nominal2: Nominal/Ex/Classical.thy@d66430c7c4f1 (annotated)

1792 c29a139410d2 properly separated the example from my PhD and gave the correct alpha-equivalence relation (according to the paper) Christian Urban <urbanc@in.tum.de> parents: diff changeset	1	theory Classical
2454 9ffee4eb1ae1 renamed NewParser to Nominal2 Christian Urban <urbanc@in.tum.de> parents: 2436 diff changeset	2	imports "../Nominal2"
1792 c29a139410d2 properly separated the example from my PhD and gave the correct alpha-equivalence relation (according to the paper) Christian Urban <urbanc@in.tum.de> parents: diff changeset	3	begin
c29a139410d2 properly separated the example from my PhD and gave the correct alpha-equivalence relation (according to the paper) Christian Urban <urbanc@in.tum.de> parents: diff changeset	4
2617 e44551d067e6 properly exported strong exhaust theorem; cleaned up some examples Christian Urban <urbanc@in.tum.de> parents: 2454 diff changeset	5	(* example from Urban's PhD *)
1792 c29a139410d2 properly separated the example from my PhD and gave the correct alpha-equivalence relation (according to the paper) Christian Urban <urbanc@in.tum.de> parents: diff changeset	6
c29a139410d2 properly separated the example from my PhD and gave the correct alpha-equivalence relation (according to the paper) Christian Urban <urbanc@in.tum.de> parents: diff changeset	7	atom_decl name
c29a139410d2 properly separated the example from my PhD and gave the correct alpha-equivalence relation (according to the paper) Christian Urban <urbanc@in.tum.de> parents: diff changeset	8	atom_decl coname
c29a139410d2 properly separated the example from my PhD and gave the correct alpha-equivalence relation (according to the paper) Christian Urban <urbanc@in.tum.de> parents: diff changeset	9
c29a139410d2 properly separated the example from my PhD and gave the correct alpha-equivalence relation (according to the paper) Christian Urban <urbanc@in.tum.de> parents: diff changeset	10	nominal_datatype trm =
2889 0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	11	Ax "name" "coname"
2891 304dfe6cc83a the simplifier can simplify "sort (atom a)" if a is a concrete atom type declared with atom_decl Christian Urban <urbanc@in.tum.de> parents: 2889 diff changeset	12	\| Cut c::"coname" t1::"trm" n::"name" t2::"trm" bind n in t1, bind c in t2
2889 0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	13	("Cut <_>._ '(_')._" [100,100,100,100] 100)
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	14	\| NotR n::"name" t::"trm" "coname" bind n in t
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	15	("NotR '(_')._ _" [100,100,100] 100)
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	16	\| NotL c::"coname" t::"trm" "name" bind c in t
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	17	("NotL <_>._ _" [100,100,100] 100)
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	18	\| AndR c1::"coname" t1::"trm" c2::"coname" t2::"trm" "coname" bind c1 in t1, bind c2 in t2
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	19	("AndR <_>._ <_>._ _" [100,100,100,100,100] 100)
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	20	\| AndL1 n::"name" t::"trm" "name" bind n in t
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	21	("AndL1 '(_')._ _" [100,100,100] 100)
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	22	\| AndL2 n::"name" t::"trm" "name" bind n in t
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	23	("AndL2 '(_')._ _" [100,100,100] 100)
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	24	\| OrR1 c::"coname" t::"trm" "coname" bind c in t
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	25	("OrR1 <_>._ _" [100,100,100] 100)
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	26	\| OrR2 c::"coname" t::"trm" "coname" bind c in t
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	27	("OrR2 <_>._ _" [100,100,100] 100)
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	28	\| OrL n1::"name" t1::"trm" n2::"name" t2::"trm" "name" bind n1 in t1, bind n2 in t2
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	29	("OrL '(_')._ '(_')._ _" [100,100,100,100,100] 100)
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	30	\| ImpL c::"coname" t1::"trm" n::"name" t2::"trm" "name" bind c in t1, bind n in t2
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	31	("ImpL <_>._ '(_')._ _" [100,100,100,100,100] 100)
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	32	\| ImpR c::"coname" n::"name" t::"trm" "coname" bind n c in t
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	33	("ImpR '(_').<_>._ _" [100,100,100,100] 100)
1792 c29a139410d2 properly separated the example from my PhD and gave the correct alpha-equivalence relation (according to the paper) Christian Urban <urbanc@in.tum.de> parents: diff changeset	34
2436 3885dc2669f9 cleaned up (almost completely) the examples Christian Urban <urbanc@in.tum.de> parents: 2434 diff changeset	35	thm trm.distinct
3885dc2669f9 cleaned up (almost completely) the examples Christian Urban <urbanc@in.tum.de> parents: 2434 diff changeset	36	thm trm.induct
3885dc2669f9 cleaned up (almost completely) the examples Christian Urban <urbanc@in.tum.de> parents: 2434 diff changeset	37	thm trm.exhaust
2617 e44551d067e6 properly exported strong exhaust theorem; cleaned up some examples Christian Urban <urbanc@in.tum.de> parents: 2454 diff changeset	38	thm trm.strong_exhaust
e44551d067e6 properly exported strong exhaust theorem; cleaned up some examples Christian Urban <urbanc@in.tum.de> parents: 2454 diff changeset	39	thm trm.strong_exhaust[simplified]
2436 3885dc2669f9 cleaned up (almost completely) the examples Christian Urban <urbanc@in.tum.de> parents: 2434 diff changeset	40	thm trm.fv_defs
3885dc2669f9 cleaned up (almost completely) the examples Christian Urban <urbanc@in.tum.de> parents: 2434 diff changeset	41	thm trm.bn_defs
3885dc2669f9 cleaned up (almost completely) the examples Christian Urban <urbanc@in.tum.de> parents: 2434 diff changeset	42	thm trm.perm_simps
3885dc2669f9 cleaned up (almost completely) the examples Christian Urban <urbanc@in.tum.de> parents: 2434 diff changeset	43	thm trm.eq_iff
3885dc2669f9 cleaned up (almost completely) the examples Christian Urban <urbanc@in.tum.de> parents: 2434 diff changeset	44	thm trm.fv_bn_eqvt
3885dc2669f9 cleaned up (almost completely) the examples Christian Urban <urbanc@in.tum.de> parents: 2434 diff changeset	45	thm trm.size_eqvt
2617 e44551d067e6 properly exported strong exhaust theorem; cleaned up some examples Christian Urban <urbanc@in.tum.de> parents: 2454 diff changeset	46	thm trm.supp
e44551d067e6 properly exported strong exhaust theorem; cleaned up some examples Christian Urban <urbanc@in.tum.de> parents: 2454 diff changeset	47	thm trm.supp[simplified]
1792 c29a139410d2 properly separated the example from my PhD and gave the correct alpha-equivalence relation (according to the paper) Christian Urban <urbanc@in.tum.de> parents: diff changeset	48
2900 d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	49	lemma Abs_lst1_fcb2:
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	50	fixes a b :: "'a :: at"
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	51	and S T :: "'b :: fs"
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	52	and c::"'c::fs"
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	53	assumes e: "(Abs_lst [atom a] T) = (Abs_lst [atom b] S)"
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	54	and fcb: "\<And>a T. atom a \<sharp> f a T c"
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	55	and fresh: "{atom a, atom b} \<sharp>* c"
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	56	and p1: "\<And>p. supp p \<sharp>* c \<Longrightarrow> p \<bullet> (f a T c) = f (p \<bullet> a) (p \<bullet> T) c"
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	57	and p2: "\<And>p. supp p \<sharp>* c \<Longrightarrow> p \<bullet> (f b S c) = f (p \<bullet> b) (p \<bullet> S) c"
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	58	shows "f a T c = f b S c"
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	59	proof -
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	60	have fin1: "finite (supp (f a T c))"
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	61	apply(rule_tac S="supp (a, T, c)" in supports_finite)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	62	apply(simp add: supports_def)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	63	apply(simp add: fresh_def[symmetric])
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	64	apply(clarify)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	65	apply(subst p1)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	66	apply(simp add: supp_swap fresh_star_def)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	67	apply(simp add: swap_fresh_fresh fresh_Pair)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	68	apply(simp add: finite_supp)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	69	done
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	70	have fin2: "finite (supp (f b S c))"
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	71	apply(rule_tac S="supp (b, S, c)" in supports_finite)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	72	apply(simp add: supports_def)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	73	apply(simp add: fresh_def[symmetric])
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	74	apply(clarify)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	75	apply(subst p2)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	76	apply(simp add: supp_swap fresh_star_def)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	77	apply(simp add: swap_fresh_fresh fresh_Pair)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	78	apply(simp add: finite_supp)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	79	done
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	80	obtain d::"'a::at" where fr: "atom d \<sharp> (a, b, S, T, c, f a T c, f b S c)"
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	81	using obtain_fresh'[where x="(a, b, S, T, c, f a T c, f b S c)"]
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	82	apply(auto simp add: finite_supp supp_Pair fin1 fin2)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	83	done
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	84	have "(a \<leftrightarrow> d) \<bullet> (Abs_lst [atom a] T) = (b \<leftrightarrow> d) \<bullet> (Abs_lst [atom b] S)"
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	85	apply(simp (no_asm_use) only: flip_def)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	86	apply(subst swap_fresh_fresh)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	87	apply(simp add: Abs_fresh_iff)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	88	using fr
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	89	apply(simp add: Abs_fresh_iff)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	90	apply(subst swap_fresh_fresh)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	91	apply(simp add: Abs_fresh_iff)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	92	using fr
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	93	apply(simp add: Abs_fresh_iff)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	94	apply(rule e)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	95	done
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	96	then have "Abs_lst [atom d] ((a \<leftrightarrow> d) \<bullet> T) = Abs_lst [atom d] ((b \<leftrightarrow> d) \<bullet> S)"
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	97	apply (simp add: swap_atom flip_def)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	98	done
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	99	then have eq: "(a \<leftrightarrow> d) \<bullet> T = (b \<leftrightarrow> d) \<bullet> S"
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	100	by (simp add: Abs1_eq_iff)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	101	have "f a T c = (a \<leftrightarrow> d) \<bullet> f a T c"
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	102	unfolding flip_def
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	103	apply(rule sym)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	104	apply(rule swap_fresh_fresh)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	105	using fcb[where a="a"]
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	106	apply(simp)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	107	using fr
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	108	apply(simp add: fresh_Pair)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	109	done
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	110	also have "... = f d ((a \<leftrightarrow> d) \<bullet> T) c"
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	111	unfolding flip_def
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	112	apply(subst p1)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	113	using fresh fr
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	114	apply(simp add: supp_swap fresh_star_def fresh_Pair)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	115	apply(simp)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	116	done
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	117	also have "... = f d ((b \<leftrightarrow> d) \<bullet> S) c" using eq by simp
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	118	also have "... = (b \<leftrightarrow> d) \<bullet> f b S c"
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	119	unfolding flip_def
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	120	apply(subst p2)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	121	using fresh fr
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	122	apply(simp add: supp_swap fresh_star_def fresh_Pair)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	123	apply(simp)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	124	done
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	125	also have "... = f b S c"
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	126	apply(rule flip_fresh_fresh)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	127	using fcb[where a="b"]
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	128	apply(simp)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	129	using fr
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	130	apply(simp add: fresh_Pair)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	131	done
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	132	finally show ?thesis by simp
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	133	qed
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	134
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	135
2899 fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	136	lemma swap_at_base_sort:
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	137	"sort_of (atom a) \<noteq> sort_of (atom x) \<Longrightarrow> sort_of (atom b) \<noteq> sort_of (atom x)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	138	\<Longrightarrow> (atom a \<rightleftharpoons> atom b) \<bullet> x = x"
2892 a9f3600c9ae6 Speed-up the completeness proof. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 2891 diff changeset	139	by (rule swap_fresh_fresh) (simp_all add: fresh_at_base(1))
a9f3600c9ae6 Speed-up the completeness proof. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 2891 diff changeset	140
2899 fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	141	nominal_primrec
2889 0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	142	crename :: "trm \<Rightarrow> coname \<Rightarrow> coname \<Rightarrow> trm" ("_[_\<turnstile>c>_]" [100,100,100] 100)
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	143	where
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	144	"(Ax x a)[d\<turnstile>c>e] = (if a=d then Ax x e else Ax x a)"
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	145	\| "atom a \<sharp> (d, e) \<Longrightarrow> (Cut <a>.M (x).N)[d\<turnstile>c>e] = Cut <a>.(M[d\<turnstile>c>e]) (x).(N[d\<turnstile>c>e])"
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	146	\| "(NotR (x).M a)[d\<turnstile>c>e] = (if a=d then NotR (x).(M[d\<turnstile>c>e]) e else NotR (x).(M[d\<turnstile>c>e]) a)"
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	147	\| "atom a \<sharp> (d, e) \<Longrightarrow> (NotL <a>.M x)[d\<turnstile>c>e] = (NotL <a>.(M[d\<turnstile>c>e]) x)"
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	148	\| "\<lbrakk>atom a \<sharp> (d, e); atom b \<sharp> (d, e)\<rbrakk> \<Longrightarrow> (AndR <a>.M <b>.N c)[d\<turnstile>c>e] =
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	149	(if c=d then AndR <a>.(M[d\<turnstile>c>e]) <b>.(N[d \<turnstile>c>e]) e else AndR <a>.(M[d\<turnstile>c>e]) <b>.(N[d\<turnstile>c>e]) c)"
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	150	\| "(AndL1 (x).M y)[d\<turnstile>c>e] = AndL1 (x).(M[d\<turnstile>c>e]) y"
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	151	\| "(AndL2 (x).M y)[d\<turnstile>c>e] = AndL2 (x).(M[d\<turnstile>c>e]) y"
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	152	\| "atom a \<sharp> (d, e) \<Longrightarrow> (OrR1 <a>.M b)[d\<turnstile>c>e] =
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	153	(if b=d then OrR1 <a>.(M[d\<turnstile>c>e]) e else OrR1 <a>.(M[d\<turnstile>c>e]) b)"
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	154	\| "atom a \<sharp> (d, e) \<Longrightarrow> (OrR2 <a>.M b)[d\<turnstile>c>e] =
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	155	(if b=d then OrR2 <a>.(M[d\<turnstile>c>e]) e else OrR2 <a>.(M[d\<turnstile>c>e]) b)"
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	156	\| "(OrL (x).M (y).N z)[d\<turnstile>c>e] = OrL (x).(M[d\<turnstile>c>e]) (y).(N[d\<turnstile>c>e]) z"
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	157	\| "atom a \<sharp> (d, e) \<Longrightarrow> (ImpR (x).<a>.M b)[d\<turnstile>c>e] =
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	158	(if b=d then ImpR (x).<a>.(M[d\<turnstile>c>e]) e else ImpR (x).<a>.(M[d\<turnstile>c>e]) b)"
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	159	\| "atom a \<sharp> (d, e) \<Longrightarrow> (ImpL <a>.M (x).N y)[d\<turnstile>c>e] = ImpL <a>.(M[d\<turnstile>c>e]) (x).(N[d\<turnstile>c>e]) y"
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	160	apply(simp only: eqvt_def)
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	161	apply(simp only: crename_graph_def)
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	162	apply (rule, perm_simp, rule)
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	163	apply(rule TrueI)
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	164	-- "covered all cases"
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	165	apply(case_tac x)
0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	166	apply(rule_tac y="a" and c="(b, c)" in trm.strong_exhaust)
2892 a9f3600c9ae6 Speed-up the completeness proof. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 2891 diff changeset	167	apply (simp_all add: fresh_star_def)[12]
a9f3600c9ae6 Speed-up the completeness proof. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 2891 diff changeset	168	apply(metis)+
2891 304dfe6cc83a the simplifier can simplify "sort (atom a)" if a is a concrete atom type declared with atom_decl Christian Urban <urbanc@in.tum.de> parents: 2889 diff changeset	169	-- "compatibility"
2889 0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	170	apply(simp_all)
2891 304dfe6cc83a the simplifier can simplify "sort (atom a)" if a is a concrete atom type declared with atom_decl Christian Urban <urbanc@in.tum.de> parents: 2889 diff changeset	171	apply(rule conjI)
2892 a9f3600c9ae6 Speed-up the completeness proof. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 2891 diff changeset	172	apply(elim conjE)
2900 d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	173	apply(erule_tac c="(da,ea)" in Abs_lst1_fcb2)
2891 304dfe6cc83a the simplifier can simplify "sort (atom a)" if a is a concrete atom type declared with atom_decl Christian Urban <urbanc@in.tum.de> parents: 2889 diff changeset	174	apply(simp add: Abs_fresh_iff)
2900 d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	175	apply(simp add: fresh_at_base fresh_star_def fresh_Pair)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	176	apply(simp add: eqvt_at_def atom_eqvt fresh_star_Pair perm_supp_eq)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	177	apply(simp add: eqvt_at_def atom_eqvt fresh_star_Pair perm_supp_eq)
2899 fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	178	apply(elim conjE)
2900 d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	179	apply(erule_tac c="(da,ea)" in Abs_lst1_fcb2)
2899 fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	180	apply(simp add: Abs_fresh_iff)
2900 d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	181	apply(simp add: fresh_at_base fresh_star_def fresh_Pair)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	182	apply(simp add: eqvt_at_def atom_eqvt fresh_star_Pair perm_supp_eq)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	183	apply(simp add: eqvt_at_def atom_eqvt fresh_star_Pair perm_supp_eq)
d66430c7c4f1 an alternative FCB for Abs_lst1; seems simpler but not as simple as I thought; not sure whether it generalises to multiple binders. Christian Urban <urbanc@in.tum.de> parents: 2899 diff changeset	184	-- "old fcb"
2899 fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	185	apply(elim conjE)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	186	apply(subgoal_tac "eqvt_at crename_sumC (M, da, ea)")
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	187	apply(erule Abs_lst1_fcb)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	188	apply(simp add: Abs_fresh_iff)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	189	apply(simp add: Abs_fresh_iff)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	190	apply(erule fresh_eqvt_at)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	191	apply(simp add: finite_supp)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	192	apply(simp add: fresh_Pair fresh_at_base(1))
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	193	apply(simp add: eqvt_at_def swap_at_base_sort swap_fresh_fresh)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	194	apply simp
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	195	apply(blast)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	196	apply(elim conjE)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	197	apply(erule Abs_lst1_fcb)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	198	apply(simp add: Abs_fresh_iff)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	199	apply(simp add: Abs_fresh_iff)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	200	apply(erule fresh_eqvt_at)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	201	apply(simp add: finite_supp)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	202	apply(simp add: fresh_Pair fresh_at_base(1))
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	203	apply(simp add: fresh_Pair)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	204	apply(simp add: eqvt_at_def swap_at_base_sort swap_fresh_fresh)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	205	apply simp
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	206	apply(erule conjE)+
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	207	apply(rule conjI)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	208	apply(subgoal_tac "eqvt_at crename_sumC (M, da, ea)")
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	209	apply(erule Abs_lst1_fcb)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	210	apply(simp add: Abs_fresh_iff)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	211	apply(simp add: Abs_fresh_iff)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	212	apply(erule fresh_eqvt_at)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	213	apply(simp add: finite_supp)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	214	apply(simp add: fresh_Pair fresh_at_base(1))
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	215	apply(simp add: eqvt_at_def swap_at_base_sort swap_fresh_fresh)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	216	apply simp
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	217	apply(blast)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	218	apply(subgoal_tac "eqvt_at crename_sumC (N, da, ea)")
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	219	apply(erule Abs_lst1_fcb)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	220	apply(simp add: Abs_fresh_iff)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	221	apply(simp add: Abs_fresh_iff)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	222	apply(erule fresh_eqvt_at)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	223	apply(simp add: finite_supp)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	224	apply(simp add: fresh_Pair fresh_at_base(1))
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	225	apply(simp add: eqvt_at_def swap_at_base_sort swap_fresh_fresh)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	226	apply simp
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	227	apply(blast)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	228	apply(elim conjE)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	229	apply(erule Abs_lst1_fcb)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	230	apply(simp add: Abs_fresh_iff)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	231	apply(simp add: Abs_fresh_iff)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	232	apply(erule fresh_eqvt_at)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	233	apply(simp add: finite_supp)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	234	apply(simp add: fresh_Pair fresh_at_base(1))
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	235	apply(simp add: fresh_Pair)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	236	apply(simp add: eqvt_at_def swap_at_base_sort swap_fresh_fresh)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	237	apply simp
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	238	apply(elim conjE)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	239	apply(erule Abs_lst1_fcb)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	240	apply(simp add: Abs_fresh_iff)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	241	apply(simp add: Abs_fresh_iff)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	242	apply(erule fresh_eqvt_at)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	243	apply(simp add: finite_supp)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	244	apply(simp add: fresh_Pair fresh_at_base(1))
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	245	apply(simp add: fresh_Pair)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	246	apply(simp add: eqvt_at_def swap_at_base_sort swap_fresh_fresh)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	247	apply simp
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	248	apply(erule conjE)+
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	249	apply(subgoal_tac "eqvt_at crename_sumC (M, da, ea)")
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	250	apply(erule Abs_lst1_fcb)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	251	apply(simp add: Abs_fresh_iff)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	252	apply(simp add: Abs_fresh_iff)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	253	apply(erule fresh_eqvt_at)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	254	apply(simp add: finite_supp)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	255	apply(simp add: fresh_Pair fresh_at_base(1))
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	256	apply(simp add: eqvt_at_def swap_at_base_sort swap_fresh_fresh)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	257	apply simp
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	258	apply(blast)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	259	apply(erule conjE)+
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	260	apply(subgoal_tac "eqvt_at crename_sumC (M, da, ea)")
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	261	apply(erule Abs_lst1_fcb)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	262	apply(simp add: Abs_fresh_iff)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	263	apply(simp add: Abs_fresh_iff)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	264	apply(erule fresh_eqvt_at)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	265	apply(simp add: finite_supp)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	266	apply(simp add: fresh_Pair fresh_at_base(1))
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	267	apply(simp add: eqvt_at_def swap_at_base_sort swap_fresh_fresh)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	268	apply simp
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	269	apply(blast)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	270	apply(rule conjI)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	271	apply(elim conjE)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	272	apply(erule Abs_lst1_fcb)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	273	apply(simp add: Abs_fresh_iff)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	274	apply(simp add: Abs_fresh_iff)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	275	apply(erule fresh_eqvt_at)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	276	apply(simp add: finite_supp)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	277	apply(simp add: fresh_Pair fresh_at_base(1))
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	278	apply(simp add: eqvt_at_def swap_at_base_sort)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	279	apply simp
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	280	apply(elim conjE)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	281	apply(erule Abs_lst1_fcb)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	282	apply(simp add: Abs_fresh_iff)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	283	apply(simp add: Abs_fresh_iff)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	284	apply(erule fresh_eqvt_at)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	285	apply(simp add: finite_supp)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	286	apply(simp add: fresh_Pair fresh_at_base(1))
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	287	apply(simp add: fresh_Pair)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	288	apply(simp add: eqvt_at_def swap_at_base_sort swap_fresh_fresh)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	289	apply simp
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	290	apply(erule conjE)+
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	291	defer
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	292	apply(elim conjE)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	293	apply(rule conjI)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	294	apply(erule Abs_lst1_fcb)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	295	apply(simp add: Abs_fresh_iff)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	296	apply(simp add: Abs_fresh_iff)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	297	apply(erule fresh_eqvt_at)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	298	apply(simp add: finite_supp)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	299	apply(simp add: fresh_Pair fresh_at_base(1))
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	300	apply(simp add: eqvt_at_def swap_at_base_sort swap_fresh_fresh)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	301	apply simp
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	302	apply(erule Abs_lst1_fcb)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	303	apply(simp add: Abs_fresh_iff)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	304	apply(simp add: Abs_fresh_iff)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	305	apply(erule fresh_eqvt_at)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	306	apply(simp add: finite_supp)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	307	apply(simp add: fresh_Pair fresh_at_base(1))
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	308	apply(simp add: fresh_Pair)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	309	apply(simp add: eqvt_at_def swap_at_base_sort swap_fresh_fresh)
fe290b4e508f except for the interated binder case, finished definition in Calssical.thy Christian Urban <urbanc@in.tum.de> parents: 2892 diff changeset	310	apply simp
2889 0435c4dfd6f6 expanded the example Christian Urban <urbanc@in.tum.de> parents: 2617 diff changeset	311	oops
1792 c29a139410d2 properly separated the example from my PhD and gave the correct alpha-equivalence relation (according to the paper) Christian Urban <urbanc@in.tum.de> parents: diff changeset	312
c29a139410d2 properly separated the example from my PhD and gave the correct alpha-equivalence relation (according to the paper) Christian Urban <urbanc@in.tum.de> parents: diff changeset	313	end
c29a139410d2 properly separated the example from my PhD and gave the correct alpha-equivalence relation (according to the paper) Christian Urban <urbanc@in.tum.de> parents: diff changeset	314
c29a139410d2 properly separated the example from my PhD and gave the correct alpha-equivalence relation (according to the paper) Christian Urban <urbanc@in.tum.de> parents: diff changeset	315
c29a139410d2 properly separated the example from my PhD and gave the correct alpha-equivalence relation (according to the paper) Christian Urban <urbanc@in.tum.de> parents: diff changeset	316

author	Christian Urban <urbanc@in.tum.de>
	Sat, 25 Jun 2011 21:28:24 +0100 (2011-06-25)
changeset 2900	d66430c7c4f1
parent 2899	fe290b4e508f
child 2901	754aa24006c8
permissions	-rw-r--r--