src/HOL/BNF/Tools/bnf_wrap.ML
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(*  Title:      HOL/BNF/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 mk_half_pairss: 'a list * 'a list -> ('a * 'a) list list
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  val join_halves: int -> 'a list list -> 'a list list -> 'a list * 'a list list list
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  val mk_ctr: typ list -> term -> term
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  val mk_disc_or_sel: typ list -> term -> term
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  val name_of_ctr: term -> string
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  val wrap_datatype: ({prems: thm list, context: Proof.context} -> tactic) list list ->
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    ((bool * term list) * term) *
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      (binding list * (binding list list * (binding * term) list list)) -> local_theory ->
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    (term list * term list list * thm * thm list * thm list * thm list * thm list list * thm list *
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     thm list list) * local_theory
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  val parse_wrap_options: bool parser
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  val parse_bound_term: (binding * string) 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 caseN = "case";
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val case_congN = "case_cong";
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val case_convN = "case_conv";
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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 expandN = "expand";
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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 std_binding = @{binding _};
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val induct_simp_attrs = @{attributes [induct_simp]};
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val cong_attrs = @{attributes [cong]};
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val iff_attrs = @{attributes [iff]};
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val safe_elim_attrs = @{attributes [elim!]};
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val simp_attrs = @{attributes [simp]};
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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 (x :: xs, _ :: ys) =
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    indent @ fold_rev (cons o single o pair x) ys (mk_half_pairss' ([] :: indent) (xs, ys));
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fun mk_half_pairss p = mk_half_pairss' [[]] p;
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fun join_halves n half_xss other_half_xss =
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  let
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    val xsss =
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      map2 (map2 append) (Library.chop_groups n half_xss)
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        (transpose (Library.chop_groups n other_half_xss))
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    val xs = interleave (flat half_xss) (flat other_half_xss);
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  in (xs, xsss) end;
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fun mk_undefined T = Const (@{const_name undefined}, T);
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fun mk_ctr Ts t =
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  let val Type (_, Ts0) = body_type (fastype_of t) in
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    Term.subst_atomic_types (Ts0 ~~ Ts) t
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  end;
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fun mk_disc_or_sel Ts t =
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  Term.subst_atomic_types (snd (Term.dest_Type (domain_type (fastype_of t))) ~~ Ts) t;
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fun mk_case Ts T t =
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  let val (Type (_, Ts0), body) = strip_type (fastype_of t) |>> List.last in
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    Term.subst_atomic_types ((body, T) :: (Ts0 ~~ Ts)) t
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  end;
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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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val base_name_of_ctr = Long_Name.base_name o name_of_ctr;
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fun eta_expand_arg xs f_xs = fold_rev Term.lambda xs f_xs;
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fun prepare_wrap_datatype prep_term (((no_dests, raw_ctrs), raw_case),
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    (raw_disc_bindings, (raw_sel_bindingss, raw_sel_defaultss))) no_defs_lthy =
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  let
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    (* TODO: sanity checks on arguments *)
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    (* TODO: case syntax *)
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    val n = length raw_ctrs;
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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 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 sel_defaultss =
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      pad_list [] n (map (map (apsnd (prep_term no_defs_lthy))) raw_sel_defaultss);
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    val Type (dataT_name, As0) = body_type (fastype_of (hd ctrs0));
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    val data_b = Binding.qualified_name dataT_name;
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    val data_b_name = Binding.name_of data_b;
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    val (As, B) =
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      no_defs_lthy
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      |> mk_TFrees' (map Type.sort_of_atyp As0)
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      ||> the_single o fst o mk_TFrees 1;
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    val dataT = Type (dataT_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_bindings' = pad_list Binding.empty n raw_disc_bindings;
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    fun can_really_rely_on_disc k =
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      not (Binding.eq_name (nth raw_disc_bindings' (k - 1), Binding.empty)) orelse
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      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_binding 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 std_disc_binding =
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      Binding.qualify false data_b_name o Binding.name o prefix isN o base_name_of_ctr;
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    val disc_bindings =
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      raw_disc_bindings'
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      |> map4 (fn k => fn m => fn ctr => fn disc =>
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        Option.map (Binding.qualify false data_b_name)
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          (if Binding.eq_name (disc, Binding.empty) then
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             if can_omit_disc_binding k m then NONE else SOME (std_disc_binding ctr)
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           else if Binding.eq_name (disc, std_binding) then
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             SOME (std_disc_binding ctr)
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           else
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             SOME disc)) ks ms ctrs0;
49056
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    val no_discs = map is_none disc_bindings;
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    val no_discs_at_all = forall I no_discs;
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    fun std_sel_binding m l = Binding.name o mk_unN m l o base_name_of_ctr;
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    val sel_bindingss =
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      pad_list [] n raw_sel_bindingss
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      |> map3 (fn ctr => fn m => map2 (fn l => fn sel =>
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        Binding.qualify false data_b_name
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          (if Binding.eq_name (sel, Binding.empty) orelse Binding.eq_name (sel, std_binding) then
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            std_sel_binding m l ctr
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          else
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            sel)) (1 upto m) o pad_list Binding.empty m) ctrs0 ms;
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    val casex = mk_case As B case0;
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    val case_Ts = map (fn Ts => Ts ---> B) ctr_Tss;
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    val (((((((xss, xss'), yss), fs), gs), [u', v']), (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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      ||>> (apfst (map (rpair dataT)) oo Variable.variant_fixes) [data_b_name, data_b_name ^ "'"]
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      ||>> yield_singleton (apfst (op ~~) oo mk_Frees' "P") HOLogic.boolT;
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    val u = Free u';
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    val v = Free v';
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    val q = Free (fst p', mk_pred1T B);
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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_arg xss xfs;
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    val eta_gs = map2 eta_expand_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 ufcase = fcase $ u;
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    val vfcase = fcase $ v;
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    val vgcase = gcase $ v;
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    fun mk_uu_eq () = HOLogic.mk_eq (u, u);
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    val uv_eq = mk_Trueprop_eq (u, v);
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    val exist_xs_u_eq_ctrs =
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      map2 (fn xctr => fn xs => list_exists_free xs (HOLogic.mk_eq (u, 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_udisc k =
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      HOLogic.mk_not
49336
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        (case nth disc_bindings (k - 1) of
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          NONE => nth exist_xs_u_eq_ctrs (k - 1)
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        | SOME b => get_udisc b (k - 1));
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    val (all_sels_distinct, discs, selss, udiscs, uselss, vdiscs, vselss, disc_defs, sel_defs,
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         sel_defss, lthy') =
49278
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      if no_dests then
49486
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        (true, [], [], [], [], [], [], [], [], [], no_defs_lthy)
49278
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      else
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        let
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          fun disc_free b = Free (Binding.name_of b, mk_pred1T dataT);
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          fun disc_spec b exist_xs_u_eq_ctr = mk_Trueprop_eq (disc_free b $ u, exist_xs_u_eq_ctr);
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   231
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          fun alternate_disc k =
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            Term.lambda u (alternate_disc_lhs (K o rapp u o disc_free) (3 - k));
49278
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          fun mk_default T t =
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            let
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              val Ts0 = map TFree (Term.add_tfreesT (fastype_of t) []);
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              val Ts = map TFree (Term.add_tfreesT T []);
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            in Term.subst_atomic_types (Ts0 ~~ Ts) t end;
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49280
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          fun mk_sel_case_args b proto_sels T =
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            map2 (fn Ts => fn k =>
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              (case AList.lookup (op =) proto_sels k of
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                NONE =>
49364
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                (case AList.lookup Binding.eq_name (rev (nth sel_defaultss (k - 1))) b of
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                  NONE => fold_rev (Term.lambda o curry Free Name.uu) Ts (mk_undefined T)
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                | SOME t => mk_default (Ts ---> T) t)
49280
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              | SOME (xs, x) => fold_rev Term.lambda xs x)) ctr_Tss ks;
49258
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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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   264
            in
49486
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              mk_Trueprop_eq (Free (Binding.name_of b, dataT --> T) $ u,
49536
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                Term.list_comb (mk_case As T case0, mk_sel_case_args b proto_sels T) $ u)
49278
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            end;
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          val sel_bindings = flat sel_bindingss;
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          val uniq_sel_bindings = distinct Binding.eq_name sel_bindings;
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          val all_sels_distinct = (length uniq_sel_bindings = length sel_bindings);
49285
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          val sel_binding_index =
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            if all_sels_distinct then 1 upto length sel_bindings
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            else map (fn b => find_index (curry Binding.eq_name b) uniq_sel_bindings) sel_bindings;
49285
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          val proto_sels = flat (map3 (fn k => fn xs => map (fn x => (k, (xs, x)))) ks xss xss);
49300
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          val sel_infos =
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            AList.group (op =) (sel_binding_index ~~ proto_sels)
49285
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            |> sort (int_ord o pairself fst)
49336
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   281
            |> map snd |> curry (op ~~) uniq_sel_bindings;
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          val sel_bindings = map fst sel_infos;
49258
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   283
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          fun unflat_selss xs = unflat_lookup Binding.eq_name sel_bindings xs sel_bindingss;
49258
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   285
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   286
          val (((raw_discs, raw_disc_defs), (raw_sels, raw_sel_defs)), (lthy', lthy)) =
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            no_defs_lthy
49486
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            |> apfst split_list o fold_map4 (fn k => fn m => fn exist_xs_u_eq_ctr =>
49278
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              fn NONE =>
49591
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                 if n = 1 then pair (Term.lambda u (mk_uu_eq ()), unique_disc_no_def)
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   291
                 else if m = 0 then pair (Term.lambda u exist_xs_u_eq_ctr, refl)
49278
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   292
                 else pair (alternate_disc k, alternate_disc_no_def)
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               | SOME b => Specification.definition (SOME (b, NONE, NoSyn),
49486
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                   ((Thm.def_binding b, []), disc_spec b exist_xs_u_eq_ctr)) #>> apsnd snd)
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              ks ms exist_xs_u_eq_ctrs disc_bindings
49278
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   296
            ||>> apfst split_list o fold_map (fn (b, proto_sels) =>
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              Specification.definition (SOME (b, NONE, NoSyn),
49300
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                ((Thm.def_binding b, []), sel_spec b proto_sels)) #>> apsnd snd) sel_infos
49278
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            ||> `Local_Theory.restore;
49022
005ce926a932 define selectors and discriminators
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   300
49278
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diff changeset
   301
          val phi = Proof_Context.export_morphism lthy lthy';
49025
7e89b0520e83 more work on sugar
blanchet
parents: 49023
diff changeset
   302
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   303
          val disc_defs = map (Morphism.thm phi) raw_disc_defs;
49281
3d87f4fd0d50 generate all sel theorems
blanchet
parents: 49280
diff changeset
   304
          val sel_defs = map (Morphism.thm phi) raw_sel_defs;
3d87f4fd0d50 generate all sel theorems
blanchet
parents: 49280
diff changeset
   305
          val sel_defss = unflat_selss sel_defs;
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   306
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   307
          val discs0 = map (Morphism.term phi) raw_discs;
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   308
          val selss0 = unflat_selss (map (Morphism.term phi) raw_sels);
49028
487427a02bee generate "disc_distinct" theorems
blanchet
parents: 49027
diff changeset
   309
49278
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   310
          val discs = map (mk_disc_or_sel As) discs0;
718e4ad1517e added no_dests option
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parents: 49277
diff changeset
   311
          val selss = map (map (mk_disc_or_sel As)) selss0;
49486
64cc57c0d0fe generate "expand" property
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parents: 49484
diff changeset
   312
49500
blanchet
parents: 49498
diff changeset
   313
          val udiscs = map (rapp u) discs;
blanchet
parents: 49498
diff changeset
   314
          val uselss = map (map (rapp u)) selss;
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   315
49500
blanchet
parents: 49498
diff changeset
   316
          val vdiscs = map (rapp v) discs;
blanchet
parents: 49498
diff changeset
   317
          val vselss = map (map (rapp v)) selss;
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   318
        in
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   319
          (all_sels_distinct, discs, selss, udiscs, uselss, vdiscs, vselss, disc_defs, sel_defs,
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   320
           sel_defss, lthy')
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   321
        end;
49025
7e89b0520e83 more work on sugar
blanchet
parents: 49023
diff changeset
   322
49032
c2a7bedd57d8 generate "case_cong" property
blanchet
parents: 49031
diff changeset
   323
    fun mk_imp_p Qs = Logic.list_implies (Qs, HOLogic.mk_Trueprop p);
49029
f0ecfa9575a9 generate "disc_exhaust" property
blanchet
parents: 49028
diff changeset
   324
49458
blanchet
parents: 49438
diff changeset
   325
    val exhaust_goal =
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   326
      let fun mk_prem xctr xs = fold_rev Logic.all xs (mk_imp_p [mk_Trueprop_eq (u, xctr)]) in
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   327
        fold_rev Logic.all [p, u] (mk_imp_p (map2 mk_prem xctrs xss))
49020
f379cf5d71bd more work on BNF sugar -- up to derivation of nchotomy
blanchet
parents: 49019
diff changeset
   328
      end;
49019
fc4decdba5ce more work on BNF sugar
blanchet
parents: 49017
diff changeset
   329
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49478
diff changeset
   330
    val inject_goalss =
49017
66fc7fc2d49b started work on datatype sugar
blanchet
parents:
diff changeset
   331
      let
49034
b77e1910af8a make parallel list indexing possible for inject theorems
blanchet
parents: 49033
diff changeset
   332
        fun mk_goal _ _ [] [] = []
49025
7e89b0520e83 more work on sugar
blanchet
parents: 49023
diff changeset
   333
          | mk_goal xctr yctr xs ys =
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49120
diff changeset
   334
            [fold_rev Logic.all (xs @ ys) (mk_Trueprop_eq (HOLogic.mk_eq (xctr, yctr),
9e0acaa470ab more work on FP sugar
blanchet
parents: 49120
diff changeset
   335
              Library.foldr1 HOLogic.mk_conj (map2 (curry HOLogic.mk_eq) xs ys)))];
49017
66fc7fc2d49b started work on datatype sugar
blanchet
parents:
diff changeset
   336
      in
49034
b77e1910af8a make parallel list indexing possible for inject theorems
blanchet
parents: 49033
diff changeset
   337
        map4 mk_goal xctrs yctrs xss yss
49017
66fc7fc2d49b started work on datatype sugar
blanchet
parents:
diff changeset
   338
      end;
66fc7fc2d49b started work on datatype sugar
blanchet
parents:
diff changeset
   339
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49478
diff changeset
   340
    val half_distinct_goalss =
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49120
diff changeset
   341
      let
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49201
diff changeset
   342
        fun mk_goal ((xs, xc), (xs', xc')) =
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49120
diff changeset
   343
          fold_rev Logic.all (xs @ xs')
49203
262ab1ac38b9 repaired constant types
blanchet
parents: 49201
diff changeset
   344
            (HOLogic.mk_Trueprop (HOLogic.mk_not (HOLogic.mk_eq (xc, xc'))));
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49120
diff changeset
   345
      in
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49536
diff changeset
   346
        map (map mk_goal) (mk_half_pairss (`I (xss ~~ xctrs)))
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49120
diff changeset
   347
      end;
49019
fc4decdba5ce more work on BNF sugar
blanchet
parents: 49017
diff changeset
   348
49458
blanchet
parents: 49438
diff changeset
   349
    val cases_goal =
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49120
diff changeset
   350
      map3 (fn xs => fn xctr => fn xf =>
49201
blanchet
parents: 49199
diff changeset
   351
        fold_rev Logic.all (fs @ xs) (mk_Trueprop_eq (fcase $ xctr, xf))) xss xctrs xfs;
49025
7e89b0520e83 more work on sugar
blanchet
parents: 49023
diff changeset
   352
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49478
diff changeset
   353
    val goalss = [exhaust_goal] :: inject_goalss @ half_distinct_goalss @ [cases_goal];
49019
fc4decdba5ce more work on BNF sugar
blanchet
parents: 49017
diff changeset
   354
fc4decdba5ce more work on BNF sugar
blanchet
parents: 49017
diff changeset
   355
    fun after_qed thmss lthy =
fc4decdba5ce more work on BNF sugar
blanchet
parents: 49017
diff changeset
   356
      let
49048
4e0f0f98be02 rationalized data structure for distinctness theorems
blanchet
parents: 49046
diff changeset
   357
        val ([exhaust_thm], (inject_thmss, (half_distinct_thmss, [case_thms]))) =
4e0f0f98be02 rationalized data structure for distinctness theorems
blanchet
parents: 49046
diff changeset
   358
          (hd thmss, apsnd (chop (n * n)) (chop n (tl thmss)));
49019
fc4decdba5ce more work on BNF sugar
blanchet
parents: 49017
diff changeset
   359
49438
5bc80d96241e group "simps" together
blanchet
parents: 49437
diff changeset
   360
        val inject_thms = flat inject_thmss;
5bc80d96241e group "simps" together
blanchet
parents: 49437
diff changeset
   361
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   362
        val Tinst = map (pairself (certifyT lthy)) (map Logic.varifyT_global As ~~ As);
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   363
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   364
        fun inst_thm t thm =
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   365
          Drule.instantiate' [] [SOME (certify lthy t)]
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   366
            (Thm.instantiate (Tinst, []) (Drule.zero_var_indexes thm));
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   367
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   368
        val uexhaust_thm = inst_thm u exhaust_thm;
49032
c2a7bedd57d8 generate "case_cong" property
blanchet
parents: 49031
diff changeset
   369
49300
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
   370
        val exhaust_cases = map base_name_of_ctr ctrs;
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
   371
49048
4e0f0f98be02 rationalized data structure for distinctness theorems
blanchet
parents: 49046
diff changeset
   372
        val other_half_distinct_thmss = map (map (fn thm => thm RS not_sym)) half_distinct_thmss;
4e0f0f98be02 rationalized data structure for distinctness theorems
blanchet
parents: 49046
diff changeset
   373
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   374
        val (distinct_thms, (distinct_thmsss', distinct_thmsss)) =
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49536
diff changeset
   375
          join_halves n half_distinct_thmss other_half_distinct_thmss ||> `transpose;
49019
fc4decdba5ce more work on BNF sugar
blanchet
parents: 49017
diff changeset
   376
49020
f379cf5d71bd more work on BNF sugar -- up to derivation of nchotomy
blanchet
parents: 49019
diff changeset
   377
        val nchotomy_thm =
f379cf5d71bd more work on BNF sugar -- up to derivation of nchotomy
blanchet
parents: 49019
diff changeset
   378
          let
f379cf5d71bd more work on BNF sugar -- up to derivation of nchotomy
blanchet
parents: 49019
diff changeset
   379
            val goal =
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   380
              HOLogic.mk_Trueprop (HOLogic.mk_all (fst u', snd u',
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   381
                Library.foldr1 HOLogic.mk_disj exist_xs_u_eq_ctrs));
49020
f379cf5d71bd more work on BNF sugar -- up to derivation of nchotomy
blanchet
parents: 49019
diff changeset
   382
          in
f379cf5d71bd more work on BNF sugar -- up to derivation of nchotomy
blanchet
parents: 49019
diff changeset
   383
            Skip_Proof.prove lthy [] [] goal (fn _ => mk_nchotomy_tac n exhaust_thm)
f379cf5d71bd more work on BNF sugar -- up to derivation of nchotomy
blanchet
parents: 49019
diff changeset
   384
          end;
f379cf5d71bd more work on BNF sugar -- up to derivation of nchotomy
blanchet
parents: 49019
diff changeset
   385
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49478
diff changeset
   386
        val (all_sel_thms, sel_thmss, disc_thmss, disc_thms, discI_thms, disc_exclude_thms,
49594
55e798614c45 tweaked theorem names (in particular, dropped s's)
blanchet
parents: 49591
diff changeset
   387
             disc_exhaust_thms, collapse_thms, expand_thms, case_conv_thms) =
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   388
          if no_dests then
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   389
            ([], [], [], [], [], [], [], [], [], [])
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
   390
          else
3d520eec2746 allow pseudo-definition of is_Cons in terms of is_Nil (and similarly for other two-constructor datatypes)
blanchet
parents: 49114
diff changeset
   391
            let
49364
838b5e8ede73 allow default values to refer to selector arguments -- this is useful, e.g. for tllist: ttl (TNil x) = TNil x (example by Andreas Lochbihler)
blanchet
parents: 49336
diff changeset
   392
              fun make_sel_thm xs' case_thm sel_def =
838b5e8ede73 allow default values to refer to selector arguments -- this is useful, e.g. for tllist: ttl (TNil x) = TNil x (example by Andreas Lochbihler)
blanchet
parents: 49336
diff changeset
   393
                zero_var_indexes (Drule.gen_all (Drule.rename_bvars' (map (SOME o fst) xs')
838b5e8ede73 allow default values to refer to selector arguments -- this is useful, e.g. for tllist: ttl (TNil x) = TNil x (example by Andreas Lochbihler)
blanchet
parents: 49336
diff changeset
   394
                    (Drule.forall_intr_vars (case_thm RS (sel_def RS trans)))));
49281
3d87f4fd0d50 generate all sel theorems
blanchet
parents: 49280
diff changeset
   395
3d87f4fd0d50 generate all sel theorems
blanchet
parents: 49280
diff changeset
   396
              fun has_undefined_rhs thm =
3d87f4fd0d50 generate all sel theorems
blanchet
parents: 49280
diff changeset
   397
                (case snd (HOLogic.dest_eq (HOLogic.dest_Trueprop (prop_of thm))) of
3d87f4fd0d50 generate all sel theorems
blanchet
parents: 49280
diff changeset
   398
                  Const (@{const_name undefined}, _) => true
3d87f4fd0d50 generate all sel theorems
blanchet
parents: 49280
diff changeset
   399
                | _ => false);
3d87f4fd0d50 generate all sel theorems
blanchet
parents: 49280
diff changeset
   400
49364
838b5e8ede73 allow default values to refer to selector arguments -- this is useful, e.g. for tllist: ttl (TNil x) = TNil x (example by Andreas Lochbihler)
blanchet
parents: 49336
diff changeset
   401
              val sel_thmss = map3 (map oo make_sel_thm) xss' case_thms sel_defss;
49281
3d87f4fd0d50 generate all sel theorems
blanchet
parents: 49280
diff changeset
   402
3d87f4fd0d50 generate all sel theorems
blanchet
parents: 49280
diff changeset
   403
              val all_sel_thms =
49285
036b833b99aa removed wrong "transpose" and ensure "sel" theorems are put in the right order (grouped per selector, in the order in which the selectors appear)
blanchet
parents: 49281
diff changeset
   404
                (if all_sels_distinct andalso forall null sel_defaultss then
036b833b99aa removed wrong "transpose" and ensure "sel" theorems are put in the right order (grouped per selector, in the order in which the selectors appear)
blanchet
parents: 49281
diff changeset
   405
                   flat sel_thmss
036b833b99aa removed wrong "transpose" and ensure "sel" theorems are put in the right order (grouped per selector, in the order in which the selectors appear)
blanchet
parents: 49281
diff changeset
   406
                 else
49364
838b5e8ede73 allow default values to refer to selector arguments -- this is useful, e.g. for tllist: ttl (TNil x) = TNil x (example by Andreas Lochbihler)
blanchet
parents: 49336
diff changeset
   407
                   map_product (fn s => fn (xs', c) => make_sel_thm xs' c s) sel_defs
838b5e8ede73 allow default values to refer to selector arguments -- this is useful, e.g. for tllist: ttl (TNil x) = TNil x (example by Andreas Lochbihler)
blanchet
parents: 49336
diff changeset
   408
                     (xss' ~~ case_thms))
49285
036b833b99aa removed wrong "transpose" and ensure "sel" theorems are put in the right order (grouped per selector, in the order in which the selectors appear)
blanchet
parents: 49281
diff changeset
   409
                |> filter_out has_undefined_rhs;
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   410
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   411
              fun mk_unique_disc_def () =
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   412
                let
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   413
                  val m = the_single ms;
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49586
diff changeset
   414
                  val goal = mk_Trueprop_eq (mk_uu_eq (), the_single exist_xs_u_eq_ctrs);
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   415
                in
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   416
                  Skip_Proof.prove lthy [] [] goal (fn _ => mk_unique_disc_def_tac m uexhaust_thm)
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   417
                  |> singleton (Proof_Context.export names_lthy lthy)
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   418
                  |> Thm.close_derivation
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   419
                end;
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   420
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   421
              fun mk_alternate_disc_def k =
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   422
                let
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   423
                  val goal =
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   424
                    mk_Trueprop_eq (alternate_disc_lhs (K (nth udiscs)) (3 - k),
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   425
                      nth exist_xs_u_eq_ctrs (k - 1));
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   426
                in
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   427
                  Skip_Proof.prove lthy [] [] goal (fn {context = ctxt, ...} =>
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   428
                    mk_alternate_disc_def_tac ctxt k (nth disc_defs (2 - k))
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   429
                      (nth distinct_thms (2 - k)) uexhaust_thm)
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   430
                  |> singleton (Proof_Context.export names_lthy lthy)
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   431
                  |> Thm.close_derivation
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   432
                end;
49028
487427a02bee generate "disc_distinct" theorems
blanchet
parents: 49027
diff changeset
   433
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   434
              val has_alternate_disc_def =
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   435
                exists (fn def => Thm.eq_thm_prop (def, alternate_disc_no_def)) disc_defs;
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   436
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   437
              val disc_defs' =
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   438
                map2 (fn k => fn def =>
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   439
                  if Thm.eq_thm_prop (def, unique_disc_no_def) then mk_unique_disc_def ()
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   440
                  else if Thm.eq_thm_prop (def, alternate_disc_no_def) then mk_alternate_disc_def k
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   441
                  else def) ks disc_defs;
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   442
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   443
              val discD_thms = map (fn def => def RS iffD1) disc_defs';
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   444
              val discI_thms =
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   445
                map2 (fn m => fn def => funpow m (fn thm => exI RS thm) (def RS iffD2)) ms
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   446
                  disc_defs';
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   447
              val not_discI_thms =
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   448
                map2 (fn m => fn def => funpow m (fn thm => allI RS thm)
49504
df9b897fb254 renamed "iter"/"coiter" to "fold"/"unfold" (cf. Wadler)
blanchet
parents: 49500
diff changeset
   449
                    (unfold_thms lthy @{thms not_ex} (def RS @{thm ssubst[of _ _ Not]})))
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   450
                  ms disc_defs';
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   451
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   452
              val (disc_thmss', disc_thmss) =
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   453
                let
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   454
                  fun mk_thm discI _ [] = refl RS discI
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   455
                    | mk_thm _ not_discI [distinct] = distinct RS not_discI;
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   456
                  fun mk_thms discI not_discI distinctss = map (mk_thm discI not_discI) distinctss;
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   457
                in
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   458
                  map3 mk_thms discI_thms not_discI_thms distinct_thmsss' |> `transpose
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   459
                end;
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   460
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   461
              val disc_thms = flat (map2 (fn true => K [] | false => I) no_discs disc_thmss);
49028
487427a02bee generate "disc_distinct" theorems
blanchet
parents: 49027
diff changeset
   462
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   463
              val (disc_exclude_thms, (disc_exclude_thmsss', disc_exclude_thmsss)) =
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   464
                let
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   465
                  fun mk_goal [] = []
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   466
                    | mk_goal [((_, udisc), (_, udisc'))] =
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   467
                      [Logic.all u (Logic.mk_implies (HOLogic.mk_Trueprop udisc,
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   468
                         HOLogic.mk_Trueprop (HOLogic.mk_not udisc')))];
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   469
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   470
                  fun prove tac goal = Skip_Proof.prove lthy [] [] goal (K tac);
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   471
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49536
diff changeset
   472
                  val half_pairss = mk_half_pairss (`I (ms ~~ discD_thms ~~ udiscs));
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   473
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   474
                  val half_goalss = map mk_goal half_pairss;
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   475
                  val half_thmss =
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   476
                    map3 (fn [] => K (K []) | [goal] => fn [(((m, discD), _), _)] =>
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   477
                        fn disc_thm => [prove (mk_half_disc_exclude_tac m discD disc_thm) goal])
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   478
                      half_goalss half_pairss (flat disc_thmss');
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   479
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   480
                  val other_half_goalss = map (mk_goal o map swap) half_pairss;
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   481
                  val other_half_thmss =
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   482
                    map2 (map2 (prove o mk_other_half_disc_exclude_tac)) half_thmss
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   483
                      other_half_goalss;
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   484
                in
49585
5c4a12550491 generate high-level "maps", "sets", and "rels" properties
blanchet
parents: 49536
diff changeset
   485
                  join_halves n half_thmss other_half_thmss ||> `transpose
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   486
                  |>> has_alternate_disc_def ? K []
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   487
                end;
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   488
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   489
              val disc_exhaust_thm =
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   490
                let
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   491
                  fun mk_prem udisc = mk_imp_p [HOLogic.mk_Trueprop udisc];
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   492
                  val goal = fold_rev Logic.all [p, u] (mk_imp_p (map mk_prem udiscs));
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   493
                in
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   494
                  Skip_Proof.prove lthy [] [] goal (fn _ =>
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   495
                    mk_disc_exhaust_tac n exhaust_thm discI_thms)
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   496
                end;
49028
487427a02bee generate "disc_distinct" theorems
blanchet
parents: 49027
diff changeset
   497
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   498
              val (collapse_thms, collapse_thm_opts) =
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   499
                let
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   500
                  fun mk_goal ctr udisc usels =
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   501
                    let
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   502
                      val prem = HOLogic.mk_Trueprop udisc;
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   503
                      val concl =
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   504
                        mk_Trueprop_eq ((null usels ? swap) (Term.list_comb (ctr, usels), u));
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   505
                    in
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   506
                      if prem aconv concl then NONE
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   507
                      else SOME (Logic.all u (Logic.mk_implies (prem, concl)))
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   508
                    end;
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   509
                  val goals = map3 mk_goal ctrs udiscs uselss;
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   510
                in
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   511
                  map4 (fn m => fn discD => fn sel_thms => Option.map (fn goal =>
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   512
                    Skip_Proof.prove lthy [] [] goal (fn {context = ctxt, ...} =>
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   513
                      mk_collapse_tac ctxt m discD sel_thms)
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   514
                    |> perhaps (try (fn thm => refl RS thm)))) ms discD_thms sel_thmss goals
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   515
                  |> `(map_filter I)
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   516
                end;
49025
7e89b0520e83 more work on sugar
blanchet
parents: 49023
diff changeset
   517
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   518
              val expand_thms =
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   519
                let
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   520
                  fun mk_prems k udisc usels vdisc vsels =
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   521
                    (if k = n then [] else [mk_Trueprop_eq (udisc, vdisc)]) @
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   522
                    (if null usels then
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   523
                       []
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   524
                     else
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   525
                       [Logic.list_implies
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   526
                          (if n = 1 then [] else map HOLogic.mk_Trueprop [udisc, vdisc],
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   527
                             HOLogic.mk_Trueprop (Library.foldr1 HOLogic.mk_conj
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   528
                               (map2 (curry HOLogic.mk_eq) usels vsels)))]);
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   529
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49586
diff changeset
   530
                  val goal =
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49586
diff changeset
   531
                    Library.foldr Logic.list_implies
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49586
diff changeset
   532
                      (map5 mk_prems ks udiscs uselss vdiscs vselss, uv_eq);
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49586
diff changeset
   533
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   534
                  val uncollapse_thms =
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   535
                    map (fn NONE => Drule.dummy_thm | SOME thm => thm RS sym) collapse_thm_opts;
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   536
                in
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   537
                  [Skip_Proof.prove lthy [] [] goal (fn {context = ctxt, ...} =>
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   538
                     mk_expand_tac ctxt n ms (inst_thm u disc_exhaust_thm)
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   539
                       (inst_thm v disc_exhaust_thm) uncollapse_thms disc_exclude_thmsss
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   540
                       disc_exclude_thmsss')]
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   541
                  |> Proof_Context.export names_lthy lthy
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   542
                end;
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   543
49594
55e798614c45 tweaked theorem names (in particular, dropped s's)
blanchet
parents: 49591
diff changeset
   544
              val case_conv_thms =
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   545
                let
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   546
                  fun mk_body f usels = Term.list_comb (f, usels);
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   547
                  val goal = mk_Trueprop_eq (ufcase, mk_IfN B udiscs (map2 mk_body fs uselss));
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   548
                in
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   549
                  [Skip_Proof.prove lthy [] [] goal (fn {context = ctxt, ...} =>
49594
55e798614c45 tweaked theorem names (in particular, dropped s's)
blanchet
parents: 49591
diff changeset
   550
                     mk_case_conv_tac ctxt n uexhaust_thm case_thms disc_thmss' sel_thmss)]
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   551
                  |> Proof_Context.export names_lthy lthy
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   552
                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
   553
            in
49484
0194a18f80cf finished "disc_coiter_iff" etc. generation
blanchet
parents: 49478
diff changeset
   554
              (all_sel_thms, sel_thmss, disc_thmss, disc_thms, discI_thms, disc_exclude_thms,
49594
55e798614c45 tweaked theorem names (in particular, dropped s's)
blanchet
parents: 49591
diff changeset
   555
               [disc_exhaust_thm], collapse_thms, expand_thms, case_conv_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
   556
            end;
49025
7e89b0520e83 more work on sugar
blanchet
parents: 49023
diff changeset
   557
49033
23ef2d429931 generate "weak_case_cong" property
blanchet
parents: 49032
diff changeset
   558
        val (case_cong_thm, weak_case_cong_thm) =
49032
c2a7bedd57d8 generate "case_cong" property
blanchet
parents: 49031
diff changeset
   559
          let
c2a7bedd57d8 generate "case_cong" property
blanchet
parents: 49031
diff changeset
   560
            fun mk_prem xctr xs f g =
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   561
              fold_rev Logic.all xs (Logic.mk_implies (mk_Trueprop_eq (v, xctr),
49032
c2a7bedd57d8 generate "case_cong" property
blanchet
parents: 49031
diff changeset
   562
                mk_Trueprop_eq (f, g)));
49033
23ef2d429931 generate "weak_case_cong" property
blanchet
parents: 49032
diff changeset
   563
49032
c2a7bedd57d8 generate "case_cong" property
blanchet
parents: 49031
diff changeset
   564
            val goal =
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49586
diff changeset
   565
              Logic.list_implies (uv_eq :: map4 mk_prem xctrs xss fs gs,
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   566
                 mk_Trueprop_eq (ufcase, vgcase));
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49586
diff changeset
   567
            val weak_goal = Logic.mk_implies (uv_eq, mk_Trueprop_eq (ufcase, vfcase));
49032
c2a7bedd57d8 generate "case_cong" property
blanchet
parents: 49031
diff changeset
   568
          in
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   569
            (Skip_Proof.prove lthy [] [] goal (fn _ => mk_case_cong_tac uexhaust_thm case_thms),
49458
blanchet
parents: 49438
diff changeset
   570
             Skip_Proof.prove lthy [] [] weak_goal (K (etac arg_cong 1)))
49033
23ef2d429931 generate "weak_case_cong" property
blanchet
parents: 49032
diff changeset
   571
            |> pairself (singleton (Proof_Context.export names_lthy lthy))
49032
c2a7bedd57d8 generate "case_cong" property
blanchet
parents: 49031
diff changeset
   572
          end;
49025
7e89b0520e83 more work on sugar
blanchet
parents: 49023
diff changeset
   573
49044
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   574
        val (split_thm, split_asm_thm) =
49043
bd3e33ee762d generate "split" property
blanchet
parents: 49034
diff changeset
   575
          let
49044
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   576
            fun mk_conjunct xctr xs f_xs =
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   577
              list_all_free xs (HOLogic.mk_imp (HOLogic.mk_eq (u, xctr), q $ f_xs));
49044
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   578
            fun mk_disjunct xctr xs f_xs =
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   579
              list_exists_free xs (HOLogic.mk_conj (HOLogic.mk_eq (u, xctr),
49044
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   580
                HOLogic.mk_not (q $ f_xs)));
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   581
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   582
            val lhs = q $ ufcase;
49044
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   583
49043
bd3e33ee762d generate "split" property
blanchet
parents: 49034
diff changeset
   584
            val goal =
49044
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   585
              mk_Trueprop_eq (lhs, Library.foldr1 HOLogic.mk_conj (map3 mk_conjunct xctrs xss xfs));
49458
blanchet
parents: 49438
diff changeset
   586
            val asm_goal =
49044
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   587
              mk_Trueprop_eq (lhs, HOLogic.mk_not (Library.foldr1 HOLogic.mk_disj
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   588
                (map3 mk_disjunct xctrs xss xfs)));
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   589
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   590
            val split_thm =
49049
blanchet
parents: 49048
diff changeset
   591
              Skip_Proof.prove lthy [] [] goal
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   592
                (fn _ => mk_split_tac uexhaust_thm case_thms inject_thmss distinct_thmsss)
49044
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   593
              |> singleton (Proof_Context.export names_lthy lthy)
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   594
            val split_asm_thm =
49458
blanchet
parents: 49438
diff changeset
   595
              Skip_Proof.prove lthy [] [] asm_goal (fn {context = ctxt, ...} =>
49044
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   596
                mk_split_asm_tac ctxt split_thm)
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   597
              |> singleton (Proof_Context.export names_lthy lthy)
49043
bd3e33ee762d generate "split" property
blanchet
parents: 49034
diff changeset
   598
          in
49044
c4a34ae5504d generate "split_asm" property
blanchet
parents: 49043
diff changeset
   599
            (split_thm, split_asm_thm)
49043
bd3e33ee762d generate "split" property
blanchet
parents: 49034
diff changeset
   600
          end;
49025
7e89b0520e83 more work on sugar
blanchet
parents: 49023
diff changeset
   601
49437
c139da00fb4a register induct attributes
blanchet
parents: 49434
diff changeset
   602
        val exhaust_case_names_attr = Attrib.internal (K (Rule_Cases.case_names exhaust_cases));
49300
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
   603
        val cases_type_attr = Attrib.internal (K (Induct.cases_type dataT_name));
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
   604
49052
3510b943dd5b optimized "mk_split_tac" + use "notes"
blanchet
parents: 49050
diff changeset
   605
        val notes =
49594
55e798614c45 tweaked theorem names (in particular, dropped s's)
blanchet
parents: 49591
diff changeset
   606
          [(caseN, case_thms, simp_attrs),
55e798614c45 tweaked theorem names (in particular, dropped s's)
blanchet
parents: 49591
diff changeset
   607
           (case_congN, [case_cong_thm], []),
55e798614c45 tweaked theorem names (in particular, dropped s's)
blanchet
parents: 49591
diff changeset
   608
           (case_convN, case_conv_thms, []),
49300
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
   609
           (collapseN, collapse_thms, simp_attrs),
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
   610
           (discsN, disc_thms, simp_attrs),
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
   611
           (disc_excludeN, disc_exclude_thms, []),
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
   612
           (disc_exhaustN, disc_exhaust_thms, [exhaust_case_names_attr]),
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
   613
           (distinctN, distinct_thms, simp_attrs @ induct_simp_attrs),
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
   614
           (exhaustN, [exhaust_thm], [exhaust_case_names_attr, cases_type_attr]),
49486
64cc57c0d0fe generate "expand" property
blanchet
parents: 49484
diff changeset
   615
           (expandN, expand_thms, []),
49438
5bc80d96241e group "simps" together
blanchet
parents: 49437
diff changeset
   616
           (injectN, inject_thms, iff_attrs @ induct_simp_attrs),
49300
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
   617
           (nchotomyN, [nchotomy_thm], []),
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
   618
           (selsN, all_sel_thms, simp_attrs),
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
   619
           (splitN, [split_thm], []),
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
   620
           (split_asmN, [split_asm_thm], []),
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
   621
           (weak_case_cong_thmsN, [weak_case_cong_thm], cong_attrs)]
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
   622
          |> filter_out (null o #2)
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
   623
          |> map (fn (thmN, thms, attrs) =>
49498
acc583e14167 tuned variable names
blanchet
parents: 49486
diff changeset
   624
            ((Binding.qualify true data_b_name (Binding.name thmN), attrs), [(thms, [])]));
49300
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
   625
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
   626
        val notes' =
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
   627
          [(map (fn th => th RS notE) distinct_thms, safe_elim_attrs)]
c707df2e2083 added attributes to theorems
blanchet
parents: 49298
diff changeset
   628
          |> map (fn (thms, attrs) => ((Binding.empty, attrs), [(thms, [])]));
49019
fc4decdba5ce more work on BNF sugar
blanchet
parents: 49017
diff changeset
   629
      in
49591
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49586
diff changeset
   630
        ((discs, selss, exhaust_thm, inject_thms, distinct_thms, case_thms, disc_thmss, discI_thms,
91b228e26348 generate high-level "coinduct" and "strong_coinduct" properties
blanchet
parents: 49586
diff changeset
   631
          sel_thmss), lthy |> Local_Theory.notes (notes' @ notes) |> snd)
49019
fc4decdba5ce more work on BNF sugar
blanchet
parents: 49017
diff changeset
   632
      end;
49017
66fc7fc2d49b started work on datatype sugar
blanchet
parents:
diff changeset
   633
  in
49121
9e0acaa470ab more work on FP sugar
blanchet
parents: 49120
diff changeset
   634
    (goalss, after_qed, lthy')
49017
66fc7fc2d49b started work on datatype sugar
blanchet
parents:
diff changeset
   635
  end;
66fc7fc2d49b started work on datatype sugar
blanchet
parents:
diff changeset
   636
49199
7c9a3c67c55d added high-level recursor, not yet curried
blanchet
parents: 49174
diff changeset
   637
fun wrap_datatype tacss = (fn (goalss, after_qed, lthy) =>
49111
9d511132394e export "wrap" function
blanchet
parents: 49075
diff changeset
   638
  map2 (map2 (Skip_Proof.prove lthy [] [])) goalss tacss
49280
52413dc96326 allow default values for selectors in low-level "wrap_data" command
blanchet
parents: 49278
diff changeset
   639
  |> (fn thms => after_qed thms lthy)) oo prepare_wrap_datatype (K I);
52413dc96326 allow default values for selectors in low-level "wrap_data" command
blanchet
parents: 49278
diff changeset
   640
49297
47fbf2e3e89c provide a programmatic interface for FP sugar
blanchet
parents: 49286
diff changeset
   641
val wrap_datatype_cmd = (fn (goalss, after_qed, lthy) =>
47fbf2e3e89c provide a programmatic interface for FP sugar
blanchet
parents: 49286
diff changeset
   642
  Proof.theorem NONE (snd oo after_qed) (map (map (rpair [])) goalss) lthy) oo
47fbf2e3e89c provide a programmatic interface for FP sugar
blanchet
parents: 49286
diff changeset
   643
  prepare_wrap_datatype Syntax.read_term;
47fbf2e3e89c provide a programmatic interface for FP sugar
blanchet
parents: 49286
diff changeset
   644
49280
52413dc96326 allow default values for selectors in low-level "wrap_data" command
blanchet
parents: 49278
diff changeset
   645
fun parse_bracket_list parser = @{keyword "["} |-- Parse.list parser --|  @{keyword "]"};
49111
9d511132394e export "wrap" function
blanchet
parents: 49075
diff changeset
   646
49280
52413dc96326 allow default values for selectors in low-level "wrap_data" command
blanchet
parents: 49278
diff changeset
   647
val parse_bindings = parse_bracket_list Parse.binding;
52413dc96326 allow default values for selectors in low-level "wrap_data" command
blanchet
parents: 49278
diff changeset
   648
val parse_bindingss = parse_bracket_list parse_bindings;
52413dc96326 allow default values for selectors in low-level "wrap_data" command
blanchet
parents: 49278
diff changeset
   649
52413dc96326 allow default values for selectors in low-level "wrap_data" command
blanchet
parents: 49278
diff changeset
   650
val parse_bound_term = (Parse.binding --| @{keyword ":"}) -- Parse.term;
52413dc96326 allow default values for selectors in low-level "wrap_data" command
blanchet
parents: 49278
diff changeset
   651
val parse_bound_terms = parse_bracket_list parse_bound_term;
52413dc96326 allow default values for selectors in low-level "wrap_data" command
blanchet
parents: 49278
diff changeset
   652
val parse_bound_termss = parse_bracket_list parse_bound_terms;
49017
66fc7fc2d49b started work on datatype sugar
blanchet
parents:
diff changeset
   653
49278
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   654
val parse_wrap_options =
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   655
  Scan.optional (@{keyword "("} |-- (@{keyword "no_dests"} >> K true) --| @{keyword ")"}) false;
718e4ad1517e added no_dests option
blanchet
parents: 49277
diff changeset
   656
49017
66fc7fc2d49b started work on datatype sugar
blanchet
parents:
diff changeset
   657
val _ =
49074
d8af889dcbe3 renamed three BNF/(co)datatype-related commands
blanchet
parents: 49057
diff changeset
   658
  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
   659
    ((parse_wrap_options -- (@{keyword "["} |-- Parse.list Parse.term --| @{keyword "]"}) --
49280
52413dc96326 allow default values for selectors in low-level "wrap_data" command
blanchet
parents: 49278
diff changeset
   660
      Parse.term -- Scan.optional (parse_bindings -- Scan.optional (parse_bindingss --
52413dc96326 allow default values for selectors in low-level "wrap_data" command
blanchet
parents: 49278
diff changeset
   661
        Scan.optional parse_bound_termss []) ([], [])) ([], ([], [])))
49199
7c9a3c67c55d added high-level recursor, not yet curried
blanchet
parents: 49174
diff changeset
   662
     >> wrap_datatype_cmd);
49017
66fc7fc2d49b started work on datatype sugar
blanchet
parents:
diff changeset
   663
66fc7fc2d49b started work on datatype sugar
blanchet
parents:
diff changeset
   664
end;