src/HOL/Codatatype/Tools/bnf_wrap.ML
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added no_dests option
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(*  Title:      HOL/Codatatype/Tools/bnf_wrap.ML
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    Author:     Jasmin Blanchette, TU Muenchen
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    Copyright   2012
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Wrapping existing datatypes.
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*)
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signature BNF_WRAP =
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sig
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  val no_binder: binding
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  val mk_half_pairss: 'a list -> ('a * 'a) list list
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  val mk_ctr: typ list -> term -> term
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  val wrap_datatype: ({prems: thm list, context: Proof.context} -> tactic) list list ->
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    ((bool * term list) * term) * (binding list * binding list list) -> local_theory ->
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    (term list list * thm list * thm list list) * local_theory
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  val parse_wrap_options: bool parser
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end;
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structure BNF_Wrap : BNF_WRAP =
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struct
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open BNF_Util
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open BNF_Wrap_Tactics
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val isN = "is_";
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val unN = "un_";
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fun mk_unN 1 1 suf = unN ^ suf
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  | mk_unN _ l suf = unN ^ suf ^ string_of_int l;
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val case_congN = "case_cong";
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val case_eqN = "case_eq";
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val casesN = "cases";
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val collapseN = "collapse";
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val disc_excludeN = "disc_exclude";
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val disc_exhaustN = "disc_exhaust";
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val discsN = "discs";
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val distinctN = "distinct";
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val exhaustN = "exhaust";
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val injectN = "inject";
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val nchotomyN = "nchotomy";
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val selsN = "sels";
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val splitN = "split";
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val split_asmN = "split_asm";
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val weak_case_cong_thmsN = "weak_case_cong";
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val no_binder = @{binding ""};
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val fallback_binder = @{binding _};
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fun pad_list x n xs = xs @ replicate (n - length xs) x;
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fun unflat_lookup eq ys zs = map (map (fn x => nth zs (find_index (curry eq x) ys)));
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fun mk_half_pairss' _ [] = []
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  | mk_half_pairss' indent (y :: ys) =
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    indent @ fold_rev (cons o single o pair y) ys (mk_half_pairss' ([] :: indent) ys);
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fun mk_half_pairss ys = mk_half_pairss' [[]] ys;
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(* TODO: provide a way to have a different default value, e.g. "tl Nil = Nil" *)
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fun mk_undef T Ts = Const (@{const_name undefined}, Ts ---> T);
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fun mk_ctr Ts ctr =
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  let val Type (_, Ts0) = body_type (fastype_of ctr) in
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    Term.subst_atomic_types (Ts0 ~~ Ts) ctr
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  end;
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fun eta_expand_case_arg xs f_xs = fold_rev Term.lambda xs f_xs;
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fun name_of_ctr c =
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  case head_of c of
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    Const (s, _) => s
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  | Free (s, _) => s
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  | _ => error "Cannot extract name of constructor";
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fun prepare_wrap_datatype prep_term (((no_dests, raw_ctrs), raw_case),
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    (raw_disc_binders, raw_sel_binderss)) no_defs_lthy =
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  let
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    (* TODO: sanity checks on arguments *)
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    (* TODO: attributes (simp, case_names, etc.) *)
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    (* TODO: case syntax *)
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    (* TODO: integration with function package ("size") *)
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    val ctrs0 = map (prep_term no_defs_lthy) raw_ctrs;
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    val case0 = prep_term no_defs_lthy raw_case;
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    val n = length ctrs0;
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    val ks = 1 upto n;
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    val _ = if n > 0 then () else error "No constructors specified";
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    val Type (fpT_name, As0) = body_type (fastype_of (hd ctrs0));
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    val b = Binding.qualified_name fpT_name;
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    val (As, B) =
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      no_defs_lthy
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      |> mk_TFrees (length As0)
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      ||> the_single o fst o mk_TFrees 1;
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    val fpT = Type (fpT_name, As);
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    val ctrs = map (mk_ctr As) ctrs0;
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    val ctr_Tss = map (binder_types o fastype_of) ctrs;
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    val ms = map length ctr_Tss;
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    val raw_disc_binders' = pad_list no_binder n raw_disc_binders;
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    fun can_really_rely_on_disc k =
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      not (Binding.eq_name (nth raw_disc_binders' (k - 1), no_binder)) orelse nth ms (k - 1) = 0;
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    fun can_rely_on_disc k =
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      can_really_rely_on_disc k orelse (k = 1 andalso not (can_really_rely_on_disc 2));
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    fun can_omit_disc_binder k m =
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      n = 1 orelse m = 0 orelse (n = 2 andalso can_rely_on_disc (3 - k));
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    val fallback_disc_binder = Binding.name o prefix isN o Long_Name.base_name o name_of_ctr;
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    val disc_binders =
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      raw_disc_binders'
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      |> map4 (fn k => fn m => fn ctr => fn disc =>
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        if Binding.eq_name (disc, no_binder) then
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          if can_omit_disc_binder k m then NONE else SOME (fallback_disc_binder ctr)
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        else if Binding.eq_name (disc, fallback_binder) then
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          SOME (fallback_disc_binder ctr)
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        else
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          SOME disc) ks ms ctrs0;
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    val no_discs = map is_none disc_binders;
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    val no_discs_at_all = forall I no_discs;
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    fun fallback_sel_binder m l = Binding.name o mk_unN m l o Long_Name.base_name o name_of_ctr;
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    val sel_binderss =
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      pad_list [] n raw_sel_binderss
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      |> map3 (fn ctr => fn m => map2 (fn l => fn sel =>
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        if Binding.eq_name (sel, no_binder) orelse Binding.eq_name (sel, fallback_binder) then
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          fallback_sel_binder m l ctr
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        else
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          sel) (1 upto m) o pad_list no_binder m) ctrs0 ms;
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    fun mk_case Ts T =
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      let
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        val (binders, body) = strip_type (fastype_of case0)
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        val Type (_, Ts0) = List.last binders
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      in Term.subst_atomic_types ((body, T) :: (Ts0 ~~ Ts)) case0 end;
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    val casex = mk_case As B;
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    val case_Ts = map (fn Ts => Ts ---> B) ctr_Tss;
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    val (((((((xss, yss), fs), gs), (v, v')), w), (p, p')), names_lthy) = no_defs_lthy |>
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      mk_Freess "x" ctr_Tss
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      ||>> mk_Freess "y" ctr_Tss
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      ||>> mk_Frees "f" case_Ts
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      ||>> mk_Frees "g" case_Ts
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      ||>> yield_singleton (apfst (op ~~) oo mk_Frees' "v") fpT
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      ||>> yield_singleton (mk_Frees "w") fpT
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      ||>> yield_singleton (apfst (op ~~) oo mk_Frees' "P") HOLogic.boolT;
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    val q = Free (fst p', B --> HOLogic.boolT);
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    fun ap_v t = t $ v;
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    fun mk_v_eq_v () = HOLogic.mk_eq (v, v);
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    val xctrs = map2 (curry Term.list_comb) ctrs xss;
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    val yctrs = map2 (curry Term.list_comb) ctrs yss;
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    val xfs = map2 (curry Term.list_comb) fs xss;
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    val xgs = map2 (curry Term.list_comb) gs xss;
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    val eta_fs = map2 eta_expand_case_arg xss xfs;
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    val eta_gs = map2 eta_expand_case_arg xss xgs;
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    val fcase = Term.list_comb (casex, eta_fs);
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    val gcase = Term.list_comb (casex, eta_gs);
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    val exist_xs_v_eq_ctrs =
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      map2 (fn xctr => fn xs => list_exists_free xs (HOLogic.mk_eq (v, xctr))) xctrs xss;
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    val unique_disc_no_def = TrueI; (*arbitrary marker*)
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    val alternate_disc_no_def = FalseE; (*arbitrary marker*)
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    fun alternate_disc_lhs get_disc k =
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      HOLogic.mk_not
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        (case nth disc_binders (k - 1) of
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          NONE => nth exist_xs_v_eq_ctrs (k - 1)
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        | SOME b => get_disc b (k - 1) $ v);
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    val (discs, selss, disc_defs, sel_defss, lthy') =
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      if no_dests then
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        ([], [], [], [], no_defs_lthy)
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      else
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        let
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          fun disc_free b = Free (Binding.name_of b, fpT --> HOLogic.boolT);
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          fun disc_spec b exist_xs_v_eq_ctr = mk_Trueprop_eq (disc_free b $ v, exist_xs_v_eq_ctr);
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          fun alternate_disc k = Term.lambda v (alternate_disc_lhs (K o disc_free) (3 - k));
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          fun mk_sel_case_args proto_sels T =
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            map2 (fn Ts => fn i =>
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              case AList.lookup (op =) proto_sels i of
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                NONE => mk_undef T Ts
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              | SOME (xs, x) => fold_rev Term.lambda xs x) ctr_Tss ks;
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          fun sel_spec b proto_sels =
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            let
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              val _ =
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                (case duplicates (op =) (map fst proto_sels) of
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                   k :: _ => error ("Duplicate selector name " ^ quote (Binding.name_of b) ^
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                     " for constructor " ^
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                     quote (Syntax.string_of_term no_defs_lthy (nth ctrs (k - 1))))
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                 | [] => ())
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              val T =
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                (case distinct (op =) (map (fastype_of o snd o snd) proto_sels) of
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                  [T] => T
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                | T :: T' :: _ => error ("Inconsistent range type for selector " ^
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                    quote (Binding.name_of b) ^ ": " ^ quote (Syntax.string_of_typ no_defs_lthy T) ^
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                    " vs. " ^ quote (Syntax.string_of_typ no_defs_lthy T')));
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            in
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              mk_Trueprop_eq (Free (Binding.name_of b, fpT --> T) $ v,
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                Term.list_comb (mk_case As T, mk_sel_case_args proto_sels T) $ v)
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            end;
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          val proto_selss = map3 (fn k => fn xs => map (fn x => (k, (xs, x)))) ks xss xss;
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          val sel_bundles = AList.group Binding.eq_name (flat sel_binderss ~~ flat proto_selss);
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          val sel_binders = map fst sel_bundles;
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          fun unflat_selss xs = unflat_lookup Binding.eq_name sel_binders xs sel_binderss;
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          val (((raw_discs, raw_disc_defs), (raw_sels, raw_sel_defs)), (lthy', lthy)) =
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            no_defs_lthy
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            |> apfst split_list o fold_map4 (fn k => fn m => fn exist_xs_v_eq_ctr =>
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              fn NONE =>
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                 if n = 1 then pair (Term.lambda v (mk_v_eq_v ()), unique_disc_no_def)
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                 else if m = 0 then pair (Term.lambda v exist_xs_v_eq_ctr, refl)
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                 else pair (alternate_disc k, alternate_disc_no_def)
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               | SOME b => Specification.definition (SOME (b, NONE, NoSyn),
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                   ((Thm.def_binding b, []), disc_spec b exist_xs_v_eq_ctr)) #>> apsnd snd)
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              ks ms exist_xs_v_eq_ctrs disc_binders
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            ||>> apfst split_list o fold_map (fn (b, proto_sels) =>
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              Specification.definition (SOME (b, NONE, NoSyn),
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                ((Thm.def_binding b, []), sel_spec b proto_sels)) #>> apsnd snd) sel_bundles
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            ||> `Local_Theory.restore;
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          (*transforms defined frees into consts (and more)*)
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          val phi = Proof_Context.export_morphism lthy lthy';
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          val disc_defs = map (Morphism.thm phi) raw_disc_defs;
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          val sel_defss = unflat_selss (map (Morphism.thm phi) raw_sel_defs);
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          val discs0 = map (Morphism.term phi) raw_discs;
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          val selss0 = unflat_selss (map (Morphism.term phi) raw_sels);
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          fun mk_disc_or_sel Ts c =
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            Term.subst_atomic_types (snd (Term.dest_Type (domain_type (fastype_of c))) ~~ Ts) c;
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          val discs = map (mk_disc_or_sel As) discs0;
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          val selss = map (map (mk_disc_or_sel As)) selss0;
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        in
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          (discs, selss, disc_defs, sel_defss, lthy')
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        end;
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    fun mk_imp_p Qs = Logic.list_implies (Qs, HOLogic.mk_Trueprop p);
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    val goal_exhaust =
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      let fun mk_prem xctr xs = fold_rev Logic.all xs (mk_imp_p [mk_Trueprop_eq (v, xctr)]) in
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        fold_rev Logic.all [p, v] (mk_imp_p (map2 mk_prem xctrs xss))
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      end;
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    val goal_injectss =
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      let
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        fun mk_goal _ _ [] [] = []
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          | mk_goal xctr yctr xs ys =
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            [fold_rev Logic.all (xs @ ys) (mk_Trueprop_eq (HOLogic.mk_eq (xctr, yctr),
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              Library.foldr1 HOLogic.mk_conj (map2 (curry HOLogic.mk_eq) xs ys)))];
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      in
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        map4 mk_goal xctrs yctrs xss yss
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      end;
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    val goal_half_distinctss =
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      let
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        fun mk_goal ((xs, xc), (xs', xc')) =
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          fold_rev Logic.all (xs @ xs')
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            (HOLogic.mk_Trueprop (HOLogic.mk_not (HOLogic.mk_eq (xc, xc'))));
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      in
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        map (map mk_goal) (mk_half_pairss (xss ~~ xctrs))
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      end;
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    val goal_cases =
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      map3 (fn xs => fn xctr => fn xf =>
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        fold_rev Logic.all (fs @ xs) (mk_Trueprop_eq (fcase $ xctr, xf))) xss xctrs xfs;
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    val goalss = [goal_exhaust] :: goal_injectss @ goal_half_distinctss @ [goal_cases];
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    fun after_qed thmss lthy =
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      let
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        val ([exhaust_thm], (inject_thmss, (half_distinct_thmss, [case_thms]))) =
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          (hd thmss, apsnd (chop (n * n)) (chop n (tl thmss)));
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        val exhaust_thm' =
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          let val Tinst = map (pairself (certifyT lthy)) (map Logic.varifyT_global As ~~ As) in
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            Drule.instantiate' [] [SOME (certify lthy v)]
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              (Thm.instantiate (Tinst, []) (Drule.zero_var_indexes exhaust_thm))
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          end;
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        val other_half_distinct_thmss = map (map (fn thm => thm RS not_sym)) half_distinct_thmss;
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        val (distinct_thmsss', distinct_thmsss) =
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          map2 (map2 append) (Library.chop_groups n half_distinct_thmss)
49052
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            (transpose (Library.chop_groups n other_half_distinct_thmss))
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          |> `transpose;
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        val distinct_thms = interleave (flat half_distinct_thmss) (flat other_half_distinct_thmss);
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   311
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        val nchotomy_thm =
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          let
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            val goal =
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   315
              HOLogic.mk_Trueprop (HOLogic.mk_all (fst v', snd v',
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                Library.foldr1 HOLogic.mk_disj exist_xs_v_eq_ctrs));
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          in
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            Skip_Proof.prove lthy [] [] goal (fn _ => mk_nchotomy_tac n exhaust_thm)
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          end;
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   321
        val (sel_thmss, disc_thms, discI_thms, disc_exclude_thms, disc_exhaust_thms, collapse_thms,
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             case_eq_thms) =
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          if no_dests then
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   324
            ([], [], [], [], [], [], [])
49116
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          else
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   326
            let
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              val sel_thmss =
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                map2 (fn case_thm => map (fn sel_def => case_thm RS (sel_def RS trans))) case_thms
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                  sel_defss;
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   330
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   331
              fun mk_unique_disc_def () =
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                let
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   333
                  val m = the_single ms;
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   334
                  val goal = mk_Trueprop_eq (mk_v_eq_v (), the_single exist_xs_v_eq_ctrs);
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                in
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   336
                  Skip_Proof.prove lthy [] [] goal (fn _ => mk_unique_disc_def_tac m exhaust_thm')
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   337
                  |> singleton (Proof_Context.export names_lthy lthy)
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                  |> Thm.close_derivation
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   339
                end;
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   340
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   341
              fun mk_alternate_disc_def k =
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                let
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   343
                  val goal =
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                    mk_Trueprop_eq (alternate_disc_lhs (K (nth discs)) (3 - k),
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                      nth exist_xs_v_eq_ctrs (k - 1));
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   346
                in
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   347
                  Skip_Proof.prove lthy [] [] goal (fn {context = ctxt, ...} =>
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   348
                    mk_alternate_disc_def_tac ctxt k (nth disc_defs (2 - k))
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   349
                      (nth distinct_thms (2 - k)) exhaust_thm')
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   350
                  |> singleton (Proof_Context.export names_lthy lthy)
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                  |> Thm.close_derivation
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   352
                end;
49028
487427a02bee generate "disc_distinct" theorems
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   353
49278
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   354
              val has_alternate_disc_def =
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   355
                exists (fn def => Thm.eq_thm_prop (def, alternate_disc_no_def)) disc_defs;
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   356
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   357
              val disc_defs' =
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   358
                map2 (fn k => fn def =>
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   359
                  if Thm.eq_thm_prop (def, unique_disc_no_def) then mk_unique_disc_def ()
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diff changeset
   360
                  else if Thm.eq_thm_prop (def, alternate_disc_no_def) then mk_alternate_disc_def k
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   361
                  else def) ks disc_defs;
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   362
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   363
              val discD_thms = map (fn def => def RS iffD1) disc_defs';
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   364
              val discI_thms =
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   365
                map2 (fn m => fn def => funpow m (fn thm => exI RS thm) (def RS iffD2)) ms
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diff changeset
   366
                  disc_defs';
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   367
              val not_discI_thms =
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   368
                map2 (fn m => fn def => funpow m (fn thm => allI RS thm)
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   369
                    (Local_Defs.unfold lthy @{thms not_ex} (def RS @{thm ssubst[of _ _ Not]})))
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   370
                  ms disc_defs';
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   371
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   372
              val (disc_thmss', disc_thmss) =
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   373
                let
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   374
                  fun mk_thm discI _ [] = refl RS discI
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   375
                    | mk_thm _ not_discI [distinct] = distinct RS not_discI;
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   376
                  fun mk_thms discI not_discI distinctss = map (mk_thm discI not_discI) distinctss;
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   377
                in
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   378
                  map3 mk_thms discI_thms not_discI_thms distinct_thmsss' |> `transpose
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   379
                end;
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diff changeset
   380
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   381
              val disc_thms = flat (map2 (fn true => K [] | false => I) no_discs disc_thmss);
49028
487427a02bee generate "disc_distinct" theorems
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parents: 49027
diff changeset
   382
49278
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   383
              val disc_exclude_thms =
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   384
                if has_alternate_disc_def then
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diff changeset
   385
                  []
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diff changeset
   386
                else
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diff changeset
   387
                  let
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diff changeset
   388
                    fun mk_goal [] = []
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diff changeset
   389
                      | mk_goal [((_, true), (_, true))] = []
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   390
                      | mk_goal [(((_, disc), _), ((_, disc'), _))] =
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diff changeset
   391
                        [Logic.all v (Logic.mk_implies (HOLogic.mk_Trueprop (betapply (disc, v)),
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diff changeset
   392
                           HOLogic.mk_Trueprop (HOLogic.mk_not (betapply (disc', v)))))];
718e4ad1517e added no_dests option
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diff changeset
   393
                    fun prove tac goal = Skip_Proof.prove lthy [] [] goal (K tac);
718e4ad1517e added no_dests option
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diff changeset
   394
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diff changeset
   395
                    val bundles = ms ~~ discD_thms ~~ discs ~~ no_discs;
718e4ad1517e added no_dests option
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diff changeset
   396
                    val half_pairss = mk_half_pairss bundles;
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diff changeset
   397
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diff changeset
   398
                    val goal_halvess = map mk_goal half_pairss;
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diff changeset
   399
                    val half_thmss =
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diff changeset
   400
                      map3 (fn [] => K (K []) | [goal] => fn [((((m, discD), _), _), _)] =>
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   401
                          fn disc_thm => [prove (mk_half_disc_exclude_tac m discD disc_thm) goal])
718e4ad1517e added no_dests option
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diff changeset
   402
                        goal_halvess half_pairss (flat disc_thmss');
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blanchet
parents: 49277
diff changeset
   403
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   404
                    val goal_other_halvess = map (mk_goal o map swap) half_pairss;
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   405
                    val other_half_thmss =
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   406
                      map2 (map2 (prove o mk_other_half_disc_exclude_tac)) half_thmss
718e4ad1517e added no_dests option
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diff changeset
   407
                        goal_other_halvess;
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parents: 49277
diff changeset
   408
                  in
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diff changeset
   409
                    interleave (flat half_thmss) (flat other_half_thmss)
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   410
                  end;
49028
487427a02bee generate "disc_distinct" theorems
blanchet
parents: 49027
diff changeset
   411
49278
718e4ad1517e added no_dests option
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diff changeset
   412
              val disc_exhaust_thms =
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parents: 49277
diff changeset
   413
                if has_alternate_disc_def orelse no_discs_at_all then
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parents: 49277
diff changeset
   414
                  []
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parents: 49277
diff changeset
   415
                else
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diff changeset
   416
                  let
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diff changeset
   417
                    fun mk_prem disc = mk_imp_p [HOLogic.mk_Trueprop (betapply (disc, v))];
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diff changeset
   418
                    val goal = fold_rev Logic.all [p, v] (mk_imp_p (map mk_prem discs));
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diff changeset
   419
                  in
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parents: 49277
diff changeset
   420
                    [Skip_Proof.prove lthy [] [] goal (fn _ =>
718e4ad1517e added no_dests option
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diff changeset
   421
                       mk_disc_exhaust_tac n exhaust_thm discI_thms)]
718e4ad1517e added no_dests option
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diff changeset
   422
                  end;
49025
7e89b0520e83 more work on sugar
blanchet
parents: 49023
diff changeset
   423
49278
718e4ad1517e added no_dests option
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diff changeset
   424
              val collapse_thms =
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   425
                if no_dests then
718e4ad1517e added no_dests option
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diff changeset
   426
                  []
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   427
                else
718e4ad1517e added no_dests option
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diff changeset
   428
                  let
718e4ad1517e added no_dests option
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diff changeset
   429
                    fun mk_goal ctr disc sels =
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   430
                      let
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diff changeset
   431
                        val prem = HOLogic.mk_Trueprop (betapply (disc, v));
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diff changeset
   432
                        val concl =
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   433
                          mk_Trueprop_eq ((null sels ? swap)
718e4ad1517e added no_dests option
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diff changeset
   434
                            (Term.list_comb (ctr, map ap_v sels), v));
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parents: 49277
diff changeset
   435
                      in
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   436
                        if prem aconv concl then NONE
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   437
                        else SOME (Logic.all v (Logic.mk_implies (prem, concl)))
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   438
                      end;
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   439
                    val goals = map3 mk_goal ctrs discs selss;
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   440
                  in
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   441
                    map4 (fn m => fn discD => fn sel_thms => Option.map (fn goal =>
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   442
                      Skip_Proof.prove lthy [] [] goal (fn {context = ctxt, ...} =>
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   443
                        mk_collapse_tac ctxt m discD sel_thms)
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diff changeset
   444
                      |> perhaps (try (fn thm => refl RS thm)))) ms discD_thms sel_thmss goals
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parents: 49277
diff changeset
   445
                    |> map_filter I
718e4ad1517e added no_dests option
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diff changeset
   446
                  end;
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   447
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   448
              val case_eq_thms =
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   449
                if no_dests then
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   450
                  []
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   451
                else
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   452
                  let
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   453
                    fun mk_body f sels = Term.list_comb (f, map ap_v sels);
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   454
                    val goal =
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   455
                      mk_Trueprop_eq (fcase $ v, mk_IfN B (map ap_v discs) (map2 mk_body fs selss));
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   456
                  in
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   457
                    [Skip_Proof.prove lthy [] [] goal (fn {context = ctxt, ...} =>
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   458
                      mk_case_eq_tac ctxt n exhaust_thm' case_thms disc_thmss' sel_thmss)]
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   459
                    |> Proof_Context.export names_lthy lthy
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   460
                  end;
49116
3d520eec2746 allow pseudo-definition of is_Cons in terms of is_Nil (and similarly for other two-constructor datatypes)
blanchet
parents: 49114
diff changeset
   461
            in
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   462
              (sel_thmss, disc_thms, discI_thms, disc_exclude_thms, disc_exhaust_thms,
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   463
               collapse_thms, case_eq_thms)
49116
3d520eec2746 allow pseudo-definition of is_Cons in terms of is_Nil (and similarly for other two-constructor datatypes)
blanchet
parents: 49114
diff changeset
   464
            end;
49025
7e89b0520e83 more work on sugar
blanchet
parents: 49023
diff changeset
   465
49033
23ef2d429931 generate "weak_case_cong" property
blanchet
parents: 49032
diff changeset
   466
        val (case_cong_thm, weak_case_cong_thm) =
49032
c2a7bedd57d8 generate "case_cong" property
blanchet
parents: 49031
diff changeset
   467
          let
c2a7bedd57d8 generate "case_cong" property
blanchet
parents: 49031
diff changeset
   468
            fun mk_prem xctr xs f g =
49045
7d9631754bba minor fixes (for compatibility with existing datatype package)
blanchet
parents: 49044
diff changeset
   469
              fold_rev Logic.all xs (Logic.mk_implies (mk_Trueprop_eq (w, xctr),
49032
c2a7bedd57d8 generate "case_cong" property
blanchet
parents: 49031
diff changeset
   470
                mk_Trueprop_eq (f, g)));
49033
23ef2d429931 generate "weak_case_cong" property
blanchet
parents: 49032
diff changeset
   471
23ef2d429931 generate "weak_case_cong" property
blanchet
parents: 49032
diff changeset
   472
            val v_eq_w = mk_Trueprop_eq (v, w);
49032
c2a7bedd57d8 generate "case_cong" property
blanchet
parents: 49031
diff changeset
   473
c2a7bedd57d8 generate "case_cong" property
blanchet
parents: 49031
diff changeset
   474
            val goal =
49033
23ef2d429931 generate "weak_case_cong" property
blanchet
parents: 49032
diff changeset
   475
              Logic.list_implies (v_eq_w :: map4 mk_prem xctrs xss fs gs,
49201
blanchet
parents: 49199
diff changeset
   476
                 mk_Trueprop_eq (fcase $ v, gcase $ w));
blanchet
parents: 49199
diff changeset
   477
            val goal_weak = Logic.mk_implies (v_eq_w, mk_Trueprop_eq (fcase $ v, fcase $ w));
49032
c2a7bedd57d8 generate "case_cong" property
blanchet
parents: 49031
diff changeset
   478
          in
49049
blanchet
parents: 49048
diff changeset
   479
            (Skip_Proof.prove lthy [] [] goal (fn _ => mk_case_cong_tac exhaust_thm' case_thms),
49033
23ef2d429931 generate "weak_case_cong" property
blanchet
parents: 49032
diff changeset
   480
             Skip_Proof.prove lthy [] [] goal_weak (K (etac arg_cong 1)))
23ef2d429931 generate "weak_case_cong" property
blanchet
parents: 49032
diff changeset
   481
            |> pairself (singleton (Proof_Context.export names_lthy lthy))
49032
c2a7bedd57d8 generate "case_cong" property
blanchet
parents: 49031
diff changeset
   482
          end;
49025
7e89b0520e83 more work on sugar
blanchet
parents: 49023
diff changeset
   483
49044
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   484
        val (split_thm, split_asm_thm) =
49043
bd3e33ee762d generate "split" property
blanchet
parents: 49034
diff changeset
   485
          let
49044
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   486
            fun mk_conjunct xctr xs f_xs =
49043
bd3e33ee762d generate "split" property
blanchet
parents: 49034
diff changeset
   487
              list_all_free xs (HOLogic.mk_imp (HOLogic.mk_eq (v, xctr), q $ f_xs));
49044
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   488
            fun mk_disjunct xctr xs f_xs =
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   489
              list_exists_free xs (HOLogic.mk_conj (HOLogic.mk_eq (v, xctr),
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   490
                HOLogic.mk_not (q $ f_xs)));
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   491
49201
blanchet
parents: 49199
diff changeset
   492
            val lhs = q $ (fcase $ v);
49044
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   493
49043
bd3e33ee762d generate "split" property
blanchet
parents: 49034
diff changeset
   494
            val goal =
49044
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   495
              mk_Trueprop_eq (lhs, Library.foldr1 HOLogic.mk_conj (map3 mk_conjunct xctrs xss xfs));
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   496
            val goal_asm =
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   497
              mk_Trueprop_eq (lhs, HOLogic.mk_not (Library.foldr1 HOLogic.mk_disj
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   498
                (map3 mk_disjunct xctrs xss xfs)));
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   499
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   500
            val split_thm =
49049
blanchet
parents: 49048
diff changeset
   501
              Skip_Proof.prove lthy [] [] goal
49052
3510b943dd5b optimized "mk_split_tac" + use "notes"
blanchet
parents: 49050
diff changeset
   502
                (fn _ => mk_split_tac exhaust_thm' case_thms inject_thmss distinct_thmsss)
49044
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   503
              |> singleton (Proof_Context.export names_lthy lthy)
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   504
            val split_asm_thm =
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   505
              Skip_Proof.prove lthy [] [] goal_asm (fn {context = ctxt, ...} =>
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   506
                mk_split_asm_tac ctxt split_thm)
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   507
              |> singleton (Proof_Context.export names_lthy lthy)
49043
bd3e33ee762d generate "split" property
blanchet
parents: 49034
diff changeset
   508
          in
49044
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   509
            (split_thm, split_asm_thm)
49043
bd3e33ee762d generate "split" property
blanchet
parents: 49034
diff changeset
   510
          end;
49025
7e89b0520e83 more work on sugar
blanchet
parents: 49023
diff changeset
   511
49052
3510b943dd5b optimized "mk_split_tac" + use "notes"
blanchet
parents: 49050
diff changeset
   512
        val notes =
3510b943dd5b optimized "mk_split_tac" + use "notes"
blanchet
parents: 49050
diff changeset
   513
          [(case_congN, [case_cong_thm]),
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   514
           (case_eqN, case_eq_thms),
49052
3510b943dd5b optimized "mk_split_tac" + use "notes"
blanchet
parents: 49050
diff changeset
   515
           (casesN, case_thms),
49118
b815fa776b91 renamed theorem
blanchet
parents: 49117
diff changeset
   516
           (collapseN, collapse_thms),
49116
3d520eec2746 allow pseudo-definition of is_Cons in terms of is_Nil (and similarly for other two-constructor datatypes)
blanchet
parents: 49114
diff changeset
   517
           (discsN, disc_thms),
49122
83515378d4d7 renamed "disc_exclus" theorem to "disc_exclude"
blanchet
parents: 49121
diff changeset
   518
           (disc_excludeN, disc_exclude_thms),
49116
3d520eec2746 allow pseudo-definition of is_Cons in terms of is_Nil (and similarly for other two-constructor datatypes)
blanchet
parents: 49114
diff changeset
   519
           (disc_exhaustN, disc_exhaust_thms),
49052
3510b943dd5b optimized "mk_split_tac" + use "notes"
blanchet
parents: 49050
diff changeset
   520
           (distinctN, distinct_thms),
3510b943dd5b optimized "mk_split_tac" + use "notes"
blanchet
parents: 49050
diff changeset
   521
           (exhaustN, [exhaust_thm]),
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49120
diff changeset
   522
           (injectN, flat inject_thmss),
49052
3510b943dd5b optimized "mk_split_tac" + use "notes"
blanchet
parents: 49050
diff changeset
   523
           (nchotomyN, [nchotomy_thm]),
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49120
diff changeset
   524
           (selsN, flat sel_thmss),
49052
3510b943dd5b optimized "mk_split_tac" + use "notes"
blanchet
parents: 49050
diff changeset
   525
           (splitN, [split_thm]),
3510b943dd5b optimized "mk_split_tac" + use "notes"
blanchet
parents: 49050
diff changeset
   526
           (split_asmN, [split_asm_thm]),
3510b943dd5b optimized "mk_split_tac" + use "notes"
blanchet
parents: 49050
diff changeset
   527
           (weak_case_cong_thmsN, [weak_case_cong_thm])]
49116
3d520eec2746 allow pseudo-definition of is_Cons in terms of is_Nil (and similarly for other two-constructor datatypes)
blanchet
parents: 49114
diff changeset
   528
          |> filter_out (null o snd)
49052
3510b943dd5b optimized "mk_split_tac" + use "notes"
blanchet
parents: 49050
diff changeset
   529
          |> map (fn (thmN, thms) =>
3510b943dd5b optimized "mk_split_tac" + use "notes"
blanchet
parents: 49050
diff changeset
   530
            ((Binding.qualify true (Binding.name_of b) (Binding.name thmN), []), [(thms, [])]));
49019
fc4decdba5ce more work on BNF sugar
blanchet
parents: 49017
diff changeset
   531
      in
49266
70ffce5b65a4 generate "sel_coiters" and friends
blanchet
parents: 49265
diff changeset
   532
        ((selss, discI_thms, sel_thmss), lthy |> Local_Theory.notes notes |> snd)
49019
fc4decdba5ce more work on BNF sugar
blanchet
parents: 49017
diff changeset
   533
      end;
49017
66fc7fc2d49b started work on datatype sugar
blanchet
parents:
diff changeset
   534
  in
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49120
diff changeset
   535
    (goalss, after_qed, lthy')
49017
66fc7fc2d49b started work on datatype sugar
blanchet
parents:
diff changeset
   536
  end;
66fc7fc2d49b started work on datatype sugar
blanchet
parents:
diff changeset
   537
49199
7c9a3c67c55d added high-level recursor, not yet curried
blanchet
parents: 49174
diff changeset
   538
fun wrap_datatype tacss = (fn (goalss, after_qed, lthy) =>
49111
9d511132394e export "wrap" function
blanchet
parents: 49075
diff changeset
   539
  map2 (map2 (Skip_Proof.prove lthy [] [])) goalss tacss
9d511132394e export "wrap" function
blanchet
parents: 49075
diff changeset
   540
  |> (fn thms => after_qed thms lthy)) oo
49199
7c9a3c67c55d added high-level recursor, not yet curried
blanchet
parents: 49174
diff changeset
   541
  prepare_wrap_datatype (K I) (* FIXME? (singleton o Type_Infer_Context.infer_types) *)
49111
9d511132394e export "wrap" function
blanchet
parents: 49075
diff changeset
   542
49277
blanchet
parents: 49266
diff changeset
   543
val parse_bindings = @{keyword "["} |-- Parse.list Parse.binding --| @{keyword "]"};
blanchet
parents: 49266
diff changeset
   544
val parse_bindingss = @{keyword "["} |-- Parse.list parse_bindings --| @{keyword "]"};
49017
66fc7fc2d49b started work on datatype sugar
blanchet
parents:
diff changeset
   545
49199
7c9a3c67c55d added high-level recursor, not yet curried
blanchet
parents: 49174
diff changeset
   546
val wrap_datatype_cmd = (fn (goalss, after_qed, lthy) =>
49266
70ffce5b65a4 generate "sel_coiters" and friends
blanchet
parents: 49265
diff changeset
   547
  Proof.theorem NONE (snd oo after_qed) (map (map (rpair [])) goalss) lthy) oo
49199
7c9a3c67c55d added high-level recursor, not yet curried
blanchet
parents: 49174
diff changeset
   548
  prepare_wrap_datatype Syntax.read_term;
49017
66fc7fc2d49b started work on datatype sugar
blanchet
parents:
diff changeset
   549
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   550
val parse_wrap_options =
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   551
  Scan.optional (@{keyword "("} |-- (@{keyword "no_dests"} >> K true) --| @{keyword ")"}) false;
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   552
49017
66fc7fc2d49b started work on datatype sugar
blanchet
parents:
diff changeset
   553
val _ =
49074
d8af889dcbe3 renamed three BNF/(co)datatype-related commands
blanchet
parents: 49057
diff changeset
   554
  Outer_Syntax.local_theory_to_proof @{command_spec "wrap_data"} "wraps an existing datatype"
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   555
    ((parse_wrap_options -- (@{keyword "["} |-- Parse.list Parse.term --| @{keyword "]"}) --
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   556
      Parse.term -- Scan.optional (parse_bindings -- Scan.optional parse_bindingss []) ([], []))
49199
7c9a3c67c55d added high-level recursor, not yet curried
blanchet
parents: 49174
diff changeset
   557
     >> wrap_datatype_cmd);
49017
66fc7fc2d49b started work on datatype sugar
blanchet
parents:
diff changeset
   558
66fc7fc2d49b started work on datatype sugar
blanchet
parents:
diff changeset
   559
end;