src/HOL/BNF/Tools/bnf_fp_def_sugar.ML
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more robust iterator construction (needed for mutualized FPs)
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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_sugar =
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    {T: typ,
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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_Util.fp_result,
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     ctr_defss: thm list list,
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     ctr_sugars: BNF_Ctr_Sugar.ctr_sugar list,
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     un_folds: term list,
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     co_recs: term list,
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     co_induct: thm,
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     strong_co_induct: thm,
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     un_fold_thmss: thm list list,
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     co_rec_thmss: thm list list};
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  val morph_fp_sugar: morphism -> fp_sugar -> fp_sugar
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  val fp_sugar_of: Proof.context -> string -> fp_sugar option
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  val tvar_subst: theory -> typ list -> typ list -> ((string * int) * typ) list
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  val exists_subtype_in: typ list -> typ -> bool
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  val nesty_bnfs: Proof.context -> typ list list list -> typ list -> BNF_Def.bnf list
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  val indexify_fst: ''a list -> (int -> ''a * 'b -> 'c) -> ''a * 'b -> 'c
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  val mk_un_fold_co_rec_prelims: bool -> typ list -> typ list -> typ list -> int list ->
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    int list list -> term list -> term list -> Proof.context ->
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    (term list * term list * ((term list list * typ list list * term list list list)
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       * (term list list * typ list list * term list list list)) option
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     * (term list * term list list
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        * ((term list list * term list list list list * term list list list list)
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           * (typ list * typ list list list * typ list list))
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        * ((term list list * term list list list list * term list list list list)
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           * (typ list * typ list list list * typ list list))) option)
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    * Proof.context
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  val build_map: local_theory -> (typ * typ -> term) -> typ * typ -> term
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  val mk_iter_fun_arg_types_pairsss: typ list -> int list -> int list list -> term ->
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    (typ list * typ list) list list list
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  val define_fold_rec: (term list list * typ list list * term list list list)
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      * (term list list * typ list list * term list list list) -> (string -> binding) -> typ list ->
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    typ list -> typ list -> term -> term -> Proof.context ->
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    (term * term * thm * thm) * Proof.context
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  val define_unfold_corec: term list * term list list
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      * ((term list list * term list list list list * term list list list list)
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         * (typ list * typ list list list * typ list list))
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      * ((term list list * term list list list list * term list list list list)
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         * (typ list * typ list list list * typ list list)) ->
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    (string -> binding) -> 'a list -> typ list -> typ list -> term -> term -> Proof.context ->
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    (term * term * thm * thm) * Proof.context
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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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    local_theory ->
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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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    thm list list -> BNF_Ctr_Sugar.ctr_sugar list -> term list -> term list -> thm list ->
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    thm list -> local_theory ->
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    (thm * thm list * thm * thm 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) * (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 co_datatypes: bool -> (mixfix list -> binding list -> binding list -> binding list list ->
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      binding list -> (string * sort) list -> typ list * typ list list -> BNF_Def.bnf list ->
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      local_theory -> BNF_FP_Util.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_co_datatype_cmd: bool -> (mixfix list -> binding list -> binding list ->
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      binding list list -> binding list -> (string * sort) list -> typ list * typ list list ->
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      BNF_Def.bnf list -> local_theory -> BNF_FP_Util.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_Util
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open BNF_FP_Def_Sugar_Tactics
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val EqN = "Eq_";
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type fp_sugar =
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  {T: typ,
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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_defss: thm list list,
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   ctr_sugars: ctr_sugar list,
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   un_folds: term list,
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   co_recs: term list,
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   co_induct: thm,
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   strong_co_induct: thm,
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   un_fold_thmss: thm list list,
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   co_rec_thmss: thm list list};
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fun eq_fp_sugar ({T = T1, lfp = lfp1, index = index1, fp_res = fp_res1, ...} : fp_sugar,
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    {T = T2, lfp = lfp2, index = index2, fp_res = fp_res2, ...} : fp_sugar) =
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  T1 = T2 andalso lfp1 = lfp2 andalso index1 = index2 andalso eq_fp_result (fp_res1, fp_res2);
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fun morph_fp_sugar phi {T, lfp, index, pre_bnfs, fp_res, ctr_defss, ctr_sugars, un_folds, co_recs,
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    co_induct, strong_co_induct, un_fold_thmss, co_rec_thmss} =
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  {T = Morphism.typ phi T, 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_defss = map (map (Morphism.thm phi)) ctr_defss,
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   ctr_sugars = map (morph_ctr_sugar phi) ctr_sugars, un_folds = map (Morphism.term phi) un_folds,
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   co_recs = map (Morphism.term phi) co_recs, co_induct = Morphism.thm phi co_induct,
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   strong_co_induct = Morphism.thm phi strong_co_induct,
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   un_fold_thmss = map (map (Morphism.thm phi)) un_fold_thmss,
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   co_rec_thmss = map (map (Morphism.thm phi)) co_rec_thmss};
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structure Data = Generic_Data
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(
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  type T = fp_sugar 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_sugar;
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);
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val fp_sugar_of = Symtab.lookup o Data.get o Context.Proof;
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fun register_fp_sugar key fp_sugar =
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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_sugar phi fp_sugar)));
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fun register_fp_sugars lfp pre_bnfs (fp_res as {Ts, ...}) ctr_defss ctr_sugars un_folds co_recs
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    co_induct strong_co_induct un_fold_thmss co_rec_thmss lthy =
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  (0, lthy)
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  |> fold (fn T as Type (s, _) => fn (kk, lthy) => (kk + 1,
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    register_fp_sugar s {T = T, lfp = lfp, index = kk, pre_bnfs = pre_bnfs, fp_res = fp_res,
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      ctr_defss = ctr_defss, ctr_sugars = ctr_sugars, un_folds = un_folds, co_recs = co_recs,
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      co_induct = co_induct, strong_co_induct = strong_co_induct, un_fold_thmss = un_fold_thmss,
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      co_rec_thmss = co_rec_thmss} lthy)) Ts
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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 tvar_subst thy Ts Us =
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  Vartab.fold (cons o apsnd snd) (fold (Sign.typ_match thy) (Ts ~~ Us) Vartab.empty) [];
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val exists_subtype_in = Term.exists_subtype o member (op =);
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fun resort_tfree S (TFree (s, _)) = TFree (s, S);
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fun typ_subst_nonatomic 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_nonatomic inst) Ts)
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    | SOME T' => T')
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  | typ_subst_nonatomic inst T = the_default T (AList.lookup (op =) inst T);
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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_co_iter 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_iter_fun_types = fst o split_last o binder_types o fastype_of;
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fun mk_fp_iters ctxt lfp fpTs Cs fp_iters0 =
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  let
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    val thy = Proof_Context.theory_of ctxt;
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    val nn = length fpTs;
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    val (fpTs0, Cs0) =
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      map ((not lfp ? swap) o dest_funT o snd o strip_typeN nn o fastype_of) fp_iters0
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      |> split_list;
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    val rho = tvar_subst thy (fpTs0 @ Cs0) (fpTs @ Cs);
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    val subst = Term.subst_TVars rho;
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  in
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    map subst fp_iters0 |> (fn ts => (ts, mk_fp_iter_fun_types (hd ts)))
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  end;
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fun unzip_recT fpTs T =
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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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  in
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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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  end;
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fun mk_fold_fun_typess y_Tsss Cs = map2 (fn C => map (fn y_Ts => y_Ts ---> C)) Cs y_Tsss;
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val mk_rec_fun_typess = mk_fold_fun_typess oo map o map o flat_rec o unzip_recT;
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fun mk_fun_arg_typess n ms = map2 dest_tupleT ms o dest_sumTN_balanced n o domain_type;
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fun mk_iter_fun_arg_types_pairsss fpTs ns mss =
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  mk_fp_iter_fun_types
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  #> map3 mk_fun_arg_typess ns mss
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  #> map (map (map (unzip_recT fpTs)));
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fun mk_fold_rec_args_types fpTs Cs 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_fun_arg_typess ns mss ctor_fold_fun_Ts;
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    val g_Tss = mk_fold_fun_typess y_Tsss Cs;
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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_fun_arg_typess ns mss ctor_rec_fun_Ts;
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    val h_Tss = mk_rec_fun_typess fpTs z_Tsss Cs;
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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_args_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 = 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_Tssss, (f_sum_prod_Ts, f_Tsss, pf_Tss)) end;
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    val (r_Tssss, g_Tssss, unfold_types) = mk_types single dtor_unfold_fun_Ts;
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    val (s_Tssss, h_Tssss, corec_types) = 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_args 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_args = mk_args rssss gssss;
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    val corec_args = mk_args sssss hssss;
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  in
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    ((cs, cpss, (unfold_args, unfold_types), (corec_args, corec_types)), lthy)
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  end;
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fun mk_un_fold_co_rec_prelims lfp fpTs As Cs ns mss fp_folds0 fp_recs0 lthy =
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  let
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    val (fp_folds, fp_fold_fun_Ts) = mk_fp_iters lthy lfp fpTs Cs fp_folds0;
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    val (fp_recs, fp_rec_fun_Ts) = mk_fp_iters lthy lfp fpTs Cs fp_recs0;
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    val ((fold_rec_args_types, unfold_corec_args_types), lthy') =
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      if lfp then
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        mk_fold_rec_args_types fpTs Cs ns mss fp_fold_fun_Ts fp_rec_fun_Ts lthy
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        |>> (rpair NONE o SOME)
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      else
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        mk_unfold_corec_args_types fpTs Cs ns mss fp_fold_fun_Ts fp_rec_fun_Ts lthy
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        |>> (pair NONE o SOME)
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  in
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    ((fp_folds, fp_recs, fold_rec_args_types, unfold_corec_args_types), lthy')
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  end;
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   367
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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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   372
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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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   377
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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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49124
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fun cannot_merge_types () = error "Mutually recursive types must have the same type parameters";
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   384
49298
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fun merge_type_arg T T' = if T = T' then T else cannot_merge_types ();
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   386
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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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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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   393
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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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   397
fun rel_binding_of (((_, (_, b)), _), _) = b;
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   398
fun mixfix_of ((_, mx), _) = mx;
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   399
fun ctr_specs_of (_, ctr_specs) = ctr_specs;
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   400
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   401
fun disc_of ((((disc, _), _), _), _) = disc;
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   402
fun ctr_of ((((_, ctr), _), _), _) = ctr;
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   403
fun args_of (((_, args), _), _) = args;
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   404
fun defaults_of ((_, ds), _) = ds;
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   405
fun ctr_mixfix_of (_, mx) = mx;
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   406
51907
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   407
fun add_nesty_bnf_names Us =
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   408
  let
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   409
    fun add (Type (s, Ts)) ss =
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   410
        let val (needs, ss') = fold_map add Ts ss in
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   411
          if exists I needs then (true, insert (op =) s ss') else (false, ss')
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        end
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   413
      | add T ss = (member (op =) Us T, ss);
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   414
  in snd oo add end;
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   415
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   416
fun nesty_bnfs ctxt ctr_Tsss Us =
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   417
  map_filter (bnf_of ctxt) (fold (fold (fold (add_nesty_bnf_names Us))) ctr_Tsss []);
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   418
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   419
fun indexify_fst xs f (x, y) = f (find_index (curry (op =) x) xs) (x, y);
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   420
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   421
fun build_map lthy build_simple =
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   422
  let
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   423
    fun build (TU as (T, U)) =
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   424
      if T = U then
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   425
        id_const T
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   426
      else
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   427
        (case TU of
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   428
          (Type (s, Ts), Type (s', Us)) =>
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   429
          if s = s' then
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   430
            let
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   431
              val bnf = the (bnf_of lthy s);
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   432
              val live = live_of_bnf bnf;
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   433
              val mapx = mk_map live Ts Us (map_of_bnf bnf);
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   434
              val TUs' = map dest_funT (fst (strip_typeN live (fastype_of mapx)));
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   435
            in Term.list_comb (mapx, map build TUs') end
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   436
          else
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   437
            build_simple TU
51853
cce8b6ba429d more code rationalization
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   438
        | _ => build_simple TU);
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diff changeset
   439
  in build end;
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   440
51884
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   441
fun mk_iter_body lthy fpTs ctor_iter fss xsss =
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   442
  let
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   443
    fun build_prod_proj mk_proj = build_map lthy (mk_proj o fst);
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   444
2928fda12661 factor out construction of iterator
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   445
    (* TODO: Avoid these complications; cf. corec case *)
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   446
    fun mk_U proj (Type (s as @{type_name prod}, Ts as [T', U])) =
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   447
        if member (op =) fpTs T' then proj (T', U) else Type (s, map (mk_U proj) Ts)
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   448
      | mk_U proj (Type (s, Ts)) = Type (s, map (mk_U proj) Ts)
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   449
      | mk_U _ T = T;
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diff changeset
   450
2928fda12661 factor out construction of iterator
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   451
    fun unzip_rec (x as Free (_, T)) =
2928fda12661 factor out construction of iterator
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diff changeset
   452
      if exists_subtype_in fpTs T then
2928fda12661 factor out construction of iterator
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diff changeset
   453
        ([build_prod_proj fst_const (T, mk_U fst T) $ x],
2928fda12661 factor out construction of iterator
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diff changeset
   454
         [build_prod_proj snd_const (T, mk_U snd T) $ x])
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diff changeset
   455
      else
2928fda12661 factor out construction of iterator
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diff changeset
   456
        ([x], []);
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diff changeset
   457
2928fda12661 factor out construction of iterator
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   458
    fun mk_iter_arg f xs = mk_tupled_fun (HOLogic.mk_tuple xs) f (flat_rec unzip_rec xs);
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   459
  in
2928fda12661 factor out construction of iterator
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diff changeset
   460
    Term.list_comb (ctor_iter, map2 (mk_sum_caseN_balanced oo map2 mk_iter_arg) fss xsss)
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diff changeset
   461
  end;
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diff changeset
   462
51900
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diff changeset
   463
fun mk_preds_getterss_join c cps sum_prod_T cqfss =
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diff changeset
   464
  let val n = length cqfss in
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diff changeset
   465
    Term.lambda c (mk_IfN sum_prod_T cps
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diff changeset
   466
      (map2 (mk_InN_balanced sum_prod_T n) (map HOLogic.mk_tuple cqfss) (1 upto n)))
blanchet
parents: 51899
diff changeset
   467
  end;
51886
e7fac4a483b5 started factoring out coiter construction
blanchet
parents: 51885
diff changeset
   468
51900
blanchet
parents: 51899
diff changeset
   469
fun mk_coiter_body lthy cs cpss f_sum_prod_Ts f_Tsss cqssss cfssss dtor_coiter =
51888
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   470
  let
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   471
    fun build_sum_inj mk_inj = build_map lthy (uncurry mk_inj o dest_sumT o snd);
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   472
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   473
    fun build_dtor_coiter_arg _ [] [cf] = cf
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   474
      | build_dtor_coiter_arg T [cq] [cf, cf'] =
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   475
        mk_If cq (build_sum_inj Inl_const (fastype_of cf, T) $ cf)
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   476
          (build_sum_inj Inr_const (fastype_of cf', T) $ cf')
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   477
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   478
    val cqfsss = map3 (map3 (map3 build_dtor_coiter_arg)) f_Tsss cqssss cfssss;
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   479
  in
51900
blanchet
parents: 51899
diff changeset
   480
    Term.list_comb (dtor_coiter, map4 mk_preds_getterss_join cs cpss f_sum_prod_Ts cqfsss)
51888
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   481
  end;
51886
e7fac4a483b5 started factoring out coiter construction
blanchet
parents: 51885
diff changeset
   482
51907
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   483
fun define_fold_rec (fold_only, rec_only) mk_binding fpTs As Cs ctor_fold ctor_rec lthy0 =
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   484
  let
51899
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   485
    val nn = length fpTs;
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   486
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   487
    val fpT_to_C = snd (strip_typeN nn (fastype_of ctor_fold));
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   488
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   489
    fun generate_iter (suf, ctor_iter, (fss, f_Tss, xsss)) =
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   490
      let
51899
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   491
        val res_T = fold_rev (curry (op --->)) f_Tss fpT_to_C;
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   492
        val binding = mk_binding suf;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   493
        val spec =
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   494
          mk_Trueprop_eq (lists_bmoc fss (Free (Binding.name_of binding, res_T)),
51907
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   495
            mk_iter_body lthy0 fpTs ctor_iter fss xsss);
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   496
      in (binding, spec) end;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   497
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   498
    val binding_specs =
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   499
      map generate_iter [(foldN, ctor_fold, fold_only), (recN, ctor_rec, rec_only)];
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   500
51907
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   501
    val ((csts, defs), (lthy', lthy)) = lthy0
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   502
      |> apfst split_list o fold_map (fn (b, spec) =>
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   503
        Specification.definition (SOME (b, NONE, NoSyn), ((Thm.def_binding b, []), spec))
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   504
        #>> apsnd snd) binding_specs
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   505
      ||> `Local_Theory.restore;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   506
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   507
    val phi = Proof_Context.export_morphism lthy lthy';
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   508
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   509
    val [fold_def, rec_def] = map (Morphism.thm phi) defs;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   510
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   511
    val [foldx, recx] = map (mk_co_iter true As Cs o Morphism.term phi) csts;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   512
  in
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   513
    ((foldx, recx, fold_def, rec_def), lthy')
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   514
  end;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   515
51902
blanchet
parents: 51900
diff changeset
   516
fun define_unfold_corec (cs, cpss, unfold_only, corec_only) mk_binding fpTs As Cs dtor_unfold
51907
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   517
    dtor_corec lthy0 =
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   518
  let
51899
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   519
    val nn = length fpTs;
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   520
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   521
    val C_to_fpT = snd (strip_typeN nn (fastype_of dtor_unfold));
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   522
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   523
    fun generate_coiter (suf, dtor_coiter, ((pfss, cqssss, cfssss),
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   524
        (f_sum_prod_Ts, f_Tsss, pf_Tss))) =
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   525
      let
51899
c2c23ac31973 code tuning
blanchet
parents: 51897
diff changeset
   526
        val res_T = fold_rev (curry (op --->)) pf_Tss C_to_fpT;
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   527
        val binding = mk_binding suf;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   528
        val spec =
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   529
          mk_Trueprop_eq (lists_bmoc pfss (Free (Binding.name_of binding, res_T)),
51907
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   530
            mk_coiter_body lthy0 cs cpss f_sum_prod_Ts f_Tsss cqssss cfssss dtor_coiter);
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   531
      in (binding, spec) end;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   532
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   533
    val binding_specs =
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   534
      map generate_coiter [(unfoldN, dtor_unfold, unfold_only), (corecN, dtor_corec, corec_only)];
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   535
51907
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
   536
    val ((csts, defs), (lthy', lthy)) = lthy0
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   537
      |> apfst split_list o fold_map (fn (b, spec) =>
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   538
        Specification.definition (SOME (b, NONE, NoSyn), ((Thm.def_binding b, []), spec))
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   539
        #>> apsnd snd) binding_specs
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   540
      ||> `Local_Theory.restore;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   541
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   542
    val phi = Proof_Context.export_morphism lthy lthy';
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   543
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   544
    val [unfold_def, corec_def] = map (Morphism.thm phi) defs;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   545
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   546
    val [unfold, corec] = map (mk_co_iter false As Cs o Morphism.term phi) csts;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   547
  in
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   548
    ((unfold, corec, unfold_def, corec_def), lthy')
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   549
  end;
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
   550
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   551
fun derive_induct_fold_rec_thms_for_types pre_bnfs ctor_folds0 ctor_recs0 ctor_induct ctor_fold_thms
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   552
    ctor_rec_thms nesting_bnfs nested_bnfs fpTs Cs As ctrss ctr_defss folds recs fold_defs rec_defs
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   553
    lthy =
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   554
  let
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   555
    val ctr_Tsss = map (map (binder_types o fastype_of)) ctrss;
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   556
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   557
    val nn = length pre_bnfs;
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   558
    val ns = map length ctr_Tsss;
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   559
    val mss = map (map length) ctr_Tsss;
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   560
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   561
    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
blanchet
parents: 51805
diff changeset
   562
    val pre_set_defss = map set_defs_of_bnf pre_bnfs;
51830
blanchet
parents: 51829
diff changeset
   563
    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
blanchet
parents: 51805
diff changeset
   564
    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
blanchet
parents: 51805
diff changeset
   565
    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
blanchet
parents: 51808
diff changeset
   566
    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
blanchet
parents: 51805
diff changeset
   567
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   568
    val fp_b_names = map base_name_of_typ fpTs;
51811
1461426e2bf1 tuned function signatures
blanchet
parents: 51810
diff changeset
   569
51911
6c425d450a8c more robust iterator construction (needed for mutualized FPs)
blanchet
parents: 51910
diff changeset
   570
    val (_, ctor_fold_fun_Ts) = mk_fp_iters lthy true fpTs Cs ctor_folds0;
6c425d450a8c more robust iterator construction (needed for mutualized FPs)
blanchet
parents: 51910
diff changeset
   571
    val (_, ctor_rec_fun_Ts) = mk_fp_iters lthy true fpTs Cs ctor_recs0;
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   572
51835
56523caf372f Added maps, sets, rels to "simps" thm collection
blanchet
parents: 51833
diff changeset
   573
    val (((gss, _, _), (hss, _, _)), names_lthy0) =
51889
blanchet
parents: 51888
diff changeset
   574
      mk_fold_rec_args_types fpTs Cs ns mss ctor_fold_fun_Ts ctor_rec_fun_Ts lthy;
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   575
51832
blanchet
parents: 51831
diff changeset
   576
    val ((((ps, ps'), xsss), us'), names_lthy) =
blanchet
parents: 51831
diff changeset
   577
      names_lthy0
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   578
      |> mk_Frees' "P" (map mk_pred1T fpTs)
51827
836257faaad5 tuned signature
blanchet
parents: 51824
diff changeset
   579
      ||>> mk_Freesss "x" ctr_Tsss
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   580
      ||>> 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
blanchet
parents: 51805
diff changeset
   581
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   582
    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
blanchet
parents: 51805
diff changeset
   583
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   584
    fun mk_sets_nested bnf =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   585
      let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   586
        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
blanchet
parents: 51805
diff changeset
   587
        val lives = lives_of_bnf bnf;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   588
        val sets = sets_of_bnf bnf;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   589
        fun mk_set U =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   590
          (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
blanchet
parents: 51805
diff changeset
   591
            ~1 => Term.dummy
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   592
          | i => nth sets i);
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   593
      in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   594
        (T_name, map mk_set Us)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   595
      end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   596
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   597
    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
blanchet
parents: 51805
diff changeset
   598
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   599
    val (induct_thms, induct_thm) =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   600
      let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   601
        fun mk_set Ts t =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   602
          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
blanchet
parents: 51805
diff changeset
   603
            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
blanchet
parents: 51805
diff changeset
   604
          end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   605
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   606
        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
blanchet
parents: 51805
diff changeset
   607
            (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
   608
              ~1 =>
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   609
              (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
blanchet
parents: 51805
diff changeset
   610
                NONE => []
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   611
              | SOME raw_sets0 =>
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   612
                let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   613
                  val (Ts, raw_sets) =
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   614
                    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
blanchet
parents: 51805
diff changeset
   615
                  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
blanchet
parents: 51805
diff changeset
   616
                  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
blanchet
parents: 51805
diff changeset
   617
                  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
blanchet
parents: 51805
diff changeset
   618
                  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
blanchet
parents: 51805
diff changeset
   619
                in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   620
                  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
blanchet
parents: 51805
diff changeset
   621
                end)
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   622
            | kk => [([], (kk + 1, x))])
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   623
          | mk_raw_prem_prems _ _ = [];
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   624
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   625
        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
   626
          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
   627
            (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
blanchet
parents: 51805
diff changeset
   628
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   629
        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
   630
          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
blanchet
parents: 51805
diff changeset
   631
              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
blanchet
parents: 51805
diff changeset
   632
            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
blanchet
parents: 51805
diff changeset
   633
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   634
        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
blanchet
parents: 51805
diff changeset
   635
          let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   636
            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
   637
            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
   638
          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
   639
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   640
        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
   641
          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
   642
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   643
        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
   644
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   645
        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
   646
          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
   647
            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
   648
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   649
        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
   650
51814
blanchet
parents: 51813
diff changeset
   651
        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
   652
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   653
        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
   654
          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
   655
            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
   656
              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
   657
          |> 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
   658
          |> 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
   659
      in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   660
        `(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
   661
      end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   662
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   663
    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
   664
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   665
    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
   666
      let
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   667
        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
   668
        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
   669
        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
   670
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   671
        fun mk_goal fss fiter xctr f xs fxs =
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   672
          fold_rev (fold_rev Logic.all) (xs :: fss)
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   673
            (mk_Trueprop_eq (fiter $ xctr, Term.list_comb (f, fxs)));
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   674
51845
af9a208e6543 further enrich data structure
blanchet
parents: 51844
diff changeset
   675
        val mk_U = typ_subst_nonatomic (map2 pair fpTs Cs);
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   676
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   677
        fun unzip_iters fiters combine (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
   678
          if exists_subtype_in fpTs T then
51855
fcdf213d332c more code rationalization
blanchet
parents: 51854
diff changeset
   679
            combine (x, build_map lthy (indexify_fst fpTs (K o nth fiters)) (T, mk_U T) $ x)
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   680
          else
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   681
            ([x], []);
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   682
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   683
        val gxsss = map (map (flat_rec (unzip_iters gfolds (fn (_, t) => ([t], []))))) xsss;
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   684
        val hxsss = map (map (flat_rec (unzip_iters hrecs (pairself single)))) xsss;
51808
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   685
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   686
        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
   687
        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
   688
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   689
        val fold_tacss =
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   690
          map2 (map o mk_iter_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
   691
            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
   692
        val rec_tacss =
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   693
          map2 (map o mk_iter_tac pre_map_defs nested_map_comp's
51814
blanchet
parents: 51813
diff changeset
   694
            (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
   695
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   696
        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
   697
          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
   698
          |> 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
   699
      in
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   700
        (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
   701
      end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   702
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   703
    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
   704
  in
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   705
    ((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
   706
     (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
   707
  end;
355dcd6a9b3c factored out derivation of induction principles, folds and recs, in preparation for reduction of nested to mutual
blanchet
parents: 51805
diff changeset
   708
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   709
fun derive_coinduct_unfold_corec_thms_for_types pre_bnfs dtor_unfolds0 dtor_corecs0 dtor_coinduct
51814
blanchet
parents: 51813
diff changeset
   710
    dtor_strong_induct dtor_ctors dtor_unfold_thms dtor_corec_thms nesting_bnfs nested_bnfs fpTs Cs
51840
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   711
    As kss mss ns ctr_defss ctr_sugars unfolds corecs unfold_defs corec_defs lthy =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   712
  let
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   713
    val nn = length pre_bnfs;
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   714
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   715
    val pre_map_defs = map map_def_of_bnf pre_bnfs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   716
    val pre_rel_defs = map rel_def_of_bnf pre_bnfs;
51830
blanchet
parents: 51829
diff changeset
   717
    val nesting_map_ids'' = map (unfold_thms lthy @{thms id_def} o map_id_of_bnf) nesting_bnfs;
blanchet
parents: 51829
diff changeset
   718
    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
   719
    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
   720
    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
   721
    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
   722
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   723
    val fp_b_names = map base_name_of_typ fpTs;
51811
1461426e2bf1 tuned function signatures
blanchet
parents: 51810
diff changeset
   724
51911
6c425d450a8c more robust iterator construction (needed for mutualized FPs)
blanchet
parents: 51910
diff changeset
   725
    val (_, dtor_unfold_fun_Ts) = mk_fp_iters lthy false fpTs Cs dtor_unfolds0;
6c425d450a8c more robust iterator construction (needed for mutualized FPs)
blanchet
parents: 51910
diff changeset
   726
    val (_, dtor_corec_fun_Ts) = mk_fp_iters lthy false fpTs Cs dtor_corecs0;
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   727
51840
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   728
    val ctrss = map (map (mk_ctr As) o #ctrs) ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   729
    val discss = map (map (mk_disc_or_sel As) o #discs) ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   730
    val selsss = map (map (map (mk_disc_or_sel As)) o #selss) ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   731
    val exhausts = map #exhaust ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   732
    val disc_thmsss = map #disc_thmss ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   733
    val discIss = map #discIs ctr_sugars;
b304fb6c5ef5 renamed records
blanchet
parents: 51839
diff changeset
   734
    val sel_thmsss = map #sel_thmss ctr_sugars;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   735
51831
blanchet
parents: 51830
diff changeset
   736
    val ((cs, cpss, ((pgss, crssss, cgssss), _), ((phss, csssss, chssss), _)), names_lthy0) =
51888
1cbcc0cc6bdf imported patch refactor_coiter_constr
blanchet
parents: 51886
diff changeset
   737
      mk_unfold_corec_args_types fpTs Cs ns mss dtor_unfold_fun_Ts dtor_corec_fun_Ts lthy;
51831
blanchet
parents: 51830
diff changeset
   738
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   739
    val (((rs, us'), vs'), names_lthy) =
51831
blanchet
parents: 51830
diff changeset
   740
      names_lthy0
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   741
      |> mk_Frees "R" (map (fn T => mk_pred2T T T) fpTs)
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   742
      ||>> Variable.variant_fixes fp_b_names
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   743
      ||>> Variable.variant_fixes (map (suffix "'") fp_b_names);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   744
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   745
    val us = map2 (curry Free) us' fpTs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   746
    val udiscss = map2 (map o rapp) us discss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   747
    val uselsss = map2 (map o map o rapp) us selsss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   748
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   749
    val vs = map2 (curry Free) vs' fpTs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   750
    val vdiscss = map2 (map o rapp) vs discss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   751
    val vselsss = map2 (map o map o rapp) vs selsss;
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 ((coinduct_thms, coinduct_thm), (strong_coinduct_thms, strong_coinduct_thm)) =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   754
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   755
        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
   756
        val uv_eqs = map2 (curry HOLogic.mk_eq) us vs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   757
        val strong_rs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   758
          map4 (fn u => fn v => fn uvr => fn uv_eq =>
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   759
            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
   760
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   761
        fun build_rel rs' T =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   762
          (case find_index (curry (op =) T) fpTs of
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   763
            ~1 =>
51856
blanchet
parents: 51855
diff changeset
   764
            if exists_subtype_in fpTs T then
blanchet
parents: 51855
diff changeset
   765
              let
blanchet
parents: 51855
diff changeset
   766
                val Type (s, Ts) = T
blanchet
parents: 51855
diff changeset
   767
                val bnf = the (bnf_of lthy s);
blanchet
parents: 51855
diff changeset
   768
                val live = live_of_bnf bnf;
blanchet
parents: 51855
diff changeset
   769
                val rel = mk_rel live Ts Ts (rel_of_bnf bnf);
blanchet
parents: 51855
diff changeset
   770
                val Ts' = map domain_type (fst (strip_typeN live (fastype_of rel)));
blanchet
parents: 51855
diff changeset
   771
              in Term.list_comb (rel, map (build_rel rs') Ts') end
blanchet
parents: 51855
diff changeset
   772
            else
blanchet
parents: 51855
diff changeset
   773
              HOLogic.eq_const T
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   774
          | kk => nth rs' kk);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   775
51856
blanchet
parents: 51855
diff changeset
   776
        fun build_rel_app rs' usel vsel = fold rapp [usel, vsel] (build_rel rs' (fastype_of usel));
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   777
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   778
        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
   779
          (if k = n then [] else [HOLogic.mk_eq (udisc, vdisc)]) @
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   780
          (if null usels then
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   781
             []
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   782
           else
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   783
             [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
   784
                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
   785
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   786
        fun mk_prem_concl rs' n udiscs uselss vdiscs vselss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   787
          Library.foldr1 HOLogic.mk_conj
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   788
            (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
   789
          handle List.Empty => @{term True};
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   790
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   791
        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
   792
          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
   793
            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
   794
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   795
        val concl =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   796
          HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   797
            (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
   798
               uvrs us vs));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   799
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   800
        fun mk_goal rs' =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   801
          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
   802
            concl);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   803
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   804
        val goal = mk_goal rs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   805
        val strong_goal = mk_goal strong_rs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   806
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   807
        fun prove dtor_coinduct' goal =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   808
          Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, ...} =>
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   809
            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
   810
              exhausts ctr_defss disc_thmsss sel_thmsss)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   811
          |> singleton (Proof_Context.export names_lthy lthy)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   812
          |> Thm.close_derivation;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   813
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   814
        fun postproc nn thm =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   815
          Thm.permute_prems 0 nn
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   816
            (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
   817
          |> Drule.zero_var_indexes
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   818
          |> `(conj_dests nn);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   819
      in
51814
blanchet
parents: 51813
diff changeset
   820
        (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
   821
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   822
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   823
    fun mk_coinduct_concls ms discs ctrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   824
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   825
        fun mk_disc_concl disc = [name_of_disc disc];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   826
        fun mk_ctr_concl 0 _ = []
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   827
          | mk_ctr_concl _ ctor = [name_of_ctr ctor];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   828
        val disc_concls = map mk_disc_concl (fst (split_last discs)) @ [[]];
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   829
        val ctr_concls = map2 mk_ctr_concl ms ctrs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   830
      in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   831
        flat (map2 append disc_concls ctr_concls)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   832
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   833
51816
5f1dec4297da use base names, not full names
blanchet
parents: 51815
diff changeset
   834
    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
   835
    val coinduct_conclss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   836
      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
   837
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   838
    fun mk_maybe_not pos = not pos ? HOLogic.mk_not;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   839
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   840
    val gunfolds = map (lists_bmoc pgss) unfolds;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   841
    val hcorecs = map (lists_bmoc phss) corecs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   842
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   843
    val (unfold_thmss, corec_thmss, safe_unfold_thmss, safe_corec_thmss) =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   844
      let
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   845
        fun mk_goal pfss c cps fcoiter n k ctr m cfs' =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   846
          fold_rev (fold_rev Logic.all) ([c] :: pfss)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   847
            (Logic.list_implies (seq_conds (HOLogic.mk_Trueprop oo mk_maybe_not) n k cps,
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   848
               mk_Trueprop_eq (fcoiter $ c, Term.list_comb (ctr, take m cfs'))));
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   849
51845
af9a208e6543 further enrich data structure
blanchet
parents: 51844
diff changeset
   850
        val mk_U = typ_subst_nonatomic (map2 pair Cs fpTs);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   851
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   852
        fun intr_coiters fcoiters [] [cf] =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   853
            let val T = fastype_of cf in
51855
fcdf213d332c more code rationalization
blanchet
parents: 51854
diff changeset
   854
              if exists_subtype_in Cs T then
fcdf213d332c more code rationalization
blanchet
parents: 51854
diff changeset
   855
                build_map lthy (indexify_fst Cs (K o nth fcoiters)) (T, mk_U T) $ cf
fcdf213d332c more code rationalization
blanchet
parents: 51854
diff changeset
   856
              else
fcdf213d332c more code rationalization
blanchet
parents: 51854
diff changeset
   857
                cf
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   858
            end
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   859
          | intr_coiters fcoiters [cq] [cf, cf'] =
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   860
            mk_If cq (intr_coiters fcoiters [] [cf]) (intr_coiters fcoiters [] [cf']);
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   861
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   862
        val crgsss = map2 (map2 (map2 (intr_coiters gunfolds))) crssss cgssss;
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   863
        val cshsss = map2 (map2 (map2 (intr_coiters hcorecs))) csssss chssss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   864
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   865
        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
   866
        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
   867
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   868
        fun mk_map_if_distrib bnf =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   869
          let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   870
            val mapx = map_of_bnf bnf;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   871
            val live = live_of_bnf bnf;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   872
            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
   873
            val fs = Variable.variant_frees lthy [mapx] (map (pair "f") Ts);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   874
            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
   875
          in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   876
            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
   877
              @{thm if_distrib}
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   878
          end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   879
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   880
        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
   881
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   882
        val unfold_tacss =
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   883
          map3 (map oo mk_coiter_tac unfold_defs [] [] nesting_map_ids'' [])
51814
blanchet
parents: 51813
diff changeset
   884
            dtor_unfold_thms pre_map_defs ctr_defss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   885
        val corec_tacss =
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   886
          map3 (map oo mk_coiter_tac corec_defs nested_map_comps'' nested_map_comp's
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   887
              (nested_map_ids'' @ nesting_map_ids'') nested_map_if_distribs)
51814
blanchet
parents: 51813
diff changeset
   888
            dtor_corec_thms pre_map_defs ctr_defss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   889
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   890
        fun prove goal tac =
51815
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   891
          Goal.prove_sorry lthy [] [] goal (tac o #context)
efacb9b99865 tune signatures
blanchet
parents: 51814
diff changeset
   892
          |> Thm.close_derivation;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   893
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   894
        val unfold_thmss = map2 (map2 prove) unfold_goalss unfold_tacss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   895
        val corec_thmss = map2 (map2 prove) corec_goalss corec_tacss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   896
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   897
        val filter_safesss =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   898
          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
   899
            curry (op ~~)) (map2 (map2 (map2 (member (op =)))) cgssss crgsss);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   900
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   901
        val safe_unfold_thmss = filter_safesss unfold_thmss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   902
        val safe_corec_thmss = filter_safesss corec_thmss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   903
      in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   904
        (unfold_thmss, corec_thmss, safe_unfold_thmss, safe_corec_thmss)
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   905
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   906
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   907
    val (disc_unfold_iff_thmss, disc_corec_iff_thmss) =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   908
      let
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   909
        fun mk_goal c cps fcoiter n k disc =
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   910
          mk_Trueprop_eq (disc $ (fcoiter $ c),
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   911
            if n = 1 then @{const True}
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   912
            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
   913
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   914
        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
   915
        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
   916
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   917
        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
   918
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   919
        val case_splitss' = map (map mk_case_split') cpss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   920
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   921
        val unfold_tacss =
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   922
          map3 (map oo mk_disc_coiter_iff_tac) case_splitss' unfold_thmss disc_thmsss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   923
        val corec_tacss =
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   924
          map3 (map oo mk_disc_coiter_iff_tac) case_splitss' corec_thmss disc_thmsss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   925
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   926
        fun prove goal tac =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   927
          Goal.prove_sorry lthy [] [] goal (tac o #context)
51829
3cc93eeac8cc signature tuning
blanchet
parents: 51828
diff changeset
   928
          |> singleton (Proof_Context.export names_lthy lthy)
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   929
          |> Thm.close_derivation;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   930
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   931
        fun proves [_] [_] = []
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   932
          | proves goals tacs = map2 prove goals tacs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   933
      in
51828
67c6d6136915 whitespace tuning
blanchet
parents: 51827
diff changeset
   934
        (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
   935
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   936
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   937
    val is_triv_discI = is_triv_implies orf is_concl_refl;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   938
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   939
    fun mk_disc_coiter_thms coiters discIs =
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   940
      map (op RS) (filter_out (is_triv_discI o snd) (coiters ~~ discIs));
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   941
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   942
    val disc_unfold_thmss = map2 mk_disc_coiter_thms unfold_thmss discIss;
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   943
    val disc_corec_thmss = map2 mk_disc_coiter_thms corec_thmss discIss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   944
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   945
    fun mk_sel_coiter_thm coiter_thm sel sel_thm =
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   946
      let
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   947
        val (domT, ranT) = dest_funT (fastype_of sel);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   948
        val arg_cong' =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   949
          Drule.instantiate' (map (SOME o certifyT lthy) [domT, ranT])
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   950
            [NONE, NONE, SOME (certify lthy sel)] arg_cong
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   951
          |> Thm.varifyT_global;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   952
        val sel_thm' = sel_thm RSN (2, trans);
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   953
      in
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   954
        coiter_thm RS arg_cong' RS sel_thm'
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   955
      end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   956
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   957
    fun mk_sel_coiter_thms coiterss =
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   958
      map3 (map3 (map2 o mk_sel_coiter_thm)) coiterss selsss sel_thmsss |> map flat;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   959
51843
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   960
    val sel_unfold_thmss = mk_sel_coiter_thms unfold_thmss;
899663644482 rationalized terminology (iterator = fold or rec, xxfoo = (co)foo or (un)foo)
blanchet
parents: 51842
diff changeset
   961
    val sel_corec_thmss = mk_sel_coiter_thms corec_thmss;
51810
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   962
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   963
    val coinduct_consumes_attr = Attrib.internal (K (Rule_Cases.consumes nn));
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   964
    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
   965
    val coinduct_case_concl_attrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   966
      map2 (fn casex => fn concls =>
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   967
          Attrib.internal (K (Rule_Cases.case_conclusion (casex, concls))))
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   968
        coinduct_cases coinduct_conclss;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   969
    val coinduct_case_attrs =
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   970
      coinduct_consumes_attr :: coinduct_case_names_attr :: coinduct_case_concl_attrs;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   971
  in
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   972
    ((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
   973
     (unfold_thmss, corec_thmss, []),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   974
     (safe_unfold_thmss, safe_corec_thmss),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   975
     (disc_unfold_thmss, disc_corec_thmss, simp_attrs),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   976
     (disc_unfold_iff_thmss, disc_corec_iff_thmss, simp_attrs),
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   977
     (sel_unfold_thmss, sel_corec_thmss, simp_attrs))
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   978
  end;
7b75fab5ebf5 factored out derivation of coinduction, unfold, corec
blanchet
parents: 51808
diff changeset
   979
51863
d77cf35c27ac tuning names
blanchet
parents: 51860
diff changeset
   980
fun define_co_datatypes prepare_constraint prepare_typ prepare_term lfp construct_fp
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   981
    (wrap_opts as (no_dests, rep_compat), specs) no_defs_lthy0 =
49112
4de4635d8f93 started work on sugared "(co)data" commands
blanchet
parents:
diff changeset
   982
  let
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   983
    (* TODO: sanity checks on arguments *)
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   984
49286
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
   985
    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
   986
      else ();
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   987
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   988
    fun qualify mandatory fp_b_name =
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
   989
      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
   990
49367
blanchet
parents: 49366
diff changeset
   991
    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
   992
    val fp_bs = map type_binding_of specs;
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   993
    val fp_b_names = map Binding.name_of fp_bs;
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
   994
    val fp_common_name = mk_common_name fp_b_names;
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
   995
    val map_bs = map map_binding_of specs;
51767
bbcdd8519253 honor user-specified name for relator + generalize syntax
blanchet
parents: 51766
diff changeset
   996
    val rel_bs = map rel_binding_of specs;
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   997
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
   998
    fun prepare_type_arg (_, (ty, c)) =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
   999
      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
  1000
        TFree (s, prepare_constraint no_defs_lthy0 c)
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1001
      end;
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1002
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
  1003
    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
  1004
    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
  1005
    val unsorted_As = Library.foldr1 merge_type_args unsorted_Ass0;
51758
55963309557b honor user-specified name for map function
blanchet
parents: 51757
diff changeset
  1006
    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
  1007
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1008
    val (((Bs0, Cs), Xs), no_defs_lthy) =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1009
      no_defs_lthy0
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1010
      |> 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
  1011
      |> mk_TFrees (length unsorted_As)
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1012
      ||>> mk_TFrees nn
51858
7a08fe1e19b1 added and moved library functions (used in primrec code)
blanchet
parents: 51857
diff changeset
  1013
      ||>> variant_tfrees fp_b_names;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1014
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1015
    (* TODO: cleaner handling of fake contexts, without "background_theory" *)
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1016
    (*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
  1017
      locale and shadows an existing global type*)
51768
d2a236b10796 proper error generated for wrong mixfix
blanchet
parents: 51767
diff changeset
  1018
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
  1019
    fun add_fake_type spec =
51768
d2a236b10796 proper error generated for wrong mixfix
blanchet
parents: 51767
diff changeset
  1020
      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
  1021
        length (type_args_named_constrained_of spec), mixfix_of spec);
51768
d2a236b10796 proper error generated for wrong mixfix
blanchet
parents: 51767
diff changeset
  1022
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
  1023
    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
  1024
    val fake_lthy = Proof_Context.background_theory fake_thy no_defs_lthy;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1025
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
  1026
    fun mk_fake_T b =
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1027
      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
  1028
        unsorted_As);
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1029
49302
f5bd87aac224 added optional qualifiers for constructors and destructors, similarly to the old package
blanchet
parents: 49300
diff changeset
  1030
    val fake_Ts = map mk_fake_T fp_bs;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1031
49181
blanchet
parents: 49180
diff changeset
  1032
    val mixfixes = map mixfix_of specs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1033
49302
f5bd87aac224 added optional qualifiers for constructors and destructors, similarly to the old package
blanchet
parents: 49300
diff changeset
  1034
    val _ = (case duplicates Binding.eq_name fp_bs of [] => ()
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1035
      | b :: _ => error ("Duplicate type name declaration " ^ quote (Binding.name_of b)));
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1036
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1037
    val ctr_specss = map ctr_specs_of specs;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1038
49336
blanchet
parents: 49330
diff changeset
  1039
    val disc_bindingss = map (map disc_of) ctr_specss;
blanchet
parents: 49330
diff changeset
  1040
    val ctr_bindingss =
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
  1041
      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
  1042
    val ctr_argsss = map (map args_of) ctr_specss;
49181
blanchet
parents: 49180
diff changeset
  1043
    val ctr_mixfixess = map (map ctr_mixfix_of) ctr_specss;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1044
49336
blanchet
parents: 49330
diff changeset
  1045
    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
  1046
    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
  1047
    val raw_sel_defaultsss = map (map defaults_of) ctr_specss;
dde4967c9233 added "defaults" option
blanchet
parents: 49280
diff changeset
  1048
49308
6190b701e4f4 reorganized dependencies so that the sugar does not depend on GFP -- this will be essential for bootstrapping
blanchet
parents: 49302
diff changeset
  1049
    val (As :: _) :: fake_ctr_Tsss =
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1050
      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
  1051
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1052
    val _ = (case duplicates (op =) unsorted_As of [] => ()
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1053
      | A :: _ => error ("Duplicate type parameter " ^
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1054
          quote (Syntax.string_of_typ no_defs_lthy A)));
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1055
49183
0cc46e2dee7e careful about constructor types w.r.t. fake context (third step of localization)
blanchet
parents: 49182
diff changeset
  1056
    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
  1057
    val _ = (case subtract (op =) (map dest_TFree As) rhs_As' of
49165
c6ccaf6df93c check type variables on rhs
blanchet
parents: 49161
diff changeset
  1058
        [] => ()
49342
8ea4bad49ed5 rough and ready induction
blanchet
parents: 49338
diff changeset
  1059
      | A' :: _ => error ("Extra type variable on right-hand side: " ^
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
  1060
          quote (Syntax.string_of_typ no_defs_lthy (TFree A'))));
49165
c6ccaf6df93c check type variables on rhs
blanchet
parents: 49161
diff changeset
  1061
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1062
    fun eq_fpT_check (T as Type (s, Us)) (Type (s', Us')) =
49146
e32b1f748854 added a check
blanchet
parents: 49135
diff changeset
  1063
        s = s' andalso (Us = Us' orelse error ("Illegal occurrence of recursive type " ^
e32b1f748854 added a check
blanchet
parents: 49135
diff changeset
  1064
          quote (Syntax.string_of_typ fake_lthy T)))
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1065
      | eq_fpT_check _ _ = false;
49146
e32b1f748854 added a check
blanchet
parents: 49135
diff changeset
  1066
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
  1067
    fun freeze_fp (T as Type (s, Us)) =
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1068
        (case find_index (eq_fpT_check T) fake_Ts of
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1069
          ~1 => Type (s, map freeze_fp Us)
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49590
diff changeset
  1070
        | kk => nth Xs kk)
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
  1071
      | freeze_fp T = T;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1072
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
  1073
    val ctr_TsssXs = map (map (map freeze_fp)) fake_ctr_Tsss;
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
  1074
    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
  1075
49298
36e551d3af3b support for sort constraints in new (co)data commands
blanchet
parents: 49297
diff changeset
  1076
    val fp_eqs =
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
  1077
      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
  1078
51839
5c552de1d8d1 added constructors to data structure
blanchet
parents: 51838
diff changeset
  1079
    val (pre_bnfs, (fp_res as {bnfs = fp_bnfs as any_fp_bnf :: _, ctors = ctors0, dtors = dtors0,
51869
d58cd7673b04 renamings
blanchet
parents: 51868
diff changeset
  1080
           un_folds = fp_folds0, co_recs = fp_recs0, co_induct = fp_induct,
d58cd7673b04 renamings
blanchet
parents: 51868
diff changeset
  1081
           strong_co_induct = fp_strong_induct, dtor_ctors, ctor_dtors, ctor_injects,
d58cd7673b04 renamings
blanchet
parents: 51868
diff changeset
  1082
           map_thms = fp_map_thms, set_thmss = fp_set_thmss, rel_thms = fp_rel_thms,
d58cd7673b04 renamings
blanchet
parents: 51868
diff changeset
  1083
           un_fold_thms = fp_fold_thms, co_rec_thms = fp_rec_thms, ...}, lthy)) =
51868
4ab609682752 code tuning
blanchet
parents: 51867
diff changeset
  1084
      fp_bnf (construct_fp mixfixes map_bs rel_bs set_bss) fp_bs (map dest_TFree unsorted_As) fp_eqs
4ab609682752 code tuning
blanchet
parents: 51867
diff changeset
  1085
        no_defs_lthy0;
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1086
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1087
    val timer = time (Timer.startRealTimer ());
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1088
51907
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
  1089
    val nesting_bnfs = nesty_bnfs lthy ctr_TsssXs As;
882d850aa3ca export one more function
blanchet
parents: 51906
diff changeset
  1090
    val nested_bnfs = nesty_bnfs lthy ctr_TsssXs Xs;
49226
510c6d4a73ec fixed and enabled iterator/recursor theorems
blanchet
parents: 49224
diff changeset
  1091
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1092
    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
  1093
    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
  1094
    val pre_rel_defs = map rel_def_of_bnf pre_bnfs;
51830
blanchet
parents: 51829
diff changeset
  1095
    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
  1096
    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
  1097
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1098
    val live = live_of_bnf any_fp_bnf;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1099
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1100
    val Bs =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1101
      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
  1102
        (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
  1103
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1104
    val B_ify = Term.typ_subst_atomic (As ~~ Bs);
49167
68623861e0f2 print timing information
blanchet
parents: 49165
diff changeset
  1105
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1106
    val ctors = map (mk_ctor As) ctors0;
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1107
    val dtors = map (mk_dtor As) dtors0;
49124
968e1b7de057 more work on FP sugar
blanchet
parents: 49123
diff changeset
  1108
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1109
    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
  1110
51780
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1111
    fun massage_simple_notes base =
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1112
      filter_out (null o #2)
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1113
      #> map (fn (thmN, thms, attrs) =>
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1114
        ((qualify true base (Binding.name thmN), attrs), [(thms, [])]));
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1115
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1116
    val massage_multi_notes =
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1117
      maps (fn (thmN, thmss, attrs) =>
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1118
        if forall null thmss then
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1119
          []
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1120
        else
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1121
          map3 (fn fp_b_name => fn Type (T_name, _) => fn thms =>
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1122
            ((qualify true fp_b_name (Binding.name thmN), attrs T_name),
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1123
             [(thms, [])])) fp_b_names fpTs thmss);
67e4ed510dfb register coinductive type's coinduct rule
blanchet
parents: 51777
diff changeset
  1124
49536
898aea2e7a94 started work on generation of "rel" theorems
blanchet
parents: 49518
diff changeset
  1125
    val ctr_Tsss = map (map (map (Term.typ_subst_atomic (Xs ~~ fpTs)))) ctr_TsssXs;
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1126
    val ns = map length ctr_Tsss;
49212
ca59649170b0 more sugar on codatatypes
blanchet
parents: 49211
diff changeset
  1127
    val kss = map (fn n => 1 upto n) ns;
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1128
    val mss = map (map length) ctr_Tsss;
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1129
51903
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
  1130
    val ((fp_folds, fp_recs, fold_rec_args_types, unfold_corec_args_types), lthy) =
126f8d11f873 move function to library
blanchet
parents: 51902
diff changeset
  1131
      mk_un_fold_co_rec_prelims lfp fpTs As Cs ns mss fp_folds0 fp_recs0 lthy;
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
  1132
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1133
    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
  1134
            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
  1135
          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
  1136
        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
  1137
      let
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1138
        val fp_b_name = Binding.name_of fp_b;
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1139
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1140
        val dtorT = domain_type (fastype_of ctor);
49210
656fb50d33f0 define coiterators
blanchet
parents: 49209
diff changeset
  1141
        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
  1142
        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
  1143
        val case_Ts = map (fn Ts => Ts ---> C) ctr_Tss;
49119
1f605c36869c more work on FP sugar
blanchet
parents: 49112
diff changeset
  1144
49593
c958f282b382 get rid of shaky "Thm.generalize"
blanchet
parents: 49592
diff changeset
  1145
        val (((((w, fs), xss), yss), u'), names_lthy) =
49204
0b735fb2602e generate iter/rec goals
blanchet
parents: 49203
diff changeset
  1146
          no_defs_lthy
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1147
          |> yield_singleton (mk_Frees "w") dtorT
49176
6d29d2db5f88 construct high-level iterator RHS
blanchet
parents: 49169
diff changeset
  1148
          ||>> mk_Frees "f" case_Ts
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
  1149
          ||>> mk_Freess "x" ctr_Tss
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1150
          ||>> mk_Freess "y" (map (map B_ify) ctr_Tss)
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1151
          ||>> yield_singleton Variable.variant_fixes fp_b_name;
49370
be6e749fd003 fixed variable exporting problem
blanchet
parents: 49368
diff changeset
  1152
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1153
        val u = Free (u', fpT);
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1154
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1155
        val tuple_xs = map HOLogic.mk_tuple xss;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1156
        val tuple_ys = map HOLogic.mk_tuple yss;
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1157
49129
b5413cb7d860 define "case" constant
blanchet
parents: 49127
diff changeset
  1158
        val ctr_rhss =
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1159
          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
  1160
            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
  1161
49633
5b5450bc544c compatibility option to use "rep_datatype"
blanchet
parents: 49622
diff changeset
  1162
        val case_binding = qualify false fp_b_name (Binding.suffix_name ("_" ^ caseN) fp_b);
49129
b5413cb7d860 define "case" constant
blanchet
parents: 49127
diff changeset
  1163
49134
846264f80f16 optionally provide extra dead variables to the FP constructions
blanchet
parents: 49130
diff changeset
  1164
        val case_rhs =
49498
acc583e14167 tuned variable names
blanchet
parents: 49484
diff changeset
  1165
          fold_rev Term.lambda (fs @ [u])
49501
acc9635a644a renamed "fld"/"unf" to "ctor"/"dtor"
blanchet
parents: 49498
diff changeset
  1166
            (mk_sum_caseN_balanced (map2 mk_uncurried_fun fs xss) $ (dtor $ u));
49129
b5413cb7d860 define "case" constant
blanchet
parents: 49127
diff changeset
  1167
49201
blanchet
parents: 49200
diff changeset
  1168
        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
  1169
          |> 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
  1170
              Local_Theory.define ((b, mx), ((Thm.def_binding b, []), rhs)) #>> apsnd snd)
49336
blanchet
parents: 49330
diff changeset
  1171
            (case_binding :: ctr_bindings) (NoSyn :: ctr_mixfixes) (case_rhs :: ctr_rhss)
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1172
          ||> `Local_Theory.restore;
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1173
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1174
        val phi = Proof_Context.export_morphism lthy lthy';
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1175
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1176
        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
  1177
        val ctr_defs' =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1178
          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
  1179
        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
  1180
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1181
        val ctrs0 = map (Morphism.term phi) raw_ctrs;
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1182
        val casex0 = Morphism.term phi raw_case;
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1183
262ab1ac38b9 repaired constant types
blanchet
parents: 49202
diff changeset
  1184
        val ctrs = map (mk_ctr As) ctrs0;
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49119
diff changeset
  1185
51897
9a27c870ee21 refactoring
blanchet
parents: 51896
diff changeset
  1186
        fun wrap_ctrs lthy =
49123
263b0e330d8b more work on sugar + simplify Trueprop + eq idiom everywhere
blanchet
parents: 49121
diff changeset
  1187
          let
50170
8155e280f239 made SML/NJ happier
traytel
parents: 49693
diff changeset
  1188
            fun exhaust_tac {context = ctxt, prems = _} =
49135
de13b454fa31 fixed some type issues in sugar "exhaust_tac"
blanchet
parents: 49134
diff changeset
  1189
              let
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1190
                val ctor_iff_dtor_thm =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1191
                  let
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1192
                    val goal =
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1193
                      fold_rev Logic.all [w, u]
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1194
                        (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
  1195
                  in
51551
88d1d19fb74f tuned signature and module arrangement;
wenzelm
parents: 51380
diff changeset
  1196
                    Goal.prove_sorry lthy [] [] goal (fn {context = ctxt, ...} =>
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff changeset
  1197
                      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
  1198
                        (certify lthy ctor) (certify lthy dtor) ctor_dtor dtor_ctor)
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49583
diff