--- a/Nominal/Manual/Term8.thy	Sat Dec 17 17:08:47 2011 +0000
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,74 +0,0 @@
-theory Term8
-imports "../../Nominal-General/Nominal2_Atoms" "../../Nominal-General/Nominal2_Eqvt" "../../Nominal-General/Nominal2_Supp" "../Abs" "../Perm" "../Fv" "../Rsp" "../Lift" "../../Attic/Prove"
-begin
-
-atom_decl name
-
-datatype rfoo8 =
-  Foo0 "name"
-| Foo1 "rbar8" "rfoo8" --"bind bv(bar) in foo"
-and rbar8 =
-  Bar0 "name"
-| Bar1 "name" "name" "rbar8" --"bind second name in b"
-
-primrec
-  rbv8
-where
-  "rbv8 (Bar0 x) = {}"
-| "rbv8 (Bar1 v x b) = {atom v}"
-
-setup {* snd o define_raw_perms (Datatype.the_info @{theory} "Term8.rfoo8") 2 *}
-print_theorems
-
-ML define_fv_alpha_export
-local_setup {* snd o define_fv_alpha_export (Datatype.the_info @{theory} "Term8.rfoo8") [
-  [[], [(SOME (@{term rbv8}, false), 0, 1, AlphaGen)]], [[], [(NONE, 1, 2, AlphaGen)]]]
-  [(@{term "rbv8"}, 1, [[], [(0, NONE), (2, SOME @{term rbv8})]])] *}
-notation
-  alpha_rfoo8 ("_ \<approx>f' _" [100, 100] 100) and
-  alpha_rbar8 ("_ \<approx>b' _" [100, 100] 100)
-thm alpha_rfoo8_alpha_rbar8_alpha_rbv8.intros[no_vars]
-thm fv_rbar8.simps fv_rfoo8_fv_rbv8.simps
-
-inductive
-  alpha8f :: "rfoo8 \<Rightarrow> rfoo8 \<Rightarrow> bool" ("_ \<approx>f _" [100, 100] 100)
-and
-  alpha8b :: "rbar8 \<Rightarrow> rbar8 \<Rightarrow> bool" ("_ \<approx>b _" [100, 100] 100)
-and
-  alpha8bv:: "rbar8 \<Rightarrow> rbar8 \<Rightarrow> bool" ("_ \<approx>bv _" [100, 100] 100)
-where
-  "name = namea \<Longrightarrow> Foo0 name \<approx>f Foo0 namea"
-| "\<exists>pi. rbar8 \<approx>bv rbar8a \<and>
-     (rbv8 rbar8, rfoo8) \<approx>gen alpha8f fv_rfoo8 pi (rbv8 rbar8a, rfoo8a) \<Longrightarrow>
-  Foo1 rbar8 rfoo8 \<approx>f Foo1 rbar8a rfoo8a"
-| "name = namea \<Longrightarrow> Bar0 name \<approx>b Bar0 namea"
-| "\<exists>pi. name1 = name1a \<and> ({atom name2}, rbar8) \<approx>gen alpha8b fv_rbv8 pi ({atom name2a}, rbar8a) \<Longrightarrow>
-  Bar1 name1 name2 rbar8 \<approx>b Bar1 name1a name2a rbar8a"
-| "name = namea \<Longrightarrow> alpha8bv (Bar0 name) (Bar0 namea)"
-| "({atom name2}, rbar8) \<approx>gen alpha8b fv_rbv8 pi ({atom name2a}, rbar8a) \<Longrightarrow>
-   alpha8bv (Bar1 name1 name2 rbar8) (Bar1 name1a name2a rbar8a)"
-
-lemma "(alpha8b ===> op =) rbv8 rbv8"
-  apply rule
-  apply (induct_tac a b rule: alpha8f_alpha8b_alpha8bv.inducts(2))
-  apply (simp_all)
-  done
-
-lemma fv_rbar8_rsp_hlp: "x \<approx>b y \<Longrightarrow> fv_rbar8 x = fv_rbar8 y"
-  apply (erule alpha8f_alpha8b_alpha8bv.inducts(2))
-  apply (simp_all add: alpha_gen)
-  apply clarify
-  sorry
-
-lemma "(alpha8b ===> op =) fv_rbar8 fv_rbar8"
-  apply simp apply clarify apply (simp add: fv_rbar8_rsp_hlp)
-  done
-
-lemma "(alpha8f ===> op =) fv_rfoo8 fv_rfoo8"
-  apply simp apply clarify
-  apply (erule alpha8f_alpha8b_alpha8bv.inducts(1))
-  apply (simp_all add: alpha_gen fv_rbar8_rsp_hlp)
-
-done
-
-end