctr_defss ctr_wrap_ress unfolds corecs unfold_defs corec_defs lthy =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   530
  let
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   531
    val nn = length pre_bnfs;
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   532
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   533
    val pre_map_defs = map map_def_of_bnf pre_bnfs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   534
    val pre_rel_defs = map rel_def_of_bnf pre_bnfs;
51830
blanchet
parents: 51829
diff changeset
   535
    val nesting_map_ids'' = map (unfold_thms lthy @{thms id_def} o map_id_of_bnf) nesting_bnfs;
blanchet
parents: 51829
diff changeset
   536
    val nesting_rel_eqs = map rel_eq_of_bnf nesting_bnfs;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   537
    val nested_map_comp's = map map_comp'_of_bnf nested_bnfs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   538
    val nested_map_comps'' = map ((fn thm => thm RS sym) o map_comp_of_bnf) nested_bnfs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   539
    val nested_map_ids'' = map (unfold_thms lthy @{thms id_def} o map_id_of_bnf) nested_bnfs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   540
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   541
    val fp_b_names = map base_name_of_typ fpTs;
51811
1461426e2bf1 tuned function signatures
blanchet
parents: 51810
diff changeset
   542
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   543
    val (_, dtor_unfold_fun_Ts) = mk_fp_rec_like false As Cs dtor_unfolds0;
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   544
    val (_, dtor_corec_fun_Ts) = mk_fp_rec_like false As Cs dtor_corecs0;
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   545
51819
9df935196be9 use record instead of big tuple
blanchet
parents: 51816
diff changeset
   546
    val discss = map (map (mk_disc_or_sel As) o #discs) ctr_wrap_ress;
9df935196be9 use record instead of big tuple
blanchet
parents: 51816
diff changeset
   547
    val selsss = map (map (map (mk_disc_or_sel As)) o #selss) ctr_wrap_ress;
9df935196be9 use record instead of big tuple
blanchet
parents: 51816
diff changeset
   548
    val exhausts = map #exhaust ctr_wrap_ress;
9df935196be9 use record instead of big tuple
blanchet
parents: 51816
diff changeset
   549
    val disc_thmsss = map #disc_thmss ctr_wrap_ress;
9df935196be9 use record instead of big tuple
blanchet
parents: 51816
diff changeset
   550
    val discIss = map #discIs ctr_wrap_ress;
9df935196be9 use record instead of big tuple
blanchet
parents: 51816
diff changeset
   551
    val sel_thmsss = map #sel_thmss ctr_wrap_ress;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   552
51831
blanchet
parents: 51830
diff changeset
   553
    val ((cs, cpss, ((pgss, crssss, cgssss), _), ((phss, csssss, chssss), _)), names_lthy0) =
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
   554
      mk_unfold_corec_terms_types fpTs Cs ns mss dtor_unfold_fun_Ts dtor_corec_fun_Ts lthy;
51831
blanchet
parents: 51830
diff changeset
   555
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   556
    val (((rs, us'), vs'), names_lthy) =
51831
blanchet
parents: 51830
diff changeset
   557
      names_lthy0
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   558
      |> mk_Frees "R" (map (fn T => mk_pred2T T T) fpTs)
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   559
      ||>> Variable.variant_fixes fp_b_names
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   560
      ||>> Variable.variant_fixes (map (suffix "'") fp_b_names);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   561
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   562
    val us = map2 (curry Free) us' fpTs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   563
    val udiscss = map2 (map o rapp) us discss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   564
    val uselsss = map2 (map o map o rapp) us selsss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   565
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   566
    val vs = map2 (curry Free) vs' fpTs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   567
    val vdiscss = map2 (map o rapp) vs discss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   568
    val vselsss = map2 (map o map o rapp) vs selsss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   569
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   570
    val ((coinduct_thms, coinduct_thm), (strong_coinduct_thms, strong_coinduct_thm)) =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   571
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   572
        val uvrs = map3 (fn r => fn u => fn v => r $ u $ v) rs us vs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   573
        val uv_eqs = map2 (curry HOLogic.mk_eq) us vs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   574
        val strong_rs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   575
          map4 (fn u => fn v => fn uvr => fn uv_eq =>
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   576
            fold_rev Term.lambda [u, v] (HOLogic.mk_disj (uvr, uv_eq))) us vs uvrs uv_eqs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   577
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   578
        fun build_rel rs' T =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   579
          (case find_index (curry (op =) T) fpTs of
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   580
            ~1 =>
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   581
            if exists_subtype_in fpTs T then build_rel_step lthy (build_rel rs') T
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   582
            else HOLogic.eq_const T
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   583
          | kk => nth rs' kk);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   584
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   585
        fun build_rel_app rs' usel vsel =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   586
          fold rapp [usel, vsel] (build_rel rs' (fastype_of usel));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   587
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   588
        fun mk_prem_ctr_concls rs' n k udisc usels vdisc vsels =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   589
          (if k = n then [] else [HOLogic.mk_eq (udisc, vdisc)]) @
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   590
          (if null usels then
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   591
             []
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   592
           else
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   593
             [Library.foldr HOLogic.mk_imp (if n = 1 then [] else [udisc, vdisc],
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   594
                Library.foldr1 HOLogic.mk_conj (map2 (build_rel_app rs') usels vsels))]);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   595
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   596
        fun mk_prem_concl rs' n udiscs uselss vdiscs vselss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   597
          Library.foldr1 HOLogic.mk_conj
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   598
            (flat (map5 (mk_prem_ctr_concls rs' n) (1 upto n) udiscs uselss vdiscs vselss))
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   599
          handle List.Empty => @{term True};
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   600
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   601
        fun mk_prem rs' uvr u v n udiscs uselss vdiscs vselss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   602
          fold_rev Logic.all [u, v] (Logic.mk_implies (HOLogic.mk_Trueprop uvr,
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   603
            HOLogic.mk_Trueprop (mk_prem_concl rs' n udiscs uselss vdiscs vselss)));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   604
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   605
        val concl =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   606
          HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   607
            (map3 (fn uvr => fn u => fn v => HOLogic.mk_imp (uvr, HOLogic.mk_eq (u, v)))
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   608
               uvrs us vs));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   609
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   610
        fun mk_goal rs' =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   611
          Logic.list_implies (map8 (mk_prem rs') uvrs us vs ns udiscss uselsss vdiscss vselsss,
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   612
            concl);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   613
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   614
        val goal = mk_goal rs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   615
        val strong_goal = mk_goal strong_rs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   616
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   617
        fun prove dtor_coinduct' goal =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   618
          Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, ...} =>
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   619
            mk_coinduct_tac ctxt nesting_rel_eqs nn ns dtor_coinduct' pre_rel_defs dtor_ctors
51819
9df935196be9 use record instead of big tuple
blanchet
parents: 51816
diff changeset
   620
              exhausts ctr_defss disc_thmsss sel_thmsss)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   621
          |> singleton (Proof_Context.export names_lthy lthy)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   622
          |> Thm.close_derivation;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   623
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   624
        fun postproc nn thm =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   625
          Thm.permute_prems 0 nn
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   626
            (if nn = 1 then thm RS mp else funpow nn (fn thm => reassoc_conjs (thm RS mp_conj)) thm)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   627
          |> Drule.zero_var_indexes
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   628
          |> `(conj_dests nn);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   629
      in
51814
blanchet
parents: 51813
diff changeset
   630
        (postproc nn (prove dtor_coinduct goal), postproc nn (prove dtor_strong_induct strong_goal))
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   631
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   632
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   633
    fun mk_coinduct_concls ms discs ctrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   634
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   635
        fun mk_disc_concl disc = [name_of_disc disc];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   636
        fun mk_ctr_concl 0 _ = []
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   637
          | mk_ctr_concl _ ctor = [name_of_ctr ctor];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   638
        val disc_concls = map mk_disc_concl (fst (split_last discs)) @ [[]];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   639
        val ctr_concls = map2 mk_ctr_concl ms ctrs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   640
      in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   641
        flat (map2 append disc_concls ctr_concls)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   642
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   643
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   644
    val coinduct_cases = quasi_unambiguous_case_names (map (prefix EqN) fp_b_names);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   645
    val coinduct_conclss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   646
      map3 (quasi_unambiguous_case_names ooo mk_coinduct_concls) mss discss ctrss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   647
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   648
    fun mk_maybe_not pos = not pos ? HOLogic.mk_not;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   649
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   650
    val gunfolds = map (lists_bmoc pgss) unfolds;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   651
    val hcorecs = map (lists_bmoc phss) corecs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   652
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   653
    val (unfold_thmss, corec_thmss, safe_unfold_thmss, safe_corec_thmss) =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   654
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   655
        fun mk_goal pfss c cps fcorec_like n k ctr m cfs' =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   656
          fold_rev (fold_rev Logic.all) ([c] :: pfss)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   657
            (Logic.list_implies (seq_conds (HOLogic.mk_Trueprop oo mk_maybe_not) n k cps,
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   658
               mk_Trueprop_eq (fcorec_like $ c, Term.list_comb (ctr, take m cfs'))));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   659
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   660
        fun build_corec_like fcorec_likes (T, U) =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   661
          if T = U then
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   662
            id_const T
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   663
          else
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   664
            (case find_index (curry (op =) U) fpTs of
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   665
              ~1 => build_map lthy (build_corec_like fcorec_likes) T U
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   666
            | kk => nth fcorec_likes kk);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   667
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   668
        val mk_U = typ_subst (map2 pair Cs fpTs);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   669
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   670
        fun intr_corec_likes fcorec_likes [] [cf] =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   671
            let val T = fastype_of cf in
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   672
              if exists_subtype_in Cs T then build_corec_like fcorec_likes (T, mk_U T) $ cf else cf
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   673
            end
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   674
          | intr_corec_likes fcorec_likes [cq] [cf, cf'] =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   675
            mk_If cq (intr_corec_likes fcorec_likes [] [cf])
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   676
              (intr_corec_likes fcorec_likes [] [cf']);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   677
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   678
        val crgsss = map2 (map2 (map2 (intr_corec_likes gunfolds))) crssss cgssss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   679
        val cshsss = map2 (map2 (map2 (intr_corec_likes hcorecs))) csssss chssss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   680
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   681
        val unfold_goalss = map8 (map4 oooo mk_goal pgss) cs cpss gunfolds ns kss ctrss mss crgsss;
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   682
        val corec_goalss = map8 (map4 oooo mk_goal phss) cs cpss hcorecs ns kss ctrss mss cshsss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   683
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   684
        fun mk_map_if_distrib bnf =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   685
          let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   686
            val mapx = map_of_bnf bnf;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   687
            val live = live_of_bnf bnf;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   688
            val ((Ts, T), U) = strip_typeN (live + 1) (fastype_of mapx) |>> split_last;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   689
            val fs = Variable.variant_frees lthy [mapx] (map (pair "f") Ts);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   690
            val t = Term.list_comb (mapx, map (Var o apfst (rpair 0)) fs);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   691
          in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   692
            Drule.instantiate' (map (SOME o certifyT lthy) [U, T]) [SOME (certify lthy t)]
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   693
              @{thm if_distrib}
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   694
          end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   695
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   696
        val nested_map_if_distribs = map mk_map_if_distrib nested_bnfs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   697
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   698
        val unfold_tacss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   699
          map3 (map oo mk_corec_like_tac unfold_defs [] [] nesting_map_ids'' [])
51814
blanchet
parents: 51813
diff changeset
   700
            dtor_unfold_thms pre_map_defs ctr_defss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   701
        val corec_tacss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   702
          map3 (map oo mk_corec_like_tac corec_defs nested_map_comps'' nested_map_comp's
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   703
              (nested_map_ids'' @ nesting_map_ids'') nested_map_if_distribs)
51814
blanchet
parents: 51813
diff changeset
   704
            dtor_corec_thms pre_map_defs ctr_defss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   705
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   706
        fun prove goal tac =
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   707
          Goal.prove_sorry lthy [] [] goal (tac o #context)
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   708
          |> Thm.close_derivation;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   709
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   710
        val unfold_thmss = map2 (map2 prove) unfold_goalss unfold_tacss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   711
        val corec_thmss = map2 (map2 prove) corec_goalss corec_tacss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   712
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   713
        val filter_safesss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   714
          map2 (map_filter (fn (safes, thm) => if forall I safes then SOME thm else NONE) oo
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   715
            curry (op ~~)) (map2 (map2 (map2 (member (op =)))) cgssss crgsss);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   716
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   717
        val safe_unfold_thmss = filter_safesss unfold_thmss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   718
        val safe_corec_thmss = filter_safesss corec_thmss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   719
      in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   720
        (unfold_thmss, corec_thmss, safe_unfold_thmss, safe_corec_thmss)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   721
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   722
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   723
    val (disc_unfold_iff_thmss, disc_corec_iff_thmss) =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   724
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   725
        fun mk_goal c cps fcorec_like n k disc =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   726
          mk_Trueprop_eq (disc $ (fcorec_like $ c),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   727
            if n = 1 then @{const True}
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   728
            else Library.foldr1 HOLogic.mk_conj (seq_conds mk_maybe_not n k cps));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   729
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   730
        val unfold_goalss = map6 (map2 oooo mk_goal) cs cpss gunfolds ns kss discss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   731
        val corec_goalss = map6 (map2 oooo mk_goal) cs cpss hcorecs ns kss discss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   732
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   733
        fun mk_case_split' cp = Drule.instantiate' [] [SOME (certify lthy cp)] @{thm case_split};
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   734
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   735
        val case_splitss' = map (map mk_case_split') cpss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   736
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   737
        val unfold_tacss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   738
          map3 (map oo mk_disc_corec_like_iff_tac) case_splitss' unfold_thmss disc_thmsss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   739
        val corec_tacss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   740
          map3 (map oo mk_disc_corec_like_iff_tac) case_splitss' corec_thmss disc_thmsss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   741
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   742
        fun prove goal tac =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   743
          Goal.prove_sorry lthy [] [] goal (tac o #context)
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   744
          |> singleton (Proof_Context.export names_lthy lthy)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   745
          |> Thm.close_derivation;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   746
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   747
        fun proves [_] [_] = []
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   748
          | proves goals tacs = map2 prove goals tacs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   749
      in
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   750
        (map2 proves unfold_goalss unfold_tacss, map2 proves corec_goalss corec_tacss)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   751
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   752
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   753
    val is_triv_discI = is_triv_implies orf is_concl_refl;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   754
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   755
    fun mk_disc_corec_like_thms corec_likes discIs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   756
      map (op RS) (filter_out (is_triv_discI o snd) (corec_likes ~~ discIs));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   757
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   758
    val disc_unfold_thmss = map2 mk_disc_corec_like_thms unfold_thmss discIss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   759
    val disc_corec_thmss = map2 mk_disc_corec_like_thms corec_thmss discIss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   760
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   761
    fun mk_sel_corec_like_thm corec_like_thm sel sel_thm =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   762
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   763
        val (domT, ranT) = dest_funT (fastype_of sel);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   764
        val arg_cong' =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   765
          Drule.instantiate' (map (SOME o certifyT lthy) [domT, ranT])
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   766
            [NONE, NONE, SOME (certify lthy sel)] arg_cong
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   767
          |> Thm.varifyT_global;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   768
        val sel_thm' = sel_thm RSN (2, trans);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   769
      in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   770
        corec_like_thm RS arg_cong' RS sel_thm'
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   771
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   772
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   773
    fun mk_sel_corec_like_thms corec_likess =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   774
      map3 (map3 (map2 o mk_sel_corec_like_thm)) corec_likess selsss sel_thmsss |> map flat;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   775
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   776
    val sel_unfold_thmss = mk_sel_corec_like_thms unfold_thmss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   777
    val sel_corec_thmss = mk_sel_corec_like_thms corec_thmss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   778
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   779
    val coinduct_consumes_attr = Attrib.internal (K (Rule_Cases.consumes nn));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   780
    val coinduct_case_names_attr = Attrib.internal (K (Rule_Cases.case_names coinduct_cases));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   781
    val coinduct_case_concl_attrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   782
      map2 (fn casex => fn concls =>
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   783
          Attrib.internal (K (Rule_Cases.case_conclusion (casex, concls))))
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   784
        coinduct_cases coinduct_conclss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   785
    val coinduct_case_attrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   786
      coinduct_consumes_attr :: coinduct_case_names_attr :: coinduct_case_concl_attrs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   787
  in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   788
    ((coinduct_thm, coinduct_thms, strong_coinduct_thm, strong_coinduct_thms, coinduct_case_attrs),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   789
     (unfold_thmss, corec_thmss, []),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   790
     (safe_unfold_thmss, safe_corec_thmss),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   791
     (disc_unfold_thmss, disc_corec_thmss, simp_attrs),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   792
     (disc_unfold_iff_thmss, disc_corec_iff_thmss, simp_attrs),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   793
     (sel_unfold_thmss, sel_corec_thmss, simp_attrs))
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   794
  end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   795
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   796
fun define_datatypes prepare_constraint prepare_typ prepare_term lfp construct_fp
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   797
    (wrap_opts as (no_dests, rep_compat), specs) no_defs_lthy0 =
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
   798
  let
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   799
    (* TODO: sanity checks on arguments *)
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   800
49286
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
   801
    val _ = if not lfp andalso no_dests then error "Cannot define destructor-less codatatypes"
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   802
      else ();
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   803
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   804
    fun qualify mandatory fp_b_name =
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   805
      Binding.qualify mandatory fp_b_name o (rep_compat ? Binding.qualify false rep_compat_prefix);
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   806
49367
blanchet
parents: 49366
diff changeset
   807
    val nn = length specs;
49361
cc1d39529dd1 derive induction via backward proof, to ensure that the premises are in the right order for constructors like "X x y x" where x and y are mutually recursive
blanchet
parents: 49342
diff changeset
   808
    val fp_bs = map type_binding_of specs;
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   809
    val fp_b_names = map Binding.name_of fp_bs;
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   810
    val fp_common_name = mk_common_name fp_b_names;
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
   811
    val map_bs = map map_binding_of specs;
51767
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
   812
    val rel_bs = map rel_binding_of specs;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   813
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
   814
    fun prepare_type_arg (_, (ty, c)) =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   815
      let val TFree (s, _) = prepare_typ no_defs_lthy0 ty in
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   816
        TFree (s, prepare_constraint no_defs_lthy0 c)
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   817
      end;
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   818
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
   819
    val Ass0 = map (map prepare_type_arg o type_args_named_constrained_of) specs;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   820
    val unsorted_Ass0 = map (map (resort_tfree HOLogic.typeS)) Ass0;
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   821
    val unsorted_As = Library.foldr1 merge_type_args unsorted_Ass0;
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
   822
    val set_bss = map (map fst o type_args_named_constrained_of) specs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   823
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   824
    val (((Bs0, Cs), Xs), no_defs_lthy) =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   825
      no_defs_lthy0
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   826
      |> fold (Variable.declare_typ o resort_tfree dummyS) unsorted_As
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   827
      |> mk_TFrees (length unsorted_As)
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   828
      ||>> mk_TFrees nn
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   829
      ||>> apfst (map TFree) o
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   830
        variant_types (map (prefix "'") fp_b_names) (replicate nn HOLogic.typeS);
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   831
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   832
    (* TODO: cleaner handling of fake contexts, without "background_theory" *)
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   833
    (*the "perhaps o try" below helps gracefully handles the case where the new type is defined in a
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   834
      locale and shadows an existing global type*)
51768
d2a236b10796 proper error generated for wrong mixfix
blanchet
parents: 51767
diff changeset
   835
51769
5c657ca97d99 simplified code -- no need for two attempts, the error we get from mixfix the first time is good (and better to get than a parse error in the specification because the user tries to use a mixfix that silently failed)
blanchet
parents: 51768
diff changeset
   836
    fun add_fake_type spec =
51768
d2a236b10796 proper error generated for wrong mixfix
blanchet
parents: 51767
diff changeset
   837
      Sign.add_type no_defs_lthy (type_binding_of spec,
51769
5c657ca97d99 simplified code -- no need for two attempts, the error we get from mixfix the first time is good (and better to get than a parse error in the specification because the user tries to use a mixfix that silently failed)
blanchet
parents: 51768
diff changeset
   838
        length (type_args_named_constrained_of spec), mixfix_of spec);
51768
d2a236b10796 proper error generated for wrong mixfix
blanchet
parents: 51767
diff changeset
   839
51769
5c657ca97d99 simplified code -- no need for two attempts, the error we get from mixfix the first time is good (and better to get than a parse error in the specification because the user tries to use a mixfix that silently failed)
blanchet
parents: 51768
diff changeset
   840
    val fake_thy = Theory.copy #> fold add_fake_type specs;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   841
    val fake_lthy = Proof_Context.background_theory fake_thy no_defs_lthy;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   842
49182
b8517107ffc5 read the real types off the constant types, rather than using the fake parser types (second step of sugar localization)
blanchet
parents: 49181
diff changeset
   843
    fun mk_fake_T b =
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   844
      Type (fst (Term.dest_Type (Proof_Context.read_type_name fake_lthy true (Binding.name_of b))),
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   845
        unsorted_As);
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   846
49302
f5bd87aac224 added optional qualifiers for constructors and destructors, similarly to the old package
blanchet
parents: 49300
diff changeset
   847
    val fake_Ts = map mk_fake_T fp_bs;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   848
49181
blanchet
parents: 49180
diff changeset
   849
    val mixfixes = map mixfix_of specs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   850
49302
f5bd87aac224 added optional qualifiers for constructors and destructors, similarly to the old package
blanchet
parents: 49300
diff changeset
   851
    val _ = (case duplicates Binding.eq_name fp_bs of [] => ()
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   852
      | b :: _ => error ("Duplicate type name declaration " ^ quote (Binding.name_of b)));
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   853
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   854
    val ctr_specss = map ctr_specs_of specs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   855
49336
blanchet
parents: 49330
diff changeset
   856
    val disc_bindingss = map (map disc_of) ctr_specss;
blanchet
parents: 49330
diff changeset
   857
    val ctr_bindingss =
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   858
      map2 (fn fp_b_name => map (qualify false fp_b_name o ctr_of)) fp_b_names ctr_specss;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   859
    val ctr_argsss = map (map args_of) ctr_specss;
49181
blanchet
parents: 49180
diff changeset
   860
    val ctr_mixfixess = map (map ctr_mixfix_of) ctr_specss;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   861
49336
blanchet
parents: 49330
diff changeset
   862
    val sel_bindingsss = map (map (map fst)) ctr_argsss;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   863
    val fake_ctr_Tsss0 = map (map (map (prepare_typ fake_lthy o snd))) ctr_argsss;
49286
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
   864
    val raw_sel_defaultsss = map (map defaults_of) ctr_specss;
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
   865
49308
6190b701e4f4 reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
blanchet
parents: 49302
diff changeset
   866
    val (As :: _) :: fake_ctr_Tsss =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   867
      burrow (burrow (Syntax.check_typs fake_lthy)) (Ass0 :: fake_ctr_Tsss0);
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   868
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   869
    val _ = (case duplicates (op =) unsorted_As of [] => ()
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   870
      | A :: _ => error ("Duplicate type parameter " ^
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   871
          quote (Syntax.string_of_typ no_defs_lthy A)));
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   872
49183
0cc46e2dee7e careful about constructor types w.r.t. fake context (third step of localization)
blanchet
parents: 49182
diff changeset
   873
    val rhs_As' = fold (fold (fold Term.add_tfreesT)) fake_ctr_Tsss [];
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   874
    val _ = (case subtract (op =) (map dest_TFree As) rhs_As' of
49165
c6ccaf6df93c check type variables on rhs
blanchet
parents: 49161
diff changeset
   875
        [] => ()
49342
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
   876
      | A' :: _ => error ("Extra type variable on right-hand side: " ^
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
   877
          quote (Syntax.string_of_typ no_defs_lthy (TFree A'))));
49165
c6ccaf6df93c check type variables on rhs
blanchet
parents: 49161
diff changeset
   878
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   879
    fun eq_fpT_check (T as Type (s, Us)) (Type (s', Us')) =
49146
e32b1f748854 added a check
blanchet
parents: 49135
diff changeset
   880
        s = s' andalso (Us = Us' orelse error ("Illegal occurrence of recursive type " ^
e32b1f748854 added a check
blanchet
parents: 49135
diff changeset
   881
          quote (Syntax.string_of_typ fake_lthy T)))
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   882
      | eq_fpT_check _ _ = false;
49146
e32b1f748854 added a check
blanchet
parents: 49135
diff changeset
   883
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
   884
    fun freeze_fp (T as Type (s, Us)) =
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   885
        (case find_index (eq_fpT_check T) fake_Ts of
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   886
          ~1 => Type (s, map freeze_fp Us)
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
   887
        | kk => nth Xs kk)
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
   888
      | freeze_fp T = T;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   889
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   890
    val ctr_TsssXs = map (map (map freeze_fp)) fake_ctr_Tsss;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   891
    val ctr_sum_prod_TsXs = map (mk_sumTN_balanced o map HOLogic.mk_tupleT) ctr_TsssXs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   892
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   893
    val fp_eqs =
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   894
      map dest_TFree Xs ~~ map (Term.typ_subst_atomic (As ~~ unsorted_As)) ctr_sum_prod_TsXs;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   895
51824
27d073b0876c register all (co)datatypes in local data
blanchet
parents: 51823
diff changeset
   896
    val (pre_bnfs, (fp_res as {bnfs = fp_bnfs as any_fp_bnf :: _, dtors = dtors0, ctors = ctors0,
51805
67757f1d5e71 use record instead of huge tuple
blanchet
parents: 51804
diff changeset
   897
           folds = fp_folds0, recs = fp_recs0, induct = fp_induct, strong_induct = fp_strong_induct,
67757f1d5e71 use record instead of huge tuple
blanchet
parents: 51804
diff changeset
   898
           dtor_ctors, ctor_dtors, ctor_injects, map_thms = fp_map_thms, set_thmss = fp_set_thmss,
67757f1d5e71 use record instead of huge tuple
blanchet
parents: 51804
diff changeset
   899
           rel_thms = fp_rel_thms, fold_thms = fp_fold_thms, rec_thms = fp_rec_thms}, lthy)) =
51767
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
   900
      fp_bnf construct_fp fp_bs mixfixes map_bs rel_bs set_bss (map dest_TFree unsorted_As) fp_eqs
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
   901
        no_defs_lthy0;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   902
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   903
    val timer = time (Timer.startRealTimer ());
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   904
49363
8fc53d925629 distinguish between nested and nesting BNFs
blanchet
parents: 49362
diff changeset
   905
    fun add_nesty_bnf_names Us =
49226
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   906
      let
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   907
        fun add (Type (s, Ts)) ss =
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   908
            let val (needs, ss') = fold_map add Ts ss in
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   909
              if exists I needs then (true, insert (op =) s ss') else (false, ss')
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   910
            end
49363
8fc53d925629 distinguish between nested and nesting BNFs
blanchet
parents: 49362
diff changeset
   911
          | add T ss = (member (op =) Us T, ss);
49226
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   912
      in snd oo add end;
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   913
49363
8fc53d925629 distinguish between nested and nesting BNFs
blanchet
parents: 49362
diff changeset
   914
    fun nesty_bnfs Us =
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   915
      map_filter (bnf_of lthy) (fold (fold (fold (add_nesty_bnf_names Us))) ctr_TsssXs []);
49363
8fc53d925629 distinguish between nested and nesting BNFs
blanchet
parents: 49362
diff changeset
   916
8fc53d925629 distinguish between nested and nesting BNFs
blanchet
parents: 49362
diff changeset
   917
    val nesting_bnfs = nesty_bnfs As;
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   918
    val nested_bnfs = nesty_bnfs Xs;
49226
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
   919
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   920
    val pre_map_defs = map map_def_of_bnf pre_bnfs;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   921
    val pre_set_defss = map set_defs_of_bnf pre_bnfs;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   922
    val pre_rel_defs = map rel_def_of_bnf pre_bnfs;
51830
blanchet
parents: 51829
diff changeset
   923
    val nesting_set_map's = maps set_map'_of_bnf nesting_bnfs;
51766
f19a4d0ab1bf renamed "set_natural" to "set_map", reflecting {Bl,Po,Tr} concensus
blanchet
parents: 51758
diff changeset
   924
    val nested_set_map's = maps set_map'_of_bnf nested_bnfs;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   925
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   926
    val live = live_of_bnf any_fp_bnf;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   927
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   928
    val Bs =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   929
      map3 (fn alive => fn A as TFree (_, S) => fn B => if alive then resort_tfree S B else A)
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   930
        (liveness_of_fp_bnf (length As) any_fp_bnf) As Bs0;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   931
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   932
    val B_ify = Term.typ_subst_atomic (As ~~ Bs);
49167
68623861e0f2 print timing information
blanchet
parents: 49165
diff changeset
   933
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   934
    val ctors = map (mk_ctor As) ctors0;
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   935
    val dtors = map (mk_dtor As) dtors0;
49124
968e1b7de057 more work on FP sugar
blanchet
parents: 49123
diff changeset
   936
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   937
    val fpTs = map (domain_type o fastype_of) dtors;
49362
1271aca16aed make tactic more robust in the case where "asm_simp_tac" already finishes the job
blanchet
parents: 49361
diff changeset
   938
51780
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   939
    fun massage_simple_notes base =
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   940
      filter_out (null o #2)
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   941
      #> map (fn (thmN, thms, attrs) =>
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   942
        ((qualify true base (Binding.name thmN), attrs), [(thms, [])]));
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   943
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   944
    val massage_multi_notes =
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   945
      maps (fn (thmN, thmss, attrs) =>
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   946
        if forall null thmss then
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   947
          []
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   948
        else
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   949
          map3 (fn fp_b_name => fn Type (T_name, _) => fn thms =>
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   950
            ((qualify true fp_b_name (Binding.name thmN), attrs T_name),
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   951
             [(thms, [])])) fp_b_names fpTs thmss);
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
   952
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
   953
    val ctr_Tsss = map (map (map (Term.typ_subst_atomic (Xs ~~ fpTs)))) ctr_TsssXs;
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
   954
    val ns = map length ctr_Tsss;
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
   955
    val kss = map (fn n => 1 upto n) ns;
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
   956
    val mss = map (map length) ctr_Tsss;
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
   957
    val Css = map2 replicate ns Cs;
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
   958
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   959
    val (fp_folds, fp_fold_fun_Ts) = mk_fp_rec_like lfp As Cs fp_folds0;
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   960
    val (fp_recs, fp_rec_fun_Ts) = mk_fp_rec_like lfp As Cs fp_recs0;
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   961
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   962
    val (((fold_only, rec_only),
51830
blanchet
parents: 51829
diff changeset
   963
          (cs, cpss, unfold_only as ((_, crssss, cgssss), (_, g_Tsss, _)),
blanchet
parents: 51829
diff changeset
   964
           corec_only as ((_, csssss, chssss), (_, h_Tsss, _)))), _) =
49208
blanchet
parents: 49207
diff changeset
   965
      if lfp then
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
   966
        mk_fold_rec_terms_types fpTs Css ns mss fp_fold_fun_Ts fp_rec_fun_Ts lthy
51832
blanchet
parents: 51831
diff changeset
   967
        |>> rpair ([], [], (([], [], []), ([], [], [])), (([], [], []), ([], [], [])))
49208
blanchet
parents: 49207
diff changeset
   968
      else
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
   969
        mk_unfold_corec_terms_types fpTs Cs ns mss fp_fold_fun_Ts fp_rec_fun_Ts lthy
51831
blanchet
parents: 51830
diff changeset
   970
        |>> pair (([], [], []), ([], [], []));
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   971
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   972
    fun define_ctrs_case_for_type (((((((((((((((((((((((((fp_bnf, fp_b), fpT), C), ctor), dtor),
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   973
            fp_fold), fp_rec), ctor_dtor), dtor_ctor), ctor_inject), pre_map_def), pre_set_defs),
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   974
          pre_rel_def), fp_map_thm), fp_set_thms), fp_rel_thm), n), ks), ms), ctr_bindings),
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   975
        ctr_mixfixes), ctr_Tss), disc_bindings), sel_bindingss), raw_sel_defaultss) no_defs_lthy =
49176
6d29d2db5f88 construct high-level iterator RHS
blanchet
parents: 49169
diff changeset
   976
      let
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   977
        val fp_b_name = Binding.name_of fp_b;
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   978
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   979
        val dtorT = domain_type (fastype_of ctor);
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
   980
        val ctr_prod_Ts = map HOLogic.mk_tupleT ctr_Tss;
49255
2ecc533d6697 use balanced sums for constructors (to gracefully handle 100 constructors or more)
blanchet
parents: 49254
diff changeset
   981
        val ctr_sum_prod_T = mk_sumTN_balanced ctr_prod_Ts;
49134
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
   982
        val case_Ts = map (fn Ts => Ts ---> C) ctr_Tss;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
   983
49593
c958f282b382 get rid of shaky "Thm.generalize"
blanchet
parents: 49592
diff changeset
   984
        val (((((w, fs), xss), yss), u'), names_lthy) =
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
   985
          no_defs_lthy
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
   986
          |> yield_singleton (mk_Frees "w") dtorT
49176
6d29d2db5f88 construct high-level iterator RHS
blanchet
parents: 49169
diff changeset
   987
          ||>> mk_Frees "f" case_Ts
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
   988
          ||>> mk_Freess "x" ctr_Tss
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   989
          ||>> mk_Freess "y" (map (map B_ify) ctr_Tss)
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   990
          ||>> yield_singleton Variable.variant_fixes fp_b_name;
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
   991
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   992
        val u = Free (u', fpT);
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
   993
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   994
        val tuple_xs = map HOLogic.mk_tuple xss;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   995
        val tuple_ys = map HOLogic.mk_tuple yss;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   996
49129
b5413cb7d860 define "case" constant
blanchet
parents: 49127
diff changeset
   997
        val ctr_rhss =
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   998
          map3 (fn k => fn xs => fn tuple_x => fold_rev Term.lambda xs (ctor $
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
   999
            mk_InN_balanced ctr_sum_prod_T n tuple_x k)) ks xss tuple_xs;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1000
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
  1001
        val case_binding = qualify false fp_b_name (Binding.suffix_name ("_" ^ caseN) fp_b);
49129
b5413cb7d860 define "case" constant
blanchet
parents: 49127
diff changeset
  1002
49134
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
  1003
        val case_rhs =
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1004
          fold_rev Term.lambda (fs @ [u])
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1005
            (mk_sum_caseN_balanced (map2 mk_uncurried_fun fs xss) $ (dtor $ u));
49129
b5413cb7d860 define "case" constant
blanchet
parents: 49127
diff changeset
  1006
49201
blanchet
parents: 49200
diff changeset
  1007
        val ((raw_case :: raw_ctrs, raw_case_def :: raw_ctr_defs), (lthy', lthy)) = no_defs_lthy
49169
937a0fadddfb honor mixfix specifications
blanchet
parents: 49167
diff changeset
  1008
          |> apfst split_list o fold_map3 (fn b => fn mx => fn rhs =>
49302
f5bd87aac224 added optional qualifiers for constructors and destructors, similarly to the old package
blanchet
parents: 49300
diff changeset
  1009
              Local_Theory.define ((b, mx), ((Thm.def_binding b, []), rhs)) #>> apsnd snd)
49336
blanchet
parents: 49330
diff changeset
  1010
            (case_binding :: ctr_bindings) (NoSyn :: ctr_mixfixes) (case_rhs :: ctr_rhss)
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1011
          ||> `Local_Theory.restore;
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1012
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1013
        val phi = Proof_Context.export_morphism lthy lthy';
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1014
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1015
        val ctr_defs = map (Morphism.thm phi) raw_ctr_defs;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1016
        val ctr_defs' =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1017
          map2 (fn m => fn def => mk_unabs_def m (def RS meta_eq_to_obj_eq)) ms ctr_defs;
49130
3c26e17b2849 implemented "mk_case_tac" -- and got rid of "cheat_tac"
blanchet
parents: 49129
diff changeset
  1018
        val case_def = Morphism.thm phi raw_case_def;
3c26e17b2849 implemented "mk_case_tac" -- and got rid of "cheat_tac"
blanchet
parents: 49129
diff changeset
  1019
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1020
        val ctrs0 = map (Morphism.term phi) raw_ctrs;
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1021
        val casex0 = Morphism.term phi raw_case;
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1022
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1023
        val ctrs = map (mk_ctr As) ctrs0;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1024
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1025
        fun wrap lthy =
49123
263b0e330d8b more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents: 49121
diff changeset
  1026
          let
50170
8155e280f239 made SML/NJ happier
traytel
parents: 49693
diff changeset
  1027
            fun exhaust_tac {context = ctxt, prems = _} =
49135
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
blanchet
parents: 49134
diff changeset
  1028
              let
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1029
                val ctor_iff_dtor_thm =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1030
                  let
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1031
                    val goal =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1032
                      fold_rev Logic.all [w, u]
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1033
                        (mk_Trueprop_eq (HOLogic.mk_eq (u, ctor $ w), HOLogic.mk_eq (dtor $ u, w)));
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1034
                  in
51551
88d1d19fb74f tuned signature and module arrangement;
wenzelm
parents: 51380
diff changeset
  1035
                    Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, ...} =>
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1036
                      mk_ctor_iff_dtor_tac ctxt (map (SOME o certifyT lthy) [dtorT, fpT])
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1037
                        (certify lthy ctor) (certify lthy dtor) ctor_dtor dtor_ctor)
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1038
                    |> Thm.close_derivation
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1039
                    |> Morphism.thm phi
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1040
                  end;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1041
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1042
                val sumEN_thm' =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1043
                  unfold_thms lthy @{thms all_unit_eq}
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1044
                    (Drule.instantiate' (map (SOME o certifyT lthy) ctr_prod_Ts) []
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1045
                       (mk_sumEN_balanced n))
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1046
                  |> Morphism.thm phi;
49135
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
blanchet
parents: 49134
diff changeset
  1047
              in
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1048
                mk_exhaust_tac ctxt n ctr_defs ctor_iff_dtor_thm sumEN_thm'
49135
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
blanchet
parents: 49134
diff changeset
  1049
              end;
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
blanchet
parents: 49134
diff changeset
  1050
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1051
            val inject_tacss =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1052
              map2 (fn 0 => K [] | _ => fn ctr_def => [fn {context = ctxt, ...} =>
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1053
                  mk_inject_tac ctxt ctr_def ctor_inject]) ms ctr_defs;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1054
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1055
            val half_distinct_tacss =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1056
              map (map (fn (def, def') => fn {context = ctxt, ...} =>
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1057
                mk_half_distinct_tac ctxt ctor_inject [def, def'])) (mk_half_pairss (`I ctr_defs));
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1058
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1059
            val case_tacs =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1060
              map3 (fn k => fn m => fn ctr_def => fn {context = ctxt, ...} =>
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1061
                mk_case_tac ctxt n k m case_def ctr_def dtor_ctor) ks ms ctr_defs;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1062
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1063
            val tacss = [exhaust_tac] :: inject_tacss @ half_distinct_tacss @ [case_tacs];
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1064
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1065
            val sel_defaultss = map (map (apsnd (prepare_term lthy))) raw_sel_defaultss
49123
263b0e330d8b more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents: 49121
diff changeset
  1066
          in
51781
0504e286d66d renamed "wrap_data" to "wrap_free_constructors"
blanchet
parents: 51780
diff changeset
  1067
            wrap_free_constructors tacss (((wrap_opts, ctrs0), casex0), (disc_bindings,
0504e286d66d renamed "wrap_data" to "wrap_free_constructors"
blanchet
parents: 51780
diff changeset
  1068
              (sel_bindingss, sel_defaultss))) lthy
49123
263b0e330d8b more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents: 49121
diff changeset
  1069
          end;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1070
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
  1071
        fun derive_maps_sets_rels (ctr_wrap_res, lthy) =
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1072
          if live = 0 then
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1073
            ((([], [], [], []), ctr_wrap_res), lthy)
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1074
          else
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1075
            let
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1076
              val rel_flip = rel_flip_of_bnf fp_bnf;
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1077
              val nones = replicate live NONE;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1078
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1079
              val ctor_cong =
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1080
                if lfp then
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1081
                  Drule.dummy_thm
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1082
                else
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1083
                  let val ctor' = mk_ctor Bs ctor in
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1084
                    cterm_instantiate_pos [NONE, NONE, SOME (certify lthy ctor')] arg_cong
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1085
                  end;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1086
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1087
              fun mk_cIn ify =
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1088
                certify lthy o (not lfp ? curry (op $) (map_types ify ctor)) oo
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1089
                mk_InN_balanced (ify ctr_sum_prod_T) n;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1090
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1091
              val cxIns = map2 (mk_cIn I) tuple_xs ks;
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1092
              val cyIns = map2 (mk_cIn B_ify) tuple_ys ks;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1093
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1094
              fun mk_map_thm ctr_def' cxIn =
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1095
                fold_thms lthy [ctr_def']
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1096
                  (unfold_thms lthy (pre_map_def ::
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1097
                       (if lfp then [] else [ctor_dtor, dtor_ctor]) @ sum_prod_thms_map)
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1098
                     (cterm_instantiate_pos (nones @ [SOME cxIn])
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1099
                        (if lfp then fp_map_thm else fp_map_thm RS ctor_cong)))
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1100
                |> singleton (Proof_Context.export names_lthy no_defs_lthy);
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1101
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1102
              fun mk_set_thm fp_set_thm ctr_def' cxIn =
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1103
                fold_thms lthy [ctr_def']
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1104
                  (unfold_thms lthy (pre_set_defs @ nested_set_map's @ nesting_set_map's @
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1105
                       (if lfp then [] else [dtor_ctor]) @ sum_prod_thms_set)
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1106
                     (cterm_instantiate_pos [SOME cxIn] fp_set_thm))
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1107
                |> singleton (Proof_Context.export names_lthy no_defs_lthy);
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1108
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1109
              fun mk_set_thms fp_set_thm = map2 (mk_set_thm fp_set_thm) ctr_defs' cxIns;
49127
f7326a0d7f19 implemented "mk_half_distinct_tac"
blanchet
parents: 49126
diff changeset
  1110
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1111
              val map_thms = map2 mk_map_thm ctr_defs' cxIns;
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1112
              val set_thmss = map mk_set_thms fp_set_thms;
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1113
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1114
              val rel_infos = (ctr_defs' ~~ cxIns, ctr_defs' ~~ cyIns);
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1115
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1116
              fun mk_rel_thm postproc ctr_defs' cxIn cyIn =
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1117
                fold_thms lthy ctr_defs'
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1118
                   (unfold_thms lthy (@{thm Inl_Inr_False} :: pre_rel_def ::
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1119
                        (if lfp then [] else [dtor_ctor]) @ sum_prod_thms_rel)
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1120
                      (cterm_instantiate_pos (nones @ [SOME cxIn, SOME cyIn]) fp_rel_thm))
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1121
                |> postproc
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1122
                |> singleton (Proof_Context.export names_lthy no_defs_lthy);
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1123
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1124
              fun mk_rel_inject_thm ((ctr_def', cxIn), (_, cyIn)) =
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1125
                mk_rel_thm (unfold_thms lthy @{thms eq_sym_Unity_conv}) [ctr_def'] cxIn cyIn;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1126
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1127
              val rel_inject_thms = map mk_rel_inject_thm (op ~~ rel_infos);
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1128
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1129
              fun mk_half_rel_distinct_thm ((xctr_def', cxIn), (yctr_def', cyIn)) =
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1130
                mk_rel_thm (fn thm => thm RS @{thm eq_False[THEN iffD1]}) [xctr_def', yctr_def']
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1131
                  cxIn cyIn;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1132
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1133
              fun mk_other_half_rel_distinct_thm thm =
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1134
                flip_rels lthy live thm
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1135
                RS (rel_flip RS sym RS @{thm arg_cong[of _ _ Not]} RS iffD2);
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1136
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1137
              val half_rel_distinct_thmss =
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1138
                map (map mk_half_rel_distinct_thm) (mk_half_pairss rel_infos);
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1139
              val other_half_rel_distinct_thmss =
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1140
                map (map mk_other_half_rel_distinct_thm) half_rel_distinct_thmss;
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1141
              val (rel_distinct_thms, _) =
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1142
                join_halves n half_rel_distinct_thmss other_half_rel_distinct_thmss;
49134
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
  1143
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1144
              val notes =
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1145
                [(mapN, map_thms, code_simp_attrs),
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1146
                 (rel_distinctN, rel_distinct_thms, code_simp_attrs),
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1147
                 (rel_injectN, rel_inject_thms, code_simp_attrs),
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1148
                 (setsN, flat set_thmss, code_simp_attrs)]
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1149
                |> massage_simple_notes fp_b_name;
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1150
            in
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1151
              (((map_thms, rel_inject_thms, rel_distinct_thms, set_thmss), ctr_wrap_res),
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1152
               lthy |> Local_Theory.notes notes |> snd)
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
  1153
            end;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1154
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1155
        fun define_fold_rec no_defs_lthy =
49134
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
  1156
          let
49208
blanchet
parents: 49207
diff changeset
  1157
            val fpT_to_C = fpT --> C;
49199
7c9a3c67c55d added high-level recursor, not yet curried
blanchet
parents: 49184
diff changeset
  1158
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
  1159
            fun build_prod_proj mk_proj (T, U) =
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1160
              if T = U then
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1161
                id_const T
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1162
              else
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1163
                (case (T, U) of
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1164
                  (Type (s, _), Type (s', _)) =>
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
  1165
                  if s = s' then build_map lthy (build_prod_proj mk_proj) T U else mk_proj T
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1166
                | _ => mk_proj T);
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1167
49681
aa66ea552357 changed type of corecursor for the nested recursion case
blanchet
parents: 49672
diff changeset
  1168
            (* TODO: Avoid these complications; cf. corec case *)
49672
902b24e0ffb4 fixed recursor definition for datatypes with inner products (e.g. "'a trm" from the lambda-term example)
blanchet
parents: 49671
diff changeset
  1169
            fun mk_U proj (Type (s as @{type_name prod}, Ts as [T', U])) =
902b24e0ffb4 fixed recursor definition for datatypes with inner products (e.g. "'a trm" from the lambda-term example)
blanchet
parents: 49671
diff changeset
  1170
                if member (op =) fpTs T' then proj (T', U) else Type (s, map (mk_U proj) Ts)
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1171
              | mk_U proj (Type (s, Ts)) = Type (s, map (mk_U proj) Ts)
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1172
              | mk_U _ T = T;
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1173
51794
a1ffbc36323a tuning in preparation for actual changes
blanchet
parents: 51793
diff changeset
  1174
            fun unzip_rec (x as Free (_, T)) =
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
  1175
              if exists_subtype_in fpTs T then
51794
a1ffbc36323a tuning in preparation for actual changes
blanchet
parents: 51793
diff changeset
  1176
                ([build_prod_proj fst_const (T, mk_U fst T) $ x],
a1ffbc36323a tuning in preparation for actual changes
blanchet
parents: 51793
diff changeset
  1177
                 [build_prod_proj snd_const (T, mk_U snd T) $ x])
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1178
              else
51794
a1ffbc36323a tuning in preparation for actual changes
blanchet
parents: 51793
diff changeset
  1179
                ([x], []);
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1180
51793
22f22172a361 started working on compatibility with old package's recursor
blanchet
parents: 51790
diff changeset
  1181
            fun mk_rec_like_arg f xs =
51794
a1ffbc36323a tuning in preparation for actual changes
blanchet
parents: 51793
diff changeset
  1182
              mk_tupled_fun (HOLogic.mk_tuple xs) f (flat_rec unzip_rec xs);
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1183
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1184
            fun generate_rec_like (suf, fp_rec_like, (fss, f_Tss, xsss)) =
49215
blanchet
parents: 49214
diff changeset
  1185
              let
blanchet
parents: 49214
diff changeset
  1186
                val res_T = fold_rev (curry (op --->)) f_Tss fpT_to_C;
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
  1187
                val binding = qualify false fp_b_name (Binding.suffix_name ("_" ^ suf) fp_b);
49215
blanchet
parents: 49214
diff changeset
  1188
                val spec =
49336
blanchet
parents: 49330
diff changeset
  1189
                  mk_Trueprop_eq (lists_bmoc fss (Free (Binding.name_of binding, res_T)),
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1190
                    Term.list_comb (fp_rec_like,
49670
c7a034d01936 changed the type of the recursor for nested recursion
blanchet
parents: 49636
diff changeset
  1191
                      map2 (mk_sum_caseN_balanced oo map2 mk_rec_like_arg) fss xsss));
49336
blanchet
parents: 49330
diff changeset
  1192
              in (binding, spec) end;
49199
7c9a3c67c55d added high-level recursor, not yet curried
blanchet
parents: 49184
diff changeset
  1193
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1194
            val rec_like_infos =
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49502
diff changeset
  1195
              [(foldN, fp_fold, fold_only),
49215
blanchet
parents: 49214
diff changeset
  1196
               (recN, fp_