src/HOL/Nominal/nominal_atoms.ML
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(*  Title:      HOL/Nominal/nominal_atoms.ML
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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 the_atom_info : theory -> string -> atom_info
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  val fs_class_of : theory -> string -> string
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  val pt_class_of : theory -> string -> string
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  val cp_class_of : theory -> string -> string -> string
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  val at_inst_of : theory -> string -> thm
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  val pt_inst_of : theory -> string -> thm
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  val cp_inst_of : theory -> string -> string -> thm
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  val dj_thm_of : theory -> string -> string -> thm
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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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val inductive_forall_def = @{thm "induct_forall_def"};
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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 Symtab.table,
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   at_inst : thm,
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   pt_inst : thm,
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   cp_inst : thm Symtab.table,
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   dj_thms : thm Symtab.table};
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structure NominalData = Theory_Data
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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 extend = I;
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  fun merge data = Symtab.merge (K true) data;
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);
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fun make_atom_info ((((((pt_class, fs_class), cp_classes), at_inst), pt_inst), cp_inst), dj_thms) =
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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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   at_inst = at_inst,
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   pt_inst = pt_inst,
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   cp_inst = cp_inst,
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   dj_thms = dj_thms};
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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 gen_lookup lookup name = case lookup name of
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    SOME info => info
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  | NONE => error ("Unknown atom type " ^ quote name);
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fun the_atom_info thy = gen_lookup (get_atom_info thy);
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fun gen_lookup' f thy = the_atom_info thy #> f;
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fun gen_lookup'' f thy =
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  gen_lookup' (f #> Symtab.lookup #> gen_lookup) thy;
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val fs_class_of = gen_lookup' #fs_class;
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val pt_class_of = gen_lookup' #pt_class;
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val at_inst_of = gen_lookup' #at_inst;
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val pt_inst_of = gen_lookup' #pt_inst;
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val cp_class_of = gen_lookup'' #cp_classes;
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val cp_inst_of = gen_lookup'' #cp_inst;
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val dj_thm_of = gen_lookup'' #dj_thms;
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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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fun add_thms_string args = Global_Theory.add_thms ((map o apfst o apfst) Binding.name args);
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fun add_thmss_string args = Global_Theory.add_thmss ((map o apfst o apfst) Binding.name args);
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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 (_,thy1) = 
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    fold_map (fn ak => fn thy => 
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          let val dt = ((Binding.name ak, [], NoSyn), [(Binding.name ak, [@{typ nat}], NoSyn)])
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              val (dt_names, thy1) = Datatype.add_datatype Datatype.default_config [dt] thy;
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              val injects = maps (#inject o Datatype.the_info thy1) dt_names;
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              val ak_type = Type (Sign.intern_type thy1 ak,[])
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              val ak_sign = Sign.intern_const thy1 ak 
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              val inj_type = @{typ nat} --> ak_type
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              val inj_on_type = inj_type --> @{typ "nat set"} --> @{typ bool}
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              (* first statement *)
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              val stmnt1 = HOLogic.mk_Trueprop 
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                  (Const (@{const_name "inj_on"},inj_on_type) $ 
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                         Const (ak_sign,inj_type) $ HOLogic.mk_UNIV @{typ nat})
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              val simp1 = @{thm inj_on_def} :: injects;
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              val proof1 = fn _ => EVERY [simp_tac (HOL_basic_ss addsimps simp1) 1,
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                                          rtac @{thm ballI} 1,
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                                          rtac @{thm ballI} 1,
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                                          rtac @{thm impI} 1,
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                                          atac 1]
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              val (inj_thm,thy2) = 
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                   add_thms_string [((ak^"_inj",Goal.prove_global thy1 [] [] stmnt1 proof1), [])] thy1
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              (* second statement *)
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              val y = Free ("y",ak_type)  
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              val stmnt2 = HOLogic.mk_Trueprop
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                  (HOLogic.mk_exists ("x",@{typ nat},HOLogic.mk_eq (y,Const (ak_sign,inj_type) $ Bound 0)))
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              val proof2 = fn {prems, context} =>
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                Induct_Tacs.case_tac context "y" 1 THEN
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                asm_simp_tac (HOL_basic_ss addsimps simp1) 1 THEN
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                rtac @{thm exI} 1 THEN
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                rtac @{thm refl} 1
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              (* third statement *)
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              val (inject_thm,thy3) =
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                  add_thms_string [((ak^"_injection",Goal.prove_global thy2 [] [] stmnt2 proof2), [])] thy2
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              val stmnt3 = HOLogic.mk_Trueprop
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                           (HOLogic.mk_not
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                              (Const ("Finite_Set.finite", HOLogic.mk_setT ak_type --> HOLogic.boolT) $
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                                  HOLogic.mk_UNIV ak_type))
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              val simp2 = [@{thm image_def},@{thm bex_UNIV}]@inject_thm
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              val simp3 = [@{thm UNIV_def}]
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              val proof3 = fn _ => EVERY [cut_facts_tac inj_thm 1,
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                                          dtac @{thm range_inj_infinite} 1,
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                                          asm_full_simp_tac (HOL_basic_ss addsimps simp2) 1,
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                                          simp_tac (HOL_basic_ss addsimps simp3) 1]  
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              val (inf_thm,thy4) =  
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                    add_thms_string [((ak^"_infinite",Goal.prove_global thy3 [] [] stmnt3 proof3), [])] thy3
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          in 
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            ((inj_thm,inject_thm,inf_thm),thy4)
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          end) 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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    (* 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 thy' = Sign.add_path "rec" thy;
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        val swapT = HOLogic.mk_prodT (T, T) --> T --> T;
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        val swap_name = "swap_" ^ ak_name;
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        val full_swap_name = Sign.full_bname thy' swap_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 (full_swap_name, swapT);
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        val cswap = Const ("Nominal.swap", swapT)
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        val name = swap_name ^ "_def";
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        val def1 = HOLogic.mk_Trueprop (HOLogic.mk_eq
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                (Free (swap_name, swapT) $ 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' |>
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        Primrec.add_primrec_global
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          [(Binding.name swap_name, SOME swapT, NoSyn)]
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          [(Attrib.empty_binding, def1)] ||>
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        Sign.parent_path ||>>
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        Global_Theory.add_defs_unchecked true
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          [((Binding.name name, def2), [])] |>> (snd o fst)
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      end) ak_names_types thy1;
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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 thy' = Sign.add_path "rec" thy;
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        val swapT = HOLogic.mk_prodT (T, T) --> T --> T;
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        val swap_name = Sign.full_bname 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 prm = Free (prm_name, prmT);
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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 (prm $ cnil $ a, a));
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        val def2 = HOLogic.mk_Trueprop (HOLogic.mk_eq
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                   (prm $ mk_Cons x xs $ a,
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                    Const (swap_name, swapT) $ x $ (prm $ xs $ a)));
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      in
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        thy' |>
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        Primrec.add_primrec_global
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          [(Binding.name prm_name, SOME prmT, NoSyn)]
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          [(Attrib.empty_binding, def1), (Attrib.empty_binding, def2)] ||>
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        Sign.parent_path
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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 thy'' = Sign.add_path "rec" thy'
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          val cperm_def = Const (Sign.full_bname thy'' perm_def_name, mk_permT T --> T' --> T');
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          val thy''' = Sign.parent_path thy'';
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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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          Global_Theory.add_defs_unchecked true [((Binding.name 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 |> add_thms_string (map (fn (ak_name, T) =>
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      let
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        val ak_name_qu = Sign.full_bname 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_ss addsimps maps (Global_Theory.get_thms thy5)
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                                  ["at_def",
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                                   ak_name ^ "_prm_" ^ ak_name ^ "_def",
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                                   ak_name ^ "_prm_" ^ ak_name ^ ".simps",
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                                   "swap_" ^ ak_name ^ "_def",
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                                   "swap_" ^ ak_name ^ ".simps",
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                                   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 _ => simp_tac simp_s 1
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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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berghofe
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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 (Binding.name cl_name, ["HOL.type"]) []
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                [((Binding.name (cl_name ^ "1"), [Simplifier.simp_add]), [axiom1]),
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                 ((Binding.name (cl_name ^ "2"), []), [axiom2]),                           
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                 ((Binding.name (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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berghofe
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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 |> add_thms_string (map (fn (ak_name, T) =>
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      let
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        val ak_name_qu = Sign.full_bname thy7 ak_name;
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        val pt_name_qu = Sign.full_bname thy7 ("pt_"^ak_name);
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berghofe
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        val i_type1 = TFree("'x",[pt_name_qu]);
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berghofe
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   330
        val i_type2 = Type(ak_name_qu,[]);
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   331
        val cpt = Const ("Nominal.pt",(Term.itselfT i_type1)-->(Term.itselfT i_type2)-->HOLogic.boolT);
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berghofe
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   332
        val pt_type = Logic.mk_type i_type1;
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berghofe
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   333
        val at_type = Logic.mk_type i_type2;
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   334
        val simp_s = HOL_ss addsimps maps (Global_Theory.get_thms thy7)
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                                  ["pt_def",
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                                   "pt_" ^ ak_name ^ "1",
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                                   "pt_" ^ ak_name ^ "2",
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                                   "pt_" ^ ak_name ^ "3"];
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   339
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        val name = "pt_"^ak_name^ "_inst";
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   341
        val statement = HOLogic.mk_Trueprop (cpt $ pt_type $ at_type);
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   342
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        val proof = fn _ => simp_tac simp_s 1;
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      in 
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9c8909fc5865 Goal.prove_global;
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        ((name, Goal.prove_global thy7 [] [] statement proof), []) 
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berghofe
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   346
      end) ak_names_types);
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berghofe
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   347
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   348
     (* declares an fs-axclass for every atom-kind       *)
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berghofe
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   349
     (* axclass fs_<ak>                                  *)
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berghofe
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   350
     (* fs_<ak>1: finite ((supp x)::<ak> set)            *)
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   351
     val (fs_ax_classes,thy11) =  fold_map (fn (ak_name, T) => fn thy =>
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berghofe
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   352
       let 
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   353
          val cl_name = "fs_"^ak_name;
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   354
          val pt_name = Sign.full_bname thy ("pt_"^ak_name);
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berghofe
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   355
          val ty = TFree("'a",["HOL.type"]);
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berghofe
parents:
diff changeset
   356
          val x   = Free ("x", ty);
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berghofe
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   357
          val csupp    = Const ("Nominal.supp", ty --> HOLogic.mk_setT T);
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diff changeset
   358
          val cfinite  = Const ("Finite_Set.finite", HOLogic.mk_setT T --> HOLogic.boolT)
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berghofe
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diff changeset
   359
          
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berghofe
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diff changeset
   360
          val axiom1   = HOLogic.mk_Trueprop (cfinite $ (csupp $ x));
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berghofe
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   361
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berghofe
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diff changeset
   362
       in  
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parents: 30235
diff changeset
   363
        AxClass.define_class (Binding.name cl_name, [pt_name]) []
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parents: 30235
diff changeset
   364
          [((Binding.name (cl_name ^ "1"), []), [axiom1])] thy
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parents: 18437
diff changeset
   365
       end) ak_names_types thy8; 
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   366
         
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   367
     (* proves that every fs_<ak>-type together with <ak>-type   *)
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berghofe
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   368
     (* instance of fs-type                                      *)
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berghofe
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   369
     (* lemma abst_<ak>_inst:                                    *)
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berghofe
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   370
     (* fs TYPE('x::pt_<ak>) TYPE (<ak>)                         *)
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diff changeset
   371
     val (fs_inst_thms,thy12) = 
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   372
       thy11 |> add_thms_string (map (fn (ak_name, T) =>
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berghofe
parents:
diff changeset
   373
       let
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parents: 28729
diff changeset
   374
         val ak_name_qu = Sign.full_bname thy11 ak_name;
1de908189869 cleaned up binding module and related code
haftmann
parents: 28729
diff changeset
   375
         val fs_name_qu = Sign.full_bname thy11 ("fs_"^ak_name);
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berghofe
parents:
diff changeset
   376
         val i_type1 = TFree("'x",[fs_name_qu]);
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berghofe
parents:
diff changeset
   377
         val i_type2 = Type(ak_name_qu,[]);
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wenzelm
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   378
         val cfs = Const ("Nominal.fs", 
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berghofe
parents:
diff changeset
   379
                                 (Term.itselfT i_type1)-->(Term.itselfT i_type2)-->HOLogic.boolT);
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berghofe
parents:
diff changeset
   380
         val fs_type = Logic.mk_type i_type1;
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berghofe
parents:
diff changeset
   381
         val at_type = Logic.mk_type i_type2;
39557
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wenzelm
parents: 37678
diff changeset
   382
         val simp_s = HOL_ss addsimps maps (Global_Theory.get_thms thy11)
26337
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wenzelm
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diff changeset
   383
                                   ["fs_def",
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wenzelm
parents: 26090
diff changeset
   384
                                    "fs_" ^ ak_name ^ "1"];
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berghofe
parents:
diff changeset
   385
    
26337
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wenzelm
parents: 26090
diff changeset
   386
         val name = "fs_"^ak_name^ "_inst";
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berghofe
parents:
diff changeset
   387
         val statement = HOLogic.mk_Trueprop (cfs $ fs_type $ at_type);
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berghofe
parents:
diff changeset
   388
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urbanc
parents: 24218
diff changeset
   389
         val proof = fn _ => simp_tac simp_s 1;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   390
       in 
20046
9c8909fc5865 Goal.prove_global;
wenzelm
parents: 19993
diff changeset
   391
         ((name, Goal.prove_global thy11 [] [] statement proof), []) 
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   392
       end) ak_names_types);
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berghofe
parents:
diff changeset
   393
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   394
       (* declares for every atom-kind combination an axclass            *)
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berghofe
parents:
diff changeset
   395
       (* cp_<ak1>_<ak2> giving a composition property                   *)
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berghofe
parents:
diff changeset
   396
       (* cp_<ak1>_<ak2>1: pi1 o pi2 o x = (pi1 o pi2) o (pi1 o x)       *)
22418
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   397
        val (cp_ax_classes,thy12b) = fold_map (fn (ak_name, T) => fn thy =>
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   398
         fold_map (fn (ak_name', T') => fn thy' =>
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   399
             let
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   400
               val cl_name = "cp_"^ak_name^"_"^ak_name';
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   401
               val ty = TFree("'a",["HOL.type"]);
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   402
               val x   = Free ("x", ty);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   403
               val pi1 = Free ("pi1", mk_permT T);
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   404
               val pi2 = Free ("pi2", mk_permT T');                  
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   405
               val cperm1 = Const ("Nominal.perm", mk_permT T  --> ty --> ty);
19494
2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
parents: 19488
diff changeset
   406
               val cperm2 = Const ("Nominal.perm", mk_permT T' --> ty --> ty);
2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
parents: 19488
diff changeset
   407
               val cperm3 = Const ("Nominal.perm", mk_permT T  --> mk_permT T' --> mk_permT T');
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   408
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   409
               val ax1   = HOLogic.mk_Trueprop 
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   410
                           (HOLogic.mk_eq (cperm1 $ pi1 $ (cperm2 $ pi2 $ x), 
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   411
                                           cperm2 $ (cperm3 $ pi1 $ pi2) $ (cperm1 $ pi1 $ x)));
26337
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wenzelm
parents: 26090
diff changeset
   412
               in  
30345
76fd85bbf139 more uniform handling of binding in packages;
wenzelm
parents: 30235
diff changeset
   413
                 AxClass.define_class (Binding.name cl_name, ["HOL.type"]) []
28965
1de908189869 cleaned up binding module and related code
haftmann
parents: 28729
diff changeset
   414
                   [((Binding.name (cl_name ^ "1"), []), [ax1])] thy'  
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   415
               end) ak_names_types thy) ak_names_types thy12;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   416
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   417
        (* proves for every <ak>-combination a cp_<ak1>_<ak2>_inst theorem;     *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   418
        (* lemma cp_<ak1>_<ak2>_inst:                                           *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   419
        (* cp TYPE('a::cp_<ak1>_<ak2>) TYPE(<ak1>) TYPE(<ak2>)                  *)
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   420
        val (cp_thms,thy12c) = fold_map (fn (ak_name, T) => fn thy =>
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   421
         fold_map (fn (ak_name', T') => fn thy' =>
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   422
           let
28965
1de908189869 cleaned up binding module and related code
haftmann
parents: 28729
diff changeset
   423
             val ak_name_qu  = Sign.full_bname thy' (ak_name);
1de908189869 cleaned up binding module and related code
haftmann
parents: 28729
diff changeset
   424
             val ak_name_qu' = Sign.full_bname thy' (ak_name');
1de908189869 cleaned up binding module and related code
haftmann
parents: 28729
diff changeset
   425
             val cp_name_qu  = Sign.full_bname thy' ("cp_"^ak_name^"_"^ak_name');
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   426
             val i_type0 = TFree("'a",[cp_name_qu]);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   427
             val i_type1 = Type(ak_name_qu,[]);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   428
             val i_type2 = Type(ak_name_qu',[]);
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   429
             val ccp = Const ("Nominal.cp",
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   430
                             (Term.itselfT i_type0)-->(Term.itselfT i_type1)-->
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   431
                                                      (Term.itselfT i_type2)-->HOLogic.boolT);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   432
             val at_type  = Logic.mk_type i_type1;
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   433
             val at_type' = Logic.mk_type i_type2;
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   434
             val cp_type  = Logic.mk_type i_type0;
39557
fe5722fce758 renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents: 37678
diff changeset
   435
             val simp_s   = HOL_basic_ss addsimps maps (Global_Theory.get_thms thy') ["cp_def"];
fe5722fce758 renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents: 37678
diff changeset
   436
             val cp1      = Global_Theory.get_thm thy' ("cp_" ^ ak_name ^ "_" ^ ak_name' ^ "1");
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   437
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   438
             val name = "cp_"^ak_name^ "_"^ak_name'^"_inst";
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   439
             val statement = HOLogic.mk_Trueprop (ccp $ cp_type $ at_type $ at_type');
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   440
24527
888d56a8d9d3 modified proofs so that they are not using claset()
urbanc
parents: 24218
diff changeset
   441
             val proof = fn _ => EVERY [simp_tac simp_s 1, 
888d56a8d9d3 modified proofs so that they are not using claset()
urbanc
parents: 24218
diff changeset
   442
                                        rtac allI 1, rtac allI 1, rtac allI 1,
888d56a8d9d3 modified proofs so that they are not using claset()
urbanc
parents: 24218
diff changeset
   443
                                        rtac cp1 1];
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   444
           in
29585
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   445
             yield_singleton add_thms_string ((name,
28729
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
   446
               Goal.prove_global thy' [] [] statement proof), []) thy'
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   447
           end) 
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   448
           ak_names_types thy) ak_names_types thy12b;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   449
       
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   450
        (* proves for every non-trivial <ak>-combination a disjointness   *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   451
        (* theorem; i.e. <ak1> != <ak2>                                   *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   452
        (* lemma ds_<ak1>_<ak2>:                                          *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   453
        (* dj TYPE(<ak1>) TYPE(<ak2>)                                     *)
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   454
        val (dj_thms, thy12d) = fold_map (fn (ak_name,T) => fn thy =>
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   455
          fold_map (fn (ak_name',T') => fn thy' =>
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   456
          (if not (ak_name = ak_name') 
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   457
           then 
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   458
               let
28965
1de908189869 cleaned up binding module and related code
haftmann
parents: 28729
diff changeset
   459
                 val ak_name_qu  = Sign.full_bname thy' ak_name;
1de908189869 cleaned up binding module and related code
haftmann
parents: 28729
diff changeset
   460
                 val ak_name_qu' = Sign.full_bname thy' ak_name';
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   461
                 val i_type1 = Type(ak_name_qu,[]);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   462
                 val i_type2 = Type(ak_name_qu',[]);
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   463
                 val cdj = Const ("Nominal.disjoint",
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   464
                           (Term.itselfT i_type1)-->(Term.itselfT i_type2)-->HOLogic.boolT);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   465
                 val at_type  = Logic.mk_type i_type1;
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   466
                 val at_type' = Logic.mk_type i_type2;
39557
fe5722fce758 renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents: 37678
diff changeset
   467
                 val simp_s = HOL_ss addsimps maps (Global_Theory.get_thms thy')
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   468
                                           ["disjoint_def",
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   469
                                            ak_name ^ "_prm_" ^ ak_name' ^ "_def",
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   470
                                            ak_name' ^ "_prm_" ^ ak_name ^ "_def"];
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   471
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   472
                 val name = "dj_"^ak_name^"_"^ak_name';
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   473
                 val statement = HOLogic.mk_Trueprop (cdj $ at_type $ at_type');
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   474
24527
888d56a8d9d3 modified proofs so that they are not using claset()
urbanc
parents: 24218
diff changeset
   475
                 val proof = fn _ => simp_tac simp_s 1;
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   476
               in
29585
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   477
                add_thms_string [((name, Goal.prove_global thy' [] [] statement proof), [])] thy'
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   478
               end
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   479
           else 
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   480
            ([],thy')))  (* do nothing branch, if ak_name = ak_name' *) 
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   481
            ak_names_types thy) ak_names_types thy12c;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   482
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   483
     (********  pt_<ak> class instances  ********)
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   484
     (*=========================================*)
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   485
     (* 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
   486
      val pt1           = @{thm "pt1"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   487
      val pt2           = @{thm "pt2"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   488
      val pt3           = @{thm "pt3"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   489
      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
   490
      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
   491
      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
   492
      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
   493
      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
   494
      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
   495
      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
   496
      val pt_fun_inst   = @{thm "pt_fun_inst"};
45979
296d9a9c8d24 treatment of type constructor `set`
haftmann
parents: 45839
diff changeset
   497
      val pt_set_inst   = @{thm "pt_set_inst"};
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   498
18435
318d2c271040 tuned one comment
urbanc
parents: 18432
diff changeset
   499
     (* for all atom-kind combinations <ak>/<ak'> show that        *)
318d2c271040 tuned one comment
urbanc
parents: 18432
diff changeset
   500
     (* every <ak> is an instance of pt_<ak'>; the proof for       *)
318d2c271040 tuned one comment
urbanc
parents: 18432
diff changeset
   501
     (* 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
   502
     val thy13 = fold (fn ak_name => fn thy =>
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   503
        fold (fn ak_name' => fn thy' =>
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   504
         let
28965
1de908189869 cleaned up binding module and related code
haftmann
parents: 28729
diff changeset
   505
           val qu_name =  Sign.full_bname thy' ak_name';
1de908189869 cleaned up binding module and related code
haftmann
parents: 28729
diff changeset
   506
           val cls_name = Sign.full_bname thy' ("pt_"^ak_name);
39557
fe5722fce758 renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents: 37678
diff changeset
   507
           val at_inst  = Global_Theory.get_thm thy' ("at_" ^ ak_name' ^ "_inst");
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   508
24218
fbf1646b267c ClassPackage renamed to Class
haftmann
parents: 24194
diff changeset
   509
           val proof1 = EVERY [Class.intro_classes_tac [],
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   510
                                 rtac ((at_inst RS at_pt_inst) RS pt1) 1,
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   511
                                 rtac ((at_inst RS at_pt_inst) RS pt2) 1,
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   512
                                 rtac ((at_inst RS at_pt_inst) RS pt3) 1,
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   513
                                 atac 1];
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   514
           val simp_s = HOL_basic_ss addsimps 
39557
fe5722fce758 renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents: 37678
diff changeset
   515
                        maps (Global_Theory.get_thms thy') [ak_name ^ "_prm_" ^ ak_name' ^ "_def"];  
24218
fbf1646b267c ClassPackage renamed to Class
haftmann
parents: 24194
diff changeset
   516
           val proof2 = EVERY [Class.intro_classes_tac [], REPEAT (asm_simp_tac simp_s 1)];
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   517
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   518
         in
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   519
           thy'
19275
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   520
           |> AxClass.prove_arity (qu_name,[],[cls_name])
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   521
              (if ak_name = ak_name' then proof1 else proof2)
26484
28dd7c7a9a2e eliminated non-linear access to thy1 and thy12c;
wenzelm
parents: 26398
diff changeset
   522
         end) ak_names thy) ak_names thy12d;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   523
18430
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   524
     (* show that                       *)
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   525
     (*      fun(pt_<ak>,pt_<ak>)       *)
18579
002d371401f5 changed the name of the type "nOption" to "noption".
urbanc
parents: 18438
diff changeset
   526
     (*      noption(pt_<ak>)           *)
18430
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   527
     (*      option(pt_<ak>)            *)
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   528
     (*      list(pt_<ak>)              *)
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   529
     (*      *(pt_<ak>,pt_<ak>)         *)
18600
20ad06db427b added private datatype nprod (copy of prod) to be
urbanc
parents: 18579
diff changeset
   530
     (*      nprod(pt_<ak>,pt_<ak>)     *)
18430
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   531
     (*      unit                       *)
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   532
     (*      set(pt_<ak>)               *)
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   533
     (* are instances of pt_<ak>        *)
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   534
     val thy18 = fold (fn ak_name => fn thy =>
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   535
       let
28965
1de908189869 cleaned up binding module and related code
haftmann
parents: 28729
diff changeset
   536
          val cls_name = Sign.full_bname thy ("pt_"^ak_name);
39557
fe5722fce758 renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents: 37678
diff changeset
   537
          val at_thm   = Global_Theory.get_thm thy ("at_"^ak_name^"_inst");
fe5722fce758 renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents: 37678
diff changeset
   538
          val pt_inst  = Global_Theory.get_thm thy ("pt_"^ak_name^"_inst");
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   539
18430
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   540
          fun pt_proof thm = 
24218
fbf1646b267c ClassPackage renamed to Class
haftmann
parents: 24194
diff changeset
   541
              EVERY [Class.intro_classes_tac [],
18430
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   542
                     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
   543
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   544
          val pt_thm_fun   = at_thm RS (pt_inst RS (pt_inst RS pt_fun_inst));
46180
72ee700e1d8f Corrected pt_set_inst, added missing cp_set_inst, deleted obsolete
berghofe
parents: 45979
diff changeset
   545
          val pt_thm_set   = pt_inst RS pt_set_inst;
18430
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   546
          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
   547
          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
   548
          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
   549
          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
   550
          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
   551
          val pt_thm_unit  = pt_unit_inst;
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   552
       in
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   553
        thy
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   554
        |> AxClass.prove_arity ("fun",[[cls_name],[cls_name]],[cls_name]) (pt_proof pt_thm_fun)
45979
296d9a9c8d24 treatment of type constructor `set`
haftmann
parents: 45839
diff changeset
   555
        |> AxClass.prove_arity (@{type_name Set.set},[[cls_name]],[cls_name]) (pt_proof pt_thm_set)
19494
2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
parents: 19488
diff changeset
   556
        |> AxClass.prove_arity ("Nominal.noption",[[cls_name]],[cls_name]) (pt_proof pt_thm_noptn) 
30235
58d147683393 Made Option a separate theory and renamed option_map to Option.map
nipkow
parents: 30086
diff changeset
   557
        |> AxClass.prove_arity ("Option.option",[[cls_name]],[cls_name]) (pt_proof pt_thm_optn)
19275
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   558
        |> AxClass.prove_arity ("List.list",[[cls_name]],[cls_name]) (pt_proof pt_thm_list)
37678
0040bafffdef "prod" and "sum" replace "*" and "+" respectively
haftmann
parents: 37391
diff changeset
   559
        |> AxClass.prove_arity (@{type_name Product_Type.prod},[[cls_name],[cls_name]],[cls_name]) (pt_proof pt_thm_prod)
19494
2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
parents: 19488
diff changeset
   560
        |> 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
   561
                                    (pt_proof pt_thm_nprod)
19275
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   562
        |> AxClass.prove_arity ("Product_Type.unit",[],[cls_name]) (pt_proof pt_thm_unit)
18430
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   563
     end) ak_names thy13; 
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   564
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   565
       (********  fs_<ak> class instances  ********)
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   566
       (*=========================================*)
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   567
       (* 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
   568
       val fs1            = @{thm "fs1"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   569
       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
   570
       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
   571
       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
   572
       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
   573
       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
   574
       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
   575
       val dj_supp        = @{thm "dj_supp"};
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   576
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   577
       (* shows that <ak> is an instance of fs_<ak>     *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   578
       (* uses the theorem at_<ak>_inst                 *)
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   579
       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
   580
        fold (fn ak_name' => fn thy' =>
18437
ee0283e5dfe3 added proofs to show that every atom-kind combination
urbanc
parents: 18436
diff changeset
   581
        let
28965
1de908189869 cleaned up binding module and related code
haftmann
parents: 28729
diff changeset
   582
           val qu_name =  Sign.full_bname thy' ak_name';
1de908189869 cleaned up binding module and related code
haftmann
parents: 28729
diff changeset
   583
           val qu_class = Sign.full_bname thy' ("fs_"^ak_name);
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   584
           val proof =
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   585
               (if ak_name = ak_name'
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   586
                then
39557
fe5722fce758 renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents: 37678
diff changeset
   587
                  let val at_thm = Global_Theory.get_thm thy' ("at_"^ak_name^"_inst");
24218
fbf1646b267c ClassPackage renamed to Class
haftmann
parents: 24194
diff changeset
   588
                  in  EVERY [Class.intro_classes_tac [],
18437
ee0283e5dfe3 added proofs to show that every atom-kind combination
urbanc
parents: 18436
diff changeset
   589
                             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
   590
                else
39557
fe5722fce758 renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents: 37678
diff changeset
   591
                  let val dj_inst = Global_Theory.get_thm thy' ("dj_"^ak_name'^"_"^ak_name);
22274
ce1459004c8d Adapted to changes in Finite_Set theory.
berghofe
parents: 21669
diff changeset
   592
                      val simp_s = HOL_basic_ss addsimps [dj_inst RS dj_supp, finite_emptyI];
24218
fbf1646b267c ClassPackage renamed to Class
haftmann
parents: 24194
diff changeset
   593
                  in EVERY [Class.intro_classes_tac [], asm_simp_tac simp_s 1] end)
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   594
        in
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   595
         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
   596
        end) ak_names thy) ak_names thy18;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   597
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   598
       (* shows that                  *)
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   599
       (*    unit                     *)
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   600
       (*    *(fs_<ak>,fs_<ak>)       *)
18600
20ad06db427b added private datatype nprod (copy of prod) to be
urbanc
parents: 18579
diff changeset
   601
       (*    nprod(fs_<ak>,fs_<ak>)   *)
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   602
       (*    list(fs_<ak>)            *)
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   603
       (*    option(fs_<ak>)          *) 
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   604
       (* are instances of fs_<ak>    *)
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   605
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   606
       val thy24 = fold (fn ak_name => fn thy => 
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   607
        let
28965
1de908189869 cleaned up binding module and related code
haftmann
parents: 28729
diff changeset
   608
          val cls_name = Sign.full_bname thy ("fs_"^ak_name);
39557
fe5722fce758 renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents: 37678
diff changeset
   609
          val fs_inst  = Global_Theory.get_thm thy ("fs_"^ak_name^"_inst");
24218
fbf1646b267c ClassPackage renamed to Class
haftmann
parents: 24194
diff changeset
   610
          fun fs_proof thm = EVERY [Class.intro_classes_tac [], rtac (thm RS fs1) 1];
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   611
18600
20ad06db427b added private datatype nprod (copy of prod) to be
urbanc
parents: 18579
diff changeset
   612
          val fs_thm_unit  = fs_unit_inst;
20ad06db427b added private datatype nprod (copy of prod) to be
urbanc
parents: 18579
diff changeset
   613
          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
   614
          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
   615
          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
   616
          val fs_thm_optn  = fs_inst RS fs_option_inst;
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   617
        in 
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   618
         thy
19275
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   619
         |> AxClass.prove_arity ("Product_Type.unit",[],[cls_name]) (fs_proof fs_thm_unit) 
37678
0040bafffdef "prod" and "sum" replace "*" and "+" respectively
haftmann
parents: 37391
diff changeset
   620
         |> AxClass.prove_arity (@{type_name Product_Type.prod},[[cls_name],[cls_name]],[cls_name]) (fs_proof fs_thm_prod) 
19494
2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
parents: 19488
diff changeset
   621
         |> 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
   622
                                     (fs_proof fs_thm_nprod) 
19275
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   623
         |> AxClass.prove_arity ("List.list",[[cls_name]],[cls_name]) (fs_proof fs_thm_list)
30235
58d147683393 Made Option a separate theory and renamed option_map to Option.map
nipkow
parents: 30086
diff changeset
   624
         |> AxClass.prove_arity ("Option.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
   625
        end) ak_names thy20;
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   626
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   627
       (********  cp_<ak>_<ai> class instances  ********)
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   628
       (*==============================================*)
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   629
       (* 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
   630
       val cp1             = @{thm "cp1"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   631
       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
   632
       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
   633
       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
   634
       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
   635
       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
   636
       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
   637
       val cp_noption_inst = @{thm "cp_noption_inst"};
46180
72ee700e1d8f Corrected pt_set_inst, added missing cp_set_inst, deleted obsolete
berghofe
parents: 45979
diff changeset
   638
       val cp_set_inst     = @{thm "cp_set_inst"};
23894
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   639
       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
   640
23894
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   641
       val dj_pp_forget    = @{thm "dj_perm_perm_forget"};
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   642
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   643
       (* 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
   644
       (* for every  <ak>/<ai>-combination                *)
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   645
       val thy25 = fold (fn ak_name => fn thy =>
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   646
         fold (fn ak_name' => fn thy' =>
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   647
          fold (fn ak_name'' => fn thy'' =>
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   648
            let
28965
1de908189869 cleaned up binding module and related code
haftmann
parents: 28729
diff changeset
   649
              val name =  Sign.full_bname thy'' ak_name;
1de908189869 cleaned up binding module and related code
haftmann
parents: 28729
diff changeset
   650
              val cls_name = Sign.full_bname thy'' ("cp_"^ak_name'^"_"^ak_name'');
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   651
              val proof =
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   652
                (if (ak_name'=ak_name'') then 
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   653
                  (let
39557
fe5722fce758 renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents: 37678
diff changeset
   654
                    val pt_inst  = Global_Theory.get_thm thy'' ("pt_"^ak_name''^"_inst");
fe5722fce758 renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents: 37678
diff changeset
   655
                    val at_inst  = Global_Theory.get_thm thy'' ("at_"^ak_name''^"_inst");
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   656
                  in
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   657
                   EVERY [Class.intro_classes_tac [],
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   658
                          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
   659
                  end)
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   660
                else
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   661
                  (let
39557
fe5722fce758 renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents: 37678
diff changeset
   662
                     val dj_inst  = Global_Theory.get_thm thy'' ("dj_"^ak_name''^"_"^ak_name');
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   663
                     val simp_s = HOL_basic_ss addsimps
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   664
                                        ((dj_inst RS dj_pp_forget)::
39557
fe5722fce758 renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents: 37678
diff changeset
   665
                                         (maps (Global_Theory.get_thms thy'')
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   666
                                           [ak_name' ^"_prm_"^ak_name^"_def",
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   667
                                            ak_name''^"_prm_"^ak_name^"_def"]));
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   668
                  in
24218
fbf1646b267c ClassPackage renamed to Class
haftmann
parents: 24194
diff changeset
   669
                    EVERY [Class.intro_classes_tac [], simp_tac simp_s 1]
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   670
                  end))
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   671
              in
19275
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   672
                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
   673
              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
   674
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   675
       (* shows that                                                    *) 
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   676
       (*      units                                                    *) 
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   677
       (*      products                                                 *)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   678
       (*      lists                                                    *)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   679
       (*      functions                                                *)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   680
       (*      options                                                  *)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   681
       (*      noptions                                                 *)
22536
35debf264656 made the type sets instance of the "cp" type-class
urbanc
parents: 22535
diff changeset
   682
       (*      sets                                                     *)
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   683
       (* 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
   684
       val thy26 = fold (fn ak_name => fn thy =>
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   685
        fold (fn ak_name' => fn thy' =>
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   686
        let
28965
1de908189869 cleaned up binding module and related code
haftmann
parents: 28729
diff changeset
   687
            val cls_name = Sign.full_bname thy' ("cp_"^ak_name^"_"^ak_name');
39557
fe5722fce758 renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents: 37678
diff changeset
   688
            val cp_inst  = Global_Theory.get_thm thy' ("cp_"^ak_name^"_"^ak_name'^"_inst");
fe5722fce758 renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents: 37678
diff changeset
   689
            val pt_inst  = Global_Theory.get_thm thy' ("pt_"^ak_name^"_inst");
fe5722fce758 renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents: 37678
diff changeset
   690
            val at_inst  = Global_Theory.get_thm thy' ("at_"^ak_name^"_inst");
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   691
24218
fbf1646b267c ClassPackage renamed to Class
haftmann
parents: 24194
diff changeset
   692
            fun cp_proof thm  = EVERY [Class.intro_classes_tac [],rtac (thm RS cp1) 1];
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   693
          
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   694
            val cp_thm_unit = cp_unit_inst;
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   695
            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
   696
            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
   697
            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
   698
            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
   699
            val cp_thm_noptn = cp_inst RS cp_noption_inst;
46180
72ee700e1d8f Corrected pt_set_inst, added missing cp_set_inst, deleted obsolete
berghofe
parents: 45979
diff changeset
   700
            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
   701
        in
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   702
         thy'
19275
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   703
         |> AxClass.prove_arity ("Product_Type.unit",[],[cls_name]) (cp_proof cp_thm_unit)
37678
0040bafffdef "prod" and "sum" replace "*" and "+" respectively
haftmann
parents: 37391
diff changeset
   704
         |> AxClass.prove_arity (@{type_name Product_Type.prod}, [[cls_name],[cls_name]],[cls_name]) (cp_proof cp_thm_prod)
19275
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   705
         |> 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
   706
         |> AxClass.prove_arity ("fun",[[cls_name],[cls_name]],[cls_name]) (cp_proof cp_thm_fun)
30235
58d147683393 Made Option a separate theory and renamed option_map to Option.map
nipkow
parents: 30086
diff changeset
   707
         |> AxClass.prove_arity ("Option.option",[[cls_name]],[cls_name]) (cp_proof cp_thm_optn)
19494
2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
parents: 19488
diff changeset
   708
         |> AxClass.prove_arity ("Nominal.noption",[[cls_name]],[cls_name]) (cp_proof cp_thm_noptn)
46180
72ee700e1d8f Corrected pt_set_inst, added missing cp_set_inst, deleted obsolete
berghofe
parents: 45979
diff changeset
   709
         |> AxClass.prove_arity (@{type_name Set.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
   710
        end) ak_names thy) ak_names thy25;
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   711
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   712
     (* 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
   713
     (* supported and have the commutation property                          *)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   714
     (* 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
   715
     (* 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
   716
     val thy32 =
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   717
        let
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   718
          fun discrete_pt_inst discrete_ty defn =
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   719
             fold (fn ak_name => fn thy =>
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   720
             let
28965
1de908189869 cleaned up binding module and related code
haftmann
parents: 28729
diff changeset
   721
               val qu_class = Sign.full_bname thy ("pt_"^ak_name);
44684
8dde3352d5c4 assert Pure equations for theorem references; tuned
haftmann
parents: 41562
diff changeset
   722
               val simp_s = HOL_basic_ss addsimps [Simpdata.mk_eq defn];
24218
fbf1646b267c ClassPackage renamed to Class
haftmann
parents: 24194
diff changeset
   723
               val proof = EVERY [Class.intro_classes_tac [], REPEAT (asm_simp_tac simp_s 1)];
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   724
             in 
44684
8dde3352d5c4 assert Pure equations for theorem references; tuned
haftmann
parents: 41562
diff changeset
   725
               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
   726
             end) ak_names;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   727
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   728
          fun discrete_fs_inst discrete_ty defn = 
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   729
             fold (fn ak_name => fn thy =>
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   730
             let
28965
1de908189869 cleaned up binding module and related code
haftmann
parents: 28729
diff changeset
   731
               val qu_class = Sign.full_bname thy ("fs_"^ak_name);
44684
8dde3352d5c4 assert Pure equations for theorem references; tuned
haftmann
parents: 41562
diff changeset
   732
               val supp_def = Simpdata.mk_eq @{thm "Nominal.supp_def"};
8dde3352d5c4 assert Pure equations for theorem references; tuned
haftmann
parents: 41562
diff changeset
   733
               val simp_s = HOL_ss addsimps [supp_def, Collect_const, finite_emptyI, Simpdata.mk_eq defn];
24218
fbf1646b267c ClassPackage renamed to Class
haftmann
parents: 24194
diff changeset
   734
               val proof = EVERY [Class.intro_classes_tac [], asm_simp_tac simp_s 1];
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   735
             in 
44684
8dde3352d5c4 assert Pure equations for theorem references; tuned
haftmann
parents: 41562
diff changeset
   736
               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
   737
             end) ak_names;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   738
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   739
          fun discrete_cp_inst discrete_ty defn = 
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   740
             fold (fn ak_name' => (fold (fn ak_name => fn thy =>
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   741
             let
28965
1de908189869 cleaned up binding module and related code
haftmann
parents: 28729
diff changeset
   742
               val qu_class = Sign.full_bname thy ("cp_"^ak_name^"_"^ak_name');
44684
8dde3352d5c4 assert Pure equations for theorem references; tuned
haftmann
parents: 41562
diff changeset
   743
               val supp_def = Simpdata.mk_eq @{thm "Nominal.supp_def"};
8dde3352d5c4 assert Pure equations for theorem references; tuned
haftmann
parents: 41562
diff changeset
   744
               val simp_s = HOL_ss addsimps [Simpdata.mk_eq defn];
24218
fbf1646b267c ClassPackage renamed to Class
haftmann
parents: 24194
diff changeset
   745
               val proof = EVERY [Class.intro_classes_tac [], asm_simp_tac simp_s 1];
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   746
             in
44684
8dde3352d5c4 assert Pure equations for theorem references; tuned
haftmann
parents: 41562
diff changeset
   747
               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
   748
             end) ak_names)) ak_names;
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   749
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   750
        in
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   751
         thy26
44684
8dde3352d5c4 assert Pure equations for theorem references; tuned
haftmann
parents: 41562
diff changeset
   752
         |> discrete_pt_inst @{type_name nat} @{thm perm_nat_def}
8dde3352d5c4 assert Pure equations for theorem references; tuned
haftmann
parents: 41562
diff changeset
   753
         |> discrete_fs_inst @{type_name nat} @{thm perm_nat_def}
8dde3352d5c4 assert Pure equations for theorem references; tuned
haftmann
parents: 41562
diff changeset
   754
         |> discrete_cp_inst @{type_name nat} @{thm perm_nat_def}
44689
f247fc952f31 tuned specifications
haftmann
parents: 44684
diff changeset
   755
         |> discrete_pt_inst @{type_name bool} @{thm perm_bool_def}
f247fc952f31 tuned specifications
haftmann
parents: 44684
diff changeset
   756
         |> discrete_fs_inst @{type_name bool} @{thm perm_bool_def}
f247fc952f31 tuned specifications
haftmann
parents: 44684
diff changeset
   757
         |> discrete_cp_inst @{type_name bool} @{thm perm_bool_def}
44684
8dde3352d5c4 assert Pure equations for theorem references; tuned
haftmann
parents: 41562
diff changeset
   758
         |> discrete_pt_inst @{type_name int} @{thm perm_int_def}
8dde3352d5c4 assert Pure equations for theorem references; tuned
haftmann
parents: 41562
diff changeset
   759
         |> discrete_fs_inst @{type_name int} @{thm perm_int_def}
8dde3352d5c4 assert Pure equations for theorem references; tuned
haftmann
parents: 41562
diff changeset
   760
         |> discrete_cp_inst @{type_name int} @{thm perm_int_def}
8dde3352d5c4 assert Pure equations for theorem references; tuned
haftmann
parents: 41562
diff changeset
   761
         |> discrete_pt_inst @{type_name char} @{thm perm_char_def}
8dde3352d5c4 assert Pure equations for theorem references; tuned
haftmann
parents: 41562
diff changeset
   762
         |> discrete_fs_inst @{type_name char} @{thm perm_char_def}
8dde3352d5c4 assert Pure equations for theorem references; tuned
haftmann
parents: 41562
diff changeset
   763
         |> discrete_cp_inst @{type_name char} @{thm perm_char_def}
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   764
        end;
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   765
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   766
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   767
       (* abbreviations for some lemmas *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   768
       (*===============================*)
23894
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   769
       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
   770
       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
   771
       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
   772
       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
   773
       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
   774
       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
   775
       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
   776
       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
   777
       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
   778
       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
   779
       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
   780
       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
   781
       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
   782
       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
   783
       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
   784
       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
   785
       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
   786
       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
   787
       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
   788
       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
   789
       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
   790
       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
   791
       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
   792
       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
   793
       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
   794
       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
   795
       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
   796
       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
   797
       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
   798
       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
   799
       val fresh_bij           = @{thm "Nominal.pt_fresh_bij"};
26773
ba8b1a8a12a7 added more infrastructure for fresh_star
urbanc
parents: 26484
diff changeset
   800
       val fresh_star_bij_ineq = @{thms "Nominal.pt_fresh_star_bij_ineq"};
ba8b1a8a12a7 added more infrastructure for fresh_star
urbanc
parents: 26484
diff changeset
   801
       val fresh_star_bij      = @{thms "Nominal.pt_fresh_star_bij"};
23894
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   802
       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
   803
       val fresh_eqvt_ineq     = @{thm "Nominal.pt_fresh_eqvt_ineq"};
30086
2023fb9fbf31 Added equivariance lemmas for fresh_star.
berghofe
parents: 29585
diff changeset
   804
       val fresh_star_eqvt     = @{thms "Nominal.pt_fresh_star_eqvt"};
2023fb9fbf31 Added equivariance lemmas for fresh_star.
berghofe
parents: 29585
diff changeset
   805
       val fresh_star_eqvt_ineq= @{thms "Nominal.pt_fresh_star_eqvt_ineq"};
23894
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   806
       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
   807
       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
   808
       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
   809
       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
   810
       val ex_eqvt             = @{thm "Nominal.pt_ex_eqvt"};
28011
90074908db16 added equivariance lemmas for ex1 and the
urbanc
parents: 27691
diff changeset
   811
       val ex1_eqvt            = @{thm "Nominal.pt_ex1_eqvt"};
90074908db16 added equivariance lemmas for ex1 and the
urbanc
parents: 27691
diff changeset
   812
       val the_eqvt            = @{thm "Nominal.pt_the_eqvt"};
23894
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   813
       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
   814
       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
   815
       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
   816
       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
   817
       val fresh_perm_app_ineq = @{thm "Nominal.pt_fresh_perm_app_ineq"};
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   818
       val fresh_perm_app      = @{thm "Nominal.pt_fresh_perm_app"};    
23894
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   819
       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
   820
       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
   821
       val pt_perm_supp        = @{thm "Nominal.pt_perm_supp"};
26090
ec111fa4f8c5 added eqvt-flag to subseteq-lemma
urbanc
parents: 25919
diff changeset
   822
       val subseteq_eqvt       = @{thm "Nominal.pt_subseteq_eqvt"};
22786
d8d7a53ffb63 fixes last commit
narboux
parents: 22785
diff changeset
   823
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   824
       (* 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
   825
       (* 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
   826
       (* collection of theorems) instead of thm abs_fun_pi with explicit *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   827
       (* instantiations.                                                 *)
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   828
       val (_, thy33) =
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   829
         let
18651
0cb5a8f501aa added the thms-collection "pt_id" (collection of all pt_<ak>1 lemmas)
urbanc
parents: 18626
diff changeset
   830
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   831
             (* 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
   832
             (* 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
   833
             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
   834
32960
69916a850301 eliminated hard tabulators, guessing at each author's individual tab-width;
wenzelm
parents: 32952
diff changeset
   835
             (* takes a theorem thm and a list of theorems [(t1,m1),..,(tn,mn)]  *)
26773
ba8b1a8a12a7 added more infrastructure for fresh_star
urbanc
parents: 26484
diff changeset
   836
             (* produces a list of theorems of the form [[t1,m1] MRS thm,..,[tn,mn] MRS thm] *) 
ba8b1a8a12a7 added more infrastructure for fresh_star
urbanc
parents: 26484
diff changeset
   837
             fun instRR thm thms = map (fn (ti,mi) => [ti,mi] MRS thm) thms;
ba8b1a8a12a7 added more infrastructure for fresh_star
urbanc
parents: 26484
diff changeset
   838
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   839
             (* takes two theorem lists (hopefully of the same length ;o)                *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   840
             (* produces a list of theorems of the form                                  *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   841
             (* [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
   842
             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
   843
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   844
             (* takes a theorem list of the form [l1,...,ln]              *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   845
             (* and a list of theorem lists of the form                   *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   846
             (* [[h11,...,h1m],....,[hk1,....,hkm]                        *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   847
             (* produces the list of theorem lists                        *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   848
             (* [[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
   849
             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
   850
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   851
             (* 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
   852
22418
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   853
             
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   854
             (* list of all at_inst-theorems *)
39557
fe5722fce758 renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents: 37678
diff changeset
   855
             val ats = map (fn ak => Global_Theory.get_thm thy32 ("at_"^ak^"_inst")) ak_names
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   856
             (* list of all pt_inst-theorems *)
39557
fe5722fce758 renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents: 37678
diff changeset
   857
             val pts = map (fn ak => Global_Theory.get_thm thy32 ("pt_"^ak^"_inst")) ak_names
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   858
             (* 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
   859
             val cps = 
39557
fe5722fce758 renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents: 37678
diff changeset
   860
                 let fun cps_fun ak1 ak2 =  Global_Theory.get_thm thy32 ("cp_"^ak1^"_"^ak2^"_inst")
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   861
                 in map (fn aki => (map (cps_fun aki) ak_names)) ak_names end; 
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   862
             (* list of all cp_inst-theorems that have different atom types *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   863
             val cps' = 
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   864
                let fun cps'_fun ak1 ak2 = 
39557
fe5722fce758 renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents: 37678
diff changeset
   865
                if ak1=ak2 then NONE else SOME (Global_Theory.get_thm thy32 ("cp_"^ak1^"_"^ak2^"_inst"))
32952
aeb1e44fbc19 replaced String.concat by implode;
wenzelm
parents: 31784
diff changeset
   866
                in map (fn aki => (map_filter 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
   867
             (* list of all dj_inst-theorems *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   868
             val djs = 
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   869
               let fun djs_fun ak1 ak2 = 
39557
fe5722fce758 renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents: 37678
diff changeset
   870
                     if ak1=ak2 then NONE else SOME(Global_Theory.get_thm thy32 ("dj_"^ak2^"_"^ak1))
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   871
               in map_filter I (map_product djs_fun ak_names ak_names) end;
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   872
             (* list of all fs_inst-theorems *)
39557
fe5722fce758 renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents: 37678
diff changeset
   873
             val fss = map (fn ak => Global_Theory.get_thm thy32 ("fs_"^ak^"_inst")) ak_names
22418
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   874
             (* list of all at_inst-theorems *)
39557
fe5722fce758 renamed structure PureThy to Pure_Thy and moved most content to Global_Theory, to emphasize that this is global-only;
wenzelm
parents: 37678
diff changeset
   875
             val fs_axs = map (fn ak => Global_Theory.get_thm thy32 ("fs_"^ak^"1")) ak_names
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   876
25538
58e8ba3b792b map_product and fold_product
haftmann
parents: 24867
diff changeset
   877
             fun inst_pt thms = maps (fn ti => instR ti pts) thms;
58e8ba3b792b map_product and fold_product
haftmann
parents: 24867
diff changeset
   878
             fun inst_at thms = maps (fn ti => instR ti ats) thms;
58e8ba3b792b map_product and fold_product
haftmann
parents: 24867
diff changeset
   879
             fun inst_fs thms = maps (fn ti => instR ti fss) thms;
58e8ba3b792b map_product and fold_product
haftmann
parents: 24867
diff changeset
   880
             fun inst_cp thms cps = flat (inst_mult thms cps);
26773
ba8b1a8a12a7 added more infrastructure for fresh_star
urbanc
parents: 26484
diff changeset
   881
             fun inst_pt_at thms = maps (fn ti => instRR ti (pts ~~ ats)) thms;
25538
58e8ba3b792b map_product and fold_product
haftmann
parents: 24867
diff changeset
   882
             fun inst_dj thms = maps (fn ti => instR ti djs) thms;
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   883
             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
   884
             fun inst_pt_at_fs thms = inst_zip (inst_fs [fs1]) (inst_zip ats (inst_pt thms));
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   885
             fun inst_pt_pt_at_cp thms =
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   886
                 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
   887
                     val i_pt_pt_at_cp = inst_cp i_pt_pt_at cps';
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   888
                 in i_pt_pt_at_cp end;
18396
b3e7da94b51f added a fresh_left lemma that contains all instantiation
urbanc
parents: 18381
diff changeset
   889
             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
   890
           in
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   891
            thy32 
29585
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   892
            |>   add_thmss_string [(("alpha", inst_pt_at [abs_fun_eq]),[])]
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   893
            ||>> add_thmss_string [(("alpha'", inst_pt_at [abs_fun_eq']),[])]
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   894
            ||>> add_thmss_string [(("alpha_fresh", inst_pt_at [abs_fun_fresh]),[])]
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   895
            ||>> add_thmss_string [(("alpha_fresh'", inst_pt_at [abs_fun_fresh']),[])]
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   896
            ||>> add_thmss_string [(("perm_swap", inst_pt_at [pt_swap_bij] @ inst_pt_at [pt_swap_bij']),[])]
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   897
            ||>> add_thmss_string 
32960
69916a850301 eliminated hard tabulators, guessing at each author's individual tab-width;
wenzelm
parents: 32952
diff changeset
   898
              let val thms1 = inst_at at_swap_simps
27399
1fb3d1219c12 added facts to lemma swap_simps and tuned lemma calc_atms
urbanc
parents: 27216
diff changeset
   899
                  and thms2 = inst_dj [dj_perm_forget]
1fb3d1219c12 added facts to lemma swap_simps and tuned lemma calc_atms
urbanc
parents: 27216
diff changeset
   900
              in [(("swap_simps", thms1 @ thms2),[])] end 
29585
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   901
            ||>> add_thmss_string 
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   902
              let val thms1 = inst_pt_at [pt_pi_rev];
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   903
                  val thms2 = inst_pt_at [pt_rev_pi];
19139
af69e41eab5d improved the decision-procedure for permutations;
urbanc
parents: 19134
diff changeset
   904
              in [(("perm_pi_simp",thms1 @ thms2),[])] end
29585
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   905
            ||>> add_thmss_string [(("perm_fresh_fresh", inst_pt_at [pt_fresh_fresh]),[])]
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   906
            ||>> add_thmss_string [(("perm_bij", inst_pt_at [pt_bij]),[])]
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   907
            ||>> add_thmss_string 
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   908
              let val thms1 = inst_pt_at [pt_perm_compose];
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   909
                  val thms2 = instR cp1 (Library.flat cps');
18436
9649e24bc10e added thms to perm_compose (so far only composition
urbanc
parents: 18435
diff changeset
   910
              in [(("perm_compose",thms1 @ thms2),[])] end
29585
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   911
            ||>> add_thmss_string [(("perm_compose'",inst_pt_at [pt_perm_compose']),[])] 
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   912
            ||>> add_thmss_string [(("perm_app", inst_pt_at [perm_app]),[])]
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   913
            ||>> add_thmss_string [(("supp_atm", (inst_at [at_supp]) @ (inst_dj [dj_supp])),[])]
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   914
            ||>> add_thmss_string [(("exists_fresh", inst_at [at_exists_fresh]),[])]
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   915
            ||>> add_thmss_string [(("exists_fresh'", inst_at [at_exists_fresh']),[])]
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   916
            ||>> add_thmss_string
24569
c80e1871098b Added equivariance lemmas for induct_forall.
berghofe
parents: 24527
diff changeset
   917
              let
c80e1871098b Added equivariance lemmas for induct_forall.
berghofe
parents: 24527
diff changeset
   918
                val thms1 = inst_pt_at [all_eqvt];
c80e1871098b Added equivariance lemmas for induct_forall.
berghofe
parents: 24527
diff changeset
   919
                val thms2 = map (fold_rule [inductive_forall_def]) thms1
c80e1871098b Added equivariance lemmas for induct_forall.
berghofe
parents: 24527
diff changeset
   920
              in
c80e1871098b Added equivariance lemmas for induct_forall.
berghofe
parents: 24527
diff changeset
   921
                [(("all_eqvt", thms1 @ thms2), [NominalThmDecls.eqvt_force_add])]
c80e1871098b Added equivariance lemmas for induct_forall.
berghofe
parents: 24527
diff changeset
   922
              end
29585
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   923
            ||>> add_thmss_string [(("ex_eqvt", inst_pt_at [ex_eqvt]),[NominalThmDecls.eqvt_force_add])]
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   924
            ||>> add_thmss_string [(("ex1_eqvt", inst_pt_at [ex1_eqvt]),[NominalThmDecls.eqvt_force_add])]
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   925
            ||>> add_thmss_string [(("the_eqvt", inst_pt_at [the_eqvt]),[NominalThmDecls.eqvt_force_add])]
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   926
            ||>> add_thmss_string 
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   927
              let val thms1 = inst_at [at_fresh]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   928
                  val thms2 = inst_dj [at_fresh_ineq]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   929
              in [(("fresh_atm", thms1 @ thms2),[])] end
29585
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   930
            ||>> add_thmss_string
27399
1fb3d1219c12 added facts to lemma swap_simps and tuned lemma calc_atms
urbanc
parents: 27216
diff changeset
   931
              let val thms1 = inst_at at_calc
1fb3d1219c12 added facts to lemma swap_simps and tuned lemma calc_atms
urbanc
parents: 27216
diff changeset
   932
                  and thms2 = inst_dj [dj_perm_forget]
1fb3d1219c12 added facts to lemma swap_simps and tuned lemma calc_atms
urbanc
parents: 27216
diff changeset
   933
              in [(("calc_atm", thms1 @ thms2),[])] end
29585
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   934
            ||>> add_thmss_string
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   935
              let val thms1 = inst_pt_at [abs_fun_pi]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   936
                  and thms2 = inst_pt_pt_at_cp [abs_fun_pi_ineq]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   937
              in [(("abs_perm", thms1 @ thms2),[NominalThmDecls.eqvt_add])] end
29585
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   938
            ||>> add_thmss_string
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   939
              let val thms1 = inst_dj [dj_perm_forget]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   940
                  and thms2 = inst_dj [dj_pp_forget]
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   941
              in [(("perm_dj", thms1 @ thms2),[])] end
29585
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   942
            ||>> add_thmss_string
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   943
              let val thms1 = inst_pt_at_fs [fresh_iff]
18626
b6596f579e40 added some lemmas to the collection "abs_fresh"
urbanc
parents: 18600
diff changeset
   944
                  and thms2 = inst_pt_at [fresh_iff]
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   945
                  and thms3 = inst_pt_pt_at_cp_dj [fresh_iff_ineq]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   946
            in [(("abs_fresh", thms1 @ thms2 @ thms3),[])] end
29585
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   947
            ||>> add_thmss_string
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   948
              let val thms1 = inst_pt_at [abs_fun_supp]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   949
                  and thms2 = inst_pt_at_fs [abs_fun_supp]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   950
                  and thms3 = inst_pt_pt_at_cp_dj [abs_fun_supp_ineq]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   951
              in [(("abs_supp", thms1 @ thms2 @ thms3),[])] end
29585
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   952
            ||>> add_thmss_string
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   953
              let val thms1 = inst_pt_at [fresh_left]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   954
                  and thms2 = inst_pt_pt_at_cp [fresh_left_ineq]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   955
              in [(("fresh_left", thms1 @ thms2),[])] end
29585
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   956
            ||>> add_thmss_string
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   957
              let val thms1 = inst_pt_at [fresh_right]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   958
                  and thms2 = inst_pt_pt_at_cp [fresh_right_ineq]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   959
              in [(("fresh_right", thms1 @ thms2),[])] end
29585
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   960
            ||>> add_thmss_string
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   961
              let val thms1 = inst_pt_at [fresh_bij]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   962
                  and thms2 = inst_pt_pt_at_cp [fresh_bij_ineq]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   963
              in [(("fresh_bij", thms1 @ thms2),[])] end
29585
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   964
            ||>> add_thmss_string
26773
ba8b1a8a12a7 added more infrastructure for fresh_star
urbanc
parents: 26484
diff changeset
   965
              let val thms1 = inst_pt_at fresh_star_bij
30086
2023fb9fbf31 Added equivariance lemmas for fresh_star.
berghofe
parents: 29585
diff changeset
   966
                  and thms2 = maps (fn ti => inst_pt_pt_at_cp [ti]) fresh_star_bij_ineq
26773
ba8b1a8a12a7 added more infrastructure for fresh_star
urbanc
parents: 26484
diff changeset
   967
              in [(("fresh_star_bij", thms1 @ thms2),[])] end
29585
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   968
            ||>> add_thmss_string
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   969
              let val thms1 = inst_pt_at [fresh_eqvt]
22535
cbee450f88a6 added extended the lemma for equivariance of freshness
urbanc
parents: 22418
diff changeset
   970
                  and thms2 = inst_pt_pt_at_cp_dj [fresh_eqvt_ineq]
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   971
              in [(("fresh_eqvt", thms1 @ thms2),[NominalThmDecls.eqvt_add])] end
29585
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   972
            ||>> add_thmss_string
30086
2023fb9fbf31 Added equivariance lemmas for fresh_star.
berghofe
parents: 29585
diff changeset
   973
              let val thms1 = inst_pt_at fresh_star_eqvt
2023fb9fbf31 Added equivariance lemmas for fresh_star.
berghofe
parents: 29585
diff changeset
   974
                  and thms2 = maps (fn ti => inst_pt_pt_at_cp_dj [ti]) fresh_star_eqvt_ineq
2023fb9fbf31 Added equivariance lemmas for fresh_star.
berghofe
parents: 29585
diff changeset
   975
              in [(("fresh_star_eqvt", thms1 @ thms2),[NominalThmDecls.eqvt_add])] end
2023fb9fbf31 Added equivariance lemmas for fresh_star.
berghofe
parents: 29585
diff changeset
   976
            ||>> add_thmss_string
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   977
              let val thms1 = inst_pt_at [in_eqvt]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   978
              in [(("in_eqvt", thms1),[NominalThmDecls.eqvt_add])] end
29585
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   979
            ||>> add_thmss_string
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   980
              let val thms1 = inst_pt_at [eq_eqvt]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   981
              in [(("eq_eqvt", thms1),[NominalThmDecls.eqvt_add])] end
29585
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   982
            ||>> add_thmss_string
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   983
              let val thms1 = inst_pt_at [set_diff_eqvt]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   984
              in [(("set_diff_eqvt", thms1),[NominalThmDecls.eqvt_add])] end
29585
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   985
            ||>> add_thmss_string
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   986
              let val thms1 = inst_pt_at [subseteq_eqvt]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   987
              in [(("subseteq_eqvt", thms1),[NominalThmDecls.eqvt_add])] end
29585
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   988
            ||>> add_thmss_string
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   989
              let val thms1 = inst_pt_at [fresh_aux]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   990
                  and thms2 = inst_pt_pt_at_cp_dj [fresh_perm_app_ineq] 
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   991
              in  [(("fresh_aux", thms1 @ thms2),[])] end  
29585
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   992
            ||>> add_thmss_string
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   993
              let val thms1 = inst_pt_at [fresh_perm_app]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   994
                  and thms2 = inst_pt_pt_at_cp_dj [fresh_perm_app_ineq] 
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   995
              in  [(("fresh_perm_app", thms1 @ thms2),[])] end 
29585
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
   996
            ||>> add_thmss_string
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   997
              let val thms1 = inst_pt_at [pt_perm_supp]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   998
                  and thms2 = inst_pt_pt_at_cp [pt_perm_supp_ineq] 
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   999
              in  [(("supp_eqvt", thms1 @ thms2),[NominalThmDecls.eqvt_add])] end  
29585
c23295521af5 binding replaces bstring
haftmann
parents: 29128
diff changeset
  1000
            ||>> add_thmss_string [(("fin_supp",fs_axs),[])]
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
  1001
           end;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
  1002
22418
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
  1003
    in 
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
  1004
      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
  1005
        (pt_ax_classes ~~
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
  1006
         fs_ax_classes ~~
28729
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
  1007
         map (fn cls => Symtab.make (full_ak_names ~~ cls)) cp_ax_classes ~~
28372
291e7a158e95 Added some more theorems to NominalData.
berghofe
parents: 28083
diff changeset
  1008
         prm_cons_thms ~~ prm_inst_thms ~~
28729
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
  1009
         map (fn ths => Symtab.make (full_ak_names ~~ ths)) cp_thms ~~
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
  1010
         map (fn thss => Symtab.make
32952
aeb1e44fbc19 replaced String.concat by implode;
wenzelm
parents: 31784
diff changeset
  1011
           (map_filter (fn (s, [th]) => SOME (s, th) | _ => NONE)
28729
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
  1012
              (full_ak_names ~~ thss))) dj_thms))) thy33
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
  1013
    end;
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
  1014
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
  1015
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
  1016
(* syntax und parsing *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
  1017
24867
e5b55d7be9bb simplified interfaces for outer syntax;
wenzelm
parents: 24712
diff changeset
  1018
val _ =
46961
5c6955f487e5 outer syntax command definitions based on formal command_spec derived from theory header declarations;
wenzelm
parents: 46180
diff changeset
  1019
  Outer_Syntax.command @{command_spec "atom_decl"} "declare new kinds of atoms"
36960
01594f816e3a prefer structure Keyword, Parse, Parse_Spec, Outer_Syntax;
wenzelm
parents: 33522
diff changeset
  1020
    (Scan.repeat1 Parse.name >> (Toplevel.theory o create_nom_typedecls));
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
  1021
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
  1022
end;