src/HOL/Nominal/nominal_atoms.ML
author wenzelm
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(*  Title:      HOL/Nominal/nominal_atoms.ML
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    ID:         $Id$
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    Author:     Christian Urban and Stefan Berghofer, TU Muenchen
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Declaration of atom types to be used in nominal datatypes.
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*)
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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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  type atom_info
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  val get_atom_infos : theory -> atom_info Symtab.table
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  val get_atom_info : theory -> string -> atom_info option
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  val atoms_of : theory -> string list
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  val mk_permT : typ -> typ
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end
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structure NominalAtoms : NOMINAL_ATOMS =
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struct
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val finite_emptyI = @{thm "finite.emptyI"};
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val Collect_const = @{thm "Collect_const"};
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(* theory data *)
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type atom_info =
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  {pt_class : string,
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   fs_class : string,
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   cp_classes : (string * string) list};
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structure NominalData = TheoryDataFun
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(
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  type T = atom_info 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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);
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fun make_atom_info ((pt_class, fs_class), cp_classes) =
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  {pt_class = pt_class,
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   fs_class = fs_class,
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   cp_classes = cp_classes};
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val get_atom_infos = NominalData.get;
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val get_atom_info = Symtab.lookup o NominalData.get;
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fun atoms_of thy = map fst (Symtab.dest (NominalData.get thy));
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fun mk_permT T = HOLogic.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 --> HOLogic.listT T --> HOLogic.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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    val cla_s = claset_of thy;
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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 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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                    (Const ("Finite_Set.finite", HOLogic.mk_setT T --> HOLogic.boolT) $
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                       HOLogic.mk_UNIV 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 (swap_eqs, thy3) = fold_map (fn (ak_name, T) => fn thy =>
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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 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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            |> PureThy.add_defs_unchecked_i true [((name, def2),[])]
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            |> snd
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            |> PrimrecPackage.add_primrec_unchecked_i "" [(("", def1),[])]
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      end) ak_names_types thy2;
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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 (prm_eqs, thy4) = fold_map (fn (ak_name, T) => fn thy =>
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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 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 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_unchecked_i "" [(("", def1), []),(("", def2), [])]
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      end) ak_names_types thy3;
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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 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_unchecked_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 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 (cla_s,simp_s);
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      in 
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        ((name, Goal.prove_global 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.append",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.define_class (cl_name, ["HOL.type"]) []
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                [((cl_name ^ "1", [Simplifier.simp_add]), [axiom1]),
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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 thy7 ak_name;
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        val pt_name_qu = Sign.full_name 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 (cla_s,simp_s);
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      in 
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        ((name, Goal.prove_global thy7 [] [] statement proof), []) 
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      end) ak_names_types);
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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 thy ("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 csupp    = Const ("Nominal.supp", ty --> HOLogic.mk_setT T);
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          val cfinite  = Const ("Finite_Set.finite", HOLogic.mk_setT T --> HOLogic.boolT)
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          val axiom1   = HOLogic.mk_Trueprop (cfinite $ (csupp $ x));
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       in  
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        AxClass.define_class (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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       let
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         val ak_name_qu = Sign.full_name thy11 ak_name;
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         val fs_name_qu = Sign.full_name thy11 ("fs_"^ak_name);
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         val i_type1 = TFree("'x",[fs_name_qu]);
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         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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berghofe
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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 (cla_s,simp_s);
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       in 
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         ((name, Goal.prove_global 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 (cp_ax_classes,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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berghofe
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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.define_class (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 thy' (ak_name);
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	     val ak_name_qu' = Sign.full_name thy' (ak_name');
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             val cp_name_qu  = Sign.full_name thy' ("cp_"^ak_name^"_"^ak_name');
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berghofe
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             val i_type0 = TFree("'a",[cp_name_qu]);
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berghofe
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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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berghofe
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   339
             val at_type' = Logic.mk_type i_type2;
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berghofe
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   340
	     val cp_type  = Logic.mk_type i_type0;
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berghofe
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   341
             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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	     val name = "cp_"^ak_name^ "_"^ak_name'^"_inst";
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   345
             val statement = HOLogic.mk_Trueprop (ccp $ cp_type $ at_type $ at_type');
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   346
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             val proof = fn _ => EVERY [auto_tac (cla_s,simp_s), rtac cp1 1];
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berghofe
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	   in
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9c8909fc5865 Goal.prove_global;
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	     PureThy.add_thms [((name, Goal.prove_global 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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berghofe
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   352
       
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berghofe
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   353
        (* proves for every non-trivial <ak>-combination a disjointness   *)
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berghofe
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   354
        (* theorem; i.e. <ak1> != <ak2>                                   *)
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berghofe
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   355
        (* lemma ds_<ak1>_<ak2>:                                          *)
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berghofe
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   356
        (* dj TYPE(<ak1>) TYPE(<ak2>)                                     *)
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   357
        val (dj_thms, thy12d) = fold_map (fn (ak_name,T) => fn thy =>
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   358
	  fold_map (fn (ak_name',T') => fn thy' =>
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berghofe
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   359
          (if not (ak_name = ak_name') 
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berghofe
parents:
diff changeset
   360
           then 
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berghofe
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diff changeset
   361
	       let
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   362
		 val ak_name_qu  = Sign.full_name thy' ak_name;
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diff changeset
   363
	         val ak_name_qu' = Sign.full_name thy' ak_name';
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berghofe
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diff changeset
   364
                 val i_type1 = Type(ak_name_qu,[]);
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berghofe
parents:
diff changeset
   365
                 val i_type2 = Type(ak_name_qu',[]);
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2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
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   366
	         val cdj = Const ("Nominal.disjoint",
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berghofe
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   367
                           (Term.itselfT i_type1)-->(Term.itselfT i_type2)-->HOLogic.boolT);
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berghofe
parents:
diff changeset
   368
                 val at_type  = Logic.mk_type i_type1;
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berghofe
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diff changeset
   369
                 val at_type' = Logic.mk_type i_type2;
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berghofe
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   370
                 val simp_s = HOL_basic_ss addsimps PureThy.get_thmss thy' 
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berghofe
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diff changeset
   371
					   [Name "disjoint_def",
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berghofe
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   372
                                            Name (ak_name^"_prm_"^ak_name'^"_def"),
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berghofe
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diff changeset
   373
                                            Name (ak_name'^"_prm_"^ak_name^"_def")];
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berghofe
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diff changeset
   374
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berghofe
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   375
	         val name = "dj_"^ak_name^"_"^ak_name';
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berghofe
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diff changeset
   376
                 val statement = HOLogic.mk_Trueprop (cdj $ at_type $ at_type');
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berghofe
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diff changeset
   377
23894
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
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   378
                 val proof = fn _ => auto_tac (cla_s,simp_s);
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berghofe
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diff changeset
   379
	       in
20046
9c8909fc5865 Goal.prove_global;
wenzelm
parents: 19993
diff changeset
   380
		PureThy.add_thms [((name, Goal.prove_global thy' [] [] statement proof), [])] thy'
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berghofe
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diff changeset
   381
	       end
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berghofe
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diff changeset
   382
           else 
18381
246807ef6dfb changed the types in accordance with Florian's changes
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diff changeset
   383
            ([],thy')))  (* do nothing branch, if ak_name = ak_name' *) 
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diff changeset
   384
	    ak_names_types thy) ak_names_types thy12c;
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berghofe
parents:
diff changeset
   385
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   386
     (********  pt_<ak> class instances  ********)
18068
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berghofe
parents:
diff changeset
   387
     (*=========================================*)
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   388
     (* some abbreviations for theorems *)
23894
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   389
      val pt1           = @{thm "pt1"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   390
      val pt2           = @{thm "pt2"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   391
      val pt3           = @{thm "pt3"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   392
      val at_pt_inst    = @{thm "at_pt_inst"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   393
      val pt_set_inst   = @{thm "pt_set_inst"}; 
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   394
      val pt_unit_inst  = @{thm "pt_unit_inst"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   395
      val pt_prod_inst  = @{thm "pt_prod_inst"}; 
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   396
      val pt_nprod_inst = @{thm "pt_nprod_inst"}; 
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   397
      val pt_list_inst  = @{thm "pt_list_inst"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   398
      val pt_optn_inst  = @{thm "pt_option_inst"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   399
      val pt_noptn_inst = @{thm "pt_noption_inst"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   400
      val pt_fun_inst   = @{thm "pt_fun_inst"};
18068
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berghofe
parents:
diff changeset
   401
18435
318d2c271040 tuned one comment
urbanc
parents: 18432
diff changeset
   402
     (* for all atom-kind combinations <ak>/<ak'> show that        *)
318d2c271040 tuned one comment
urbanc
parents: 18432
diff changeset
   403
     (* every <ak> is an instance of pt_<ak'>; the proof for       *)
318d2c271040 tuned one comment
urbanc
parents: 18432
diff changeset
   404
     (* ak!=ak' is by definition; the case ak=ak' uses at_pt_inst. *)
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   405
     val thy13 = fold (fn ak_name => fn thy =>
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   406
	fold (fn ak_name' => fn thy' =>
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   407
         let
21289
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   408
           val qu_name =  Sign.full_name thy' ak_name';
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   409
           val cls_name = Sign.full_name thy' ("pt_"^ak_name);
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   410
           val at_inst  = PureThy.get_thm thy' (Name ("at_"^ak_name'^"_inst")); 
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   411
19133
7e84a1a3741c Adapted to Florian's recent changes to the AxClass package.
berghofe
parents: 18759
diff changeset
   412
           val proof1 = EVERY [ClassPackage.intro_classes_tac [],
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   413
                                 rtac ((at_inst RS at_pt_inst) RS pt1) 1,
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   414
                                 rtac ((at_inst RS at_pt_inst) RS pt2) 1,
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   415
                                 rtac ((at_inst RS at_pt_inst) RS pt3) 1,
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   416
                                 atac 1];
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   417
           val simp_s = HOL_basic_ss addsimps 
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   418
                        PureThy.get_thmss thy' [Name (ak_name^"_prm_"^ak_name'^"_def")];  
19133
7e84a1a3741c Adapted to Florian's recent changes to the AxClass package.
berghofe
parents: 18759
diff changeset
   419
           val proof2 = EVERY [ClassPackage.intro_classes_tac [], REPEAT (asm_simp_tac simp_s 1)];
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   420
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   421
         in
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   422
           thy'
19275
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   423
           |> AxClass.prove_arity (qu_name,[],[cls_name])
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   424
              (if ak_name = ak_name' then proof1 else proof2)
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   425
         end) ak_names thy) ak_names thy12c;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   426
18430
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   427
     (* show that                       *)
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   428
     (*      fun(pt_<ak>,pt_<ak>)       *)
18579
002d371401f5 changed the name of the type "nOption" to "noption".
urbanc
parents: 18438
diff changeset
   429
     (*      noption(pt_<ak>)           *)
18430
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   430
     (*      option(pt_<ak>)            *)
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   431
     (*      list(pt_<ak>)              *)
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   432
     (*      *(pt_<ak>,pt_<ak>)         *)
18600
20ad06db427b added private datatype nprod (copy of prod) to be
urbanc
parents: 18579
diff changeset
   433
     (*      nprod(pt_<ak>,pt_<ak>)     *)
18430
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   434
     (*      unit                       *)
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   435
     (*      set(pt_<ak>)               *)
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   436
     (* are instances of pt_<ak>        *)
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   437
     val thy18 = fold (fn ak_name => fn thy =>
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   438
       let
21289
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   439
          val cls_name = Sign.full_name thy ("pt_"^ak_name);
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   440
          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
   441
          val pt_inst  = PureThy.get_thm thy (Name ("pt_"^ak_name^"_inst"));
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   442
18430
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   443
          fun pt_proof thm = 
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   444
              EVERY [ClassPackage.intro_classes_tac [],
18430
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   445
                     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
   446
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   447
          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
   448
          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
   449
          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
   450
          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
   451
          val pt_thm_prod  = pt_inst RS (pt_inst RS pt_prod_inst);
18600
20ad06db427b added private datatype nprod (copy of prod) to be
urbanc
parents: 18579
diff changeset
   452
          val pt_thm_nprod = pt_inst RS (pt_inst RS pt_nprod_inst);
18430
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   453
          val pt_thm_unit  = pt_unit_inst;
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   454
          val pt_thm_set   = pt_inst RS pt_set_inst
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   455
       in
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   456
        thy
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   457
        |> AxClass.prove_arity ("fun",[[cls_name],[cls_name]],[cls_name]) (pt_proof pt_thm_fun)
19494
2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
parents: 19488
diff changeset
   458
        |> AxClass.prove_arity ("Nominal.noption",[[cls_name]],[cls_name]) (pt_proof pt_thm_noptn) 
19275
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   459
        |> AxClass.prove_arity ("Datatype.option",[[cls_name]],[cls_name]) (pt_proof pt_thm_optn)
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   460
        |> AxClass.prove_arity ("List.list",[[cls_name]],[cls_name]) (pt_proof pt_thm_list)
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   461
        |> AxClass.prove_arity ("*",[[cls_name],[cls_name]],[cls_name]) (pt_proof pt_thm_prod)
19494
2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
parents: 19488
diff changeset
   462
        |> AxClass.prove_arity ("Nominal.nprod",[[cls_name],[cls_name]],[cls_name]) 
18600
20ad06db427b added private datatype nprod (copy of prod) to be
urbanc
parents: 18579
diff changeset
   463
                                    (pt_proof pt_thm_nprod)
19275
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   464
        |> AxClass.prove_arity ("Product_Type.unit",[],[cls_name]) (pt_proof pt_thm_unit)
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   465
        |> AxClass.prove_arity ("set",[[cls_name]],[cls_name]) (pt_proof pt_thm_set)
18430
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   466
     end) ak_names thy13; 
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   467
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   468
       (********  fs_<ak> class instances  ********)
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   469
       (*=========================================*)
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   470
       (* abbreviations for some lemmas *)
23894
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   471
       val fs1            = @{thm "fs1"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   472
       val fs_at_inst     = @{thm "fs_at_inst"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   473
       val fs_unit_inst   = @{thm "fs_unit_inst"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   474
       val fs_prod_inst   = @{thm "fs_prod_inst"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   475
       val fs_nprod_inst  = @{thm "fs_nprod_inst"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   476
       val fs_list_inst   = @{thm "fs_list_inst"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   477
       val fs_option_inst = @{thm "fs_option_inst"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   478
       val dj_supp        = @{thm "dj_supp"};
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   479
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   480
       (* shows that <ak> is an instance of fs_<ak>     *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   481
       (* uses the theorem at_<ak>_inst                 *)
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   482
       val thy20 = fold (fn ak_name => fn thy =>
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   483
        fold (fn ak_name' => fn thy' =>
18437
ee0283e5dfe3 added proofs to show that every atom-kind combination
urbanc
parents: 18436
diff changeset
   484
        let
21289
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   485
           val qu_name =  Sign.full_name thy' ak_name';
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   486
           val qu_class = Sign.full_name thy' ("fs_"^ak_name);
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   487
           val proof =
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   488
               (if ak_name = ak_name'
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   489
                then
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   490
                  let val at_thm = PureThy.get_thm thy' (Name ("at_"^ak_name^"_inst"));
19133
7e84a1a3741c Adapted to Florian's recent changes to the AxClass package.
berghofe
parents: 18759
diff changeset
   491
                  in  EVERY [ClassPackage.intro_classes_tac [],
18437
ee0283e5dfe3 added proofs to show that every atom-kind combination
urbanc
parents: 18436
diff changeset
   492
                             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
   493
                else
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   494
                  let val dj_inst = PureThy.get_thm thy' (Name ("dj_"^ak_name'^"_"^ak_name));
22274
ce1459004c8d Adapted to changes in Finite_Set theory.
berghofe
parents: 21669
diff changeset
   495
                      val simp_s = HOL_basic_ss addsimps [dj_inst RS dj_supp, finite_emptyI];
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   496
                  in EVERY [ClassPackage.intro_classes_tac [], asm_simp_tac simp_s 1] end)
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   497
        in
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   498
         AxClass.prove_arity (qu_name,[],[qu_class]) proof thy'
18437
ee0283e5dfe3 added proofs to show that every atom-kind combination
urbanc
parents: 18436
diff changeset
   499
        end) ak_names thy) ak_names thy18;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   500
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   501
       (* shows that                  *)
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   502
       (*    unit                     *)
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   503
       (*    *(fs_<ak>,fs_<ak>)       *)
18600
20ad06db427b added private datatype nprod (copy of prod) to be
urbanc
parents: 18579
diff changeset
   504
       (*    nprod(fs_<ak>,fs_<ak>)   *)
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   505
       (*    list(fs_<ak>)            *)
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   506
       (*    option(fs_<ak>)          *) 
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   507
       (* are instances of fs_<ak>    *)
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   508
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   509
       val thy24 = fold (fn ak_name => fn thy => 
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   510
        let
21289
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   511
          val cls_name = Sign.full_name thy ("fs_"^ak_name);
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   512
          val fs_inst  = PureThy.get_thm thy (Name ("fs_"^ak_name^"_inst"));
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   513
          fun fs_proof thm = EVERY [ClassPackage.intro_classes_tac [], rtac (thm RS fs1) 1];
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   514
18600
20ad06db427b added private datatype nprod (copy of prod) to be
urbanc
parents: 18579
diff changeset
   515
          val fs_thm_unit  = fs_unit_inst;
20ad06db427b added private datatype nprod (copy of prod) to be
urbanc
parents: 18579
diff changeset
   516
          val fs_thm_prod  = fs_inst RS (fs_inst RS fs_prod_inst);
20ad06db427b added private datatype nprod (copy of prod) to be
urbanc
parents: 18579
diff changeset
   517
          val fs_thm_nprod = fs_inst RS (fs_inst RS fs_nprod_inst);
20ad06db427b added private datatype nprod (copy of prod) to be
urbanc
parents: 18579
diff changeset
   518
          val fs_thm_list  = fs_inst RS fs_list_inst;
20ad06db427b added private datatype nprod (copy of prod) to be
urbanc
parents: 18579
diff changeset
   519
          val fs_thm_optn  = fs_inst RS fs_option_inst;
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   520
        in 
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   521
         thy
19275
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   522
         |> AxClass.prove_arity ("Product_Type.unit",[],[cls_name]) (fs_proof fs_thm_unit) 
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   523
         |> AxClass.prove_arity ("*",[[cls_name],[cls_name]],[cls_name]) (fs_proof fs_thm_prod) 
19494
2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
parents: 19488
diff changeset
   524
         |> AxClass.prove_arity ("Nominal.nprod",[[cls_name],[cls_name]],[cls_name]) 
18600
20ad06db427b added private datatype nprod (copy of prod) to be
urbanc
parents: 18579
diff changeset
   525
                                     (fs_proof fs_thm_nprod) 
19275
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   526
         |> AxClass.prove_arity ("List.list",[[cls_name]],[cls_name]) (fs_proof fs_thm_list)
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   527
         |> AxClass.prove_arity ("Datatype.option",[[cls_name]],[cls_name]) (fs_proof fs_thm_optn)
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   528
        end) ak_names thy20;
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   529
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   530
       (********  cp_<ak>_<ai> class instances  ********)
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   531
       (*==============================================*)
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   532
       (* abbreviations for some lemmas *)
23894
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   533
       val cp1             = @{thm "cp1"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   534
       val cp_unit_inst    = @{thm "cp_unit_inst"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   535
       val cp_bool_inst    = @{thm "cp_bool_inst"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   536
       val cp_prod_inst    = @{thm "cp_prod_inst"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   537
       val cp_list_inst    = @{thm "cp_list_inst"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   538
       val cp_fun_inst     = @{thm "cp_fun_inst"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   539
       val cp_option_inst  = @{thm "cp_option_inst"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   540
       val cp_noption_inst = @{thm "cp_noption_inst"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   541
       val cp_set_inst     = @{thm "cp_set_inst"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   542
       val pt_perm_compose = @{thm "pt_perm_compose"};
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   543
23894
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   544
       val dj_pp_forget    = @{thm "dj_perm_perm_forget"};
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   545
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   546
       (* 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
   547
       (* for every  <ak>/<ai>-combination                *)
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   548
       val thy25 = fold (fn ak_name => fn thy =>
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   549
         fold (fn ak_name' => fn thy' =>
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   550
          fold (fn ak_name'' => fn thy'' =>
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   551
            let
21289
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   552
              val name =  Sign.full_name thy'' ak_name;
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   553
              val cls_name = Sign.full_name thy'' ("cp_"^ak_name'^"_"^ak_name'');
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   554
              val proof =
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   555
                (if (ak_name'=ak_name'') then 
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   556
                  (let
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   557
                    val pt_inst  = PureThy.get_thm thy'' (Name ("pt_"^ak_name''^"_inst"));
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   558
                    val at_inst  = PureThy.get_thm thy'' (Name ("at_"^ak_name''^"_inst"));
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   559
                  in
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   560
		   EVERY [ClassPackage.intro_classes_tac [],
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   561
                          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
   562
                  end)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   563
		else
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   564
		  (let
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   565
                     val dj_inst  = PureThy.get_thm thy'' (Name ("dj_"^ak_name''^"_"^ak_name'));
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   566
		     val simp_s = HOL_basic_ss addsimps
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   567
                                        ((dj_inst RS dj_pp_forget)::
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   568
                                         (PureThy.get_thmss thy''
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   569
                                           [Name (ak_name' ^"_prm_"^ak_name^"_def"),
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   570
                                            Name (ak_name''^"_prm_"^ak_name^"_def")]));
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   571
                  in
19133
7e84a1a3741c Adapted to Florian's recent changes to the AxClass package.
berghofe
parents: 18759
diff changeset
   572
                    EVERY [ClassPackage.intro_classes_tac [], simp_tac simp_s 1]
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   573
                  end))
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   574
              in
19275
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   575
                AxClass.prove_arity (name,[],[cls_name]) proof thy''
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   576
              end) ak_names thy') ak_names thy) ak_names thy24;
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   577
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   578
       (* shows that                                                    *) 
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   579
       (*      units                                                    *) 
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   580
       (*      products                                                 *)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   581
       (*      lists                                                    *)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   582
       (*      functions                                                *)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   583
       (*      options                                                  *)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   584
       (*      noptions                                                 *)
22536
35debf264656 made the type sets instance of the "cp" type-class
urbanc
parents: 22535
diff changeset
   585
       (*      sets                                                     *)
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   586
       (* 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
   587
       val thy26 = fold (fn ak_name => fn thy =>
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
21289
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   590
            val cls_name = Sign.full_name thy' ("cp_"^ak_name^"_"^ak_name');
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   591
            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
   592
            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
   593
            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
   594
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   595
            fun cp_proof thm  = EVERY [ClassPackage.intro_classes_tac [],rtac (thm RS cp1) 1];
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   596
	  
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   597
            val cp_thm_unit = cp_unit_inst;
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   598
            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
   599
            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
   600
            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
   601
            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
   602
            val cp_thm_noptn = cp_inst RS cp_noption_inst;
22536
35debf264656 made the type sets instance of the "cp" type-class
urbanc
parents: 22535
diff changeset
   603
            val cp_thm_set = cp_inst RS cp_set_inst;
18432
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
         thy'
19275
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   606
         |> AxClass.prove_arity ("Product_Type.unit",[],[cls_name]) (cp_proof cp_thm_unit)
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   607
	 |> AxClass.prove_arity ("*",[[cls_name],[cls_name]],[cls_name]) (cp_proof cp_thm_prod)
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   608
         |> AxClass.prove_arity ("List.list",[[cls_name]],[cls_name]) (cp_proof cp_thm_list)
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   609
         |> AxClass.prove_arity ("fun",[[cls_name],[cls_name]],[cls_name]) (cp_proof cp_thm_fun)
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   610
         |> AxClass.prove_arity ("Datatype.option",[[cls_name]],[cls_name]) (cp_proof cp_thm_optn)
19494
2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
parents: 19488
diff changeset
   611
         |> AxClass.prove_arity ("Nominal.noption",[[cls_name]],[cls_name]) (cp_proof cp_thm_noptn)
22536
35debf264656 made the type sets instance of the "cp" type-class
urbanc
parents: 22535
diff changeset
   612
         |> AxClass.prove_arity ("set",[[cls_name]],[cls_name]) (cp_proof cp_thm_set)
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   613
        end) ak_names thy) ak_names thy25;
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   614
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   615
     (* show that discrete nominal types are permutation types, finitely     *)
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   616
     (* supported and have the commutation property                          *)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   617
     (* discrete types have a permutation operation defined as pi o x = x;   *)
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   618
     (* which renders the proofs to be simple "simp_all"-proofs.             *)
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   619
     val thy32 =
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   620
        let
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   621
	  fun discrete_pt_inst discrete_ty defn =
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   622
	     fold (fn ak_name => fn thy =>
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   623
	     let
21289
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   624
	       val qu_class = Sign.full_name thy ("pt_"^ak_name);
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   625
	       val simp_s = HOL_basic_ss addsimps [defn];
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   626
               val proof = EVERY [ClassPackage.intro_classes_tac [], REPEAT (asm_simp_tac simp_s 1)];
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   627
             in 
19275
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   628
	       AxClass.prove_arity (discrete_ty,[],[qu_class]) proof thy
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   629
             end) ak_names;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   630
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   631
          fun discrete_fs_inst discrete_ty defn = 
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   632
	     fold (fn ak_name => fn thy =>
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   633
	     let
21289
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   634
	       val qu_class = Sign.full_name thy ("fs_"^ak_name);
23894
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   635
	       val supp_def = @{thm "Nominal.supp_def"};
22274
ce1459004c8d Adapted to changes in Finite_Set theory.
berghofe
parents: 21669
diff changeset
   636
               val simp_s = HOL_ss addsimps [supp_def,Collect_const,finite_emptyI,defn];
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   637
               val proof = EVERY [ClassPackage.intro_classes_tac [], asm_simp_tac simp_s 1];
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   638
             in 
19275
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   639
	       AxClass.prove_arity (discrete_ty,[],[qu_class]) proof thy
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   640
             end) ak_names;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   641
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   642
          fun discrete_cp_inst discrete_ty defn = 
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   643
	     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
   644
	     let
21289
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   645
	       val qu_class = Sign.full_name thy ("cp_"^ak_name^"_"^ak_name');
23894
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   646
	       val supp_def = @{thm "Nominal.supp_def"};
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   647
               val simp_s = HOL_ss addsimps [defn];
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   648
               val proof = EVERY [ClassPackage.intro_classes_tac [], asm_simp_tac simp_s 1];
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   649
             in
19275
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   650
	       AxClass.prove_arity (discrete_ty,[],[qu_class]) proof thy
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   651
             end) ak_names)) ak_names;
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   652
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   653
        in
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   654
         thy26
23894
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   655
         |> discrete_pt_inst "nat"  @{thm "perm_nat_def"}
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   656
         |> discrete_fs_inst "nat"  @{thm "perm_nat_def"}
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   657
         |> discrete_cp_inst "nat"  @{thm "perm_nat_def"}
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   658
         |> discrete_pt_inst "bool" @{thm "perm_bool"}
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   659
         |> discrete_fs_inst "bool" @{thm "perm_bool"}
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   660
         |> discrete_cp_inst "bool" @{thm "perm_bool"}
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   661
         |> discrete_pt_inst "IntDef.int" @{thm "perm_int_def"}
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   662
         |> discrete_fs_inst "IntDef.int" @{thm "perm_int_def"}
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   663
         |> discrete_cp_inst "IntDef.int" @{thm "perm_int_def"}
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   664
         |> discrete_pt_inst "List.char" @{thm "perm_char_def"}
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   665
         |> discrete_fs_inst "List.char" @{thm "perm_char_def"}
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   666
         |> discrete_cp_inst "List.char" @{thm "perm_char_def"}
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   667
        end;
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   668
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   669
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   670
       (* abbreviations for some lemmas *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   671
       (*===============================*)
23894
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   672
       val abs_fun_pi          = @{thm "Nominal.abs_fun_pi"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   673
       val abs_fun_pi_ineq     = @{thm "Nominal.abs_fun_pi_ineq"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   674
       val abs_fun_eq          = @{thm "Nominal.abs_fun_eq"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   675
       val abs_fun_eq'         = @{thm "Nominal.abs_fun_eq'"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   676
       val abs_fun_fresh       = @{thm "Nominal.abs_fun_fresh"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   677
       val abs_fun_fresh'      = @{thm "Nominal.abs_fun_fresh'"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   678
       val dj_perm_forget      = @{thm "Nominal.dj_perm_forget"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   679
       val dj_pp_forget        = @{thm "Nominal.dj_perm_perm_forget"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   680
       val fresh_iff           = @{thm "Nominal.fresh_abs_fun_iff"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   681
       val fresh_iff_ineq      = @{thm "Nominal.fresh_abs_fun_iff_ineq"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   682
       val abs_fun_supp        = @{thm "Nominal.abs_fun_supp"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   683
       val abs_fun_supp_ineq   = @{thm "Nominal.abs_fun_supp_ineq"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   684
       val pt_swap_bij         = @{thm "Nominal.pt_swap_bij"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   685
       val pt_swap_bij'        = @{thm "Nominal.pt_swap_bij'"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   686
       val pt_fresh_fresh      = @{thm "Nominal.pt_fresh_fresh"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   687
       val pt_bij              = @{thm "Nominal.pt_bij"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   688
       val pt_perm_compose     = @{thm "Nominal.pt_perm_compose"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   689
       val pt_perm_compose'    = @{thm "Nominal.pt_perm_compose'"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   690
       val perm_app            = @{thm "Nominal.pt_fun_app_eq"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   691
       val at_fresh            = @{thm "Nominal.at_fresh"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   692
       val at_fresh_ineq       = @{thm "Nominal.at_fresh_ineq"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   693
       val at_calc             = @{thms "Nominal.at_calc"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   694
       val at_swap_simps       = @{thms "Nominal.at_swap_simps"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   695
       val at_supp             = @{thm "Nominal.at_supp"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   696
       val dj_supp             = @{thm "Nominal.dj_supp"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   697
       val fresh_left_ineq     = @{thm "Nominal.pt_fresh_left_ineq"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   698
       val fresh_left          = @{thm "Nominal.pt_fresh_left"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   699
       val fresh_right_ineq    = @{thm "Nominal.pt_fresh_right_ineq"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   700
       val fresh_right         = @{thm "Nominal.pt_fresh_right"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   701
       val fresh_bij_ineq      = @{thm "Nominal.pt_fresh_bij_ineq"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   702
       val fresh_bij           = @{thm "Nominal.pt_fresh_bij"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   703
       val fresh_eqvt          = @{thm "Nominal.pt_fresh_eqvt"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   704
       val fresh_eqvt_ineq     = @{thm "Nominal.pt_fresh_eqvt_ineq"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   705
       val set_diff_eqvt       = @{thm "Nominal.pt_set_diff_eqvt"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   706
       val in_eqvt             = @{thm "Nominal.pt_in_eqvt"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   707
       val eq_eqvt             = @{thm "Nominal.pt_eq_eqvt"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   708
       val all_eqvt            = @{thm "Nominal.pt_all_eqvt"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   709
       val ex_eqvt             = @{thm "Nominal.pt_ex_eqvt"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   710
       val pt_pi_rev           = @{thm "Nominal.pt_pi_rev"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   711
       val pt_rev_pi           = @{thm "Nominal.pt_rev_pi"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   712
       val at_exists_fresh     = @{thm "Nominal.at_exists_fresh"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   713
       val at_exists_fresh'    = @{thm "Nominal.at_exists_fresh'"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   714
       val fresh_perm_app_ineq = @{thm "Nominal.pt_fresh_perm_app_ineq"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   715
       val fresh_perm_app      = @{thm "Nominal.pt_fresh_perm_app"};	
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   716
       val fresh_aux           = @{thm "Nominal.pt_fresh_aux"};  
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   717
       val pt_perm_supp_ineq   = @{thm "Nominal.pt_perm_supp_ineq"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   718
       val pt_perm_supp        = @{thm "Nominal.pt_perm_supp"};
22786
d8d7a53ffb63 fixes last commit
narboux
parents: 22785
diff changeset
   719
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   720
       (* 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
   721
       (* 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
   722
       (* collection of theorems) instead of thm abs_fun_pi with explicit *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   723
       (* instantiations.                                                 *)
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   724
       val (_, thy33) =
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   725
         let
18651
0cb5a8f501aa added the thms-collection "pt_id" (collection of all pt_<ak>1 lemmas)
urbanc
parents: 18626
diff changeset
   726
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   727
             (* 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
   728
             (* 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
   729
             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
   730
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   731
             (* takes two theorem lists (hopefully of the same length ;o)                *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   732
             (* produces a list of theorems of the form                                  *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   733
             (* [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
   734
             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
   735
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   736
             (* takes a theorem list of the form [l1,...,ln]              *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   737
             (* and a list of theorem lists of the form                   *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   738
             (* [[h11,...,h1m],....,[hk1,....,hkm]                        *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   739
             (* produces the list of theorem lists                        *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   740
             (* [[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
   741
             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
   742
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   743
             (* 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
   744
22418
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   745
             
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   746
             (* list of all at_inst-theorems *)
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   747
             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
   748
             (* list of all pt_inst-theorems *)
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   749
             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
   750
             (* 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
   751
             val cps = 
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   752
		 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
   753
		 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
   754
             (* list of all cp_inst-theorems that have different atom types *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   755
             val cps' = 
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   756
		let fun cps'_fun ak1 ak2 = 
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   757
		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
   758
		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
   759
             (* list of all dj_inst-theorems *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   760
             val djs = 
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   761
	       let fun djs_fun (ak1,ak2) = 
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   762
		     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
   763
	       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
   764
             (* list of all fs_inst-theorems *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   765
             val fss = map (fn ak => PureThy.get_thm thy32 (Name ("fs_"^ak^"_inst"))) ak_names
22418
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   766
             (* list of all at_inst-theorems *)
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   767
             val fs_axs = map (fn ak => PureThy.get_thm thy32 (Name ("fs_"^ak^"1"))) ak_names
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   768
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   769
             fun inst_pt thms = Library.flat (map (fn ti => instR ti pts) thms);
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   770
             fun inst_at thms = Library.flat (map (fn ti => instR ti ats) thms);
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   771
             fun inst_fs thms = Library.flat (map (fn ti => instR ti fss) thms);
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   772
             fun inst_cp thms cps = Library.flat (inst_mult thms cps);
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   773
	     fun inst_pt_at thms = inst_zip ats (inst_pt thms);
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   774
             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
   775
	     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
   776
             fun inst_pt_at_fs thms = inst_zip (inst_fs [fs1]) (inst_zip ats (inst_pt thms));
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   777
	     fun inst_pt_pt_at_cp thms =
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   778
		 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
   779
                     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
   780
		 in i_pt_pt_at_cp end;
b3e7da94b51f added a fresh_left lemma that contains all instantiation
urbanc
parents: 18381
diff changeset
   781
             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
   782
           in
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   783
            thy32 
18652
3930a060d71b rolled back the last addition since these lemmas were already
urbanc
parents: 18651
diff changeset
   784
	    |>   PureThy.add_thmss [(("alpha", inst_pt_at [abs_fun_eq]),[])]
19562
e56b3c967ae8 added the lemma abs_fun_eq' to the nominal theory,
urbanc
parents: 19548
diff changeset
   785
            ||>> PureThy.add_thmss [(("alpha'", inst_pt_at [abs_fun_eq']),[])]
23158
749b6870b1a1 introduced symmetric variants of the lemmas for alpha-equivalence
urbanc
parents: 23029
diff changeset
   786
            ||>> PureThy.add_thmss [(("alpha_fresh", inst_pt_at [abs_fun_fresh]),[])]
749b6870b1a1 introduced symmetric variants of the lemmas for alpha-equivalence
urbanc
parents: 23029
diff changeset
   787
            ||>> PureThy.add_thmss [(("alpha_fresh'", inst_pt_at [abs_fun_fresh']),[])]
22557
6775c71f1da0 added pt_bij' to the collection perm_swap and also added abs_perm to the collection of equivariance lemmas
urbanc
parents: 22536
diff changeset
   788
            ||>> PureThy.add_thmss [(("perm_swap", inst_pt_at [pt_swap_bij] @ inst_pt_at [pt_swap_bij']),[])]
22610
c8b5133045f3 tuned slightly the previous commit
urbanc
parents: 22609
diff changeset
   789
            ||>> PureThy.add_thmss [(("swap_simps", inst_at at_swap_simps),[])]	 
19139
af69e41eab5d improved the decision-procedure for permutations;
urbanc
parents: 19134
diff changeset
   790
            ||>> PureThy.add_thmss 
af69e41eab5d improved the decision-procedure for permutations;
urbanc
parents: 19134
diff changeset
   791
	      let val thms1 = inst_pt_at [pt_pi_rev];
af69e41eab5d improved the decision-procedure for permutations;
urbanc
parents: 19134
diff changeset
   792
		  val thms2 = inst_pt_at [pt_rev_pi];
af69e41eab5d improved the decision-procedure for permutations;
urbanc
parents: 19134
diff changeset
   793
              in [(("perm_pi_simp",thms1 @ thms2),[])] end
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   794
            ||>> 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
   795
            ||>> 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
   796
            ||>> PureThy.add_thmss 
9649e24bc10e added thms to perm_compose (so far only composition
urbanc
parents: 18435
diff changeset
   797
	      let val thms1 = inst_pt_at [pt_perm_compose];
9649e24bc10e added thms to perm_compose (so far only composition
urbanc
parents: 18435
diff changeset
   798
		  val thms2 = instR cp1 (Library.flat cps');
9649e24bc10e added thms to perm_compose (so far only composition
urbanc
parents: 18435
diff changeset
   799
              in [(("perm_compose",thms1 @ thms2),[])] end
19139
af69e41eab5d improved the decision-procedure for permutations;
urbanc
parents: 19134
diff changeset
   800
            ||>> PureThy.add_thmss [(("perm_compose'",inst_pt_at [pt_perm_compose']),[])] 
af69e41eab5d improved the decision-procedure for permutations;
urbanc
parents: 19134
diff changeset
   801
            ||>> PureThy.add_thmss [(("perm_app", inst_pt_at [perm_app]),[])]
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   802
            ||>> PureThy.add_thmss [(("supp_atm", (inst_at [at_supp]) @ (inst_dj [dj_supp])),[])]
19972
89c5afe4139a added more infrastructure for the recursion combinator
urbanc
parents: 19638
diff changeset
   803
            ||>> PureThy.add_thmss [(("exists_fresh", inst_at [at_exists_fresh]),[])]
21377
c29146dc14f1 replaced exists_fresh lemma with a version formulated with obtains;
urbanc
parents: 21289
diff changeset
   804
            ||>> PureThy.add_thmss [(("exists_fresh'", inst_at [at_exists_fresh']),[])]
22715
381e6c45f13b improved the equivariance lemmas for the quantifiers; had to export the lemma eqvt_force_add and eqvt_force_del in the thmdecls
urbanc
parents: 22611
diff changeset
   805
            ||>> PureThy.add_thmss [(("all_eqvt", inst_pt_at [all_eqvt]),[NominalThmDecls.eqvt_force_add])] 
381e6c45f13b improved the equivariance lemmas for the quantifiers; had to export the lemma eqvt_force_add and eqvt_force_del in the thmdecls
urbanc
parents: 22611
diff changeset
   806
            ||>> PureThy.add_thmss [(("ex_eqvt", inst_pt_at [ex_eqvt]),[NominalThmDecls.eqvt_force_add])]
19972
89c5afe4139a added more infrastructure for the recursion combinator
urbanc
parents: 19638
diff changeset
   807
            ||>> PureThy.add_thmss 
89c5afe4139a added more infrastructure for the recursion combinator
urbanc
parents: 19638
diff changeset
   808
	      let val thms1 = inst_at [at_fresh]
89c5afe4139a added more infrastructure for the recursion combinator
urbanc
parents: 19638
diff changeset
   809
		  val thms2 = inst_dj [at_fresh_ineq]
89c5afe4139a added more infrastructure for the recursion combinator
urbanc
parents: 19638
diff changeset
   810
	      in [(("fresh_atm", thms1 @ thms2),[])] end
19992
bb383dcec3d8 made calc_atm stronger by including some relative
urbanc
parents: 19972
diff changeset
   811
            ||>> PureThy.add_thmss
20377
3baf326b2b5f Removed non-trivial definitions from calc_atm theorem list.
berghofe
parents: 20179
diff changeset
   812
	      let val thms1 = filter
3baf326b2b5f Removed non-trivial definitions from calc_atm theorem list.
berghofe
parents: 20179
diff changeset
   813
                (fn th => case prop_of th of _ $ _ $ Var _ => true | _ => false)
3baf326b2b5f Removed non-trivial definitions from calc_atm theorem list.
berghofe
parents: 20179
diff changeset
   814
                (List.concat (List.concat perm_defs))
19993
e0a5783d708f added simplification rules to the fresh_guess tactic
urbanc
parents: 19992
diff changeset
   815
              in [(("calc_atm", (inst_at at_calc) @ thms1),[])] end
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   816
            ||>> PureThy.add_thmss
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   817
	      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
   818
		  and thms2 = inst_pt_pt_at_cp [abs_fun_pi_ineq]
22557
6775c71f1da0 added pt_bij' to the collection perm_swap and also added abs_perm to the collection of equivariance lemmas
urbanc
parents: 22536
diff changeset
   819
	      in [(("abs_perm", thms1 @ thms2),[NominalThmDecls.eqvt_add])] end
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   820
            ||>> PureThy.add_thmss
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   821
	      let val thms1 = inst_dj [dj_perm_forget]
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   822
		  and thms2 = inst_dj [dj_pp_forget]
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   823
              in [(("perm_dj", thms1 @ thms2),[])] end
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   824
            ||>> PureThy.add_thmss
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   825
	      let val thms1 = inst_pt_at_fs [fresh_iff]
18626
b6596f579e40 added some lemmas to the collection "abs_fresh"
urbanc
parents: 18600
diff changeset
   826
                  and thms2 = inst_pt_at [fresh_iff]
b6596f579e40 added some lemmas to the collection "abs_fresh"
urbanc
parents: 18600
diff changeset
   827
		  and thms3 = inst_pt_pt_at_cp_dj [fresh_iff_ineq]
b6596f579e40 added some lemmas to the collection "abs_fresh"
urbanc
parents: 18600
diff changeset
   828
	    in [(("abs_fresh", thms1 @ thms2 @ thms3),[])] end
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   829
	    ||>> PureThy.add_thmss
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   830
	      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
   831
		  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
   832
		  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
   833
	      in [(("abs_supp", thms1 @ thms2 @ thms3),[])] end
18396
b3e7da94b51f added a fresh_left lemma that contains all instantiation
urbanc
parents: 18381
diff changeset
   834
            ||>> PureThy.add_thmss
b3e7da94b51f added a fresh_left lemma that contains all instantiation
urbanc
parents: 18381
diff changeset
   835
	      let val thms1 = inst_pt_at [fresh_left]
b3e7da94b51f added a fresh_left lemma that contains all instantiation
urbanc
parents: 18381
diff changeset
   836
		  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
   837
	      in [(("fresh_left", thms1 @ thms2),[])] end
18426
d2303e8654a2 added container-lemma fresh_eqvt
urbanc
parents: 18396
diff changeset
   838
            ||>> PureThy.add_thmss
19548
c0a896828194 added lemma fresh_right, which is useful
urbanc
parents: 19509
diff changeset
   839
	      let val thms1 = inst_pt_at [fresh_right]
c0a896828194 added lemma fresh_right, which is useful
urbanc
parents: 19509
diff changeset
   840
		  and thms2 = inst_pt_pt_at_cp [fresh_right_ineq]
c0a896828194 added lemma fresh_right, which is useful
urbanc
parents: 19509
diff changeset
   841
	      in [(("fresh_right", thms1 @ thms2),[])] end
c0a896828194 added lemma fresh_right, which is useful
urbanc
parents: 19509
diff changeset
   842
            ||>> PureThy.add_thmss
18426
d2303e8654a2 added container-lemma fresh_eqvt
urbanc
parents: 18396
diff changeset
   843
	      let val thms1 = inst_pt_at [fresh_bij]
22418
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   844
 		  and thms2 = inst_pt_pt_at_cp [fresh_bij_ineq]
19972
89c5afe4139a added more infrastructure for the recursion combinator
urbanc
parents: 19638
diff changeset
   845
	      in [(("fresh_bij", thms1 @ thms2),[])] end
89c5afe4139a added more infrastructure for the recursion combinator
urbanc
parents: 19638
diff changeset
   846
            ||>> PureThy.add_thmss
89c5afe4139a added more infrastructure for the recursion combinator
urbanc
parents: 19638
diff changeset
   847
	      let val thms1 = inst_pt_at [fresh_eqvt]
22535
cbee450f88a6 added extended the lemma for equivariance of freshness
urbanc
parents: 22418
diff changeset
   848
                  and thms2 = inst_pt_pt_at_cp_dj [fresh_eqvt_ineq]
cbee450f88a6 added extended the lemma for equivariance of freshness
urbanc
parents: 22418
diff changeset
   849
	      in [(("fresh_eqvt", thms1 @ thms2),[NominalThmDecls.eqvt_add])] end
22418
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   850
            ||>> PureThy.add_thmss
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   851
	      let val thms1 = inst_pt_at [in_eqvt]
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   852
	      in [(("in_eqvt", thms1),[NominalThmDecls.eqvt_add])] end
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   853
  	    ||>> PureThy.add_thmss
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   854
	      let val thms1 = inst_pt_at [eq_eqvt]
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   855
	      in [(("eq_eqvt", thms1),[NominalThmDecls.eqvt_add])] end
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   856
	    ||>> PureThy.add_thmss
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   857
	      let val thms1 = inst_pt_at [set_diff_eqvt]
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   858
	      in [(("set_diff_eqvt", thms1),[NominalThmDecls.eqvt_add])] end
19638
4358b88a9d12 added the lemmas pt_fresh_aux and pt_fresh_aux_ineq
urbanc
parents: 19635
diff changeset
   859
            ||>> PureThy.add_thmss
4358b88a9d12 added the lemmas pt_fresh_aux and pt_fresh_aux_ineq
urbanc
parents: 19635
diff changeset
   860
	      let val thms1 = inst_pt_at [fresh_aux]
22786
d8d7a53ffb63 fixes last commit
narboux
parents: 22785
diff changeset
   861
		  and thms2 = inst_pt_pt_at_cp_dj [fresh_perm_app_ineq] 
d8d7a53ffb63 fixes last commit
narboux
parents: 22785
diff changeset
   862
	      in  [(("fresh_aux", thms1 @ thms2),[])] end  
22785
fab155c8ce46 add two lemmas dealing with freshness on permutations.
narboux
parents: 22768
diff changeset
   863
            ||>> PureThy.add_thmss
fab155c8ce46 add two lemmas dealing with freshness on permutations.
narboux
parents: 22768
diff changeset
   864
	      let val thms1 = inst_pt_at [fresh_perm_app]
22786
d8d7a53ffb63 fixes last commit
narboux
parents: 22785
diff changeset
   865
		  and thms2 = inst_pt_pt_at_cp_dj [fresh_perm_app_ineq] 
22794
d0f483fd57dd add the lemma supp_eqvt and put the right attribute
narboux
parents: 22786
diff changeset
   866
	      in  [(("fresh_perm_app", thms1 @ thms2),[])] end 
d0f483fd57dd add the lemma supp_eqvt and put the right attribute
narboux
parents: 22786
diff changeset
   867
            ||>> PureThy.add_thmss
d0f483fd57dd add the lemma supp_eqvt and put the right attribute
narboux
parents: 22786
diff changeset
   868
	      let val thms1 = inst_pt_at [pt_perm_supp]
d0f483fd57dd add the lemma supp_eqvt and put the right attribute
narboux
parents: 22786
diff changeset
   869
		  and thms2 = inst_pt_pt_at_cp [pt_perm_supp_ineq] 
d0f483fd57dd add the lemma supp_eqvt and put the right attribute
narboux
parents: 22786
diff changeset
   870
	      in  [(("supp_eqvt", thms1 @ thms2),[NominalThmDecls.eqvt_add])] end  
22418
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   871
            ||>> PureThy.add_thmss [(("fin_supp",fs_axs),[])]
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   872
	   end;
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   873
22418
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   874
    in 
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   875
      NominalData.map (fold Symtab.update (full_ak_names ~~ map make_atom_info
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   876
        (pt_ax_classes ~~
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   877
         fs_ax_classes ~~
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   878
         map (fn cls => full_ak_names ~~ cls) cp_ax_classes))) thy33
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   879
    end;
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   880
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   881
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   882
(* syntax und parsing *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   883
structure P = OuterParse and K = OuterKeyword;
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   884
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   885
val atom_declP =
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   886
  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
   887
    (Scan.repeat1 P.name >> (Toplevel.theory o create_nom_typedecls));
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   888
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   889
val _ = OuterSyntax.add_parsers [atom_declP];
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   890
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   891
end;