src/HOL/Nominal/nominal_atoms.ML
author berghofe
Mon, 10 Nov 2008 17:34:26 +0100
changeset 28729 cfd169f1dae2
parent 28372 291e7a158e95
child 28965 1de908189869
permissions -rw-r--r--
Some more functions for accessing information about atoms.
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
     1
(*  title:      HOL/Nominal/nominal_atoms.ML
19494
2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
parents: 19488
diff changeset
     2
    ID:         $Id$
2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
parents: 19488
diff changeset
     3
    Author:     Christian Urban and Stefan Berghofer, TU Muenchen
2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
parents: 19488
diff changeset
     4
2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
parents: 19488
diff changeset
     5
Declaration of atom types to be used in nominal datatypes.
2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
parents: 19488
diff changeset
     6
*)
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
     7
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
     8
signature NOMINAL_ATOMS =
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
     9
sig
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
    10
  val create_nom_typedecls : string list -> theory -> theory
22418
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
    11
  type atom_info
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
    12
  val get_atom_infos : theory -> atom_info Symtab.table
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
    13
  val get_atom_info : theory -> string -> atom_info option
28372
291e7a158e95 Added some more theorems to NominalData.
berghofe
parents: 28083
diff changeset
    14
  val the_atom_info : theory -> string -> atom_info
28729
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    15
  val fs_class_of : theory -> string -> string
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    16
  val pt_class_of : theory -> string -> string
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    17
  val cp_class_of : theory -> string -> string -> string
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    18
  val at_inst_of : theory -> string -> thm
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    19
  val pt_inst_of : theory -> string -> thm
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    20
  val cp_inst_of : theory -> string -> string -> thm
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    21
  val dj_thm_of : theory -> string -> string -> thm
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
    22
  val atoms_of : theory -> string list
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
    23
  val mk_permT : typ -> typ
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
    24
end
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
    25
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
    26
structure NominalAtoms : NOMINAL_ATOMS =
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
    27
struct
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
    28
23894
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
    29
val finite_emptyI = @{thm "finite.emptyI"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
    30
val Collect_const = @{thm "Collect_const"};
21669
c68717c16013 removed legacy ML bindings;
wenzelm
parents: 21377
diff changeset
    31
24569
c80e1871098b Added equivariance lemmas for induct_forall.
berghofe
parents: 24527
diff changeset
    32
val inductive_forall_def = @{thm "induct_forall_def"};
c80e1871098b Added equivariance lemmas for induct_forall.
berghofe
parents: 24527
diff changeset
    33
21669
c68717c16013 removed legacy ML bindings;
wenzelm
parents: 21377
diff changeset
    34
22846
fb79144af9a3 simplified DataFun interfaces;
wenzelm
parents: 22794
diff changeset
    35
(* theory data *)
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
    36
22418
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
    37
type atom_info =
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
    38
  {pt_class : string,
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
    39
   fs_class : string,
28729
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    40
   cp_classes : string Symtab.table,
28372
291e7a158e95 Added some more theorems to NominalData.
berghofe
parents: 28083
diff changeset
    41
   at_inst : thm,
291e7a158e95 Added some more theorems to NominalData.
berghofe
parents: 28083
diff changeset
    42
   pt_inst : thm,
28729
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    43
   cp_inst : thm Symtab.table,
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    44
   dj_thms : thm Symtab.table};
22418
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
    45
22846
fb79144af9a3 simplified DataFun interfaces;
wenzelm
parents: 22794
diff changeset
    46
structure NominalData = TheoryDataFun
fb79144af9a3 simplified DataFun interfaces;
wenzelm
parents: 22794
diff changeset
    47
(
22418
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
    48
  type T = atom_info Symtab.table;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
    49
  val empty = Symtab.empty;
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
    50
  val copy = I;
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
    51
  val extend = I;
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
    52
  fun merge _ x = Symtab.merge (K true) x;
22846
fb79144af9a3 simplified DataFun interfaces;
wenzelm
parents: 22794
diff changeset
    53
);
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
    54
28729
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    55
fun make_atom_info ((((((pt_class, fs_class), cp_classes), at_inst), pt_inst), cp_inst), dj_thms) =
22418
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
    56
  {pt_class = pt_class,
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
    57
   fs_class = fs_class,
28372
291e7a158e95 Added some more theorems to NominalData.
berghofe
parents: 28083
diff changeset
    58
   cp_classes = cp_classes,
291e7a158e95 Added some more theorems to NominalData.
berghofe
parents: 28083
diff changeset
    59
   at_inst = at_inst,
291e7a158e95 Added some more theorems to NominalData.
berghofe
parents: 28083
diff changeset
    60
   pt_inst = pt_inst,
28729
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    61
   cp_inst = cp_inst,
28372
291e7a158e95 Added some more theorems to NominalData.
berghofe
parents: 28083
diff changeset
    62
   dj_thms = dj_thms};
22418
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
    63
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
    64
val get_atom_infos = NominalData.get;
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
    65
val get_atom_info = Symtab.lookup o NominalData.get;
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
    66
28729
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    67
fun gen_lookup lookup name = case lookup name of
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    68
    SOME info => info
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    69
  | NONE => error ("Unknown atom type " ^ quote name);
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    70
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    71
fun the_atom_info thy = gen_lookup (get_atom_info thy);
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    72
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    73
fun gen_lookup' f thy = the_atom_info thy #> f;
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    74
fun gen_lookup'' f thy =
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    75
  gen_lookup' (f #> Symtab.lookup #> gen_lookup) thy;
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    76
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    77
val fs_class_of = gen_lookup' #fs_class;
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    78
val pt_class_of = gen_lookup' #pt_class;
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    79
val at_inst_of = gen_lookup' #at_inst;
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    80
val pt_inst_of = gen_lookup' #pt_inst;
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    81
val cp_class_of = gen_lookup'' #cp_classes;
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    82
val cp_inst_of = gen_lookup'' #cp_inst;
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
    83
val dj_thm_of = gen_lookup'' #dj_thms;
28372
291e7a158e95 Added some more theorems to NominalData.
berghofe
parents: 28083
diff changeset
    84
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
    85
fun atoms_of thy = map fst (Symtab.dest (NominalData.get thy));
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
    86
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
    87
fun mk_permT T = HOLogic.listT (HOLogic.mk_prodT (T, T));
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
    88
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
    89
fun mk_Cons x xs =
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
    90
  let val T = fastype_of x
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
    91
  in Const ("List.list.Cons", T --> HOLogic.listT T --> HOLogic.listT T) $ x $ xs end;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
    92
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
    93
(* this function sets up all matters related to atom-  *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
    94
(* kinds; the user specifies a list of atom-kind names *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
    95
(* atom_decl <ak1> ... <akn>                           *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
    96
fun create_nom_typedecls ak_names thy =
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
    97
  let
24527
888d56a8d9d3 modified proofs so that they are not using claset()
urbanc
parents: 24218
diff changeset
    98
    
24677
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
    99
    val (_,thy1) = 
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   100
    fold_map (fn ak => fn thy => 
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   101
          let val dt = ([],ak,NoSyn,[(ak,[@{typ nat}],NoSyn)]) 
27112
661a74bafeb7 polished interface of datatype package
haftmann
parents: 27095
diff changeset
   102
              val ({inject,case_thms,...},thy1) = DatatypePackage.add_datatype true false [ak] [dt] thy
24677
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   103
              val inject_flat = Library.flat inject
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   104
              val ak_type = Type (Sign.intern_type thy1 ak,[])
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   105
              val ak_sign = Sign.intern_const thy1 ak 
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   106
              
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   107
              val inj_type = @{typ nat}-->ak_type
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   108
              val inj_on_type = inj_type-->(@{typ "nat set"})-->@{typ bool}  
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   109
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   110
              (* first statement *)
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   111
              val stmnt1 = HOLogic.mk_Trueprop 
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   112
                  (Const (@{const_name "inj_on"},inj_on_type) $ 
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   113
                         Const (ak_sign,inj_type) $ HOLogic.mk_UNIV @{typ nat})
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   114
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   115
              val simp1 = @{thm inj_on_def}::inject_flat
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   116
              
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   117
              val proof1 = fn _ => EVERY [simp_tac (HOL_basic_ss addsimps simp1) 1,
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   118
                                          rtac @{thm ballI} 1,
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   119
                                          rtac @{thm ballI} 1,
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   120
                                          rtac @{thm impI} 1,
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   121
                                          atac 1]
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   122
             
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   123
              val (inj_thm,thy2) = 
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   124
                   PureThy.add_thms [((ak^"_inj",Goal.prove_global thy1 [] [] stmnt1 proof1), [])] thy1
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   125
              
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   126
              (* second statement *)
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   127
              val y = Free ("y",ak_type)  
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   128
              val stmnt2 = HOLogic.mk_Trueprop
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   129
                  (HOLogic.mk_exists ("x",@{typ nat},HOLogic.mk_eq (y,Const (ak_sign,inj_type) $ Bound 0)))
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   130
27128
d2374ba6c02e InductTacs.case_tac with proper context and proper declaration of local variable;
wenzelm
parents: 27112
diff changeset
   131
              val proof2 = fn {prems, context} =>
27216
dc1455f96f56 InductTacs.case_tac: removed obsolete declare, which is now part of Goal.prove;
wenzelm
parents: 27128
diff changeset
   132
                InductTacs.case_tac context "y" 1 THEN
27128
d2374ba6c02e InductTacs.case_tac with proper context and proper declaration of local variable;
wenzelm
parents: 27112
diff changeset
   133
                asm_simp_tac (HOL_basic_ss addsimps simp1) 1 THEN
d2374ba6c02e InductTacs.case_tac with proper context and proper declaration of local variable;
wenzelm
parents: 27112
diff changeset
   134
                rtac @{thm exI} 1 THEN
d2374ba6c02e InductTacs.case_tac with proper context and proper declaration of local variable;
wenzelm
parents: 27112
diff changeset
   135
                rtac @{thm refl} 1
24677
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   136
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   137
              (* third statement *)
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   138
              val (inject_thm,thy3) =
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   139
                  PureThy.add_thms [((ak^"_injection",Goal.prove_global thy2 [] [] stmnt2 proof2), [])] thy2
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   140
  
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   141
              val stmnt3 = HOLogic.mk_Trueprop
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   142
                           (HOLogic.mk_not
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   143
                              (Const ("Finite_Set.finite", HOLogic.mk_setT ak_type --> HOLogic.boolT) $
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   144
                                  HOLogic.mk_UNIV ak_type))
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   145
             
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   146
              val simp2 = [@{thm image_def},@{thm bex_UNIV}]@inject_thm
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   147
              val simp3 = [@{thm UNIV_def}]
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   148
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   149
              val proof3 = fn _ => EVERY [cut_facts_tac inj_thm 1,
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   150
                                          dtac @{thm range_inj_infinite} 1,
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   151
                                          asm_full_simp_tac (HOL_basic_ss addsimps simp2) 1,
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   152
                                          simp_tac (HOL_basic_ss addsimps simp3) 1]  
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   153
           
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   154
              val (inf_thm,thy4) =  
26484
28dd7c7a9a2e eliminated non-linear access to thy1 and thy12c;
wenzelm
parents: 26398
diff changeset
   155
                    PureThy.add_thms [((ak^"_infinite",Goal.prove_global thy3 [] [] stmnt3 proof3), [])] thy3
24677
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   156
          in 
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   157
            ((inj_thm,inject_thm,inf_thm),thy4)
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   158
          end) ak_names thy
c6295d2dce48 changed the representation of atoms to datatypes over nats
urbanc
parents: 24569
diff changeset
   159
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   160
    (* produces a list consisting of pairs:         *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   161
    (*  fst component is the atom-kind name         *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   162
    (*  snd component is its type                   *)
21289
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   163
    val full_ak_names = map (Sign.intern_type thy1) ak_names;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   164
    val ak_names_types = ak_names ~~ map (Type o rpair []) full_ak_names;
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   165
     
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   166
    (* declares a swapping function for every atom-kind, it is         *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   167
    (* const swap_<ak> :: <akT> * <akT> => <akT> => <akT>              *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   168
    (* swap_<ak> (a,b) c = (if a=c then b (else if b=c then a else c)) *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   169
    (* overloades then the general swap-function                       *) 
20179
a2f3f523c84b adaption to argument change in primrec_package
haftmann
parents: 20097
diff changeset
   170
    val (swap_eqs, thy3) = fold_map (fn (ak_name, T) => fn thy =>
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   171
      let
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   172
        val swapT = HOLogic.mk_prodT (T, T) --> T --> T;
21289
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   173
        val swap_name = Sign.full_name thy ("swap_" ^ ak_name);
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   174
        val a = Free ("a", T);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   175
        val b = Free ("b", T);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   176
        val c = Free ("c", T);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   177
        val ab = Free ("ab", HOLogic.mk_prodT (T, T))
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   178
        val cif = Const ("HOL.If", HOLogic.boolT --> T --> T --> T);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   179
        val cswap_akname = Const (swap_name, swapT);
19494
2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
parents: 19488
diff changeset
   180
        val cswap = Const ("Nominal.swap", swapT)
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   181
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   182
        val name = "swap_"^ak_name^"_def";
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   183
        val def1 = HOLogic.mk_Trueprop (HOLogic.mk_eq
20179
a2f3f523c84b adaption to argument change in primrec_package
haftmann
parents: 20097
diff changeset
   184
                (cswap_akname $ HOLogic.mk_prod (a,b) $ c,
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   185
                    cif $ HOLogic.mk_eq (a,c) $ b $ (cif $ HOLogic.mk_eq (b,c) $ a $ c)))
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   186
        val def2 = Logic.mk_equals (cswap $ ab $ c, cswap_akname $ ab $ c)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   187
      in
24712
64ed05609568 proper Sign operations instead of Theory aliases;
wenzelm
parents: 24677
diff changeset
   188
        thy |> Sign.add_consts_i [("swap_" ^ ak_name, swapT, NoSyn)] 
27691
ce171cbd4b93 PureThy: dropped note_thmss_qualified, dropped _i suffix
haftmann
parents: 27399
diff changeset
   189
            |> PureThy.add_defs_unchecked true [((name, def2),[])]
20179
a2f3f523c84b adaption to argument change in primrec_package
haftmann
parents: 20097
diff changeset
   190
            |> snd
25557
ea6b11021e79 added new primrec package
haftmann
parents: 25538
diff changeset
   191
            |> OldPrimrecPackage.add_primrec_unchecked_i "" [(("", def1),[])]
26398
fccb74555d9e removed redundant axiomatizations of XXX_infinite (fact already proven);
wenzelm
parents: 26343
diff changeset
   192
      end) ak_names_types thy1;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   193
    
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   194
    (* declares a permutation function for every atom-kind acting  *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   195
    (* on such atoms                                               *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   196
    (* const <ak>_prm_<ak> :: (<akT> * <akT>)list => akT => akT    *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   197
    (* <ak>_prm_<ak> []     a = a                                  *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   198
    (* <ak>_prm_<ak> (x#xs) a = swap_<ak> x (perm xs a)            *)
20179
a2f3f523c84b adaption to argument change in primrec_package
haftmann
parents: 20097
diff changeset
   199
    val (prm_eqs, thy4) = fold_map (fn (ak_name, T) => fn thy =>
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   200
      let
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   201
        val swapT = HOLogic.mk_prodT (T, T) --> T --> T;
21289
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   202
        val swap_name = Sign.full_name thy ("swap_" ^ ak_name)
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   203
        val prmT = mk_permT T --> T --> T;
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   204
        val prm_name = ak_name ^ "_prm_" ^ ak_name;
21289
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   205
        val qu_prm_name = Sign.full_name thy prm_name;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   206
        val x  = Free ("x", HOLogic.mk_prodT (T, T));
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   207
        val xs = Free ("xs", mk_permT T);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   208
        val a  = Free ("a", T) ;
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   209
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   210
        val cnil  = Const ("List.list.Nil", mk_permT T);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   211
        
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   212
        val def1 = HOLogic.mk_Trueprop (HOLogic.mk_eq (Const (qu_prm_name, prmT) $ cnil $ a, a));
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   213
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   214
        val def2 = HOLogic.mk_Trueprop (HOLogic.mk_eq
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   215
                   (Const (qu_prm_name, prmT) $ mk_Cons x xs $ a,
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   216
                    Const (swap_name, swapT) $ x $ (Const (qu_prm_name, prmT) $ xs $ a)));
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   217
      in
24712
64ed05609568 proper Sign operations instead of Theory aliases;
wenzelm
parents: 24677
diff changeset
   218
        thy |> Sign.add_consts_i [(prm_name, mk_permT T --> T --> T, NoSyn)] 
25557
ea6b11021e79 added new primrec package
haftmann
parents: 25538
diff changeset
   219
            |> OldPrimrecPackage.add_primrec_unchecked_i "" [(("", def1), []),(("", def2), [])]
20179
a2f3f523c84b adaption to argument change in primrec_package
haftmann
parents: 20097
diff changeset
   220
      end) ak_names_types thy3;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   221
    
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   222
    (* defines permutation functions for all combinations of atom-kinds; *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   223
    (* there are a trivial cases and non-trivial cases                   *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   224
    (* non-trivial case:                                                 *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   225
    (* <ak>_prm_<ak>_def:  perm pi a == <ak>_prm_<ak> pi a               *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   226
    (* trivial case with <ak> != <ak'>                                   *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   227
    (* <ak>_prm<ak'>_def[simp]:  perm pi a == a                          *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   228
    (*                                                                   *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   229
    (* the trivial cases are added to the simplifier, while the non-     *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   230
    (* have their own rules proved below                                 *)  
18366
78b4f225b640 Adapted to new type of PureThy.add_defs_i.
berghofe
parents: 18355
diff changeset
   231
    val (perm_defs, thy5) = fold_map (fn (ak_name, T) => fn thy =>
78b4f225b640 Adapted to new type of PureThy.add_defs_i.
berghofe
parents: 18355
diff changeset
   232
      fold_map (fn (ak_name', T') => fn thy' =>
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   233
        let
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   234
          val perm_def_name = ak_name ^ "_prm_" ^ ak_name';
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   235
          val pi = Free ("pi", mk_permT T);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   236
          val a  = Free ("a", T');
19494
2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
parents: 19488
diff changeset
   237
          val cperm = Const ("Nominal.perm", mk_permT T --> T' --> T');
21289
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   238
          val cperm_def = Const (Sign.full_name thy' perm_def_name, mk_permT T --> T' --> T');
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   239
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   240
          val name = ak_name ^ "_prm_" ^ ak_name' ^ "_def";
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   241
          val def = Logic.mk_equals
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   242
                    (cperm $ pi $ a, if ak_name = ak_name' then cperm_def $ pi $ a else a)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   243
        in
27691
ce171cbd4b93 PureThy: dropped note_thmss_qualified, dropped _i suffix
haftmann
parents: 27399
diff changeset
   244
          PureThy.add_defs_unchecked true [((name, def),[])] thy'
18366
78b4f225b640 Adapted to new type of PureThy.add_defs_i.
berghofe
parents: 18355
diff changeset
   245
        end) ak_names_types thy) ak_names_types thy4;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   246
    
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   247
    (* proves that every atom-kind is an instance of at *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   248
    (* lemma at_<ak>_inst:                              *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   249
    (* at TYPE(<ak>)                                    *)
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   250
    val (prm_cons_thms,thy6) = 
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   251
      thy5 |> PureThy.add_thms (map (fn (ak_name, T) =>
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   252
      let
21289
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   253
        val ak_name_qu = Sign.full_name thy5 (ak_name);
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   254
        val i_type = Type(ak_name_qu,[]);
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   255
        val cat = Const ("Nominal.at",(Term.itselfT i_type)  --> HOLogic.boolT);
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   256
        val at_type = Logic.mk_type i_type;
26343
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   257
        val simp_s = HOL_ss addsimps maps (PureThy.get_thms thy5)
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   258
                                  ["at_def",
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   259
                                   ak_name ^ "_prm_" ^ ak_name ^ "_def",
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   260
                                   ak_name ^ "_prm_" ^ ak_name ^ ".simps",
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   261
                                   "swap_" ^ ak_name ^ "_def",
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   262
                                   "swap_" ^ ak_name ^ ".simps",
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   263
                                   ak_name ^ "_infinite"]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   264
            
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   265
        val name = "at_"^ak_name^ "_inst";
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   266
        val statement = HOLogic.mk_Trueprop (cat $ at_type);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   267
24527
888d56a8d9d3 modified proofs so that they are not using claset()
urbanc
parents: 24218
diff changeset
   268
        val proof = fn _ => simp_tac simp_s 1
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   269
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   270
      in 
20046
9c8909fc5865 Goal.prove_global;
wenzelm
parents: 19993
diff changeset
   271
        ((name, Goal.prove_global thy5 [] [] statement proof), []) 
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   272
      end) ak_names_types);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   273
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   274
    (* declares a perm-axclass for every atom-kind               *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   275
    (* axclass pt_<ak>                                           *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   276
    (* pt_<ak>1[simp]: perm [] x = x                             *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   277
    (* pt_<ak>2:       perm (pi1@pi2) x = perm pi1 (perm pi2 x)  *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   278
    (* pt_<ak>3:       pi1 ~ pi2 ==> perm pi1 x = perm pi2 x     *)
18438
b8d867177916 made the changes according to Florian's re-arranging of
urbanc
parents: 18437
diff changeset
   279
     val (pt_ax_classes,thy7) =  fold_map (fn (ak_name, T) => fn thy =>
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   280
      let 
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   281
          val cl_name = "pt_"^ak_name;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   282
          val ty = TFree("'a",["HOL.type"]);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   283
          val x   = Free ("x", ty);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   284
          val pi1 = Free ("pi1", mk_permT T);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   285
          val pi2 = Free ("pi2", mk_permT T);
19494
2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
parents: 19488
diff changeset
   286
          val cperm = Const ("Nominal.perm", mk_permT T --> ty --> ty);
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   287
          val cnil  = Const ("List.list.Nil", mk_permT T);
23029
79ee75dc1e59 constant op @ now named append
haftmann
parents: 22846
diff changeset
   288
          val cappend = Const ("List.append",mk_permT T --> mk_permT T --> mk_permT T);
19494
2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
parents: 19488
diff changeset
   289
          val cprm_eq = Const ("Nominal.prm_eq",mk_permT T --> mk_permT T --> HOLogic.boolT);
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   290
          (* nil axiom *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   291
          val axiom1 = HOLogic.mk_Trueprop (HOLogic.mk_eq 
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   292
                       (cperm $ cnil $ x, x));
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   293
          (* append axiom *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   294
          val axiom2 = HOLogic.mk_Trueprop (HOLogic.mk_eq
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   295
                       (cperm $ (cappend $ pi1 $ pi2) $ x, cperm $ pi1 $ (cperm $ pi2 $ x)));
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   296
          (* perm-eq axiom *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   297
          val axiom3 = Logic.mk_implies
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   298
                       (HOLogic.mk_Trueprop (cprm_eq $ pi1 $ pi2),
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   299
                        HOLogic.mk_Trueprop (HOLogic.mk_eq (cperm $ pi1 $ x, cperm $ pi2 $ x)));
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   300
      in
22745
17bc6af2011e moved axclass module closer to core system
haftmann
parents: 22715
diff changeset
   301
          AxClass.define_class (cl_name, ["HOL.type"]) []
28083
103d9282a946 explicit type Name.binding for higher-specification elements;
wenzelm
parents: 28011
diff changeset
   302
                [((Name.binding (cl_name ^ "1"), [Simplifier.simp_add]), [axiom1]),
103d9282a946 explicit type Name.binding for higher-specification elements;
wenzelm
parents: 28011
diff changeset
   303
                 ((Name.binding (cl_name ^ "2"), []), [axiom2]),                           
103d9282a946 explicit type Name.binding for higher-specification elements;
wenzelm
parents: 28011
diff changeset
   304
                 ((Name.binding (cl_name ^ "3"), []), [axiom3])] thy
18438
b8d867177916 made the changes according to Florian's re-arranging of
urbanc
parents: 18437
diff changeset
   305
      end) ak_names_types thy6;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   306
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   307
    (* proves that every pt_<ak>-type together with <ak>-type *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   308
    (* instance of pt                                         *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   309
    (* lemma pt_<ak>_inst:                                    *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   310
    (* pt TYPE('x::pt_<ak>) TYPE(<ak>)                        *)
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   311
    val (prm_inst_thms,thy8) = 
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   312
      thy7 |> PureThy.add_thms (map (fn (ak_name, T) =>
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   313
      let
21289
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   314
        val ak_name_qu = Sign.full_name thy7 ak_name;
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   315
        val pt_name_qu = Sign.full_name thy7 ("pt_"^ak_name);
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   316
        val i_type1 = TFree("'x",[pt_name_qu]);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   317
        val i_type2 = Type(ak_name_qu,[]);
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   318
        val cpt = Const ("Nominal.pt",(Term.itselfT i_type1)-->(Term.itselfT i_type2)-->HOLogic.boolT);
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   319
        val pt_type = Logic.mk_type i_type1;
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   320
        val at_type = Logic.mk_type i_type2;
26343
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   321
        val simp_s = HOL_ss addsimps maps (PureThy.get_thms thy7)
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   322
                                  ["pt_def",
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   323
                                   "pt_" ^ ak_name ^ "1",
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   324
                                   "pt_" ^ ak_name ^ "2",
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   325
                                   "pt_" ^ ak_name ^ "3"];
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   326
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   327
        val name = "pt_"^ak_name^ "_inst";
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   328
        val statement = HOLogic.mk_Trueprop (cpt $ pt_type $ at_type);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   329
24527
888d56a8d9d3 modified proofs so that they are not using claset()
urbanc
parents: 24218
diff changeset
   330
        val proof = fn _ => simp_tac simp_s 1;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   331
      in 
20046
9c8909fc5865 Goal.prove_global;
wenzelm
parents: 19993
diff changeset
   332
        ((name, Goal.prove_global thy7 [] [] statement proof), []) 
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   333
      end) ak_names_types);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   334
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   335
     (* declares an fs-axclass for every atom-kind       *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   336
     (* axclass fs_<ak>                                  *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   337
     (* fs_<ak>1: finite ((supp x)::<ak> set)            *)
18438
b8d867177916 made the changes according to Florian's re-arranging of
urbanc
parents: 18437
diff changeset
   338
     val (fs_ax_classes,thy11) =  fold_map (fn (ak_name, T) => fn thy =>
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   339
       let 
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   340
          val cl_name = "fs_"^ak_name;
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   341
          val pt_name = Sign.full_name thy ("pt_"^ak_name);
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   342
          val ty = TFree("'a",["HOL.type"]);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   343
          val x   = Free ("x", ty);
19494
2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
parents: 19488
diff changeset
   344
          val csupp    = Const ("Nominal.supp", ty --> HOLogic.mk_setT T);
22274
ce1459004c8d Adapted to changes in Finite_Set theory.
berghofe
parents: 21669
diff changeset
   345
          val cfinite  = Const ("Finite_Set.finite", HOLogic.mk_setT T --> HOLogic.boolT)
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   346
          
22274
ce1459004c8d Adapted to changes in Finite_Set theory.
berghofe
parents: 21669
diff changeset
   347
          val axiom1   = HOLogic.mk_Trueprop (cfinite $ (csupp $ x));
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   348
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   349
       in  
28083
103d9282a946 explicit type Name.binding for higher-specification elements;
wenzelm
parents: 28011
diff changeset
   350
        AxClass.define_class (cl_name, [pt_name]) [] [((Name.binding (cl_name ^ "1"), []), [axiom1])] thy            
18438
b8d867177916 made the changes according to Florian's re-arranging of
urbanc
parents: 18437
diff changeset
   351
       end) ak_names_types thy8; 
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   352
         
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   353
     (* proves that every fs_<ak>-type together with <ak>-type   *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   354
     (* instance of fs-type                                      *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   355
     (* lemma abst_<ak>_inst:                                    *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   356
     (* fs TYPE('x::pt_<ak>) TYPE (<ak>)                         *)
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   357
     val (fs_inst_thms,thy12) = 
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   358
       thy11 |> PureThy.add_thms (map (fn (ak_name, T) =>
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   359
       let
21289
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   360
         val ak_name_qu = Sign.full_name thy11 ak_name;
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   361
         val fs_name_qu = Sign.full_name thy11 ("fs_"^ak_name);
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   362
         val i_type1 = TFree("'x",[fs_name_qu]);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   363
         val i_type2 = Type(ak_name_qu,[]);
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   364
         val cfs = Const ("Nominal.fs", 
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   365
                                 (Term.itselfT i_type1)-->(Term.itselfT i_type2)-->HOLogic.boolT);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   366
         val fs_type = Logic.mk_type i_type1;
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   367
         val at_type = Logic.mk_type i_type2;
26343
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   368
         val simp_s = HOL_ss addsimps maps (PureThy.get_thms thy11)
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   369
                                   ["fs_def",
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   370
                                    "fs_" ^ ak_name ^ "1"];
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   371
    
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   372
         val name = "fs_"^ak_name^ "_inst";
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   373
         val statement = HOLogic.mk_Trueprop (cfs $ fs_type $ at_type);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   374
24527
888d56a8d9d3 modified proofs so that they are not using claset()
urbanc
parents: 24218
diff changeset
   375
         val proof = fn _ => simp_tac simp_s 1;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   376
       in 
20046
9c8909fc5865 Goal.prove_global;
wenzelm
parents: 19993
diff changeset
   377
         ((name, Goal.prove_global thy11 [] [] statement proof), []) 
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   378
       end) ak_names_types);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   379
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   380
       (* declares for every atom-kind combination an axclass            *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   381
       (* cp_<ak1>_<ak2> giving a composition property                   *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   382
       (* 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
   383
        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
   384
         fold_map (fn (ak_name', T') => fn thy' =>
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   385
             let
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   386
               val cl_name = "cp_"^ak_name^"_"^ak_name';
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   387
               val ty = TFree("'a",["HOL.type"]);
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   388
               val x   = Free ("x", ty);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   389
               val pi1 = Free ("pi1", mk_permT T);
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   390
               val pi2 = Free ("pi2", mk_permT T');                  
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   391
               val cperm1 = Const ("Nominal.perm", mk_permT T  --> ty --> ty);
19494
2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
parents: 19488
diff changeset
   392
               val cperm2 = Const ("Nominal.perm", mk_permT T' --> ty --> ty);
2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
parents: 19488
diff changeset
   393
               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
   394
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   395
               val ax1   = HOLogic.mk_Trueprop 
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   396
                           (HOLogic.mk_eq (cperm1 $ pi1 $ (cperm2 $ pi2 $ x), 
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   397
                                           cperm2 $ (cperm3 $ pi1 $ pi2) $ (cperm1 $ pi1 $ x)));
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   398
               in  
28083
103d9282a946 explicit type Name.binding for higher-specification elements;
wenzelm
parents: 28011
diff changeset
   399
                 AxClass.define_class (cl_name, ["HOL.type"]) []
103d9282a946 explicit type Name.binding for higher-specification elements;
wenzelm
parents: 28011
diff changeset
   400
                   [((Name.binding (cl_name ^ "1"), []), [ax1])] thy'  
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   401
               end) ak_names_types thy) ak_names_types thy12;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   402
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   403
        (* 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
   404
        (* lemma cp_<ak1>_<ak2>_inst:                                           *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   405
        (* 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
   406
        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
   407
         fold_map (fn (ak_name', T') => fn thy' =>
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   408
           let
21289
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   409
             val ak_name_qu  = Sign.full_name thy' (ak_name);
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   410
             val ak_name_qu' = Sign.full_name thy' (ak_name');
21289
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   411
             val cp_name_qu  = Sign.full_name thy' ("cp_"^ak_name^"_"^ak_name');
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   412
             val i_type0 = TFree("'a",[cp_name_qu]);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   413
             val i_type1 = Type(ak_name_qu,[]);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   414
             val i_type2 = Type(ak_name_qu',[]);
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   415
             val ccp = Const ("Nominal.cp",
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   416
                             (Term.itselfT i_type0)-->(Term.itselfT i_type1)-->
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   417
                                                      (Term.itselfT i_type2)-->HOLogic.boolT);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   418
             val at_type  = Logic.mk_type i_type1;
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   419
             val at_type' = Logic.mk_type i_type2;
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   420
             val cp_type  = Logic.mk_type i_type0;
26343
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   421
             val simp_s   = HOL_basic_ss addsimps maps (PureThy.get_thms thy') ["cp_def"];
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   422
             val cp1      = PureThy.get_thm thy' ("cp_" ^ ak_name ^ "_" ^ ak_name' ^ "1");
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   423
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   424
             val name = "cp_"^ak_name^ "_"^ak_name'^"_inst";
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   425
             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
   426
24527
888d56a8d9d3 modified proofs so that they are not using claset()
urbanc
parents: 24218
diff changeset
   427
             val proof = fn _ => EVERY [simp_tac simp_s 1, 
888d56a8d9d3 modified proofs so that they are not using claset()
urbanc
parents: 24218
diff changeset
   428
                                        rtac allI 1, rtac allI 1, rtac allI 1,
888d56a8d9d3 modified proofs so that they are not using claset()
urbanc
parents: 24218
diff changeset
   429
                                        rtac cp1 1];
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   430
           in
28729
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
   431
             yield_singleton PureThy.add_thms ((name,
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
   432
               Goal.prove_global thy' [] [] statement proof), []) thy'
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   433
           end) 
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   434
           ak_names_types thy) ak_names_types thy12b;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   435
       
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   436
        (* proves for every non-trivial <ak>-combination a disjointness   *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   437
        (* theorem; i.e. <ak1> != <ak2>                                   *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   438
        (* lemma ds_<ak1>_<ak2>:                                          *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   439
        (* dj TYPE(<ak1>) TYPE(<ak2>)                                     *)
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   440
        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
   441
          fold_map (fn (ak_name',T') => fn thy' =>
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   442
          (if not (ak_name = ak_name') 
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   443
           then 
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   444
               let
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   445
                 val ak_name_qu  = Sign.full_name thy' ak_name;
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   446
                 val ak_name_qu' = Sign.full_name thy' ak_name';
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   447
                 val i_type1 = Type(ak_name_qu,[]);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   448
                 val i_type2 = Type(ak_name_qu',[]);
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   449
                 val cdj = Const ("Nominal.disjoint",
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   450
                           (Term.itselfT i_type1)-->(Term.itselfT i_type2)-->HOLogic.boolT);
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   451
                 val at_type  = Logic.mk_type i_type1;
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   452
                 val at_type' = Logic.mk_type i_type2;
26343
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   453
                 val simp_s = HOL_ss addsimps maps (PureThy.get_thms thy')
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   454
                                           ["disjoint_def",
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   455
                                            ak_name ^ "_prm_" ^ ak_name' ^ "_def",
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   456
                                            ak_name' ^ "_prm_" ^ ak_name ^ "_def"];
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   457
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   458
                 val name = "dj_"^ak_name^"_"^ak_name';
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   459
                 val statement = HOLogic.mk_Trueprop (cdj $ at_type $ at_type');
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   460
24527
888d56a8d9d3 modified proofs so that they are not using claset()
urbanc
parents: 24218
diff changeset
   461
                 val proof = fn _ => simp_tac simp_s 1;
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   462
               in
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   463
                PureThy.add_thms [((name, Goal.prove_global thy' [] [] statement proof), [])] thy'
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   464
               end
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   465
           else 
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   466
            ([],thy')))  (* do nothing branch, if ak_name = ak_name' *) 
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   467
            ak_names_types thy) ak_names_types thy12c;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   468
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   469
     (********  pt_<ak> class instances  ********)
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   470
     (*=========================================*)
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   471
     (* 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
   472
      val pt1           = @{thm "pt1"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   473
      val pt2           = @{thm "pt2"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   474
      val pt3           = @{thm "pt3"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   475
      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
   476
      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
   477
      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
   478
      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
   479
      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
   480
      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
   481
      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
   482
      val pt_fun_inst   = @{thm "pt_fun_inst"};
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   483
18435
318d2c271040 tuned one comment
urbanc
parents: 18432
diff changeset
   484
     (* for all atom-kind combinations <ak>/<ak'> show that        *)
318d2c271040 tuned one comment
urbanc
parents: 18432
diff changeset
   485
     (* every <ak> is an instance of pt_<ak'>; the proof for       *)
318d2c271040 tuned one comment
urbanc
parents: 18432
diff changeset
   486
     (* 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
   487
     val thy13 = fold (fn ak_name => fn thy =>
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   488
        fold (fn ak_name' => fn thy' =>
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   489
         let
21289
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   490
           val qu_name =  Sign.full_name thy' ak_name';
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   491
           val cls_name = Sign.full_name thy' ("pt_"^ak_name);
26343
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   492
           val at_inst  = PureThy.get_thm thy' ("at_" ^ ak_name' ^ "_inst");
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   493
24218
fbf1646b267c ClassPackage renamed to Class
haftmann
parents: 24194
diff changeset
   494
           val proof1 = EVERY [Class.intro_classes_tac [],
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   495
                                 rtac ((at_inst RS at_pt_inst) RS pt1) 1,
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   496
                                 rtac ((at_inst RS at_pt_inst) RS pt2) 1,
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   497
                                 rtac ((at_inst RS at_pt_inst) RS pt3) 1,
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   498
                                 atac 1];
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   499
           val simp_s = HOL_basic_ss addsimps 
26343
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   500
                        maps (PureThy.get_thms thy') [ak_name ^ "_prm_" ^ ak_name' ^ "_def"];  
24218
fbf1646b267c ClassPackage renamed to Class
haftmann
parents: 24194
diff changeset
   501
           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
   502
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   503
         in
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   504
           thy'
19275
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   505
           |> AxClass.prove_arity (qu_name,[],[cls_name])
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   506
              (if ak_name = ak_name' then proof1 else proof2)
26484
28dd7c7a9a2e eliminated non-linear access to thy1 and thy12c;
wenzelm
parents: 26398
diff changeset
   507
         end) ak_names thy) ak_names thy12d;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   508
18430
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   509
     (* show that                       *)
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   510
     (*      fun(pt_<ak>,pt_<ak>)       *)
18579
002d371401f5 changed the name of the type "nOption" to "noption".
urbanc
parents: 18438
diff changeset
   511
     (*      noption(pt_<ak>)           *)
18430
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   512
     (*      option(pt_<ak>)            *)
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   513
     (*      list(pt_<ak>)              *)
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   514
     (*      *(pt_<ak>,pt_<ak>)         *)
18600
20ad06db427b added private datatype nprod (copy of prod) to be
urbanc
parents: 18579
diff changeset
   515
     (*      nprod(pt_<ak>,pt_<ak>)     *)
18430
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   516
     (*      unit                       *)
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   517
     (*      set(pt_<ak>)               *)
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   518
     (* are instances of pt_<ak>        *)
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   519
     val thy18 = fold (fn ak_name => fn thy =>
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   520
       let
21289
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   521
          val cls_name = Sign.full_name thy ("pt_"^ak_name);
26343
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   522
          val at_thm   = PureThy.get_thm thy ("at_"^ak_name^"_inst");
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   523
          val pt_inst  = PureThy.get_thm thy ("pt_"^ak_name^"_inst");
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   524
18430
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   525
          fun pt_proof thm = 
24218
fbf1646b267c ClassPackage renamed to Class
haftmann
parents: 24194
diff changeset
   526
              EVERY [Class.intro_classes_tac [],
18430
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   527
                     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
   528
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   529
          val pt_thm_fun   = at_thm RS (pt_inst RS (pt_inst RS pt_fun_inst));
46c18c0b52c1 improved the code for showing that a type is
urbanc
parents: 18426
diff changeset
   530
          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
   531
          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
   532
          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
   533
          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
   534
          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
   535
          val pt_thm_unit  = pt_unit_inst;
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   536
       in
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   537
        thy
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   538
        |> AxClass.prove_arity ("fun",[[cls_name],[cls_name]],[cls_name]) (pt_proof pt_thm_fun)
19494
2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
parents: 19488
diff changeset
   539
        |> AxClass.prove_arity ("Nominal.noption",[[cls_name]],[cls_name]) (pt_proof pt_thm_noptn) 
24194
96013f81faef re-eliminated Option.thy
haftmann
parents: 24162
diff changeset
   540
        |> AxClass.prove_arity ("Datatype.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
   541
        |> AxClass.prove_arity ("List.list",[[cls_name]],[cls_name]) (pt_proof pt_thm_list)
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   542
        |> AxClass.prove_arity ("*",[[cls_name],[cls_name]],[cls_name]) (pt_proof pt_thm_prod)
19494
2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
parents: 19488
diff changeset
   543
        |> 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
   544
                                    (pt_proof pt_thm_nprod)
19275
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   545
        |> 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
   546
     end) ak_names thy13; 
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   547
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   548
       (********  fs_<ak> class instances  ********)
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   549
       (*=========================================*)
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   550
       (* 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
   551
       val fs1            = @{thm "fs1"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   552
       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
   553
       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
   554
       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
   555
       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
   556
       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
   557
       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
   558
       val dj_supp        = @{thm "dj_supp"};
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   559
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   560
       (* shows that <ak> is an instance of fs_<ak>     *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   561
       (* uses the theorem at_<ak>_inst                 *)
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   562
       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
   563
        fold (fn ak_name' => fn thy' =>
18437
ee0283e5dfe3 added proofs to show that every atom-kind combination
urbanc
parents: 18436
diff changeset
   564
        let
21289
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   565
           val qu_name =  Sign.full_name thy' ak_name';
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   566
           val qu_class = Sign.full_name thy' ("fs_"^ak_name);
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   567
           val proof =
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   568
               (if ak_name = ak_name'
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   569
                then
26343
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   570
                  let val at_thm = PureThy.get_thm thy' ("at_"^ak_name^"_inst");
24218
fbf1646b267c ClassPackage renamed to Class
haftmann
parents: 24194
diff changeset
   571
                  in  EVERY [Class.intro_classes_tac [],
18437
ee0283e5dfe3 added proofs to show that every atom-kind combination
urbanc
parents: 18436
diff changeset
   572
                             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
   573
                else
26343
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   574
                  let val dj_inst = PureThy.get_thm thy' ("dj_"^ak_name'^"_"^ak_name);
22274
ce1459004c8d Adapted to changes in Finite_Set theory.
berghofe
parents: 21669
diff changeset
   575
                      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
   576
                  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
   577
        in
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   578
         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
   579
        end) ak_names thy) ak_names thy18;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   580
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   581
       (* shows that                  *)
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   582
       (*    unit                     *)
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   583
       (*    *(fs_<ak>,fs_<ak>)       *)
18600
20ad06db427b added private datatype nprod (copy of prod) to be
urbanc
parents: 18579
diff changeset
   584
       (*    nprod(fs_<ak>,fs_<ak>)   *)
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   585
       (*    list(fs_<ak>)            *)
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   586
       (*    option(fs_<ak>)          *) 
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   587
       (* are instances of fs_<ak>    *)
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   588
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   589
       val thy24 = fold (fn ak_name => fn thy => 
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   590
        let
21289
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   591
          val cls_name = Sign.full_name thy ("fs_"^ak_name);
26343
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   592
          val fs_inst  = PureThy.get_thm thy ("fs_"^ak_name^"_inst");
24218
fbf1646b267c ClassPackage renamed to Class
haftmann
parents: 24194
diff changeset
   593
          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
   594
18600
20ad06db427b added private datatype nprod (copy of prod) to be
urbanc
parents: 18579
diff changeset
   595
          val fs_thm_unit  = fs_unit_inst;
20ad06db427b added private datatype nprod (copy of prod) to be
urbanc
parents: 18579
diff changeset
   596
          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
   597
          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
   598
          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
   599
          val fs_thm_optn  = fs_inst RS fs_option_inst;
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   600
        in 
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   601
         thy
19275
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   602
         |> AxClass.prove_arity ("Product_Type.unit",[],[cls_name]) (fs_proof fs_thm_unit) 
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   603
         |> AxClass.prove_arity ("*",[[cls_name],[cls_name]],[cls_name]) (fs_proof fs_thm_prod) 
19494
2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
parents: 19488
diff changeset
   604
         |> 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
   605
                                     (fs_proof fs_thm_nprod) 
19275
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   606
         |> AxClass.prove_arity ("List.list",[[cls_name]],[cls_name]) (fs_proof fs_thm_list)
24194
96013f81faef re-eliminated Option.thy
haftmann
parents: 24162
diff changeset
   607
         |> AxClass.prove_arity ("Datatype.option",[[cls_name]],[cls_name]) (fs_proof fs_thm_optn)
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   608
        end) ak_names thy20;
18431
a59c79a3544c improved the finite-support proof
urbanc
parents: 18430
diff changeset
   609
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   610
       (********  cp_<ak>_<ai> class instances  ********)
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   611
       (*==============================================*)
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   612
       (* 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
   613
       val cp1             = @{thm "cp1"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   614
       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
   615
       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
   616
       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
   617
       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
   618
       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
   619
       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
   620
       val cp_noption_inst = @{thm "cp_noption_inst"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   621
       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
   622
23894
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   623
       val dj_pp_forget    = @{thm "dj_perm_perm_forget"};
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   624
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   625
       (* 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
   626
       (* for every  <ak>/<ai>-combination                *)
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   627
       val thy25 = fold (fn ak_name => fn thy =>
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   628
         fold (fn ak_name' => fn thy' =>
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   629
          fold (fn ak_name'' => fn thy'' =>
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   630
            let
21289
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   631
              val name =  Sign.full_name thy'' ak_name;
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   632
              val cls_name = Sign.full_name thy'' ("cp_"^ak_name'^"_"^ak_name'');
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   633
              val proof =
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   634
                (if (ak_name'=ak_name'') then 
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   635
                  (let
26343
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   636
                    val pt_inst  = PureThy.get_thm thy'' ("pt_"^ak_name''^"_inst");
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   637
                    val at_inst  = PureThy.get_thm thy'' ("at_"^ak_name''^"_inst");
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   638
                  in
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   639
                   EVERY [Class.intro_classes_tac [],
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   640
                          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
   641
                  end)
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   642
                else
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   643
                  (let
26343
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   644
                     val dj_inst  = PureThy.get_thm thy'' ("dj_"^ak_name''^"_"^ak_name');
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   645
                     val simp_s = HOL_basic_ss addsimps
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   646
                                        ((dj_inst RS dj_pp_forget)::
26343
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   647
                                         (maps (PureThy.get_thms thy'')
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   648
                                           [ak_name' ^"_prm_"^ak_name^"_def",
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   649
                                            ak_name''^"_prm_"^ak_name^"_def"]));
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   650
                  in
24218
fbf1646b267c ClassPackage renamed to Class
haftmann
parents: 24194
diff changeset
   651
                    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
   652
                  end))
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   653
              in
19275
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   654
                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
   655
              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
   656
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   657
       (* shows that                                                    *) 
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   658
       (*      units                                                    *) 
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   659
       (*      products                                                 *)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   660
       (*      lists                                                    *)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   661
       (*      functions                                                *)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   662
       (*      options                                                  *)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   663
       (*      noptions                                                 *)
22536
35debf264656 made the type sets instance of the "cp" type-class
urbanc
parents: 22535
diff changeset
   664
       (*      sets                                                     *)
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   665
       (* 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
   666
       val thy26 = fold (fn ak_name => fn thy =>
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   667
        fold (fn ak_name' => fn thy' =>
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   668
        let
21289
920b7b893d9c deleted all uses of sign_of as it's now the identity function
urbanc
parents: 20377
diff changeset
   669
            val cls_name = Sign.full_name thy' ("cp_"^ak_name^"_"^ak_name');
26343
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   670
            val cp_inst  = PureThy.get_thm thy' ("cp_"^ak_name^"_"^ak_name'^"_inst");
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   671
            val pt_inst  = PureThy.get_thm thy' ("pt_"^ak_name^"_inst");
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   672
            val at_inst  = PureThy.get_thm thy' ("at_"^ak_name^"_inst");
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   673
24218
fbf1646b267c ClassPackage renamed to Class
haftmann
parents: 24194
diff changeset
   674
            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
   675
          
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   676
            val cp_thm_unit = cp_unit_inst;
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   677
            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
   678
            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
   679
            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
   680
            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
   681
            val cp_thm_noptn = cp_inst RS cp_noption_inst;
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   682
        in
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   683
         thy'
19275
3d10de7a8ca7 add_inst_arity_i renamed to prove_arity.
berghofe
parents: 19165
diff changeset
   684
         |> AxClass.prove_arity ("Product_Type.unit",[],[cls_name]) (cp_proof cp_thm_unit)
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   685
         |> AxClass.prove_arity ("*",[[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
   686
         |> 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
   687
         |> AxClass.prove_arity ("fun",[[cls_name],[cls_name]],[cls_name]) (cp_proof cp_thm_fun)
24194
96013f81faef re-eliminated Option.thy
haftmann
parents: 24162
diff changeset
   688
         |> AxClass.prove_arity ("Datatype.option",[[cls_name]],[cls_name]) (cp_proof cp_thm_optn)
19494
2e909d5309f4 Renamed "nominal" theory to "Nominal".
berghofe
parents: 19488
diff changeset
   689
         |> AxClass.prove_arity ("Nominal.noption",[[cls_name]],[cls_name]) (cp_proof cp_thm_noptn)
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   690
        end) ak_names thy) ak_names thy25;
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   691
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   692
     (* 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
   693
     (* supported and have the commutation property                          *)
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   694
     (* 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
   695
     (* 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
   696
     val thy32 =
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   697
        let
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   698
          fun discrete_pt_inst discrete_ty defn =
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   699
             fold (fn ak_name => fn thy =>
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   700
             let
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   701
               val qu_class = Sign.full_name thy ("pt_"^ak_name);
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   702
               val simp_s = HOL_basic_ss addsimps [defn];
24218
fbf1646b267c ClassPackage renamed to Class
haftmann
parents: 24194
diff changeset
   703
               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
   704
             in 
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   705
               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
   706
             end) ak_names;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   707
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   708
          fun discrete_fs_inst discrete_ty defn = 
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   709
             fold (fn ak_name => fn thy =>
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   710
             let
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   711
               val qu_class = Sign.full_name thy ("fs_"^ak_name);
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   712
               val supp_def = @{thm "Nominal.supp_def"};
22274
ce1459004c8d Adapted to changes in Finite_Set theory.
berghofe
parents: 21669
diff changeset
   713
               val simp_s = HOL_ss addsimps [supp_def,Collect_const,finite_emptyI,defn];
24218
fbf1646b267c ClassPackage renamed to Class
haftmann
parents: 24194
diff changeset
   714
               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
   715
             in 
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   716
               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
   717
             end) ak_names;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   718
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   719
          fun discrete_cp_inst discrete_ty defn = 
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   720
             fold (fn ak_name' => (fold (fn ak_name => fn thy =>
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   721
             let
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   722
               val qu_class = Sign.full_name thy ("cp_"^ak_name^"_"^ak_name');
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   723
               val supp_def = @{thm "Nominal.supp_def"};
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   724
               val simp_s = HOL_ss addsimps [defn];
24218
fbf1646b267c ClassPackage renamed to Class
haftmann
parents: 24194
diff changeset
   725
               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
   726
             in
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   727
               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
   728
             end) ak_names)) ak_names;
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   729
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   730
        in
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   731
         thy26
23894
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   732
         |> discrete_pt_inst "nat"  @{thm "perm_nat_def"}
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   733
         |> discrete_fs_inst "nat"  @{thm "perm_nat_def"}
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   734
         |> discrete_cp_inst "nat"  @{thm "perm_nat_def"}
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   735
         |> discrete_pt_inst "bool" @{thm "perm_bool"}
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   736
         |> discrete_fs_inst "bool" @{thm "perm_bool"}
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   737
         |> discrete_cp_inst "bool" @{thm "perm_bool"}
25919
8b1c0d434824 joined theories IntDef, Numeral, IntArith to theory Int
haftmann
parents: 25557
diff changeset
   738
         |> discrete_pt_inst @{type_name "Int.int"} @{thm "perm_int_def"}
8b1c0d434824 joined theories IntDef, Numeral, IntArith to theory Int
haftmann
parents: 25557
diff changeset
   739
         |> discrete_fs_inst @{type_name "Int.int"} @{thm "perm_int_def"}
8b1c0d434824 joined theories IntDef, Numeral, IntArith to theory Int
haftmann
parents: 25557
diff changeset
   740
         |> discrete_cp_inst @{type_name "Int.int"} @{thm "perm_int_def"}
23894
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   741
         |> discrete_pt_inst "List.char" @{thm "perm_char_def"}
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   742
         |> discrete_fs_inst "List.char" @{thm "perm_char_def"}
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   743
         |> discrete_cp_inst "List.char" @{thm "perm_char_def"}
18432
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   744
        end;
0b596274ba4f more cleaning up - this time of the cp-instance
urbanc
parents: 18431
diff changeset
   745
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   746
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   747
       (* abbreviations for some lemmas *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   748
       (*===============================*)
23894
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   749
       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
   750
       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
   751
       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
   752
       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
   753
       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
   754
       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
   755
       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
   756
       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
   757
       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
   758
       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
   759
       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
   760
       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
   761
       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
   762
       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
   763
       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
   764
       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
   765
       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
   766
       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
   767
       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
   768
       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
   769
       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
   770
       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
   771
       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
   772
       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
   773
       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
   774
       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
   775
       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
   776
       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
   777
       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
   778
       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
   779
       val fresh_bij           = @{thm "Nominal.pt_fresh_bij"};
26773
ba8b1a8a12a7 added more infrastructure for fresh_star
urbanc
parents: 26484
diff changeset
   780
       val fresh_star_bij_ineq = @{thms "Nominal.pt_fresh_star_bij_ineq"};
ba8b1a8a12a7 added more infrastructure for fresh_star
urbanc
parents: 26484
diff changeset
   781
       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
   782
       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
   783
       val fresh_eqvt_ineq     = @{thm "Nominal.pt_fresh_eqvt_ineq"};
1a4167d761ac tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents: 23158
diff changeset
   784
       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
   785
       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
   786
       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
   787
       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
   788
       val ex_eqvt             = @{thm "Nominal.pt_ex_eqvt"};
28011
90074908db16 added equivariance lemmas for ex1 and the
urbanc
parents: 27691
diff changeset
   789
       val ex1_eqvt            = @{thm "Nominal.pt_ex1_eqvt"};
90074908db16 added equivariance lemmas for ex1 and the
urbanc
parents: 27691
diff changeset
   790
       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
   791
       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
   792
       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
   793
       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
   794
       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
   795
       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
   796
       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
   797
       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
   798
       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
   799
       val pt_perm_supp        = @{thm "Nominal.pt_perm_supp"};
26090
ec111fa4f8c5 added eqvt-flag to subseteq-lemma
urbanc
parents: 25919
diff changeset
   800
       val subseteq_eqvt       = @{thm "Nominal.pt_subseteq_eqvt"};
26820
2909150bd614 - Deleted arity proofs for set
berghofe
parents: 26773
diff changeset
   801
       val insert_eqvt         = @{thm "Nominal.insert_eqvt"};
2909150bd614 - Deleted arity proofs for set
berghofe
parents: 26773
diff changeset
   802
       val set_eqvt            = @{thm "Nominal.set_eqvt"};
2909150bd614 - Deleted arity proofs for set
berghofe
parents: 26773
diff changeset
   803
       val perm_set_eq         = @{thm "Nominal.perm_set_eq"};
22786
d8d7a53ffb63 fixes last commit
narboux
parents: 22785
diff changeset
   804
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   805
       (* 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
   806
       (* 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
   807
       (* collection of theorems) instead of thm abs_fun_pi with explicit *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   808
       (* instantiations.                                                 *)
20097
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   809
       val (_, thy33) =
be2d96bbf39c replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents: 20046
diff changeset
   810
         let
18651
0cb5a8f501aa added the thms-collection "pt_id" (collection of all pt_<ak>1 lemmas)
urbanc
parents: 18626
diff changeset
   811
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   812
             (* 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
   813
             (* 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
   814
             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
   815
26773
ba8b1a8a12a7 added more infrastructure for fresh_star
urbanc
parents: 26484
diff changeset
   816
	     (* takes a theorem thm and a list of theorems [(t1,m1),..,(tn,mn)]  *)
ba8b1a8a12a7 added more infrastructure for fresh_star
urbanc
parents: 26484
diff changeset
   817
             (* 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
   818
             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
   819
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   820
             (* takes two theorem lists (hopefully of the same length ;o)                *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   821
             (* produces a list of theorems of the form                                  *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   822
             (* [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
   823
             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
   824
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   825
             (* takes a theorem list of the form [l1,...,ln]              *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   826
             (* and a list of theorem lists of the form                   *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   827
             (* [[h11,...,h1m],....,[hk1,....,hkm]                        *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   828
             (* produces the list of theorem lists                        *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   829
             (* [[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
   830
             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
   831
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   832
             (* 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
   833
22418
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   834
             
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   835
             (* list of all at_inst-theorems *)
26343
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   836
             val ats = map (fn ak => PureThy.get_thm thy32 ("at_"^ak^"_inst")) ak_names
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   837
             (* list of all pt_inst-theorems *)
26343
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   838
             val pts = map (fn ak => PureThy.get_thm thy32 ("pt_"^ak^"_inst")) ak_names
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   839
             (* 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
   840
             val cps = 
26343
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   841
                 let fun cps_fun ak1 ak2 =  PureThy.get_thm thy32 ("cp_"^ak1^"_"^ak2^"_inst")
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   842
                 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
   843
             (* list of all cp_inst-theorems that have different atom types *)
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   844
             val cps' = 
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   845
                let fun cps'_fun ak1 ak2 = 
26343
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   846
                if ak1=ak2 then NONE else SOME (PureThy.get_thm thy32 ("cp_"^ak1^"_"^ak2^"_inst"))
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   847
                in map (fn aki => (List.mapPartial I (map (cps'_fun aki) ak_names))) ak_names end;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   848
             (* list of all dj_inst-theorems *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   849
             val djs = 
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   850
               let fun djs_fun ak1 ak2 = 
26343
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   851
                     if ak1=ak2 then NONE else SOME(PureThy.get_thm thy32 ("dj_"^ak2^"_"^ak1))
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   852
               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
   853
             (* list of all fs_inst-theorems *)
26343
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   854
             val fss = map (fn ak => PureThy.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
   855
             (* list of all at_inst-theorems *)
26343
0dd2eab7b296 simplified get_thm(s): back to plain name argument;
wenzelm
parents: 26337
diff changeset
   856
             val fs_axs = map (fn ak => PureThy.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
   857
25538
58e8ba3b792b map_product and fold_product
haftmann
parents: 24867
diff changeset
   858
             fun inst_pt thms = maps (fn ti => instR ti pts) thms;
58e8ba3b792b map_product and fold_product
haftmann
parents: 24867
diff changeset
   859
             fun inst_at thms = maps (fn ti => instR ti ats) thms;
58e8ba3b792b map_product and fold_product
haftmann
parents: 24867
diff changeset
   860
             fun inst_fs thms = maps (fn ti => instR ti fss) thms;
58e8ba3b792b map_product and fold_product
haftmann
parents: 24867
diff changeset
   861
             fun inst_cp thms cps = flat (inst_mult thms cps);
26773
ba8b1a8a12a7 added more infrastructure for fresh_star
urbanc
parents: 26484
diff changeset
   862
             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
   863
             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
   864
             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
   865
             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
   866
             fun inst_pt_pt_at_cp thms =
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   867
                 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
   868
                     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
   869
                 in i_pt_pt_at_cp end;
18396
b3e7da94b51f added a fresh_left lemma that contains all instantiation
urbanc
parents: 18381
diff changeset
   870
             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
   871
           in
18262
d0fcd4d684f5 finished cleaning up the parts that collect
urbanc
parents: 18100
diff changeset
   872
            thy32 
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   873
            |>   PureThy.add_thmss [(("alpha", inst_pt_at [abs_fun_eq]),[])]
19562
e56b3c967ae8 added the lemma abs_fun_eq' to the nominal theory,
urbanc
parents: 19548
diff changeset
   874
            ||>> PureThy.add_thmss [(("alpha'", inst_pt_at [abs_fun_eq']),[])]
23158
749b6870b1a1 introduced symmetric variants of the lemmas for alpha-equivalence
urbanc
parents: 23029
diff changeset
   875
            ||>> PureThy.add_thmss [(("alpha_fresh", inst_pt_at [abs_fun_fresh]),[])]
749b6870b1a1 introduced symmetric variants of the lemmas for alpha-equivalence
urbanc
parents: 23029
diff changeset
   876
            ||>> PureThy.add_thmss [(("alpha_fresh'", inst_pt_at [abs_fun_fresh']),[])]
22557
6775c71f1da0 added pt_bij' to the collection perm_swap and also added abs_perm to the collection of equivariance lemmas
urbanc
parents: 22536
diff changeset
   877
            ||>> PureThy.add_thmss [(("perm_swap", inst_pt_at [pt_swap_bij] @ inst_pt_at [pt_swap_bij']),[])]
27399
1fb3d1219c12 added facts to lemma swap_simps and tuned lemma calc_atms
urbanc
parents: 27216
diff changeset
   878
            ||>> PureThy.add_thmss 
1fb3d1219c12 added facts to lemma swap_simps and tuned lemma calc_atms
urbanc
parents: 27216
diff changeset
   879
	      let val thms1 = inst_at at_swap_simps
1fb3d1219c12 added facts to lemma swap_simps and tuned lemma calc_atms
urbanc
parents: 27216
diff changeset
   880
                  and thms2 = inst_dj [dj_perm_forget]
1fb3d1219c12 added facts to lemma swap_simps and tuned lemma calc_atms
urbanc
parents: 27216
diff changeset
   881
              in [(("swap_simps", thms1 @ thms2),[])] end 
19139
af69e41eab5d improved the decision-procedure for permutations;
urbanc
parents: 19134
diff changeset
   882
            ||>> PureThy.add_thmss 
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   883
              let val thms1 = inst_pt_at [pt_pi_rev];
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   884
                  val thms2 = inst_pt_at [pt_rev_pi];
19139
af69e41eab5d improved the decision-procedure for permutations;
urbanc
parents: 19134
diff changeset
   885
              in [(("perm_pi_simp",thms1 @ thms2),[])] end
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   886
            ||>> PureThy.add_thmss [(("perm_fresh_fresh", inst_pt_at [pt_fresh_fresh]),[])]
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   887
            ||>> PureThy.add_thmss [(("perm_bij", inst_pt_at [pt_bij]),[])]
18436
9649e24bc10e added thms to perm_compose (so far only composition
urbanc
parents: 18435
diff changeset
   888
            ||>> PureThy.add_thmss 
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   889
              let val thms1 = inst_pt_at [pt_perm_compose];
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   890
                  val thms2 = instR cp1 (Library.flat cps');
18436
9649e24bc10e added thms to perm_compose (so far only composition
urbanc
parents: 18435
diff changeset
   891
              in [(("perm_compose",thms1 @ thms2),[])] end
19139
af69e41eab5d improved the decision-procedure for permutations;
urbanc
parents: 19134
diff changeset
   892
            ||>> PureThy.add_thmss [(("perm_compose'",inst_pt_at [pt_perm_compose']),[])] 
af69e41eab5d improved the decision-procedure for permutations;
urbanc
parents: 19134
diff changeset
   893
            ||>> PureThy.add_thmss [(("perm_app", inst_pt_at [perm_app]),[])]
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   894
            ||>> PureThy.add_thmss [(("supp_atm", (inst_at [at_supp]) @ (inst_dj [dj_supp])),[])]
19972
89c5afe4139a added more infrastructure for the recursion combinator
urbanc
parents: 19638
diff changeset
   895
            ||>> PureThy.add_thmss [(("exists_fresh", inst_at [at_exists_fresh]),[])]
21377
c29146dc14f1 replaced exists_fresh lemma with a version formulated with obtains;
urbanc
parents: 21289
diff changeset
   896
            ||>> PureThy.add_thmss [(("exists_fresh'", inst_at [at_exists_fresh']),[])]
24569
c80e1871098b Added equivariance lemmas for induct_forall.
berghofe
parents: 24527
diff changeset
   897
            ||>> PureThy.add_thmss
c80e1871098b Added equivariance lemmas for induct_forall.
berghofe
parents: 24527
diff changeset
   898
              let
c80e1871098b Added equivariance lemmas for induct_forall.
berghofe
parents: 24527
diff changeset
   899
                val thms1 = inst_pt_at [all_eqvt];
c80e1871098b Added equivariance lemmas for induct_forall.
berghofe
parents: 24527
diff changeset
   900
                val thms2 = map (fold_rule [inductive_forall_def]) thms1
c80e1871098b Added equivariance lemmas for induct_forall.
berghofe
parents: 24527
diff changeset
   901
              in
c80e1871098b Added equivariance lemmas for induct_forall.
berghofe
parents: 24527
diff changeset
   902
                [(("all_eqvt", thms1 @ thms2), [NominalThmDecls.eqvt_force_add])]
c80e1871098b Added equivariance lemmas for induct_forall.
berghofe
parents: 24527
diff changeset
   903
              end
22715
381e6c45f13b improved the equivariance lemmas for the quantifiers; had to export the lemma eqvt_force_add and eqvt_force_del in the thmdecls
urbanc
parents: 22611
diff changeset
   904
            ||>> PureThy.add_thmss [(("ex_eqvt", inst_pt_at [ex_eqvt]),[NominalThmDecls.eqvt_force_add])]
28011
90074908db16 added equivariance lemmas for ex1 and the
urbanc
parents: 27691
diff changeset
   905
            ||>> PureThy.add_thmss [(("ex1_eqvt", inst_pt_at [ex1_eqvt]),[NominalThmDecls.eqvt_force_add])]
90074908db16 added equivariance lemmas for ex1 and the
urbanc
parents: 27691
diff changeset
   906
            ||>> PureThy.add_thmss [(("the_eqvt", inst_pt_at [the_eqvt]),[NominalThmDecls.eqvt_force_add])]
19972
89c5afe4139a added more infrastructure for the recursion combinator
urbanc
parents: 19638
diff changeset
   907
            ||>> PureThy.add_thmss 
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   908
              let val thms1 = inst_at [at_fresh]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   909
                  val thms2 = inst_dj [at_fresh_ineq]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   910
              in [(("fresh_atm", thms1 @ thms2),[])] end
19992
bb383dcec3d8 made calc_atm stronger by including some relative
urbanc
parents: 19972
diff changeset
   911
            ||>> PureThy.add_thmss
27399
1fb3d1219c12 added facts to lemma swap_simps and tuned lemma calc_atms
urbanc
parents: 27216
diff changeset
   912
              let val thms1 = inst_at at_calc
1fb3d1219c12 added facts to lemma swap_simps and tuned lemma calc_atms
urbanc
parents: 27216
diff changeset
   913
                  and thms2 = inst_dj [dj_perm_forget]
1fb3d1219c12 added facts to lemma swap_simps and tuned lemma calc_atms
urbanc
parents: 27216
diff changeset
   914
              in [(("calc_atm", thms1 @ thms2),[])] end
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   915
            ||>> PureThy.add_thmss
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   916
              let val thms1 = inst_pt_at [abs_fun_pi]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   917
                  and thms2 = inst_pt_pt_at_cp [abs_fun_pi_ineq]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   918
              in [(("abs_perm", thms1 @ thms2),[NominalThmDecls.eqvt_add])] end
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   919
            ||>> PureThy.add_thmss
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   920
              let val thms1 = inst_dj [dj_perm_forget]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   921
                  and thms2 = inst_dj [dj_pp_forget]
18279
f7a18e2b10fc made some of the theorem look-ups static (by using
urbanc
parents: 18262
diff changeset
   922
              in [(("perm_dj", thms1 @ thms2),[])] end
18381
246807ef6dfb changed the types in accordance with Florian's changes
urbanc
parents: 18366
diff changeset
   923
            ||>> PureThy.add_thmss
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   924
              let val thms1 = inst_pt_at_fs [fresh_iff]
18626
b6596f579e40 added some lemmas to the collection "abs_fresh"
urbanc
parents: 18600
diff changeset
   925
                  and thms2 = inst_pt_at [fresh_iff]
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   926
                  and thms3 = inst_pt_pt_at_cp_dj [fresh_iff_ineq]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   927
            in [(("abs_fresh", thms1 @ thms2 @ thms3),[])] end
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   928
            ||>> PureThy.add_thmss
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   929
              let val thms1 = inst_pt_at [abs_fun_supp]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   930
                  and thms2 = inst_pt_at_fs [abs_fun_supp]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   931
                  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
   932
              in [(("abs_supp", thms1 @ thms2 @ thms3),[])] end
18396
b3e7da94b51f added a fresh_left lemma that contains all instantiation
urbanc
parents: 18381
diff changeset
   933
            ||>> PureThy.add_thmss
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   934
              let val thms1 = inst_pt_at [fresh_left]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   935
                  and thms2 = inst_pt_pt_at_cp [fresh_left_ineq]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   936
              in [(("fresh_left", thms1 @ thms2),[])] end
18426
d2303e8654a2 added container-lemma fresh_eqvt
urbanc
parents: 18396
diff changeset
   937
            ||>> PureThy.add_thmss
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   938
              let val thms1 = inst_pt_at [fresh_right]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   939
                  and thms2 = inst_pt_pt_at_cp [fresh_right_ineq]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   940
              in [(("fresh_right", thms1 @ thms2),[])] end
19548
c0a896828194 added lemma fresh_right, which is useful
urbanc
parents: 19509
diff changeset
   941
            ||>> PureThy.add_thmss
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   942
              let val thms1 = inst_pt_at [fresh_bij]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   943
                  and thms2 = inst_pt_pt_at_cp [fresh_bij_ineq]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   944
              in [(("fresh_bij", thms1 @ thms2),[])] end
19972
89c5afe4139a added more infrastructure for the recursion combinator
urbanc
parents: 19638
diff changeset
   945
            ||>> PureThy.add_thmss
26773
ba8b1a8a12a7 added more infrastructure for fresh_star
urbanc
parents: 26484
diff changeset
   946
              let val thms1 = inst_pt_at fresh_star_bij
ba8b1a8a12a7 added more infrastructure for fresh_star
urbanc
parents: 26484
diff changeset
   947
                  and thms2 = flat (map (fn ti => inst_pt_pt_at_cp [ti]) fresh_star_bij_ineq);
ba8b1a8a12a7 added more infrastructure for fresh_star
urbanc
parents: 26484
diff changeset
   948
              in [(("fresh_star_bij", thms1 @ thms2),[])] end
ba8b1a8a12a7 added more infrastructure for fresh_star
urbanc
parents: 26484
diff changeset
   949
            ||>> PureThy.add_thmss
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   950
              let val thms1 = inst_pt_at [fresh_eqvt]
22535
cbee450f88a6 added extended the lemma for equivariance of freshness
urbanc
parents: 22418
diff changeset
   951
                  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
   952
              in [(("fresh_eqvt", thms1 @ thms2),[NominalThmDecls.eqvt_add])] end
22418
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   953
            ||>> PureThy.add_thmss
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   954
              let val thms1 = inst_pt_at [in_eqvt]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   955
              in [(("in_eqvt", thms1),[NominalThmDecls.eqvt_add])] end
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   956
            ||>> PureThy.add_thmss
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   957
              let val thms1 = inst_pt_at [eq_eqvt]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   958
              in [(("eq_eqvt", thms1),[NominalThmDecls.eqvt_add])] end
19638
4358b88a9d12 added the lemmas pt_fresh_aux and pt_fresh_aux_ineq
urbanc
parents: 19635
diff changeset
   959
            ||>> PureThy.add_thmss
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   960
              let val thms1 = inst_pt_at [set_diff_eqvt]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   961
              in [(("set_diff_eqvt", thms1),[NominalThmDecls.eqvt_add])] end
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   962
            ||>> PureThy.add_thmss
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   963
              let val thms1 = inst_pt_at [subseteq_eqvt]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   964
              in [(("subseteq_eqvt", thms1),[NominalThmDecls.eqvt_add])] end
26820
2909150bd614 - Deleted arity proofs for set
berghofe
parents: 26773
diff changeset
   965
            ||>> PureThy.add_thmss [(("insert_eqvt", inst_pt_at [insert_eqvt]), [NominalThmDecls.eqvt_add])]
2909150bd614 - Deleted arity proofs for set
berghofe
parents: 26773
diff changeset
   966
            ||>> PureThy.add_thmss [(("set_eqvt", inst_pt_at [set_eqvt]), [NominalThmDecls.eqvt_add])]
2909150bd614 - Deleted arity proofs for set
berghofe
parents: 26773
diff changeset
   967
            ||>> PureThy.add_thmss [(("perm_set_eq", inst_pt_at [perm_set_eq]), [])]
26090
ec111fa4f8c5 added eqvt-flag to subseteq-lemma
urbanc
parents: 25919
diff changeset
   968
            ||>> PureThy.add_thmss
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   969
              let val thms1 = inst_pt_at [fresh_aux]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   970
                  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
   971
              in  [(("fresh_aux", thms1 @ thms2),[])] end  
22785
fab155c8ce46 add two lemmas dealing with freshness on permutations.
narboux
parents: 22768
diff changeset
   972
            ||>> PureThy.add_thmss
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   973
              let val thms1 = inst_pt_at [fresh_perm_app]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   974
                  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
   975
              in  [(("fresh_perm_app", thms1 @ thms2),[])] end 
22794
d0f483fd57dd add the lemma supp_eqvt and put the right attribute
narboux
parents: 22786
diff changeset
   976
            ||>> PureThy.add_thmss
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   977
              let val thms1 = inst_pt_at [pt_perm_supp]
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   978
                  and thms2 = inst_pt_pt_at_cp [pt_perm_supp_ineq] 
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   979
              in  [(("supp_eqvt", thms1 @ thms2),[NominalThmDecls.eqvt_add])] end  
22418
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   980
            ||>> PureThy.add_thmss [(("fin_supp",fs_axs),[])]
26337
44473c957672 auxiliary dynamic_thm(s) for fact lookup;
wenzelm
parents: 26090
diff changeset
   981
           end;
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   982
22418
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   983
    in 
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   984
      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
   985
        (pt_ax_classes ~~
49e2d9744ae1 major update of the nominal package; there is now an infrastructure
urbanc
parents: 22274
diff changeset
   986
         fs_ax_classes ~~
28729
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
   987
         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
   988
         prm_cons_thms ~~ prm_inst_thms ~~
28729
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
   989
         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
   990
         map (fn thss => Symtab.make
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
   991
           (List.mapPartial (fn (s, [th]) => SOME (s, th) | _ => NONE)
cfd169f1dae2 Some more functions for accessing information about atoms.
berghofe
parents: 28372
diff changeset
   992
              (full_ak_names ~~ thss))) dj_thms))) thy33
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   993
    end;
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   994
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   995
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   996
(* syntax und parsing *)
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   997
structure P = OuterParse and K = OuterKeyword;
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
   998
24867
e5b55d7be9bb simplified interfaces for outer syntax;
wenzelm
parents: 24712
diff changeset
   999
val _ =
18068
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
  1000
  OuterSyntax.command "atom_decl" "Declare new kinds of atoms" K.thy_decl
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
  1001
    (Scan.repeat1 P.name >> (Toplevel.theory o create_nom_typedecls));
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
  1002
e8c3d371594e Moved atom stuff to new file nominal_atoms.ML
berghofe
parents:
diff changeset
  1003
end;