src/HOL/Nominal/nominal_atoms.ML
author urbanc
Thu, 05 Jan 2006 12:09:26 +0100
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child 18600 20ad06db427b
permissions -rw-r--r--
changed the name of the type "nOption" to "noption".
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(* $Id$ *)
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signature NOMINAL_ATOMS =
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sig
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  val create_nom_typedecls : string list -> theory -> theory
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  val atoms_of : theory -> string list
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  val mk_permT : typ -> typ
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  val setup : (theory -> theory) list
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end
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structure NominalAtoms : NOMINAL_ATOMS =
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struct
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(* data kind 'HOL/nominal' *)
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structure NominalArgs =
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struct
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  val name = "HOL/nominal";
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  type T = unit Symtab.table;
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  val empty = Symtab.empty;
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  val copy = I;
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  val extend = I;
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  fun merge _ x = Symtab.merge (K true) x;
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  fun print sg tab = ();
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end;
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structure NominalData = TheoryDataFun(NominalArgs);
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fun atoms_of thy = map fst (Symtab.dest (NominalData.get thy));
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(* FIXME: add to hologic.ML ? *)
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fun mk_listT T = Type ("List.list", [T]);
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fun mk_permT T = mk_listT (HOLogic.mk_prodT (T, T));
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fun mk_Cons x xs =
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  let val T = fastype_of x
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  in Const ("List.list.Cons", T --> mk_listT T --> mk_listT T) $ x $ xs end;
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(* this function sets up all matters related to atom-  *)
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(* kinds; the user specifies a list of atom-kind names *)
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(* atom_decl <ak1> ... <akn>                           *)
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fun create_nom_typedecls ak_names thy =
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  let
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    (* declares a type-decl for every atom-kind: *) 
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    (* that is typedecl <ak>                     *)
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    val thy1 = TypedefPackage.add_typedecls (map (fn x => (x,[],NoSyn)) ak_names) thy;
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    (* produces a list consisting of pairs:         *)
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    (*  fst component is the atom-kind name         *)
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    (*  snd component is its type                   *)
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    val full_ak_names = map (Sign.intern_type (sign_of thy1)) ak_names;
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    val ak_names_types = ak_names ~~ map (Type o rpair []) full_ak_names;
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    (* adds for every atom-kind an axiom             *)
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    (* <ak>_infinite: infinite (UNIV::<ak_type> set) *)
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    val (inf_axs,thy2) = PureThy.add_axioms_i (map (fn (ak_name, T) =>
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      let 
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	val name = ak_name ^ "_infinite"
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        val axiom = HOLogic.mk_Trueprop (HOLogic.mk_not
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                    (HOLogic.mk_mem (HOLogic.mk_UNIV T,
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                     Const ("Finite_Set.Finites", HOLogic.mk_setT (HOLogic.mk_setT T)))))
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      in
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	((name, axiom), []) 
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      end) ak_names_types) thy1;
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    (* declares a swapping function for every atom-kind, it is         *)
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    (* const swap_<ak> :: <akT> * <akT> => <akT> => <akT>              *)
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    (* swap_<ak> (a,b) c = (if a=c then b (else if b=c then a else c)) *)
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    (* overloades then the general swap-function                       *) 
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    val (thy3, swap_eqs) = foldl_map (fn (thy, (ak_name, T)) =>
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      let
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        val swapT = HOLogic.mk_prodT (T, T) --> T --> T;
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        val swap_name = Sign.full_name (sign_of thy) ("swap_" ^ ak_name);
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        val a = Free ("a", T);
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        val b = Free ("b", T);
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        val c = Free ("c", T);
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        val ab = Free ("ab", HOLogic.mk_prodT (T, T))
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        val cif = Const ("HOL.If", HOLogic.boolT --> T --> T --> T);
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        val cswap_akname = Const (swap_name, swapT);
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        val cswap = Const ("nominal.swap", swapT)
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        val name = "swap_"^ak_name^"_def";
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        val def1 = HOLogic.mk_Trueprop (HOLogic.mk_eq
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		   (cswap_akname $ HOLogic.mk_prod (a,b) $ c,
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                    cif $ HOLogic.mk_eq (a,c) $ b $ (cif $ HOLogic.mk_eq (b,c) $ a $ c)))
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        val def2 = Logic.mk_equals (cswap $ ab $ c, cswap_akname $ ab $ c)
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      in
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        thy |> Theory.add_consts_i [("swap_" ^ ak_name, swapT, NoSyn)] 
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            |> (#2 o PureThy.add_defs_i true [((name, def2),[])])
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            |> PrimrecPackage.add_primrec_i "" [(("", def1),[])]            
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      end) (thy2, ak_names_types);
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    (* declares a permutation function for every atom-kind acting  *)
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    (* on such atoms                                               *)
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    (* const <ak>_prm_<ak> :: (<akT> * <akT>)list => akT => akT    *)
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    (* <ak>_prm_<ak> []     a = a                                  *)
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    (* <ak>_prm_<ak> (x#xs) a = swap_<ak> x (perm xs a)            *)
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    val (thy4, prm_eqs) = foldl_map (fn (thy, (ak_name, T)) =>
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      let
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        val swapT = HOLogic.mk_prodT (T, T) --> T --> T;
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        val swap_name = Sign.full_name (sign_of thy) ("swap_" ^ ak_name)
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        val prmT = mk_permT T --> T --> T;
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        val prm_name = ak_name ^ "_prm_" ^ ak_name;
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        val qu_prm_name = Sign.full_name (sign_of thy) prm_name;
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        val x  = Free ("x", HOLogic.mk_prodT (T, T));
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        val xs = Free ("xs", mk_permT T);
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        val a  = Free ("a", T) ;
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        val cnil  = Const ("List.list.Nil", mk_permT T);
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        val def1 = HOLogic.mk_Trueprop (HOLogic.mk_eq (Const (qu_prm_name, prmT) $ cnil $ a, a));
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        val def2 = HOLogic.mk_Trueprop (HOLogic.mk_eq
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                   (Const (qu_prm_name, prmT) $ mk_Cons x xs $ a,
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                    Const (swap_name, swapT) $ x $ (Const (qu_prm_name, prmT) $ xs $ a)));
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      in
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        thy |> Theory.add_consts_i [(prm_name, mk_permT T --> T --> T, NoSyn)] 
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            |> PrimrecPackage.add_primrec_i "" [(("", def1), []),(("", def2), [])]
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      end) (thy3, ak_names_types);
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    (* defines permutation functions for all combinations of atom-kinds; *)
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    (* there are a trivial cases and non-trivial cases                   *)
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    (* non-trivial case:                                                 *)
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    (* <ak>_prm_<ak>_def:  perm pi a == <ak>_prm_<ak> pi a               *)
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    (* trivial case with <ak> != <ak'>                                   *)
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    (* <ak>_prm<ak'>_def[simp]:  perm pi a == a                          *)
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    (*                                                                   *)
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    (* the trivial cases are added to the simplifier, while the non-     *)
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    (* have their own rules proved below                                 *)  
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    val (perm_defs, thy5) = fold_map (fn (ak_name, T) => fn thy =>
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      fold_map (fn (ak_name', T') => fn thy' =>
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        let
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          val perm_def_name = ak_name ^ "_prm_" ^ ak_name';
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          val pi = Free ("pi", mk_permT T);
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          val a  = Free ("a", T');
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          val cperm = Const ("nominal.perm", mk_permT T --> T' --> T');
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          val cperm_def = Const (Sign.full_name (sign_of thy') perm_def_name, mk_permT T --> T' --> T');
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          val name = ak_name ^ "_prm_" ^ ak_name' ^ "_def";
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          val def = Logic.mk_equals
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                    (cperm $ pi $ a, if ak_name = ak_name' then cperm_def $ pi $ a else a)
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        in
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          PureThy.add_defs_i true [((name, def),[])] thy'
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        end) ak_names_types thy) ak_names_types thy4;
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    (* proves that every atom-kind is an instance of at *)
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    (* lemma at_<ak>_inst:                              *)
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    (* at TYPE(<ak>)                                    *)
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    val (prm_cons_thms,thy6) = 
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      thy5 |> PureThy.add_thms (map (fn (ak_name, T) =>
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      let
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        val ak_name_qu = Sign.full_name (sign_of thy5) (ak_name);
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        val i_type = Type(ak_name_qu,[]);
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	val cat = Const ("nominal.at",(Term.itselfT i_type)  --> HOLogic.boolT);
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        val at_type = Logic.mk_type i_type;
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        val simp_s = HOL_basic_ss addsimps PureThy.get_thmss thy5
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                                  [Name "at_def",
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                                   Name (ak_name ^ "_prm_" ^ ak_name ^ "_def"),
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                                   Name (ak_name ^ "_prm_" ^ ak_name ^ ".simps"),
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                                   Name ("swap_" ^ ak_name ^ "_def"),
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                                   Name ("swap_" ^ ak_name ^ ".simps"),
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                                   Name (ak_name ^ "_infinite")]
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	val name = "at_"^ak_name^ "_inst";
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        val statement = HOLogic.mk_Trueprop (cat $ at_type);
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        val proof = fn _ => auto_tac (claset(),simp_s);
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      in 
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        ((name, standard (Goal.prove thy5 [] [] statement proof)), []) 
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      end) ak_names_types);
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    (* declares a perm-axclass for every atom-kind               *)
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    (* axclass pt_<ak>                                           *)
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    (* pt_<ak>1[simp]: perm [] x = x                             *)
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    (* pt_<ak>2:       perm (pi1@pi2) x = perm pi1 (perm pi2 x)  *)
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    (* pt_<ak>3:       pi1 ~ pi2 ==> perm pi1 x = perm pi2 x     *)
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     val (pt_ax_classes,thy7) =  fold_map (fn (ak_name, T) => fn thy =>
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      let 
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	  val cl_name = "pt_"^ak_name;
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          val ty = TFree("'a",["HOL.type"]);
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          val x   = Free ("x", ty);
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          val pi1 = Free ("pi1", mk_permT T);
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          val pi2 = Free ("pi2", mk_permT T);
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          val cperm = Const ("nominal.perm", mk_permT T --> ty --> ty);
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          val cnil  = Const ("List.list.Nil", mk_permT T);
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          val cappend = Const ("List.op @",mk_permT T --> mk_permT T --> mk_permT T);
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          val cprm_eq = Const ("nominal.prm_eq",mk_permT T --> mk_permT T --> HOLogic.boolT);
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          (* nil axiom *)
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          val axiom1 = HOLogic.mk_Trueprop (HOLogic.mk_eq 
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                       (cperm $ cnil $ x, x));
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          (* append axiom *)
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          val axiom2 = HOLogic.mk_Trueprop (HOLogic.mk_eq
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                       (cperm $ (cappend $ pi1 $ pi2) $ x, cperm $ pi1 $ (cperm $ pi2 $ x)));
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          (* perm-eq axiom *)
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          val axiom3 = Logic.mk_implies
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                       (HOLogic.mk_Trueprop (cprm_eq $ pi1 $ pi2),
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                        HOLogic.mk_Trueprop (HOLogic.mk_eq (cperm $ pi1 $ x, cperm $ pi2 $ x)));
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      in
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          AxClass.add_axclass_i (cl_name, ["HOL.type"])
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                [((cl_name^"1", axiom1),[Simplifier.simp_add_global]), 
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                 ((cl_name^"2", axiom2),[]),                           
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                 ((cl_name^"3", axiom3),[])] thy                          
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      end) ak_names_types thy6;
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    (* proves that every pt_<ak>-type together with <ak>-type *)
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    (* instance of pt                                         *)
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    (* lemma pt_<ak>_inst:                                    *)
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    (* pt TYPE('x::pt_<ak>) TYPE(<ak>)                        *)
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    val (prm_inst_thms,thy8) = 
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      thy7 |> PureThy.add_thms (map (fn (ak_name, T) =>
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      let
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        val ak_name_qu = Sign.full_name (sign_of thy7) (ak_name);
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        val pt_name_qu = Sign.full_name (sign_of thy7) ("pt_"^ak_name);
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        val i_type1 = TFree("'x",[pt_name_qu]);
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        val i_type2 = Type(ak_name_qu,[]);
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	val cpt = Const ("nominal.pt",(Term.itselfT i_type1)-->(Term.itselfT i_type2)-->HOLogic.boolT);
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        val pt_type = Logic.mk_type i_type1;
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        val at_type = Logic.mk_type i_type2;
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        val simp_s = HOL_basic_ss addsimps PureThy.get_thmss thy7
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                                  [Name "pt_def",
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                                   Name ("pt_" ^ ak_name ^ "1"),
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                                   Name ("pt_" ^ ak_name ^ "2"),
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                                   Name ("pt_" ^ ak_name ^ "3")];
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	val name = "pt_"^ak_name^ "_inst";
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        val statement = HOLogic.mk_Trueprop (cpt $ pt_type $ at_type);
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        val proof = fn _ => auto_tac (claset(),simp_s);
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      in 
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        ((name, standard (Goal.prove thy7 [] [] statement proof)), []) 
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      end) ak_names_types);
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   236
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     (* declares an fs-axclass for every atom-kind       *)
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     (* axclass fs_<ak>                                  *)
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     (* fs_<ak>1: finite ((supp x)::<ak> set)            *)
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     val (fs_ax_classes,thy11) =  fold_map (fn (ak_name, T) => fn thy =>
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       let 
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	  val cl_name = "fs_"^ak_name;
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	  val pt_name = Sign.full_name (sign_of thy) ("pt_"^ak_name);
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          val ty = TFree("'a",["HOL.type"]);
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   245
          val x   = Free ("x", ty);
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   246
          val csupp    = Const ("nominal.supp", ty --> HOLogic.mk_setT T);
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   247
          val cfinites = Const ("Finite_Set.Finites", HOLogic.mk_setT (HOLogic.mk_setT T))
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          val axiom1   = HOLogic.mk_Trueprop (HOLogic.mk_mem (csupp $ x, cfinites));
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       in  
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        AxClass.add_axclass_i (cl_name, [pt_name]) [((cl_name^"1", axiom1),[])] thy            
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       end) ak_names_types thy8; 
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     (* proves that every fs_<ak>-type together with <ak>-type   *)
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     (* instance of fs-type                                      *)
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     (* lemma abst_<ak>_inst:                                    *)
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     (* fs TYPE('x::pt_<ak>) TYPE (<ak>)                         *)
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     val (fs_inst_thms,thy12) = 
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       thy11 |> PureThy.add_thms (map (fn (ak_name, T) =>
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   261
       let
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         val ak_name_qu = Sign.full_name (sign_of thy11) (ak_name);
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         val fs_name_qu = Sign.full_name (sign_of thy11) ("fs_"^ak_name);
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berghofe
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   264
         val i_type1 = TFree("'x",[fs_name_qu]);
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   265
         val i_type2 = Type(ak_name_qu,[]);
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 	 val cfs = Const ("nominal.fs", 
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                                 (Term.itselfT i_type1)-->(Term.itselfT i_type2)-->HOLogic.boolT);
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         val fs_type = Logic.mk_type i_type1;
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         val at_type = Logic.mk_type i_type2;
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	 val simp_s = HOL_basic_ss addsimps PureThy.get_thmss thy11
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                                   [Name "fs_def",
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                                    Name ("fs_" ^ ak_name ^ "1")];
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	 val name = "fs_"^ak_name^ "_inst";
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         val statement = HOLogic.mk_Trueprop (cfs $ fs_type $ at_type);
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         val proof = fn _ => auto_tac (claset(),simp_s);
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       in 
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         ((name, standard (Goal.prove thy11 [] [] statement proof)), []) 
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       end) ak_names_types);
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       (* declares for every atom-kind combination an axclass            *)
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       (* cp_<ak1>_<ak2> giving a composition property                   *)
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       (* cp_<ak1>_<ak2>1: pi1 o pi2 o x = (pi1 o pi2) o (pi1 o x)       *)
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        val (_,thy12b) = fold_map (fn (ak_name, T) => fn thy =>
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	 fold_map (fn (ak_name', T') => fn thy' =>
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	     let
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	       val cl_name = "cp_"^ak_name^"_"^ak_name';
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	       val ty = TFree("'a",["HOL.type"]);
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               val x   = Free ("x", ty);
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               val pi1 = Free ("pi1", mk_permT T);
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	       val pi2 = Free ("pi2", mk_permT T');                  
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	       val cperm1 = Const ("nominal.perm", mk_permT T  --> ty --> ty);
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               val cperm2 = Const ("nominal.perm", mk_permT T' --> ty --> ty);
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               val cperm3 = Const ("nominal.perm", mk_permT T  --> mk_permT T' --> mk_permT T');
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               val ax1   = HOLogic.mk_Trueprop 
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			   (HOLogic.mk_eq (cperm1 $ pi1 $ (cperm2 $ pi2 $ x), 
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                                           cperm2 $ (cperm3 $ pi1 $ pi2) $ (cperm1 $ pi1 $ x)));
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	       in  
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		 AxClass.add_axclass_i (cl_name, ["HOL.type"]) [((cl_name^"1", ax1),[])] thy'  
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	       end) ak_names_types thy) ak_names_types thy12;
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        (* proves for every <ak>-combination a cp_<ak1>_<ak2>_inst theorem;     *)
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        (* lemma cp_<ak1>_<ak2>_inst:                                           *)
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        (* cp TYPE('a::cp_<ak1>_<ak2>) TYPE(<ak1>) TYPE(<ak2>)                  *)
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        val (cp_thms,thy12c) = fold_map (fn (ak_name, T) => fn thy =>
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	 fold_map (fn (ak_name', T') => fn thy' =>
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           let
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             val ak_name_qu  = Sign.full_name (sign_of thy') (ak_name);
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	     val ak_name_qu' = Sign.full_name (sign_of thy') (ak_name');
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             val cp_name_qu  = Sign.full_name (sign_of thy') ("cp_"^ak_name^"_"^ak_name');
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             val i_type0 = TFree("'a",[cp_name_qu]);
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             val i_type1 = Type(ak_name_qu,[]);
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             val i_type2 = Type(ak_name_qu',[]);
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	     val ccp = Const ("nominal.cp",
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                             (Term.itselfT i_type0)-->(Term.itselfT i_type1)-->
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                                                      (Term.itselfT i_type2)-->HOLogic.boolT);
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             val at_type  = Logic.mk_type i_type1;
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             val at_type' = Logic.mk_type i_type2;
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berghofe
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   321
	     val cp_type  = Logic.mk_type i_type0;
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             val simp_s   = HOL_basic_ss addsimps PureThy.get_thmss thy' [(Name "cp_def")];
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	     val cp1      = PureThy.get_thm thy' (Name ("cp_"^ak_name^"_"^ak_name'^"1"));
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   324
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	     val name = "cp_"^ak_name^ "_"^ak_name'^"_inst";
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   326
             val statement = HOLogic.mk_Trueprop (ccp $ cp_type $ at_type $ at_type');
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   327
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             val proof = fn _ => EVERY [auto_tac (claset(),simp_s), rtac cp1 1];
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	   in
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	     PureThy.add_thms [((name, standard (Goal.prove thy' [] [] statement proof)), [])] thy'
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	   end) 
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           ak_names_types thy) ak_names_types thy12b;
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        (* proves for every non-trivial <ak>-combination a disjointness   *)
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        (* theorem; i.e. <ak1> != <ak2>                                   *)
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berghofe
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        (* lemma ds_<ak1>_<ak2>:                                          *)
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        (* dj TYPE(<ak1>) TYPE(<ak2>)                                     *)
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        val (dj_thms, thy12d) = fold_map (fn (ak_name,T) => fn thy =>
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	  fold_map (fn (ak_name',T') => fn thy' =>
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          (if not (ak_name = ak_name') 
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berghofe
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   341
           then 
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   342
	       let
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		 val ak_name_qu  = Sign.full_name (sign_of thy') (ak_name);
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	         val ak_name_qu' = Sign.full_name (sign_of thy') (ak_name');
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   345
                 val i_type1 = Type(ak_name_qu,[]);
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berghofe
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   346
                 val i_type2 = Type(ak_name_qu',[]);
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   347
	         val cdj = Const ("nominal.disjoint",
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                           (Term.itselfT i_type1)-->(Term.itselfT i_type2)-->HOLogic.boolT);
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berghofe
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   349
                 val at_type  = Logic.mk_type i_type1;
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berghofe
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   350
                 val at_type' = Logic.mk_type i_type2;
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   351
                 val simp_s = HOL_basic_ss addsimps PureThy.get_thmss thy' 
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berghofe
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   352
					   [Name "disjoint_def",
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   353
                                            Name (ak_name^"_prm_"^ak_name'^"_def"),
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   354
                                            Name (ak_name'^"_prm_"^ak_name^"_def")];
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   355
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berghofe
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   356
	         val name = "dj_"^ak_name^"_"^ak_name';
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berghofe
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   357
                 val statement = HOLogic.mk_Trueprop (cdj $ at_type $ at_type');
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berghofe
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   358
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berghofe
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   359
                 val proof = fn _ => auto_tac (claset(),simp_s);
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berghofe
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   360
	       in
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   361
		PureThy.add_thms [((name, standard (Goal.prove thy' [] [] statement proof)), [])] thy'
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   362
	       end
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berghofe
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   363
           else 
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   364
            ([],thy')))  (* do nothing branch, if ak_name = ak_name' *) 
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   365
	    ak_names_types thy) ak_names_types thy12c;
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   366
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   367
     (*<<<<<<<  pt_<ak> class instances  >>>>>>>*)
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   368
     (*=========================================*)
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     (* some abbreviations for theorems *)
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      val pt1           = thm "pt1";
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   371
      val pt2           = thm "pt2";
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      val pt3           = thm "pt3";
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   373
      val at_pt_inst    = thm "at_pt_inst";
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   374
      val pt_set_inst   = thm "pt_set_inst"; 
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   375
      val pt_unit_inst  = thm "pt_unit_inst";
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   376
      val pt_prod_inst  = thm "pt_prod_inst"; 
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   377
      val pt_list_inst  = thm "pt_list_inst";   
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   378
      val pt_optn_inst  = thm "pt_option_inst";   
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   379
      val pt_noptn_inst = thm "pt_noption_inst";   
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   380
      val pt_fun_inst   = thm "pt_fun_inst";     
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   381
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   382
     (* for all atom-kind combinations <ak>/<ak'> show that        *)
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   383
     (* every <ak> is an instance of pt_<ak'>; the proof for       *)
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   384
     (* ak!=ak' is by definition; the case ak=ak' uses at_pt_inst. *)
18431
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   385
     val thy13 = fold (fn ak_name => fn thy =>
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diff changeset
   386
	fold (fn ak_name' => fn thy' =>
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diff changeset
   387
         let
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   388
           val qu_name =  Sign.full_name (sign_of thy') ak_name';
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   389
           val cls_name = Sign.full_name (sign_of thy') ("pt_"^ak_name);
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   390
           val at_inst  = PureThy.get_thm thy' (Name ("at_"^ak_name'^"_inst")); 
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diff changeset
   391
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   392
           val proof1 = EVERY [AxClass.intro_classes_tac [],
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berghofe
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diff changeset
   393
                                 rtac ((at_inst RS at_pt_inst) RS pt1) 1,
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berghofe
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   394
                                 rtac ((at_inst RS at_pt_inst) RS pt2) 1,
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berghofe
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diff changeset
   395
                                 rtac ((at_inst RS at_pt_inst) RS pt3) 1,
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berghofe
parents:
diff changeset
   396
                                 atac 1];
18431
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diff changeset
   397
           val simp_s = HOL_basic_ss addsimps 
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diff changeset
   398
                        PureThy.get_thmss thy' [Name (ak_name^"_prm_"^ak_name'^"_def")];  
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parents: 18430
diff changeset
   399
           val proof2 = EVERY [AxClass.intro_classes_tac [], REPEAT (asm_simp_tac simp_s 1)];
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parents: 18430
diff changeset
   400
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diff changeset
   401
         in
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diff changeset
   402
           thy'
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diff changeset
   403
           |> AxClass.add_inst_arity_i (qu_name,[],[cls_name])
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urbanc
parents: 18430
diff changeset
   404
              (if ak_name = ak_name' then proof1 else proof2)
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urbanc
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diff changeset
   405
         end) ak_names thy) ak_names thy12c;
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berghofe
parents:
diff changeset
   406
18430
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   407
     (* show that                       *)
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urbanc
parents: 18426
diff changeset
   408
     (*      fun(pt_<ak>,pt_<ak>)       *)
18579
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parents: 18438
diff changeset
   409
     (*      noption(pt_<ak>)           *)
18430
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   410
     (*      option(pt_<ak>)            *)
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urbanc
parents: 18426
diff changeset
   411
     (*      list(pt_<ak>)              *)
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   412
     (*      *(pt_<ak>,pt_<ak>)         *)
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   413
     (*      unit                       *)
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   414
     (*      set(pt_<ak>)               *)
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   415
     (* are instances of pt_<ak>        *)
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   416
     val thy18 = fold (fn ak_name => fn thy =>
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   417
       let
18430
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   418
          val cls_name = Sign.full_name (sign_of thy) ("pt_"^ak_name);
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   419
          val at_thm   = PureThy.get_thm thy (Name ("at_"^ak_name^"_inst"));
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   420
          val pt_inst  = PureThy.get_thm thy (Name ("pt_"^ak_name^"_inst"));
18430
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   421
          
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   422
          fun pt_proof thm = 
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   423
	      EVERY [AxClass.intro_classes_tac [],
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   424
                     rtac (thm RS pt1) 1, rtac (thm RS pt2) 1, rtac (thm RS pt3) 1, atac 1];
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   425
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   426
          val pt_thm_fun   = at_thm RS (pt_inst RS (pt_inst RS pt_fun_inst));
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   427
          val pt_thm_noptn = pt_inst RS pt_noptn_inst; 
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   428
          val pt_thm_optn  = pt_inst RS pt_optn_inst; 
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   429
          val pt_thm_list  = pt_inst RS pt_list_inst;
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   430
          val pt_thm_prod  = pt_inst RS (pt_inst RS pt_prod_inst);
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   431
          val pt_thm_unit  = pt_unit_inst;
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   432
          val pt_thm_set   = pt_inst RS pt_set_inst
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   433
       in 
18430
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   434
	thy
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   435
	|> AxClass.add_inst_arity_i ("fun",[[cls_name],[cls_name]],[cls_name]) (pt_proof pt_thm_fun)
18579
002d371401f5 changed the name of the type "nOption" to "noption".
urbanc
parents: 18438
diff changeset
   436
        |> AxClass.add_inst_arity_i ("nominal.noption",[[cls_name]],[cls_name]) (pt_proof pt_thm_noptn) 
18430
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   437
        |> AxClass.add_inst_arity_i ("Datatype.option",[[cls_name]],[cls_name]) (pt_proof pt_thm_optn)
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   438
        |> AxClass.add_inst_arity_i ("List.list",[[cls_name]],[cls_name]) (pt_proof pt_thm_list)
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   439
        |> AxClass.add_inst_arity_i ("*",[[cls_name],[cls_name]],[cls_name]) (pt_proof pt_thm_prod)
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   440
        |> AxClass.add_inst_arity_i ("Product_Type.unit",[],[cls_name]) (pt_proof pt_thm_unit)
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   441
        |> AxClass.add_inst_arity_i ("set",[[cls_name]],[cls_name]) (pt_proof pt_thm_set)
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   442
     end) ak_names thy13; 
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   443
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   444
       (*<<<<<<<  fs_<ak> class instances  >>>>>>>*)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   445
       (*=========================================*)
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   446
       (* abbreviations for some lemmas *)
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   447
       val fs1            = thm "fs1";
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   448
       val fs_at_inst     = thm "fs_at_inst";
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   449
       val fs_unit_inst   = thm "fs_unit_inst";
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   450
       val fs_prod_inst   = thm "fs_prod_inst";
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   451
       val fs_list_inst   = thm "fs_list_inst";
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   452
       val fs_option_inst = thm "fs_option_inst";
18437
ee0283e5dfe3 added proofs to show that every atom-kind combination
urbanc
parents: 18436
diff changeset
   453
       val dj_supp        = thm "dj_supp"
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   454
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   455
       (* shows that <ak> is an instance of fs_<ak>     *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   456
       (* uses the theorem at_<ak>_inst                 *)
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   457
       val thy20 = fold (fn ak_name => fn thy =>
18437
ee0283e5dfe3 added proofs to show that every atom-kind combination
urbanc
parents: 18436
diff changeset
   458
	fold (fn ak_name' => fn thy' => 
ee0283e5dfe3 added proofs to show that every atom-kind combination
urbanc
parents: 18436
diff changeset
   459
        let
ee0283e5dfe3 added proofs to show that every atom-kind combination
urbanc
parents: 18436
diff changeset
   460
           val qu_name =  Sign.full_name (sign_of thy') ak_name';
ee0283e5dfe3 added proofs to show that every atom-kind combination
urbanc
parents: 18436
diff changeset
   461
           val qu_class = Sign.full_name (sign_of thy') ("fs_"^ak_name);
ee0283e5dfe3 added proofs to show that every atom-kind combination
urbanc
parents: 18436
diff changeset
   462
           val proof = 
ee0283e5dfe3 added proofs to show that every atom-kind combination
urbanc
parents: 18436
diff changeset
   463
	       (if ak_name = ak_name'
ee0283e5dfe3 added proofs to show that every atom-kind combination
urbanc
parents: 18436
diff changeset
   464
	        then
ee0283e5dfe3 added proofs to show that every atom-kind combination
urbanc
parents: 18436
diff changeset
   465
	          let val at_thm = PureThy.get_thm thy' (Name ("at_"^ak_name^"_inst"));
ee0283e5dfe3 added proofs to show that every atom-kind combination
urbanc
parents: 18436
diff changeset
   466
                  in  EVERY [AxClass.intro_classes_tac [],
ee0283e5dfe3 added proofs to show that every atom-kind combination
urbanc
parents: 18436
diff changeset
   467
                             rtac ((at_thm RS fs_at_inst) RS fs1) 1] end
ee0283e5dfe3 added proofs to show that every atom-kind combination
urbanc
parents: 18436
diff changeset
   468
                else
ee0283e5dfe3 added proofs to show that every atom-kind combination
urbanc
parents: 18436
diff changeset
   469
		  let val dj_inst = PureThy.get_thm thy' (Name ("dj_"^ak_name'^"_"^ak_name));
ee0283e5dfe3 added proofs to show that every atom-kind combination
urbanc
parents: 18436
diff changeset
   470
                      val simp_s = HOL_basic_ss addsimps [dj_inst RS dj_supp, Finites.emptyI]; 
ee0283e5dfe3 added proofs to show that every atom-kind combination
urbanc
parents: 18436
diff changeset
   471
                  in EVERY [AxClass.intro_classes_tac [], asm_simp_tac simp_s 1] end)      
ee0283e5dfe3 added proofs to show that every atom-kind combination
urbanc
parents: 18436
diff changeset
   472
        in 
ee0283e5dfe3 added proofs to show that every atom-kind combination
urbanc
parents: 18436
diff changeset
   473
	 AxClass.add_inst_arity_i (qu_name,[],[qu_class]) proof thy' 
ee0283e5dfe3 added proofs to show that every atom-kind combination
urbanc
parents: 18436
diff changeset
   474
        end) ak_names thy) ak_names thy18;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   475
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   476
       (* shows that                  *)
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   477
       (*    unit                     *)
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   478
       (*    *(fs_<ak>,fs_<ak>)       *)
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   479
       (*    list(fs_<ak>)            *)
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   480
       (*    option(fs_<ak>)          *) 
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   481
       (* are instances of fs_<ak>    *)
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   482
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   483
       val thy24 = fold (fn ak_name => fn thy => 
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   484
        let
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   485
          val cls_name = Sign.full_name (sign_of thy) ("fs_"^ak_name);
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   486
          val fs_inst  = PureThy.get_thm thy (Name ("fs_"^ak_name^"_inst"));
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   487
          fun fs_proof thm = EVERY [AxClass.intro_classes_tac [], rtac (thm RS fs1) 1];      
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   488
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   489
          val fs_thm_unit = fs_unit_inst;
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   490
          val fs_thm_prod = fs_inst RS (fs_inst RS fs_prod_inst);
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   491
          val fs_thm_list = fs_inst RS fs_list_inst;
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   492
          val fs_thm_optn = fs_inst RS fs_option_inst;
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   493
        in 
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   494
         thy 
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   495
         |> AxClass.add_inst_arity_i ("Product_Type.unit",[],[cls_name]) (fs_proof fs_thm_unit) 
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   496
         |> AxClass.add_inst_arity_i ("*",[[cls_name],[cls_name]],[cls_name]) (fs_proof fs_thm_prod)    
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   497
         |> AxClass.add_inst_arity_i ("List.list",[[cls_name]],[cls_name]) (fs_proof fs_thm_list)
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   498
         |> AxClass.add_inst_arity_i ("Datatype.option",[[cls_name]],[cls_name]) (fs_proof fs_thm_optn)
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   499
        end) ak_names thy20; 
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   500
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   501
       (*<<<<<<<  cp_<ak>_<ai> class instances  >>>>>>>*)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   502
       (*==============================================*)
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   503
       (* abbreviations for some lemmas *)
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   504
       val cp1             = thm "cp1";
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   505
       val cp_unit_inst    = thm "cp_unit_inst";
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   506
       val cp_bool_inst    = thm "cp_bool_inst";
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   507
       val cp_prod_inst    = thm "cp_prod_inst";
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   508
       val cp_list_inst    = thm "cp_list_inst";
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   509
       val cp_fun_inst     = thm "cp_fun_inst";
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   510
       val cp_option_inst  = thm "cp_option_inst";
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   511
       val cp_noption_inst = thm "cp_noption_inst";
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   512
       val pt_perm_compose = thm "pt_perm_compose";
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   513
       val dj_pp_forget    = thm "dj_perm_perm_forget";
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   514
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   515
       (* shows that <aj> is an instance of cp_<ak>_<ai>  *)
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   516
       (* for every  <ak>/<ai>-combination                *)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   517
       val thy25 = fold (fn ak_name => fn thy => 
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   518
	 fold (fn ak_name' => fn thy' => 
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   519
          fold (fn ak_name'' => fn thy'' => 
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   520
            let
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   521
              val name =  Sign.full_name (sign_of thy'') ak_name;
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   522
              val cls_name = Sign.full_name (sign_of thy'') ("cp_"^ak_name'^"_"^ak_name'');
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   523
              val proof =
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   524
                (if (ak_name'=ak_name'') then 
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   525
		  (let
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   526
                    val pt_inst  = PureThy.get_thm thy'' (Name ("pt_"^ak_name''^"_inst"));
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   527
		    val at_inst  = PureThy.get_thm thy'' (Name ("at_"^ak_name''^"_inst"));
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   528
                  in 
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   529
		   EVERY [AxClass.intro_classes_tac [], 
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   530
                          rtac (at_inst RS (pt_inst RS pt_perm_compose)) 1]
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   531
                  end)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   532
		else
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   533
		  (let 
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   534
                     val dj_inst  = PureThy.get_thm thy'' (Name ("dj_"^ak_name''^"_"^ak_name'));
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   535
		     val simp_s = HOL_basic_ss addsimps 
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   536
                                        ((dj_inst RS dj_pp_forget)::
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   537
                                         (PureThy.get_thmss thy'' 
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   538
					   [Name (ak_name' ^"_prm_"^ak_name^"_def"),
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   539
                                            Name (ak_name''^"_prm_"^ak_name^"_def")]));  
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   540
		  in 
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   541
                    EVERY [AxClass.intro_classes_tac [], simp_tac simp_s 1]
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   542
                  end))
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   543
	      in
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   544
                AxClass.add_inst_arity_i (name,[],[cls_name]) proof thy''
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   545
	      end) ak_names thy') ak_names thy) ak_names thy24;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   546
      
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   547
       (* shows that                                                    *) 
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   548
       (*      units                                                    *) 
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   549
       (*      products                                                 *)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   550
       (*      lists                                                    *)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   551
       (*      functions                                                *)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   552
       (*      options                                                  *)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   553
       (*      noptions                                                 *)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   554
       (* are instances of cp_<ak>_<ai> for every <ak>/<ai>-combination *)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   555
       val thy26 = fold (fn ak_name => fn thy =>
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   556
	fold (fn ak_name' => fn thy' =>
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   557
        let
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   558
            val cls_name = Sign.full_name (sign_of thy') ("cp_"^ak_name^"_"^ak_name');
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   559
            val cp_inst  = PureThy.get_thm thy' (Name ("cp_"^ak_name^"_"^ak_name'^"_inst"));
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   560
            val pt_inst  = PureThy.get_thm thy' (Name ("pt_"^ak_name^"_inst"));
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   561
            val at_inst  = PureThy.get_thm thy' (Name ("at_"^ak_name^"_inst"));
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   562
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   563
            fun cp_proof thm  = EVERY [AxClass.intro_classes_tac [],rtac (thm RS cp1) 1];     
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   564
	  
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   565
            val cp_thm_unit = cp_unit_inst;
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   566
            val cp_thm_prod = cp_inst RS (cp_inst RS cp_prod_inst);
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   567
            val cp_thm_list = cp_inst RS cp_list_inst;
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   568
            val cp_thm_fun  = at_inst RS (pt_inst RS (cp_inst RS (cp_inst RS cp_fun_inst)));
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   569
            val cp_thm_optn = cp_inst RS cp_option_inst;
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   570
            val cp_thm_noptn = cp_inst RS cp_noption_inst;
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   571
        in
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   572
         thy'
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   573
         |> AxClass.add_inst_arity_i ("Product_Type.unit",[],[cls_name]) (cp_proof cp_thm_unit)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   574
	 |> AxClass.add_inst_arity_i ("*",[[cls_name],[cls_name]],[cls_name]) (cp_proof cp_thm_prod)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   575
         |> AxClass.add_inst_arity_i ("List.list",[[cls_name]],[cls_name]) (cp_proof cp_thm_list)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   576
         |> AxClass.add_inst_arity_i ("fun",[[cls_name],[cls_name]],[cls_name]) (cp_proof cp_thm_fun)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   577
         |> AxClass.add_inst_arity_i ("Datatype.option",[[cls_name]],[cls_name]) (cp_proof cp_thm_optn)
18579
002d371401f5 changed the name of the type "nOption" to "noption".
urbanc
parents: 18438
diff changeset
   578
         |> AxClass.add_inst_arity_i ("nominal.noption",[[cls_name]],[cls_name]) (cp_proof cp_thm_noptn)
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   579
        end) ak_names thy) ak_names thy25;
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   580
       
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   581
     (* show that discrete nominal types are permutation types, finitely     *) 
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   582
     (* supported and have the commutation property                          *)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   583
     (* discrete types have a permutation operation defined as pi o x = x;   *)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   584
     (* which renders the proofs to be simple "simp_all"-proofs.             *)            
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   585
     val thy32 =
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   586
        let 
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   587
	  fun discrete_pt_inst discrete_ty defn = 
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   588
	     fold (fn ak_name => fn thy =>
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   589
	     let
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   590
	       val qu_class = Sign.full_name (sign_of thy) ("pt_"^ak_name);
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   591
	       val simp_s = HOL_basic_ss addsimps [defn];
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   592
               val proof = EVERY [AxClass.intro_classes_tac [], REPEAT (asm_simp_tac simp_s 1)];      
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   593
             in  
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   594
	       AxClass.add_inst_arity_i (discrete_ty,[],[qu_class]) proof thy
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   595
             end) ak_names;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   596
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   597
          fun discrete_fs_inst discrete_ty defn = 
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   598
	     fold (fn ak_name => fn thy =>
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   599
	     let
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   600
	       val qu_class = Sign.full_name (sign_of thy) ("fs_"^ak_name);
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   601
	       val supp_def = thm "nominal.supp_def";
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   602
               val simp_s = HOL_ss addsimps [supp_def,Collect_const,Finites.emptyI,defn];
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   603
               val proof = EVERY [AxClass.intro_classes_tac [], asm_simp_tac simp_s 1];      
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   604
             in  
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   605
	       AxClass.add_inst_arity_i (discrete_ty,[],[qu_class]) proof thy
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   606
             end) ak_names;  
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   607
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   608
          fun discrete_cp_inst discrete_ty defn = 
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   609
	     fold (fn ak_name' => (fold (fn ak_name => fn thy =>
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   610
	     let
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   611
	       val qu_class = Sign.full_name (sign_of thy) ("cp_"^ak_name^"_"^ak_name');
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   612
	       val supp_def = thm "nominal.supp_def";
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   613
               val simp_s = HOL_ss addsimps [defn];
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   614
               val proof = EVERY [AxClass.intro_classes_tac [], asm_simp_tac simp_s 1];      
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   615
             in  
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   616
	       AxClass.add_inst_arity_i (discrete_ty,[],[qu_class]) proof thy
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   617
             end) ak_names)) ak_names;  
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   618
          
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   619
        in
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   620
         thy26
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   621
         |> discrete_pt_inst "nat"  (thm "perm_nat_def")
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   622
         |> discrete_fs_inst "nat"  (thm "perm_nat_def") 
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   623
         |> discrete_cp_inst "nat"  (thm "perm_nat_def") 
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   624
         |> discrete_pt_inst "bool" (thm "perm_bool")
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   625
         |> discrete_fs_inst "bool" (thm "perm_bool")
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   626
         |> discrete_cp_inst "bool" (thm "perm_bool")
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   627
         |> discrete_pt_inst "IntDef.int" (thm "perm_int_def")
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   628
         |> discrete_fs_inst "IntDef.int" (thm "perm_int_def") 
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   629
         |> discrete_cp_inst "IntDef.int" (thm "perm_int_def") 
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   630
         |> discrete_pt_inst "List.char" (thm "perm_char_def")
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   631
         |> discrete_fs_inst "List.char" (thm "perm_char_def")
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   632
         |> discrete_cp_inst "List.char" (thm "perm_char_def")
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   633
        end;
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   634
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   635
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   636
       (* abbreviations for some lemmas *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   637
       (*===============================*)
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   638
       val abs_fun_pi        = thm "nominal.abs_fun_pi";
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   639
       val abs_fun_pi_ineq   = thm "nominal.abs_fun_pi_ineq";
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   640
       val abs_fun_eq        = thm "nominal.abs_fun_eq";
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   641
       val dj_perm_forget    = thm "nominal.dj_perm_forget";
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   642
       val dj_pp_forget      = thm "nominal.dj_perm_perm_forget";
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   643
       val fresh_iff         = thm "nominal.fresh_abs_fun_iff";
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   644
       val fresh_iff_ineq    = thm "nominal.fresh_abs_fun_iff_ineq";
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   645
       val abs_fun_supp      = thm "nominal.abs_fun_supp";
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   646
       val abs_fun_supp_ineq = thm "nominal.abs_fun_supp_ineq";
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   647
       val pt_swap_bij       = thm "nominal.pt_swap_bij";
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   648
       val pt_fresh_fresh    = thm "nominal.pt_fresh_fresh";
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   649
       val pt_bij            = thm "nominal.pt_bij";
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   650
       val pt_perm_compose   = thm "nominal.pt_perm_compose";
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   651
       val perm_eq_app       = thm "nominal.perm_eq_app";
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   652
       val at_fresh          = thm "nominal.at_fresh";
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   653
       val at_calc           = thms "nominal.at_calc";
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   654
       val at_supp           = thm "nominal.at_supp";
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   655
       val dj_supp           = thm "nominal.dj_supp";
18396
b3e7da94b51f added a fresh_left lemma that contains all instantiation
urbanc
parents: 18381
diff changeset
   656
       val fresh_left_ineq   = thm "nominal.pt_fresh_left_ineq";
b3e7da94b51f added a fresh_left lemma that contains all instantiation
urbanc
parents: 18381
diff changeset
   657
       val fresh_left        = thm "nominal.pt_fresh_left";
18426
d2303e8654a2 added container-lemma fresh_eqvt
urbanc
parents: 18396
diff changeset
   658
       val fresh_bij_ineq    = thm "nominal.pt_fresh_bij_ineq";
d2303e8654a2 added container-lemma fresh_eqvt
urbanc
parents: 18396
diff changeset
   659
       val fresh_bij         = thm "nominal.pt_fresh_bij";
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   660
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   661
       (* Now we collect and instantiate some lemmas w.r.t. all atom      *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   662
       (* types; this allows for example to use abs_perm (which is a      *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   663
       (* collection of theorems) instead of thm abs_fun_pi with explicit *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   664
       (* instantiations.                                                 *)
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   665
       val (_,thy33) = 
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   666
	 let 
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   667
             (* takes a theorem thm and a list of theorems [t1,..,tn]            *)
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   668
             (* produces a list of theorems of the form [t1 RS thm,..,tn RS thm] *) 
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   669
             fun instR thm thms = map (fn ti => ti RS thm) thms;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   670
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   671
             (* takes two theorem lists (hopefully of the same length ;o)                *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   672
             (* produces a list of theorems of the form                                  *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   673
             (* [t1 RS m1,..,tn RS mn] where [t1,..,tn] is thms1 and [m1,..,mn] is thms2 *) 
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   674
             fun inst_zip thms1 thms2 = map (fn (t1,t2) => t1 RS t2) (thms1 ~~ thms2);
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   675
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   676
             (* takes a theorem list of the form [l1,...,ln]              *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   677
             (* and a list of theorem lists of the form                   *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   678
             (* [[h11,...,h1m],....,[hk1,....,hkm]                        *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   679
             (* produces the list of theorem lists                        *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   680
             (* [[l1 RS h11,...,l1 RS h1m],...,[ln RS hk1,...,ln RS hkm]] *)
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   681
             fun inst_mult thms thmss = map (fn (t,ts) => instR t ts) (thms ~~ thmss);
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   682
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   683
             (* FIXME: these lists do not need to be created dynamically again *)
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   684
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   685
             (* list of all at_inst-theorems *)
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   686
             val ats = map (fn ak => PureThy.get_thm thy32 (Name ("at_"^ak^"_inst"))) ak_names
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   687
             (* list of all pt_inst-theorems *)
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   688
             val pts = map (fn ak => PureThy.get_thm thy32 (Name ("pt_"^ak^"_inst"))) ak_names
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   689
             (* list of all cp_inst-theorems as a collection of lists*)
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   690
             val cps = 
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   691
		 let fun cps_fun ak1 ak2 = PureThy.get_thm thy32 (Name ("cp_"^ak1^"_"^ak2^"_inst"))
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   692
		 in map (fn aki => (map (cps_fun aki) ak_names)) ak_names end; 
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   693
             (* list of all cp_inst-theorems that have different atom types *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   694
             val cps' = 
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   695
		let fun cps'_fun ak1 ak2 = 
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   696
		if ak1=ak2 then NONE else SOME(PureThy.get_thm thy32 (Name ("cp_"^ak1^"_"^ak2^"_inst")))
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   697
		in map (fn aki => (List.mapPartial I (map (cps'_fun aki) ak_names))) ak_names end;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   698
             (* list of all dj_inst-theorems *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   699
             val djs = 
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   700
	       let fun djs_fun (ak1,ak2) = 
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   701
		     if ak1=ak2 then NONE else SOME(PureThy.get_thm thy32 (Name ("dj_"^ak2^"_"^ak1)))
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   702
	       in List.mapPartial I (map djs_fun (Library.product ak_names ak_names)) end;
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   703
             (* list of all fs_inst-theorems *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   704
             val fss = map (fn ak => PureThy.get_thm thy32 (Name ("fs_"^ak^"_inst"))) ak_names
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   705
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   706
             fun inst_pt thms = Library.flat (map (fn ti => instR ti pts) thms); 
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   707
             fun inst_at thms = Library.flat (map (fn ti => instR ti ats) thms);               
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   708
             fun inst_fs thms = Library.flat (map (fn ti => instR ti fss) thms);
18436
9649e24bc10e added thms to perm_compose (so far only composition
urbanc
parents: 18435
diff changeset
   709
             fun inst_cp thms cps = Library.flat (inst_mult thms cps); 
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   710
	     fun inst_pt_at thms = inst_zip ats (inst_pt thms);			
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   711
             fun inst_dj thms = Library.flat (map (fn ti => instR ti djs) thms);  
18436
9649e24bc10e added thms to perm_compose (so far only composition
urbanc
parents: 18435
diff changeset
   712
	     fun inst_pt_pt_at_cp thms = inst_cp (inst_zip ats (inst_zip pts (inst_pt thms))) cps;
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   713
             fun inst_pt_at_fs thms = inst_zip (inst_fs [fs1]) (inst_zip ats (inst_pt thms));
18396
b3e7da94b51f added a fresh_left lemma that contains all instantiation
urbanc
parents: 18381
diff changeset
   714
	     fun inst_pt_pt_at_cp thms = 
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   715
		 let val i_pt_pt_at = inst_zip ats (inst_zip pts (inst_pt thms));
18436
9649e24bc10e added thms to perm_compose (so far only composition
urbanc
parents: 18435
diff changeset
   716
                     val i_pt_pt_at_cp = inst_cp i_pt_pt_at cps';
18396
b3e7da94b51f added a fresh_left lemma that contains all instantiation
urbanc
parents: 18381
diff changeset
   717
		 in i_pt_pt_at_cp end;
b3e7da94b51f added a fresh_left lemma that contains all instantiation
urbanc
parents: 18381
diff changeset
   718
             fun inst_pt_pt_at_cp_dj thms = inst_zip djs (inst_pt_pt_at_cp thms);
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   719
           in
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   720
            thy32 
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   721
	    |>   PureThy.add_thmss [(("alpha", inst_pt_at [abs_fun_eq]),[])]
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   722
            ||>> PureThy.add_thmss [(("perm_swap", inst_pt_at [pt_swap_bij]),[])]
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   723
            ||>> PureThy.add_thmss [(("perm_fresh_fresh", inst_pt_at [pt_fresh_fresh]),[])]
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   724
            ||>> PureThy.add_thmss [(("perm_bij", inst_pt_at [pt_bij]),[])]
18436
9649e24bc10e added thms to perm_compose (so far only composition
urbanc
parents: 18435
diff changeset
   725
            ||>> PureThy.add_thmss 
9649e24bc10e added thms to perm_compose (so far only composition
urbanc
parents: 18435
diff changeset
   726
	      let val thms1 = inst_pt_at [pt_perm_compose];
9649e24bc10e added thms to perm_compose (so far only composition
urbanc
parents: 18435
diff changeset
   727
		  val thms2 = instR cp1 (Library.flat cps');
9649e24bc10e added thms to perm_compose (so far only composition
urbanc
parents: 18435
diff changeset
   728
              in [(("perm_compose",thms1 @ thms2),[])] end
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   729
            ||>> PureThy.add_thmss [(("perm_app_eq", inst_pt_at [perm_eq_app]),[])]
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   730
            ||>> PureThy.add_thmss [(("supp_atm", (inst_at [at_supp]) @ (inst_dj [dj_supp])),[])]
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   731
            ||>> PureThy.add_thmss [(("fresh_atm", inst_at [at_fresh]),[])]
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   732
            ||>> PureThy.add_thmss [(("calc_atm", inst_at at_calc),[])]
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   733
            ||>> PureThy.add_thmss
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   734
	      let val thms1 = inst_pt_at [abs_fun_pi]
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   735
		  and thms2 = inst_pt_pt_at_cp [abs_fun_pi_ineq]
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   736
	      in [(("abs_perm", thms1 @ thms2),[])] end
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   737
            ||>> PureThy.add_thmss
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   738
	      let val thms1 = inst_dj [dj_perm_forget]
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   739
		  and thms2 = inst_dj [dj_pp_forget]
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   740
              in [(("perm_dj", thms1 @ thms2),[])] end
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   741
            ||>> PureThy.add_thmss
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   742
	      let val thms1 = inst_pt_at_fs [fresh_iff]
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   743
		  and thms2 = inst_pt_pt_at_cp_dj [fresh_iff_ineq]
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   744
	    in [(("abs_fresh", thms1 @ thms2),[])] end
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   745
	    ||>> PureThy.add_thmss
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   746
	      let val thms1 = inst_pt_at [abs_fun_supp]
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   747
		  and thms2 = inst_pt_at_fs [abs_fun_supp]
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   748
		  and thms3 = inst_pt_pt_at_cp_dj [abs_fun_supp_ineq]
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   749
	      in [(("abs_supp", thms1 @ thms2 @ thms3),[])] end
18396
b3e7da94b51f added a fresh_left lemma that contains all instantiation
urbanc
parents: 18381
diff changeset
   750
            ||>> PureThy.add_thmss
b3e7da94b51f added a fresh_left lemma that contains all instantiation
urbanc
parents: 18381
diff changeset
   751
	      let val thms1 = inst_pt_at [fresh_left]
b3e7da94b51f added a fresh_left lemma that contains all instantiation
urbanc
parents: 18381
diff changeset
   752
		  and thms2 = inst_pt_pt_at_cp [fresh_left_ineq]
b3e7da94b51f added a fresh_left lemma that contains all instantiation
urbanc
parents: 18381
diff changeset
   753
	      in [(("fresh_left", thms1 @ thms2),[])] end
18426
d2303e8654a2 added container-lemma fresh_eqvt
urbanc
parents: 18396
diff changeset
   754
            ||>> PureThy.add_thmss
d2303e8654a2 added container-lemma fresh_eqvt
urbanc
parents: 18396
diff changeset
   755
	      let val thms1 = inst_pt_at [fresh_bij]
d2303e8654a2 added container-lemma fresh_eqvt
urbanc
parents: 18396
diff changeset
   756
		  and thms2 = inst_pt_pt_at_cp [fresh_bij_ineq]
d2303e8654a2 added container-lemma fresh_eqvt
urbanc
parents: 18396
diff changeset
   757
	      in [(("fresh_eqvt", thms1 @ thms2),[])] end
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   758
	   end;
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   759
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   760
    in NominalData.put (fold Symtab.update (map (rpair ()) full_ak_names)
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   761
      (NominalData.get thy11)) thy33
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   762
    end;
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   763
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   764
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   765
(* syntax und parsing *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   766
structure P = OuterParse and K = OuterKeyword;
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   767
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   768
val atom_declP =
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   769
  OuterSyntax.command "atom_decl" "Declare new kinds of atoms" K.thy_decl
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   770
    (Scan.repeat1 P.name >> (Toplevel.theory o create_nom_typedecls));
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   771
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   772
val _ = OuterSyntax.add_parsers [atom_declP];
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   773
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   774
val setup = [NominalData.init];
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   775
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   776
end;