author | haftmann |
Wed, 05 Dec 2007 14:16:05 +0100 | |
changeset 25538 | 58e8ba3b792b |
parent 24867 | e5b55d7be9bb |
child 25557 | ea6b11021e79 |
permissions | -rw-r--r-- |
19494 | 1 |
(* Title: HOL/Nominal/nominal_atoms.ML |
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ID: $Id$ |
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Author: Christian Urban and Stefan Berghofer, TU Muenchen |
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Declaration of atom types to be used in nominal datatypes. |
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*) |
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signature NOMINAL_ATOMS = |
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sig |
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val create_nom_typedecls : string list -> theory -> theory |
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type atom_info |
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val get_atom_infos : theory -> atom_info Symtab.table |
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val get_atom_info : theory -> string -> atom_info option |
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val atoms_of : theory -> string list |
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val mk_permT : typ -> typ |
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end |
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structure NominalAtoms : NOMINAL_ATOMS = |
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struct |
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val finite_emptyI = @{thm "finite.emptyI"}; |
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val Collect_const = @{thm "Collect_const"}; |
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val inductive_forall_def = @{thm "induct_forall_def"}; |
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(* theory data *) |
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type atom_info = |
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{pt_class : string, |
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fs_class : string, |
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cp_classes : (string * string) list}; |
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structure NominalData = TheoryDataFun |
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( |
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type T = atom_info Symtab.table; |
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val empty = Symtab.empty; |
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val copy = I; |
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val extend = I; |
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fun merge _ x = Symtab.merge (K true) x; |
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); |
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fun make_atom_info ((pt_class, fs_class), cp_classes) = |
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{pt_class = pt_class, |
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fs_class = fs_class, |
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cp_classes = cp_classes}; |
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val get_atom_infos = NominalData.get; |
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val get_atom_info = Symtab.lookup o NominalData.get; |
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fun atoms_of thy = map fst (Symtab.dest (NominalData.get thy)); |
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fun mk_permT T = HOLogic.listT (HOLogic.mk_prodT (T, T)); |
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fun mk_Cons x xs = |
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let val T = fastype_of x |
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in Const ("List.list.Cons", T --> HOLogic.listT T --> HOLogic.listT T) $ x $ xs end; |
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(* this function sets up all matters related to atom- *) |
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(* kinds; the user specifies a list of atom-kind names *) |
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(* atom_decl <ak1> ... <akn> *) |
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fun create_nom_typedecls ak_names thy = |
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let |
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val (_,thy1) = |
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fold_map (fn ak => fn thy => |
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let val dt = ([],ak,NoSyn,[(ak,[@{typ nat}],NoSyn)]) |
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val ({inject,case_thms,...},thy1) = DatatypePackage.add_datatype_i true false [ak] [dt] thy |
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val inject_flat = Library.flat inject |
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val ak_type = Type (Sign.intern_type thy1 ak,[]) |
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val ak_sign = Sign.intern_const thy1 ak |
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val inj_type = @{typ nat}-->ak_type |
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val inj_on_type = inj_type-->(@{typ "nat set"})-->@{typ bool} |
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(* first statement *) |
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val stmnt1 = HOLogic.mk_Trueprop |
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(Const (@{const_name "inj_on"},inj_on_type) $ |
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Const (ak_sign,inj_type) $ HOLogic.mk_UNIV @{typ nat}) |
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val simp1 = @{thm inj_on_def}::inject_flat |
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val proof1 = fn _ => EVERY [simp_tac (HOL_basic_ss addsimps simp1) 1, |
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rtac @{thm ballI} 1, |
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rtac @{thm ballI} 1, |
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rtac @{thm impI} 1, |
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atac 1] |
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val (inj_thm,thy2) = |
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PureThy.add_thms [((ak^"_inj",Goal.prove_global thy1 [] [] stmnt1 proof1), [])] thy1 |
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(* second statement *) |
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val y = Free ("y",ak_type) |
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val stmnt2 = HOLogic.mk_Trueprop |
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(HOLogic.mk_exists ("x",@{typ nat},HOLogic.mk_eq (y,Const (ak_sign,inj_type) $ Bound 0))) |
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val proof2 = fn _ => EVERY [case_tac "y" 1, |
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asm_simp_tac (HOL_basic_ss addsimps simp1) 1, |
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rtac @{thm exI} 1, |
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rtac @{thm refl} 1] |
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(* third statement *) |
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val (inject_thm,thy3) = |
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PureThy.add_thms [((ak^"_injection",Goal.prove_global thy2 [] [] stmnt2 proof2), [])] thy2 |
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val stmnt3 = HOLogic.mk_Trueprop |
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(HOLogic.mk_not |
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(Const ("Finite_Set.finite", HOLogic.mk_setT ak_type --> HOLogic.boolT) $ |
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HOLogic.mk_UNIV ak_type)) |
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val simp2 = [@{thm image_def},@{thm bex_UNIV}]@inject_thm |
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val simp3 = [@{thm UNIV_def}] |
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val proof3 = fn _ => EVERY [cut_facts_tac inj_thm 1, |
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dtac @{thm range_inj_infinite} 1, |
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asm_full_simp_tac (HOL_basic_ss addsimps simp2) 1, |
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simp_tac (HOL_basic_ss addsimps simp3) 1] |
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val (inf_thm,thy4) = |
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PureThy.add_thms [((ak^"_infinite",Goal.prove_global thy1 [] [] stmnt3 proof3), [])] thy3 |
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in |
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((inj_thm,inject_thm,inf_thm),thy4) |
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end) ak_names thy |
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(* produces a list consisting of pairs: *) |
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(* fst component is the atom-kind name *) |
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(* snd component is its type *) |
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val full_ak_names = map (Sign.intern_type thy1) ak_names; |
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val ak_names_types = ak_names ~~ map (Type o rpair []) full_ak_names; |
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(* adds for every atom-kind an axiom *) |
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(* <ak>_infinite: infinite (UNIV::<ak_type> set) *) |
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val (inf_axs,thy2) = PureThy.add_axioms_i (map (fn (ak_name, T) => |
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let |
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val name = ak_name ^ "_infinite" |
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val axiom = HOLogic.mk_Trueprop (HOLogic.mk_not |
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(Const ("Finite_Set.finite", HOLogic.mk_setT T --> HOLogic.boolT) $ |
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HOLogic.mk_UNIV T)) |
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in |
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((name, axiom), []) |
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end) ak_names_types) thy1; |
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(* declares a swapping function for every atom-kind, it is *) |
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(* const swap_<ak> :: <akT> * <akT> => <akT> => <akT> *) |
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(* swap_<ak> (a,b) c = (if a=c then b (else if b=c then a else c)) *) |
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(* overloades then the general swap-function *) |
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val (swap_eqs, thy3) = fold_map (fn (ak_name, T) => fn thy => |
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let |
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val swapT = HOLogic.mk_prodT (T, T) --> T --> T; |
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val swap_name = Sign.full_name thy ("swap_" ^ ak_name); |
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val a = Free ("a", T); |
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val b = Free ("b", T); |
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val c = Free ("c", T); |
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val ab = Free ("ab", HOLogic.mk_prodT (T, T)) |
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val cif = Const ("HOL.If", HOLogic.boolT --> T --> T --> T); |
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val cswap_akname = Const (swap_name, swapT); |
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val cswap = Const ("Nominal.swap", swapT) |
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val name = "swap_"^ak_name^"_def"; |
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val def1 = HOLogic.mk_Trueprop (HOLogic.mk_eq |
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(cswap_akname $ HOLogic.mk_prod (a,b) $ c, |
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cif $ HOLogic.mk_eq (a,c) $ b $ (cif $ HOLogic.mk_eq (b,c) $ a $ c))) |
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val def2 = Logic.mk_equals (cswap $ ab $ c, cswap_akname $ ab $ c) |
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in |
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thy |> Sign.add_consts_i [("swap_" ^ ak_name, swapT, NoSyn)] |
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|> PureThy.add_defs_unchecked_i true [((name, def2),[])] |
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|> snd |
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|> PrimrecPackage.add_primrec_unchecked_i "" [(("", def1),[])] |
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end) ak_names_types thy2; |
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(* declares a permutation function for every atom-kind acting *) |
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(* on such atoms *) |
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(* const <ak>_prm_<ak> :: (<akT> * <akT>)list => akT => akT *) |
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(* <ak>_prm_<ak> [] a = a *) |
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(* <ak>_prm_<ak> (x#xs) a = swap_<ak> x (perm xs a) *) |
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val (prm_eqs, thy4) = fold_map (fn (ak_name, T) => fn thy => |
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let |
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val swapT = HOLogic.mk_prodT (T, T) --> T --> T; |
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val swap_name = Sign.full_name thy ("swap_" ^ ak_name) |
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val prmT = mk_permT T --> T --> T; |
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val prm_name = ak_name ^ "_prm_" ^ ak_name; |
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val qu_prm_name = Sign.full_name thy prm_name; |
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val x = Free ("x", HOLogic.mk_prodT (T, T)); |
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val xs = Free ("xs", mk_permT T); |
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val a = Free ("a", T) ; |
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val cnil = Const ("List.list.Nil", mk_permT T); |
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||
190 |
val def1 = HOLogic.mk_Trueprop (HOLogic.mk_eq (Const (qu_prm_name, prmT) $ cnil $ a, a)); |
|
191 |
||
192 |
val def2 = HOLogic.mk_Trueprop (HOLogic.mk_eq |
|
193 |
(Const (qu_prm_name, prmT) $ mk_Cons x xs $ a, |
|
194 |
Const (swap_name, swapT) $ x $ (Const (qu_prm_name, prmT) $ xs $ a))); |
|
195 |
in |
|
24712
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proper Sign operations instead of Theory aliases;
wenzelm
parents:
24677
diff
changeset
|
196 |
thy |> Sign.add_consts_i [(prm_name, mk_permT T --> T --> T, NoSyn)] |
19635 | 197 |
|> PrimrecPackage.add_primrec_unchecked_i "" [(("", def1), []),(("", def2), [])] |
20179 | 198 |
end) ak_names_types thy3; |
18068 | 199 |
|
200 |
(* defines permutation functions for all combinations of atom-kinds; *) |
|
201 |
(* there are a trivial cases and non-trivial cases *) |
|
202 |
(* non-trivial case: *) |
|
203 |
(* <ak>_prm_<ak>_def: perm pi a == <ak>_prm_<ak> pi a *) |
|
204 |
(* trivial case with <ak> != <ak'> *) |
|
205 |
(* <ak>_prm<ak'>_def[simp]: perm pi a == a *) |
|
206 |
(* *) |
|
207 |
(* the trivial cases are added to the simplifier, while the non- *) |
|
208 |
(* have their own rules proved below *) |
|
18366 | 209 |
val (perm_defs, thy5) = fold_map (fn (ak_name, T) => fn thy => |
210 |
fold_map (fn (ak_name', T') => fn thy' => |
|
18068 | 211 |
let |
212 |
val perm_def_name = ak_name ^ "_prm_" ^ ak_name'; |
|
213 |
val pi = Free ("pi", mk_permT T); |
|
214 |
val a = Free ("a", T'); |
|
19494 | 215 |
val cperm = Const ("Nominal.perm", mk_permT T --> T' --> T'); |
21289
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urbanc
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diff
changeset
|
216 |
val cperm_def = Const (Sign.full_name thy' perm_def_name, mk_permT T --> T' --> T'); |
18068 | 217 |
|
218 |
val name = ak_name ^ "_prm_" ^ ak_name' ^ "_def"; |
|
219 |
val def = Logic.mk_equals |
|
220 |
(cperm $ pi $ a, if ak_name = ak_name' then cperm_def $ pi $ a else a) |
|
221 |
in |
|
19635 | 222 |
PureThy.add_defs_unchecked_i true [((name, def),[])] thy' |
18366 | 223 |
end) ak_names_types thy) ak_names_types thy4; |
18068 | 224 |
|
225 |
(* proves that every atom-kind is an instance of at *) |
|
226 |
(* lemma at_<ak>_inst: *) |
|
227 |
(* at TYPE(<ak>) *) |
|
18381
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changed the types in accordance with Florian's changes
urbanc
parents:
18366
diff
changeset
|
228 |
val (prm_cons_thms,thy6) = |
18068 | 229 |
thy5 |> PureThy.add_thms (map (fn (ak_name, T) => |
230 |
let |
|
21289
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urbanc
parents:
20377
diff
changeset
|
231 |
val ak_name_qu = Sign.full_name thy5 (ak_name); |
18068 | 232 |
val i_type = Type(ak_name_qu,[]); |
19494 | 233 |
val cat = Const ("Nominal.at",(Term.itselfT i_type) --> HOLogic.boolT); |
18068 | 234 |
val at_type = Logic.mk_type i_type; |
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urbanc
parents:
24218
diff
changeset
|
235 |
val simp_s = HOL_ss addsimps PureThy.get_thmss thy5 |
18068 | 236 |
[Name "at_def", |
237 |
Name (ak_name ^ "_prm_" ^ ak_name ^ "_def"), |
|
238 |
Name (ak_name ^ "_prm_" ^ ak_name ^ ".simps"), |
|
239 |
Name ("swap_" ^ ak_name ^ "_def"), |
|
240 |
Name ("swap_" ^ ak_name ^ ".simps"), |
|
241 |
Name (ak_name ^ "_infinite")] |
|
242 |
||
243 |
val name = "at_"^ak_name^ "_inst"; |
|
244 |
val statement = HOLogic.mk_Trueprop (cat $ at_type); |
|
245 |
||
24527
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urbanc
parents:
24218
diff
changeset
|
246 |
val proof = fn _ => simp_tac simp_s 1 |
18068 | 247 |
|
248 |
in |
|
20046 | 249 |
((name, Goal.prove_global thy5 [] [] statement proof), []) |
18068 | 250 |
end) ak_names_types); |
251 |
||
252 |
(* declares a perm-axclass for every atom-kind *) |
|
253 |
(* axclass pt_<ak> *) |
|
254 |
(* pt_<ak>1[simp]: perm [] x = x *) |
|
255 |
(* pt_<ak>2: perm (pi1@pi2) x = perm pi1 (perm pi2 x) *) |
|
256 |
(* pt_<ak>3: pi1 ~ pi2 ==> perm pi1 x = perm pi2 x *) |
|
18438
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made the changes according to Florian's re-arranging of
urbanc
parents:
18437
diff
changeset
|
257 |
val (pt_ax_classes,thy7) = fold_map (fn (ak_name, T) => fn thy => |
18068 | 258 |
let |
259 |
val cl_name = "pt_"^ak_name; |
|
260 |
val ty = TFree("'a",["HOL.type"]); |
|
261 |
val x = Free ("x", ty); |
|
262 |
val pi1 = Free ("pi1", mk_permT T); |
|
263 |
val pi2 = Free ("pi2", mk_permT T); |
|
19494 | 264 |
val cperm = Const ("Nominal.perm", mk_permT T --> ty --> ty); |
18068 | 265 |
val cnil = Const ("List.list.Nil", mk_permT T); |
23029 | 266 |
val cappend = Const ("List.append",mk_permT T --> mk_permT T --> mk_permT T); |
19494 | 267 |
val cprm_eq = Const ("Nominal.prm_eq",mk_permT T --> mk_permT T --> HOLogic.boolT); |
18068 | 268 |
(* nil axiom *) |
269 |
val axiom1 = HOLogic.mk_Trueprop (HOLogic.mk_eq |
|
270 |
(cperm $ cnil $ x, x)); |
|
271 |
(* append axiom *) |
|
272 |
val axiom2 = HOLogic.mk_Trueprop (HOLogic.mk_eq |
|
273 |
(cperm $ (cappend $ pi1 $ pi2) $ x, cperm $ pi1 $ (cperm $ pi2 $ x))); |
|
274 |
(* perm-eq axiom *) |
|
275 |
val axiom3 = Logic.mk_implies |
|
276 |
(HOLogic.mk_Trueprop (cprm_eq $ pi1 $ pi2), |
|
277 |
HOLogic.mk_Trueprop (HOLogic.mk_eq (cperm $ pi1 $ x, cperm $ pi2 $ x))); |
|
278 |
in |
|
22745 | 279 |
AxClass.define_class (cl_name, ["HOL.type"]) [] |
19488 | 280 |
[((cl_name ^ "1", [Simplifier.simp_add]), [axiom1]), |
281 |
((cl_name ^ "2", []), [axiom2]), |
|
282 |
((cl_name ^ "3", []), [axiom3])] thy |
|
18438
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made the changes according to Florian's re-arranging of
urbanc
parents:
18437
diff
changeset
|
283 |
end) ak_names_types thy6; |
18068 | 284 |
|
285 |
(* proves that every pt_<ak>-type together with <ak>-type *) |
|
286 |
(* instance of pt *) |
|
287 |
(* lemma pt_<ak>_inst: *) |
|
288 |
(* pt TYPE('x::pt_<ak>) TYPE(<ak>) *) |
|
18381
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changed the types in accordance with Florian's changes
urbanc
parents:
18366
diff
changeset
|
289 |
val (prm_inst_thms,thy8) = |
18068 | 290 |
thy7 |> PureThy.add_thms (map (fn (ak_name, T) => |
291 |
let |
|
21289
920b7b893d9c
deleted all uses of sign_of as it's now the identity function
urbanc
parents:
20377
diff
changeset
|
292 |
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
|
293 |
val pt_name_qu = Sign.full_name thy7 ("pt_"^ak_name); |
18068 | 294 |
val i_type1 = TFree("'x",[pt_name_qu]); |
295 |
val i_type2 = Type(ak_name_qu,[]); |
|
19494 | 296 |
val cpt = Const ("Nominal.pt",(Term.itselfT i_type1)-->(Term.itselfT i_type2)-->HOLogic.boolT); |
18068 | 297 |
val pt_type = Logic.mk_type i_type1; |
298 |
val at_type = Logic.mk_type i_type2; |
|
24527
888d56a8d9d3
modified proofs so that they are not using claset()
urbanc
parents:
24218
diff
changeset
|
299 |
val simp_s = HOL_ss addsimps PureThy.get_thmss thy7 |
18068 | 300 |
[Name "pt_def", |
301 |
Name ("pt_" ^ ak_name ^ "1"), |
|
302 |
Name ("pt_" ^ ak_name ^ "2"), |
|
303 |
Name ("pt_" ^ ak_name ^ "3")]; |
|
304 |
||
305 |
val name = "pt_"^ak_name^ "_inst"; |
|
306 |
val statement = HOLogic.mk_Trueprop (cpt $ pt_type $ at_type); |
|
307 |
||
24527
888d56a8d9d3
modified proofs so that they are not using claset()
urbanc
parents:
24218
diff
changeset
|
308 |
val proof = fn _ => simp_tac simp_s 1; |
18068 | 309 |
in |
20046 | 310 |
((name, Goal.prove_global thy7 [] [] statement proof), []) |
18068 | 311 |
end) ak_names_types); |
312 |
||
313 |
(* declares an fs-axclass for every atom-kind *) |
|
314 |
(* axclass fs_<ak> *) |
|
315 |
(* 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
|
316 |
val (fs_ax_classes,thy11) = fold_map (fn (ak_name, T) => fn thy => |
18068 | 317 |
let |
318 |
val cl_name = "fs_"^ak_name; |
|
21289
920b7b893d9c
deleted all uses of sign_of as it's now the identity function
urbanc
parents:
20377
diff
changeset
|
319 |
val pt_name = Sign.full_name thy ("pt_"^ak_name); |
18068 | 320 |
val ty = TFree("'a",["HOL.type"]); |
321 |
val x = Free ("x", ty); |
|
19494 | 322 |
val csupp = Const ("Nominal.supp", ty --> HOLogic.mk_setT T); |
22274 | 323 |
val cfinite = Const ("Finite_Set.finite", HOLogic.mk_setT T --> HOLogic.boolT) |
18068 | 324 |
|
22274 | 325 |
val axiom1 = HOLogic.mk_Trueprop (cfinite $ (csupp $ x)); |
18068 | 326 |
|
327 |
in |
|
22745 | 328 |
AxClass.define_class (cl_name, [pt_name]) [] [((cl_name ^ "1", []), [axiom1])] thy |
18438
b8d867177916
made the changes according to Florian's re-arranging of
urbanc
parents:
18437
diff
changeset
|
329 |
end) ak_names_types thy8; |
22418
49e2d9744ae1
major update of the nominal package; there is now an infrastructure
urbanc
parents:
22274
diff
changeset
|
330 |
|
18068 | 331 |
(* proves that every fs_<ak>-type together with <ak>-type *) |
332 |
(* instance of fs-type *) |
|
333 |
(* lemma abst_<ak>_inst: *) |
|
334 |
(* fs TYPE('x::pt_<ak>) TYPE (<ak>) *) |
|
18381
246807ef6dfb
changed the types in accordance with Florian's changes
urbanc
parents:
18366
diff
changeset
|
335 |
val (fs_inst_thms,thy12) = |
18068 | 336 |
thy11 |> PureThy.add_thms (map (fn (ak_name, T) => |
337 |
let |
|
21289
920b7b893d9c
deleted all uses of sign_of as it's now the identity function
urbanc
parents:
20377
diff
changeset
|
338 |
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
|
339 |
val fs_name_qu = Sign.full_name thy11 ("fs_"^ak_name); |
18068 | 340 |
val i_type1 = TFree("'x",[fs_name_qu]); |
341 |
val i_type2 = Type(ak_name_qu,[]); |
|
19494 | 342 |
val cfs = Const ("Nominal.fs", |
18068 | 343 |
(Term.itselfT i_type1)-->(Term.itselfT i_type2)-->HOLogic.boolT); |
344 |
val fs_type = Logic.mk_type i_type1; |
|
345 |
val at_type = Logic.mk_type i_type2; |
|
24527
888d56a8d9d3
modified proofs so that they are not using claset()
urbanc
parents:
24218
diff
changeset
|
346 |
val simp_s = HOL_ss addsimps PureThy.get_thmss thy11 |
18068 | 347 |
[Name "fs_def", |
348 |
Name ("fs_" ^ ak_name ^ "1")]; |
|
349 |
||
350 |
val name = "fs_"^ak_name^ "_inst"; |
|
351 |
val statement = HOLogic.mk_Trueprop (cfs $ fs_type $ at_type); |
|
352 |
||
24527
888d56a8d9d3
modified proofs so that they are not using claset()
urbanc
parents:
24218
diff
changeset
|
353 |
val proof = fn _ => simp_tac simp_s 1; |
18068 | 354 |
in |
20046 | 355 |
((name, Goal.prove_global thy11 [] [] statement proof), []) |
18068 | 356 |
end) ak_names_types); |
357 |
||
358 |
(* declares for every atom-kind combination an axclass *) |
|
359 |
(* cp_<ak1>_<ak2> giving a composition property *) |
|
360 |
(* 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
|
361 |
val (cp_ax_classes,thy12b) = fold_map (fn (ak_name, T) => fn thy => |
18438
b8d867177916
made the changes according to Florian's re-arranging of
urbanc
parents:
18437
diff
changeset
|
362 |
fold_map (fn (ak_name', T') => fn thy' => |
18068 | 363 |
let |
364 |
val cl_name = "cp_"^ak_name^"_"^ak_name'; |
|
365 |
val ty = TFree("'a",["HOL.type"]); |
|
366 |
val x = Free ("x", ty); |
|
367 |
val pi1 = Free ("pi1", mk_permT T); |
|
368 |
val pi2 = Free ("pi2", mk_permT T'); |
|
19494 | 369 |
val cperm1 = Const ("Nominal.perm", mk_permT T --> ty --> ty); |
370 |
val cperm2 = Const ("Nominal.perm", mk_permT T' --> ty --> ty); |
|
371 |
val cperm3 = Const ("Nominal.perm", mk_permT T --> mk_permT T' --> mk_permT T'); |
|
18068 | 372 |
|
373 |
val ax1 = HOLogic.mk_Trueprop |
|
374 |
(HOLogic.mk_eq (cperm1 $ pi1 $ (cperm2 $ pi2 $ x), |
|
375 |
cperm2 $ (cperm3 $ pi1 $ pi2) $ (cperm1 $ pi1 $ x))); |
|
376 |
in |
|
22745 | 377 |
AxClass.define_class (cl_name, ["HOL.type"]) [] [((cl_name ^ "1", []), [ax1])] thy' |
18438
b8d867177916
made the changes according to Florian's re-arranging of
urbanc
parents:
18437
diff
changeset
|
378 |
end) ak_names_types thy) ak_names_types thy12; |
18068 | 379 |
|
380 |
(* proves for every <ak>-combination a cp_<ak1>_<ak2>_inst theorem; *) |
|
381 |
(* lemma cp_<ak1>_<ak2>_inst: *) |
|
382 |
(* 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
|
383 |
val (cp_thms,thy12c) = fold_map (fn (ak_name, T) => fn thy => |
246807ef6dfb
changed the types in accordance with Florian's changes
urbanc
parents:
18366
diff
changeset
|
384 |
fold_map (fn (ak_name', T') => fn thy' => |
18068 | 385 |
let |
21289
920b7b893d9c
deleted all uses of sign_of as it's now the identity function
urbanc
parents:
20377
diff
changeset
|
386 |
val ak_name_qu = 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
|
387 |
val ak_name_qu' = 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
|
388 |
val cp_name_qu = Sign.full_name thy' ("cp_"^ak_name^"_"^ak_name'); |
18068 | 389 |
val i_type0 = TFree("'a",[cp_name_qu]); |
390 |
val i_type1 = Type(ak_name_qu,[]); |
|
391 |
val i_type2 = Type(ak_name_qu',[]); |
|
19494 | 392 |
val ccp = Const ("Nominal.cp", |
18068 | 393 |
(Term.itselfT i_type0)-->(Term.itselfT i_type1)--> |
394 |
(Term.itselfT i_type2)-->HOLogic.boolT); |
|
395 |
val at_type = Logic.mk_type i_type1; |
|
396 |
val at_type' = Logic.mk_type i_type2; |
|
397 |
val cp_type = Logic.mk_type i_type0; |
|
398 |
val simp_s = HOL_basic_ss addsimps PureThy.get_thmss thy' [(Name "cp_def")]; |
|
399 |
val cp1 = PureThy.get_thm thy' (Name ("cp_"^ak_name^"_"^ak_name'^"1")); |
|
400 |
||
401 |
val name = "cp_"^ak_name^ "_"^ak_name'^"_inst"; |
|
402 |
val statement = HOLogic.mk_Trueprop (ccp $ cp_type $ at_type $ at_type'); |
|
403 |
||
24527
888d56a8d9d3
modified proofs so that they are not using claset()
urbanc
parents:
24218
diff
changeset
|
404 |
val proof = fn _ => EVERY [simp_tac simp_s 1, |
888d56a8d9d3
modified proofs so that they are not using claset()
urbanc
parents:
24218
diff
changeset
|
405 |
rtac allI 1, rtac allI 1, rtac allI 1, |
888d56a8d9d3
modified proofs so that they are not using claset()
urbanc
parents:
24218
diff
changeset
|
406 |
rtac cp1 1]; |
18068 | 407 |
in |
20046 | 408 |
PureThy.add_thms [((name, Goal.prove_global thy' [] [] statement proof), [])] thy' |
18068 | 409 |
end) |
18381
246807ef6dfb
changed the types in accordance with Florian's changes
urbanc
parents:
18366
diff
changeset
|
410 |
ak_names_types thy) ak_names_types thy12b; |
18068 | 411 |
|
412 |
(* proves for every non-trivial <ak>-combination a disjointness *) |
|
413 |
(* theorem; i.e. <ak1> != <ak2> *) |
|
414 |
(* lemma ds_<ak1>_<ak2>: *) |
|
415 |
(* dj TYPE(<ak1>) TYPE(<ak2>) *) |
|
18381
246807ef6dfb
changed the types in accordance with Florian's changes
urbanc
parents:
18366
diff
changeset
|
416 |
val (dj_thms, thy12d) = fold_map (fn (ak_name,T) => fn thy => |
246807ef6dfb
changed the types in accordance with Florian's changes
urbanc
parents:
18366
diff
changeset
|
417 |
fold_map (fn (ak_name',T') => fn thy' => |
18068 | 418 |
(if not (ak_name = ak_name') |
419 |
then |
|
420 |
let |
|
21289
920b7b893d9c
deleted all uses of sign_of as it's now the identity function
urbanc
parents:
20377
diff
changeset
|
421 |
val ak_name_qu = 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
|
422 |
val ak_name_qu' = Sign.full_name thy' ak_name'; |
18068 | 423 |
val i_type1 = Type(ak_name_qu,[]); |
424 |
val i_type2 = Type(ak_name_qu',[]); |
|
19494 | 425 |
val cdj = Const ("Nominal.disjoint", |
18068 | 426 |
(Term.itselfT i_type1)-->(Term.itselfT i_type2)-->HOLogic.boolT); |
427 |
val at_type = Logic.mk_type i_type1; |
|
428 |
val at_type' = Logic.mk_type i_type2; |
|
24527
888d56a8d9d3
modified proofs so that they are not using claset()
urbanc
parents:
24218
diff
changeset
|
429 |
val simp_s = HOL_ss addsimps PureThy.get_thmss thy' |
18068 | 430 |
[Name "disjoint_def", |
431 |
Name (ak_name^"_prm_"^ak_name'^"_def"), |
|
432 |
Name (ak_name'^"_prm_"^ak_name^"_def")]; |
|
433 |
||
434 |
val name = "dj_"^ak_name^"_"^ak_name'; |
|
435 |
val statement = HOLogic.mk_Trueprop (cdj $ at_type $ at_type'); |
|
436 |
||
24527
888d56a8d9d3
modified proofs so that they are not using claset()
urbanc
parents:
24218
diff
changeset
|
437 |
val proof = fn _ => simp_tac simp_s 1; |
18068 | 438 |
in |
20046 | 439 |
PureThy.add_thms [((name, Goal.prove_global thy' [] [] statement proof), [])] thy' |
18068 | 440 |
end |
441 |
else |
|
18381
246807ef6dfb
changed the types in accordance with Florian's changes
urbanc
parents:
18366
diff
changeset
|
442 |
([],thy'))) (* do nothing branch, if ak_name = ak_name' *) |
246807ef6dfb
changed the types in accordance with Florian's changes
urbanc
parents:
18366
diff
changeset
|
443 |
ak_names_types thy) ak_names_types thy12c; |
18068 | 444 |
|
20097
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
445 |
(******** pt_<ak> class instances ********) |
18068 | 446 |
(*=========================================*) |
18279
f7a18e2b10fc
made some of the theorem look-ups static (by using
urbanc
parents:
18262
diff
changeset
|
447 |
(* 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
|
448 |
val pt1 = @{thm "pt1"}; |
1a4167d761ac
tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents:
23158
diff
changeset
|
449 |
val pt2 = @{thm "pt2"}; |
1a4167d761ac
tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents:
23158
diff
changeset
|
450 |
val pt3 = @{thm "pt3"}; |
1a4167d761ac
tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents:
23158
diff
changeset
|
451 |
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
|
452 |
val pt_set_inst = @{thm "pt_set_inst"}; |
1a4167d761ac
tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents:
23158
diff
changeset
|
453 |
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
|
454 |
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
|
455 |
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
|
456 |
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
|
457 |
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
|
458 |
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
|
459 |
val pt_fun_inst = @{thm "pt_fun_inst"}; |
18068 | 460 |
|
18435 | 461 |
(* for all atom-kind combinations <ak>/<ak'> show that *) |
462 |
(* every <ak> is an instance of pt_<ak'>; the proof for *) |
|
463 |
(* ak!=ak' is by definition; the case ak=ak' uses at_pt_inst. *) |
|
18431 | 464 |
val thy13 = fold (fn ak_name => fn thy => |
465 |
fold (fn ak_name' => fn thy' => |
|
466 |
let |
|
21289
920b7b893d9c
deleted all uses of sign_of as it's now the identity function
urbanc
parents:
20377
diff
changeset
|
467 |
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
|
468 |
val cls_name = Sign.full_name thy' ("pt_"^ak_name); |
18431 | 469 |
val at_inst = PureThy.get_thm thy' (Name ("at_"^ak_name'^"_inst")); |
470 |
||
24218 | 471 |
val proof1 = EVERY [Class.intro_classes_tac [], |
18068 | 472 |
rtac ((at_inst RS at_pt_inst) RS pt1) 1, |
473 |
rtac ((at_inst RS at_pt_inst) RS pt2) 1, |
|
474 |
rtac ((at_inst RS at_pt_inst) RS pt3) 1, |
|
475 |
atac 1]; |
|
18431 | 476 |
val simp_s = HOL_basic_ss addsimps |
477 |
PureThy.get_thmss thy' [Name (ak_name^"_prm_"^ak_name'^"_def")]; |
|
24218 | 478 |
val proof2 = EVERY [Class.intro_classes_tac [], REPEAT (asm_simp_tac simp_s 1)]; |
18431 | 479 |
|
480 |
in |
|
481 |
thy' |
|
19275 | 482 |
|> AxClass.prove_arity (qu_name,[],[cls_name]) |
18431 | 483 |
(if ak_name = ak_name' then proof1 else proof2) |
484 |
end) ak_names thy) ak_names thy12c; |
|
18068 | 485 |
|
18430 | 486 |
(* show that *) |
487 |
(* fun(pt_<ak>,pt_<ak>) *) |
|
18579
002d371401f5
changed the name of the type "nOption" to "noption".
urbanc
parents:
18438
diff
changeset
|
488 |
(* noption(pt_<ak>) *) |
18430 | 489 |
(* option(pt_<ak>) *) |
490 |
(* list(pt_<ak>) *) |
|
491 |
(* *(pt_<ak>,pt_<ak>) *) |
|
18600 | 492 |
(* nprod(pt_<ak>,pt_<ak>) *) |
18430 | 493 |
(* unit *) |
494 |
(* set(pt_<ak>) *) |
|
495 |
(* are instances of pt_<ak> *) |
|
18431 | 496 |
val thy18 = fold (fn ak_name => fn thy => |
18068 | 497 |
let |
21289
920b7b893d9c
deleted all uses of sign_of as it's now the identity function
urbanc
parents:
20377
diff
changeset
|
498 |
val cls_name = Sign.full_name thy ("pt_"^ak_name); |
18068 | 499 |
val at_thm = PureThy.get_thm thy (Name ("at_"^ak_name^"_inst")); |
500 |
val pt_inst = PureThy.get_thm thy (Name ("pt_"^ak_name^"_inst")); |
|
20097
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
501 |
|
18430 | 502 |
fun pt_proof thm = |
24218 | 503 |
EVERY [Class.intro_classes_tac [], |
18430 | 504 |
rtac (thm RS pt1) 1, rtac (thm RS pt2) 1, rtac (thm RS pt3) 1, atac 1]; |
505 |
||
506 |
val pt_thm_fun = at_thm RS (pt_inst RS (pt_inst RS pt_fun_inst)); |
|
507 |
val pt_thm_noptn = pt_inst RS pt_noptn_inst; |
|
508 |
val pt_thm_optn = pt_inst RS pt_optn_inst; |
|
509 |
val pt_thm_list = pt_inst RS pt_list_inst; |
|
510 |
val pt_thm_prod = pt_inst RS (pt_inst RS pt_prod_inst); |
|
18600 | 511 |
val pt_thm_nprod = pt_inst RS (pt_inst RS pt_nprod_inst); |
18430 | 512 |
val pt_thm_unit = pt_unit_inst; |
513 |
val pt_thm_set = pt_inst RS pt_set_inst |
|
20097
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
514 |
in |
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
515 |
thy |
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
516 |
|> AxClass.prove_arity ("fun",[[cls_name],[cls_name]],[cls_name]) (pt_proof pt_thm_fun) |
19494 | 517 |
|> AxClass.prove_arity ("Nominal.noption",[[cls_name]],[cls_name]) (pt_proof pt_thm_noptn) |
24194 | 518 |
|> AxClass.prove_arity ("Datatype.option",[[cls_name]],[cls_name]) (pt_proof pt_thm_optn) |
19275 | 519 |
|> AxClass.prove_arity ("List.list",[[cls_name]],[cls_name]) (pt_proof pt_thm_list) |
520 |
|> AxClass.prove_arity ("*",[[cls_name],[cls_name]],[cls_name]) (pt_proof pt_thm_prod) |
|
19494 | 521 |
|> AxClass.prove_arity ("Nominal.nprod",[[cls_name],[cls_name]],[cls_name]) |
18600 | 522 |
(pt_proof pt_thm_nprod) |
19275 | 523 |
|> AxClass.prove_arity ("Product_Type.unit",[],[cls_name]) (pt_proof pt_thm_unit) |
524 |
|> AxClass.prove_arity ("set",[[cls_name]],[cls_name]) (pt_proof pt_thm_set) |
|
18430 | 525 |
end) ak_names thy13; |
18068 | 526 |
|
20097
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
527 |
(******** fs_<ak> class instances ********) |
18068 | 528 |
(*=========================================*) |
18279
f7a18e2b10fc
made some of the theorem look-ups static (by using
urbanc
parents:
18262
diff
changeset
|
529 |
(* 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
|
530 |
val fs1 = @{thm "fs1"}; |
1a4167d761ac
tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents:
23158
diff
changeset
|
531 |
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
|
532 |
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
|
533 |
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
|
534 |
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
|
535 |
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
|
536 |
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
|
537 |
val dj_supp = @{thm "dj_supp"}; |
18068 | 538 |
|
539 |
(* shows that <ak> is an instance of fs_<ak> *) |
|
540 |
(* uses the theorem at_<ak>_inst *) |
|
18431 | 541 |
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
|
542 |
fold (fn ak_name' => fn thy' => |
18437
ee0283e5dfe3
added proofs to show that every atom-kind combination
urbanc
parents:
18436
diff
changeset
|
543 |
let |
21289
920b7b893d9c
deleted all uses of sign_of as it's now the identity function
urbanc
parents:
20377
diff
changeset
|
544 |
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
|
545 |
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
|
546 |
val proof = |
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
547 |
(if ak_name = ak_name' |
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
548 |
then |
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
549 |
let val at_thm = PureThy.get_thm thy' (Name ("at_"^ak_name^"_inst")); |
24218 | 550 |
in EVERY [Class.intro_classes_tac [], |
18437
ee0283e5dfe3
added proofs to show that every atom-kind combination
urbanc
parents:
18436
diff
changeset
|
551 |
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
|
552 |
else |
20097
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
553 |
let val dj_inst = PureThy.get_thm thy' (Name ("dj_"^ak_name'^"_"^ak_name)); |
22274 | 554 |
val simp_s = HOL_basic_ss addsimps [dj_inst RS dj_supp, finite_emptyI]; |
24218 | 555 |
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
|
556 |
in |
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
557 |
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
|
558 |
end) ak_names thy) ak_names thy18; |
18068 | 559 |
|
18431 | 560 |
(* shows that *) |
561 |
(* unit *) |
|
562 |
(* *(fs_<ak>,fs_<ak>) *) |
|
18600 | 563 |
(* nprod(fs_<ak>,fs_<ak>) *) |
18431 | 564 |
(* list(fs_<ak>) *) |
565 |
(* option(fs_<ak>) *) |
|
566 |
(* are instances of fs_<ak> *) |
|
18068 | 567 |
|
18431 | 568 |
val thy24 = fold (fn ak_name => fn thy => |
569 |
let |
|
21289
920b7b893d9c
deleted all uses of sign_of as it's now the identity function
urbanc
parents:
20377
diff
changeset
|
570 |
val cls_name = Sign.full_name thy ("fs_"^ak_name); |
18068 | 571 |
val fs_inst = PureThy.get_thm thy (Name ("fs_"^ak_name^"_inst")); |
24218 | 572 |
fun fs_proof thm = EVERY [Class.intro_classes_tac [], rtac (thm RS fs1) 1]; |
18068 | 573 |
|
18600 | 574 |
val fs_thm_unit = fs_unit_inst; |
575 |
val fs_thm_prod = fs_inst RS (fs_inst RS fs_prod_inst); |
|
576 |
val fs_thm_nprod = fs_inst RS (fs_inst RS fs_nprod_inst); |
|
577 |
val fs_thm_list = fs_inst RS fs_list_inst; |
|
578 |
val fs_thm_optn = fs_inst RS fs_option_inst; |
|
18431 | 579 |
in |
20097
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
580 |
thy |
19275 | 581 |
|> AxClass.prove_arity ("Product_Type.unit",[],[cls_name]) (fs_proof fs_thm_unit) |
582 |
|> AxClass.prove_arity ("*",[[cls_name],[cls_name]],[cls_name]) (fs_proof fs_thm_prod) |
|
19494 | 583 |
|> AxClass.prove_arity ("Nominal.nprod",[[cls_name],[cls_name]],[cls_name]) |
18600 | 584 |
(fs_proof fs_thm_nprod) |
19275 | 585 |
|> AxClass.prove_arity ("List.list",[[cls_name]],[cls_name]) (fs_proof fs_thm_list) |
24194 | 586 |
|> 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
|
587 |
end) ak_names thy20; |
18431 | 588 |
|
20097
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
589 |
(******** cp_<ak>_<ai> class instances ********) |
18068 | 590 |
(*==============================================*) |
18279
f7a18e2b10fc
made some of the theorem look-ups static (by using
urbanc
parents:
18262
diff
changeset
|
591 |
(* 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
|
592 |
val cp1 = @{thm "cp1"}; |
1a4167d761ac
tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents:
23158
diff
changeset
|
593 |
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
|
594 |
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
|
595 |
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
|
596 |
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
|
597 |
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
|
598 |
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
|
599 |
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
|
600 |
val cp_set_inst = @{thm "cp_set_inst"}; |
1a4167d761ac
tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents:
23158
diff
changeset
|
601 |
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
|
602 |
|
23894
1a4167d761ac
tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents:
23158
diff
changeset
|
603 |
val dj_pp_forget = @{thm "dj_perm_perm_forget"}; |
18068 | 604 |
|
605 |
(* shows that <aj> is an instance of cp_<ak>_<ai> *) |
|
18432 | 606 |
(* for every <ak>/<ai>-combination *) |
20097
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
607 |
val thy25 = fold (fn ak_name => fn thy => |
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
608 |
fold (fn ak_name' => fn thy' => |
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
609 |
fold (fn ak_name'' => fn thy'' => |
18068 | 610 |
let |
21289
920b7b893d9c
deleted all uses of sign_of as it's now the identity function
urbanc
parents:
20377
diff
changeset
|
611 |
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
|
612 |
val cls_name = Sign.full_name thy'' ("cp_"^ak_name'^"_"^ak_name''); |
18068 | 613 |
val proof = |
614 |
(if (ak_name'=ak_name'') then |
|
20097
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
615 |
(let |
18068 | 616 |
val pt_inst = PureThy.get_thm thy'' (Name ("pt_"^ak_name''^"_inst")); |
20097
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
617 |
val at_inst = PureThy.get_thm thy'' (Name ("at_"^ak_name''^"_inst")); |
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
618 |
in |
24218 | 619 |
EVERY [Class.intro_classes_tac [], |
18068 | 620 |
rtac (at_inst RS (pt_inst RS pt_perm_compose)) 1] |
621 |
end) |
|
622 |
else |
|
20097
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
623 |
(let |
18068 | 624 |
val dj_inst = PureThy.get_thm thy'' (Name ("dj_"^ak_name''^"_"^ak_name')); |
20097
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
625 |
val simp_s = HOL_basic_ss addsimps |
18068 | 626 |
((dj_inst RS dj_pp_forget):: |
20097
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
627 |
(PureThy.get_thmss thy'' |
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
628 |
[Name (ak_name' ^"_prm_"^ak_name^"_def"), |
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
629 |
Name (ak_name''^"_prm_"^ak_name^"_def")])); |
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
630 |
in |
24218 | 631 |
EVERY [Class.intro_classes_tac [], simp_tac simp_s 1] |
18068 | 632 |
end)) |
20097
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
633 |
in |
19275 | 634 |
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
|
635 |
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
|
636 |
|
18432 | 637 |
(* shows that *) |
638 |
(* units *) |
|
639 |
(* products *) |
|
640 |
(* lists *) |
|
641 |
(* functions *) |
|
642 |
(* options *) |
|
643 |
(* noptions *) |
|
22536
35debf264656
made the type sets instance of the "cp" type-class
urbanc
parents:
22535
diff
changeset
|
644 |
(* sets *) |
18432 | 645 |
(* are instances of cp_<ak>_<ai> for every <ak>/<ai>-combination *) |
646 |
val thy26 = fold (fn ak_name => fn thy => |
|
647 |
fold (fn ak_name' => fn thy' => |
|
648 |
let |
|
21289
920b7b893d9c
deleted all uses of sign_of as it's now the identity function
urbanc
parents:
20377
diff
changeset
|
649 |
val cls_name = Sign.full_name thy' ("cp_"^ak_name^"_"^ak_name'); |
18068 | 650 |
val cp_inst = PureThy.get_thm thy' (Name ("cp_"^ak_name^"_"^ak_name'^"_inst")); |
651 |
val pt_inst = PureThy.get_thm thy' (Name ("pt_"^ak_name^"_inst")); |
|
652 |
val at_inst = PureThy.get_thm thy' (Name ("at_"^ak_name^"_inst")); |
|
18432 | 653 |
|
24218 | 654 |
fun cp_proof thm = EVERY [Class.intro_classes_tac [],rtac (thm RS cp1) 1]; |
18432 | 655 |
|
656 |
val cp_thm_unit = cp_unit_inst; |
|
657 |
val cp_thm_prod = cp_inst RS (cp_inst RS cp_prod_inst); |
|
658 |
val cp_thm_list = cp_inst RS cp_list_inst; |
|
659 |
val cp_thm_fun = at_inst RS (pt_inst RS (cp_inst RS (cp_inst RS cp_fun_inst))); |
|
660 |
val cp_thm_optn = cp_inst RS cp_option_inst; |
|
661 |
val cp_thm_noptn = cp_inst RS cp_noption_inst; |
|
22536
35debf264656
made the type sets instance of the "cp" type-class
urbanc
parents:
22535
diff
changeset
|
662 |
val cp_thm_set = cp_inst RS cp_set_inst; |
18432 | 663 |
in |
664 |
thy' |
|
19275 | 665 |
|> AxClass.prove_arity ("Product_Type.unit",[],[cls_name]) (cp_proof cp_thm_unit) |
666 |
|> AxClass.prove_arity ("*",[[cls_name],[cls_name]],[cls_name]) (cp_proof cp_thm_prod) |
|
667 |
|> AxClass.prove_arity ("List.list",[[cls_name]],[cls_name]) (cp_proof cp_thm_list) |
|
668 |
|> AxClass.prove_arity ("fun",[[cls_name],[cls_name]],[cls_name]) (cp_proof cp_thm_fun) |
|
24194 | 669 |
|> AxClass.prove_arity ("Datatype.option",[[cls_name]],[cls_name]) (cp_proof cp_thm_optn) |
19494 | 670 |
|> AxClass.prove_arity ("Nominal.noption",[[cls_name]],[cls_name]) (cp_proof cp_thm_noptn) |
22536
35debf264656
made the type sets instance of the "cp" type-class
urbanc
parents:
22535
diff
changeset
|
671 |
|> AxClass.prove_arity ("set",[[cls_name]],[cls_name]) (cp_proof cp_thm_set) |
18432 | 672 |
end) ak_names thy) ak_names thy25; |
20097
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
673 |
|
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
674 |
(* show that discrete nominal types are permutation types, finitely *) |
18432 | 675 |
(* supported and have the commutation property *) |
676 |
(* 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
|
677 |
(* which renders the proofs to be simple "simp_all"-proofs. *) |
18432 | 678 |
val thy32 = |
20097
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
679 |
let |
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
680 |
fun discrete_pt_inst discrete_ty defn = |
18432 | 681 |
fold (fn ak_name => fn thy => |
682 |
let |
|
21289
920b7b893d9c
deleted all uses of sign_of as it's now the identity function
urbanc
parents:
20377
diff
changeset
|
683 |
val qu_class = Sign.full_name thy ("pt_"^ak_name); |
18432 | 684 |
val simp_s = HOL_basic_ss addsimps [defn]; |
24218 | 685 |
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
|
686 |
in |
19275 | 687 |
AxClass.prove_arity (discrete_ty,[],[qu_class]) proof thy |
18432 | 688 |
end) ak_names; |
18068 | 689 |
|
18432 | 690 |
fun discrete_fs_inst discrete_ty defn = |
691 |
fold (fn ak_name => fn thy => |
|
692 |
let |
|
21289
920b7b893d9c
deleted all uses of sign_of as it's now the identity function
urbanc
parents:
20377
diff
changeset
|
693 |
val qu_class = Sign.full_name thy ("fs_"^ak_name); |
23894
1a4167d761ac
tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents:
23158
diff
changeset
|
694 |
val supp_def = @{thm "Nominal.supp_def"}; |
22274 | 695 |
val simp_s = HOL_ss addsimps [supp_def,Collect_const,finite_emptyI,defn]; |
24218 | 696 |
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
|
697 |
in |
19275 | 698 |
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
|
699 |
end) ak_names; |
18068 | 700 |
|
18432 | 701 |
fun discrete_cp_inst discrete_ty defn = |
702 |
fold (fn ak_name' => (fold (fn ak_name => fn thy => |
|
703 |
let |
|
21289
920b7b893d9c
deleted all uses of sign_of as it's now the identity function
urbanc
parents:
20377
diff
changeset
|
704 |
val qu_class = Sign.full_name thy ("cp_"^ak_name^"_"^ak_name'); |
23894
1a4167d761ac
tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents:
23158
diff
changeset
|
705 |
val supp_def = @{thm "Nominal.supp_def"}; |
18432 | 706 |
val simp_s = HOL_ss addsimps [defn]; |
24218 | 707 |
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
|
708 |
in |
19275 | 709 |
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
|
710 |
end) ak_names)) ak_names; |
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
711 |
|
18432 | 712 |
in |
713 |
thy26 |
|
23894
1a4167d761ac
tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents:
23158
diff
changeset
|
714 |
|> 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
|
715 |
|> 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
|
716 |
|> 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
|
717 |
|> 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
|
718 |
|> 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
|
719 |
|> discrete_cp_inst "bool" @{thm "perm_bool"} |
1a4167d761ac
tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents:
23158
diff
changeset
|
720 |
|> discrete_pt_inst "IntDef.int" @{thm "perm_int_def"} |
1a4167d761ac
tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents:
23158
diff
changeset
|
721 |
|> discrete_fs_inst "IntDef.int" @{thm "perm_int_def"} |
1a4167d761ac
tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents:
23158
diff
changeset
|
722 |
|> discrete_cp_inst "IntDef.int" @{thm "perm_int_def"} |
1a4167d761ac
tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents:
23158
diff
changeset
|
723 |
|> 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
|
724 |
|> 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
|
725 |
|> discrete_cp_inst "List.char" @{thm "perm_char_def"} |
18432 | 726 |
end; |
727 |
||
20097
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
728 |
|
18262 | 729 |
(* abbreviations for some lemmas *) |
730 |
(*===============================*) |
|
23894
1a4167d761ac
tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents:
23158
diff
changeset
|
731 |
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
|
732 |
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
|
733 |
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
|
734 |
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
|
735 |
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
|
736 |
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
|
737 |
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
|
738 |
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
|
739 |
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
|
740 |
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
|
741 |
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
|
742 |
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
|
743 |
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
|
744 |
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
|
745 |
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
|
746 |
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
|
747 |
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
|
748 |
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
|
749 |
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
|
750 |
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
|
751 |
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
|
752 |
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
|
753 |
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
|
754 |
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
|
755 |
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
|
756 |
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
|
757 |
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
|
758 |
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
|
759 |
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
|
760 |
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
|
761 |
val fresh_bij = @{thm "Nominal.pt_fresh_bij"}; |
1a4167d761ac
tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents:
23158
diff
changeset
|
762 |
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
|
763 |
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
|
764 |
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
|
765 |
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
|
766 |
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
|
767 |
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
|
768 |
val ex_eqvt = @{thm "Nominal.pt_ex_eqvt"}; |
1a4167d761ac
tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents:
23158
diff
changeset
|
769 |
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
|
770 |
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
|
771 |
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
|
772 |
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
|
773 |
val fresh_perm_app_ineq = @{thm "Nominal.pt_fresh_perm_app_ineq"}; |
1a4167d761ac
tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents:
23158
diff
changeset
|
774 |
val fresh_perm_app = @{thm "Nominal.pt_fresh_perm_app"}; |
1a4167d761ac
tactics: avoid dynamic reference to accidental theory context (via ML_Context.the_context etc.);
wenzelm
parents:
23158
diff
changeset
|
775 |
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
|
776 |
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
|
777 |
val pt_perm_supp = @{thm "Nominal.pt_perm_supp"}; |
22786 | 778 |
|
18262 | 779 |
(* Now we collect and instantiate some lemmas w.r.t. all atom *) |
780 |
(* types; this allows for example to use abs_perm (which is a *) |
|
781 |
(* collection of theorems) instead of thm abs_fun_pi with explicit *) |
|
782 |
(* instantiations. *) |
|
20097
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
783 |
val (_, thy33) = |
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
784 |
let |
18651
0cb5a8f501aa
added the thms-collection "pt_id" (collection of all pt_<ak>1 lemmas)
urbanc
parents:
18626
diff
changeset
|
785 |
|
18279
f7a18e2b10fc
made some of the theorem look-ups static (by using
urbanc
parents:
18262
diff
changeset
|
786 |
(* 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
|
787 |
(* produces a list of theorems of the form [t1 RS thm,..,tn RS thm] *) |
18262 | 788 |
fun instR thm thms = map (fn ti => ti RS thm) thms; |
18068 | 789 |
|
18262 | 790 |
(* takes two theorem lists (hopefully of the same length ;o) *) |
791 |
(* produces a list of theorems of the form *) |
|
792 |
(* [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
|
793 |
fun inst_zip thms1 thms2 = map (fn (t1,t2) => t1 RS t2) (thms1 ~~ thms2); |
18068 | 794 |
|
18262 | 795 |
(* takes a theorem list of the form [l1,...,ln] *) |
796 |
(* and a list of theorem lists of the form *) |
|
797 |
(* [[h11,...,h1m],....,[hk1,....,hkm] *) |
|
798 |
(* produces the list of theorem lists *) |
|
799 |
(* [[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
|
800 |
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
|
801 |
|
f7a18e2b10fc
made some of the theorem look-ups static (by using
urbanc
parents:
18262
diff
changeset
|
802 |
(* FIXME: these lists do not need to be created dynamically again *) |
18262 | 803 |
|
22418
49e2d9744ae1
major update of the nominal package; there is now an infrastructure
urbanc
parents:
22274
diff
changeset
|
804 |
|
18068 | 805 |
(* list of all at_inst-theorems *) |
18262 | 806 |
val ats = map (fn ak => PureThy.get_thm thy32 (Name ("at_"^ak^"_inst"))) ak_names |
18068 | 807 |
(* list of all pt_inst-theorems *) |
18262 | 808 |
val pts = map (fn ak => PureThy.get_thm thy32 (Name ("pt_"^ak^"_inst"))) ak_names |
809 |
(* list of all cp_inst-theorems as a collection of lists*) |
|
18068 | 810 |
val cps = |
18262 | 811 |
let fun cps_fun ak1 ak2 = PureThy.get_thm thy32 (Name ("cp_"^ak1^"_"^ak2^"_inst")) |
812 |
in map (fn aki => (map (cps_fun aki) ak_names)) ak_names end; |
|
813 |
(* list of all cp_inst-theorems that have different atom types *) |
|
814 |
val cps' = |
|
815 |
let fun cps'_fun ak1 ak2 = |
|
816 |
if ak1=ak2 then NONE else SOME(PureThy.get_thm thy32 (Name ("cp_"^ak1^"_"^ak2^"_inst"))) |
|
817 |
in map (fn aki => (List.mapPartial I (map (cps'_fun aki) ak_names))) ak_names end; |
|
18068 | 818 |
(* list of all dj_inst-theorems *) |
819 |
val djs = |
|
25538 | 820 |
let fun djs_fun ak1 ak2 = |
18262 | 821 |
if ak1=ak2 then NONE else SOME(PureThy.get_thm thy32 (Name ("dj_"^ak2^"_"^ak1))) |
25538 | 822 |
in map_filter I (map_product djs_fun ak_names ak_names) end; |
18262 | 823 |
(* list of all fs_inst-theorems *) |
824 |
val fss = map (fn ak => PureThy.get_thm thy32 (Name ("fs_"^ak^"_inst"))) ak_names |
|
22418
49e2d9744ae1
major update of the nominal package; there is now an infrastructure
urbanc
parents:
22274
diff
changeset
|
825 |
(* list of all at_inst-theorems *) |
49e2d9744ae1
major update of the nominal package; there is now an infrastructure
urbanc
parents:
22274
diff
changeset
|
826 |
val fs_axs = map (fn ak => PureThy.get_thm thy32 (Name ("fs_"^ak^"1"))) ak_names |
20097
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
827 |
|
25538 | 828 |
fun inst_pt thms = maps (fn ti => instR ti pts) thms; |
829 |
fun inst_at thms = maps (fn ti => instR ti ats) thms; |
|
830 |
fun inst_fs thms = maps (fn ti => instR ti fss) thms; |
|
831 |
fun inst_cp thms cps = flat (inst_mult thms cps); |
|
20097
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
832 |
fun inst_pt_at thms = inst_zip ats (inst_pt thms); |
25538 | 833 |
fun inst_dj thms = maps (fn ti => instR ti djs) thms; |
18436
9649e24bc10e
added thms to perm_compose (so far only composition
urbanc
parents:
18435
diff
changeset
|
834 |
fun inst_pt_pt_at_cp thms = inst_cp (inst_zip ats (inst_zip pts (inst_pt thms))) cps; |
18262 | 835 |
fun inst_pt_at_fs thms = inst_zip (inst_fs [fs1]) (inst_zip ats (inst_pt thms)); |
20097
be2d96bbf39c
replaced mk_listT by HOLogic.listT; trivial whitespace/comment changes
webertj
parents:
20046
diff
changeset
|
836 |
fun inst_pt_pt_at_cp thms = |
18279
f7a18e2b10fc
made some of the theorem look-ups static (by using
urbanc
parents:
18262
diff
changeset
|
837 |
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
|
838 |
val i_pt_pt_at_cp = inst_cp i_pt_pt_at cps'; |
18396
b3e7da94b51f
added a fresh_left lemma that contains all instantiation
urbanc
parents:
18381
diff
changeset
|
839 |
in i_pt_pt_at_cp end; |
b3e7da94b51f
added a fresh_left lemma that contains all instantiation
urbanc
parents:
18381
diff
changeset
|
840 |
fun inst_pt_pt_at_cp_dj thms = inst_zip djs (inst_pt_pt_at_cp thms); |
18068 | 841 |
in |
18262 | 842 |
thy32 |
18652
3930a060d71b
rolled back the last addition since these lemmas were already
urbanc
parents:
18651
diff
changeset
|
843 |
|> 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
|
844 |
||>> 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
|
845 |
||>> 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
|
846 |
||>> 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
|
847 |
||>> PureThy.add_thmss [(("perm_swap", inst_pt_at [pt_swap_bij] @ inst_pt_at [pt_swap_bij']),[])] |
22610 | 848 |
||>> PureThy.add_thmss [(("swap_simps", inst_at at_swap_simps),[])] |
19139 | 849 |
||>> PureThy.add_thmss |
850 |
let val thms1 = inst_pt_at [pt_pi_rev]; |
|
851 |
val thms2 = inst_pt_at [pt_rev_pi]; |
|
852 |
in [(("perm_pi_simp",thms1 @ thms2),[])] end |
|
18381
246807ef6dfb
changed the types in accordance with Florian's changes
urbanc
parents:
18366
diff
changeset
|
853 |
||>> 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
|
854 |
||>> 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
|
855 |
||>> PureThy.add_thmss |
9649e24bc10e
added thms to perm_compose (so far only composition
urbanc
parents:
18435
diff
changeset
|
856 |
let val thms1 = inst_pt_at [pt_perm_compose]; |
9649e24bc10e
added thms to perm_compose (so far only composition
urbanc
parents:
18435
diff
changeset
|
857 |
val thms2 = instR cp1 (Library.flat cps'); |
9649e24bc10e
added thms to perm_compose (so far only composition
urbanc
parents:
18435
diff
changeset
|
858 |
in [(("perm_compose",thms1 @ thms2),[])] end |
19139 | 859 |
||>> PureThy.add_thmss [(("perm_compose'",inst_pt_at [pt_perm_compose']),[])] |
860 |
||>> 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
|
861 |
||>> 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
|
862 |
||>> 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
|
863 |
||>> PureThy.add_thmss [(("exists_fresh'", inst_at [at_exists_fresh']),[])] |
24569 | 864 |
||>> PureThy.add_thmss |
865 |
let |
|
866 |
val thms1 = inst_pt_at [all_eqvt]; |
|
867 |
val thms2 = map (fold_rule [inductive_forall_def]) thms1 |
|
868 |
in |
|
869 |
[(("all_eqvt", thms1 @ thms2), [NominalThmDecls.eqvt_force_add])] |
|
870 |
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
|
871 |
||>> PureThy.add_thmss [(("ex_eqvt", inst_pt_at [ex_eqvt]),[NominalThmDecls.eqvt_force_add])] |
19972
89c5afe4139a
added more infrastructure for the recursion combinator
urbanc
parents:
19638
diff
changeset
|
872 |
||>> PureThy.add_thmss |
89c5afe4139a
added more infrastructure for the recursion combinator
urbanc
parents:
19638
diff
changeset
|
873 |
let val thms1 = inst_at [at_fresh] |
89c5afe4139a
added more infrastructure for the recursion combinator
urbanc
parents:
19638
diff
changeset
|
874 |
val thms2 = inst_dj [at_fresh_ineq] |
89c5afe4139a
added more infrastructure for the recursion combinator
urbanc
parents:
19638
diff
changeset
|
875 |
in [(("fresh_atm", thms1 @ thms2),[])] end |
19992 | 876 |
||>> PureThy.add_thmss |
20377
3baf326b2b5f
Removed non-trivial definitions from calc_atm theorem list.
berghofe
parents:
20179
diff
changeset
|
877 |
let val thms1 = filter |
3baf326b2b5f
Removed non-trivial definitions from calc_atm theorem list.
berghofe
parents:
20179
diff
changeset
|
878 |
(fn th => case prop_of th of _ $ _ $ Var _ => true | _ => false) |
3baf326b2b5f
Removed non-trivial definitions from calc_atm theorem list.
berghofe
parents:
20179
diff
changeset
|
879 |
(List.concat (List.concat perm_defs)) |
19993
e0a5783d708f
added simplification rules to the fresh_guess tactic
urbanc
parents:
19992
diff
changeset
|
880 |
in [(("calc_atm", (inst_at at_calc) @ thms1),[])] end |
18381
246807ef6dfb
changed the types in accordance with Florian's changes
urbanc
parents:
18366
diff
changeset
|
881 |
||>> PureThy.add_thmss |
18279
f7a18e2b10fc
made some of the theorem look-ups static (by using
urbanc
parents:
18262
diff
changeset
|
882 |
let val thms1 = inst_pt_at [abs_fun_pi] |
f7a18e2b10fc
made some of the theorem look-ups static (by using
urbanc
parents:
18262
diff
changeset
|
883 |
and thms2 = inst_pt_pt_at_cp [abs_fun_pi_ineq] |
22557
6775c71f1da0
added pt_bij' to the collection perm_swap and also added abs_perm to the collection of equivariance lemmas
urbanc
parents:
22536
diff
changeset
|
884 |
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
|
885 |
||>> PureThy.add_thmss |
18279
f7a18e2b10fc
made some of the theorem look-ups static (by using
urbanc
parents:
18262
diff
changeset
|
886 |
let val thms1 = inst_dj [dj_perm_forget] |
f7a18e2b10fc
made some of the theorem look-ups static (by using
urbanc
parents:
18262
diff
changeset
|
887 |
and thms2 = inst_dj [dj_pp_forget] |
f7a18e2b10fc
made some of the theorem look-ups static (by using
urbanc
parents:
18262
diff
changeset
|
888 |
in [(("perm_dj", thms1 @ thms2),[])] end |
18381
246807ef6dfb
changed the types in accordance with Florian's changes
urbanc
parents:
18366
diff
changeset
|
889 |
||>> PureThy.add_thmss |
18279
f7a18e2b10fc
made some of the theorem look-ups static (by using
urbanc
parents:
18262
diff
changeset
|
890 |
let val thms1 = inst_pt_at_fs [fresh_iff] |
18626 | 891 |
and thms2 = inst_pt_at [fresh_iff] |
892 |
and thms3 = inst_pt_pt_at_cp_dj [fresh_iff_ineq] |
|
893 |
in [(("abs_fresh", thms1 @ thms2 @ thms3),[])] end |
|
18381
246807ef6dfb
changed the types in accordance with Florian's changes
urbanc
parents:
18366
diff
changeset
|
894 |
||>> PureThy.add_thmss |
18279
f7a18e2b10fc
made some of the theorem look-ups static (by using
urbanc
parents:
18262
diff
changeset
|
895 |
let val thms1 = inst_pt_at [abs_fun_supp] |
f7a18e2b10fc
made some of the theorem look-ups static (by using
urbanc
parents:
18262
diff
changeset
|
896 |
and thms2 = inst_pt_at_fs [abs_fun_supp] |
f7a18e2b10fc
made some of the theorem look-ups static (by using
urbanc
parents:
18262
diff
changeset
|
897 |
and thms3 = inst_pt_pt_at_cp_dj [abs_fun_supp_ineq] |
f7a18e2b10fc
made some of the theorem look-ups static (by using
urbanc
parents:
18262
diff
changeset
|
898 |
in [(("abs_supp", thms1 @ thms2 @ thms3),[])] end |
18396
b3e7da94b51f
added a fresh_left lemma that contains all instantiation
urbanc
parents:
18381
diff
changeset
|
899 |
||>> PureThy.add_thmss |
b3e7da94b51f
added a fresh_left lemma that contains all instantiation
urbanc
parents:
18381
diff
changeset
|
900 |
let val thms1 = inst_pt_at [fresh_left] |
b3e7da94b51f
added a fresh_left lemma that contains all instantiation
urbanc
parents:
18381
diff
changeset
|
901 |
and thms2 = inst_pt_pt_at_cp [fresh_left_ineq] |
b3e7da94b51f
added a fresh_left lemma that contains all instantiation
urbanc
parents:
18381
diff
changeset
|
902 |
in [(("fresh_left", thms1 @ thms2),[])] end |
18426 | 903 |
||>> PureThy.add_thmss |
19548 | 904 |
let val thms1 = inst_pt_at [fresh_right] |
905 |
and thms2 = inst_pt_pt_at_cp [fresh_right_ineq] |
|
906 |
in [(("fresh_right", thms1 @ thms2),[])] end |
|
907 |
||>> PureThy.add_thmss |
|
18426 | 908 |
let val thms1 = inst_pt_at [fresh_bij] |
22418
49e2d9744ae1
major update of the nominal package; there is now an infrastructure
urbanc
parents:
22274
diff
changeset
|
909 |
and thms2 = inst_pt_pt_at_cp [fresh_bij_ineq] |
19972
89c5afe4139a
added more infrastructure for the recursion combinator
urbanc
parents:
19638
diff
changeset
|
910 |
in [(("fresh_bij", thms1 @ thms2),[])] end |
89c5afe4139a
added more infrastructure for the recursion combinator
urbanc
parents:
19638
diff
changeset
|
911 |
||>> PureThy.add_thmss |
89c5afe4139a
added more infrastructure for the recursion combinator
urbanc
parents:
19638
diff
changeset
|
912 |
let val thms1 = inst_pt_at [fresh_eqvt] |
22535
cbee450f88a6
added extended the lemma for equivariance of freshness
urbanc
parents:
22418
diff
changeset
|
913 |
and thms2 = inst_pt_pt_at_cp_dj [fresh_eqvt_ineq] |
cbee450f88a6
added extended the lemma for equivariance of freshness
urbanc
parents:
22418
diff
changeset
|
914 |
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
|
915 |
||>> PureThy.add_thmss |
49e2d9744ae1
major update of the nominal package; there is now an infrastructure
urbanc
parents:
22274
diff
changeset
|
916 |
let val thms1 = inst_pt_at [in_eqvt] |
49e2d9744ae1
major update of the nominal package; there is now an infrastructure
urbanc
parents:
22274
diff
changeset
|
917 |
in [(("in_eqvt", thms1),[NominalThmDecls.eqvt_add])] end |
49e2d9744ae1
major update of the nominal package; there is now an infrastructure
urbanc
parents:
22274
diff
changeset
|
918 |
||>> PureThy.add_thmss |
49e2d9744ae1
major update of the nominal package; there is now an infrastructure
urbanc
parents:
22274
diff
changeset
|
919 |
let val thms1 = inst_pt_at [eq_eqvt] |
49e2d9744ae1
major update of the nominal package; there is now an infrastructure
urbanc
parents:
22274
diff
changeset
|
920 |
in [(("eq_eqvt", thms1),[NominalThmDecls.eqvt_add])] end |
49e2d9744ae1
major update of the nominal package; there is now an infrastructure
urbanc
parents:
22274
diff
changeset
|
921 |
||>> PureThy.add_thmss |
49e2d9744ae1
major update of the nominal package; there is now an infrastructure
urbanc
parents:
22274
diff
changeset
|
922 |
let val thms1 = inst_pt_at [set_diff_eqvt] |
49e2d9744ae1
major update of the nominal package; there is now an infrastructure
urbanc
parents:
22274
diff
changeset
|
923 |
in [(("set_diff_eqvt", thms1),[NominalThmDecls.eqvt_add])] end |
19638
4358b88a9d12
added the lemmas pt_fresh_aux and pt_fresh_aux_ineq
urbanc
parents:
19635
diff
changeset
|
924 |
||>> PureThy.add_thmss |
4358b88a9d12
added the lemmas pt_fresh_aux and pt_fresh_aux_ineq
urbanc
parents:
19635
diff
changeset
|
925 |
let val thms1 = inst_pt_at [fresh_aux] |
22786 | 926 |
and thms2 = inst_pt_pt_at_cp_dj [fresh_perm_app_ineq] |
927 |
in [(("fresh_aux", thms1 @ thms2),[])] end |
|
22785
fab155c8ce46
add two lemmas dealing with freshness on permutations.
narboux
parents:
22768
diff
changeset
|
928 |
||>> PureThy.add_thmss |
fab155c8ce46
add two lemmas dealing with freshness on permutations.
narboux
parents:
22768
diff
changeset
|
929 |
let val thms1 = inst_pt_at [fresh_perm_app] |
22786 | 930 |
and thms2 = inst_pt_pt_at_cp_dj [fresh_perm_app_ineq] |
22794
d0f483fd57dd
add the lemma supp_eqvt and put the right attribute
narboux
parents:
22786
diff
changeset
|
931 |
in [(("fresh_perm_app", thms1 @ thms2),[])] end |
d0f483fd57dd
add the lemma supp_eqvt and put the right attribute
narboux
parents:
22786
diff
changeset
|
932 |
||>> PureThy.add_thmss |
d0f483fd57dd
add the lemma supp_eqvt and put the right attribute
narboux
parents:
22786
diff
changeset
|
933 |
let val thms1 = inst_pt_at [pt_perm_supp] |
d0f483fd57dd
add the lemma supp_eqvt and put the right attribute
narboux
parents:
22786
diff
changeset
|
934 |
and thms2 = inst_pt_pt_at_cp [pt_perm_supp_ineq] |
d0f483fd57dd
add the lemma supp_eqvt and put the right attribute
narboux
parents:
22786
diff
changeset
|
935 |
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
|
936 |
||>> PureThy.add_thmss [(("fin_supp",fs_axs),[])] |
18068 | 937 |
end; |
938 |
||
22418
49e2d9744ae1
major update of the nominal package; there is now an infrastructure
urbanc
parents:
22274
diff
changeset
|
939 |
in |
49e2d9744ae1
major update of the nominal package; there is now an infrastructure
urbanc
parents:
22274
diff
changeset
|
940 |
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
|
941 |
(pt_ax_classes ~~ |
49e2d9744ae1
major update of the nominal package; there is now an infrastructure
urbanc
parents:
22274
diff
changeset
|
942 |
fs_ax_classes ~~ |
49e2d9744ae1
major update of the nominal package; there is now an infrastructure
urbanc
parents:
22274
diff
changeset
|
943 |
map (fn cls => full_ak_names ~~ cls) cp_ax_classes))) thy33 |
18068 | 944 |
end; |
945 |
||
946 |
||
947 |
(* syntax und parsing *) |
|
948 |
structure P = OuterParse and K = OuterKeyword; |
|
949 |
||
24867 | 950 |
val _ = |
18068 | 951 |
OuterSyntax.command "atom_decl" "Declare new kinds of atoms" K.thy_decl |
952 |
(Scan.repeat1 P.name >> (Toplevel.theory o create_nom_typedecls)); |
|
953 |
||
954 |
end; |