nominal2: Nominal/Ex/SingleLetFoo.thy@16834a4ca1bb (annotated)

2130 5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	1	theory SingleLetFoo
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	2	imports "../NewParser"
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	3	begin
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	4
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	5
2132 d74e08799b63 SingleLetFoo with everything. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 2130 diff changeset	6	declare [[STEPS = 5]]
2130 5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	7
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	8	atom_decl name
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	9
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	10	nominal_datatype trm =
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	11	Var "name"
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	12	\| App "trm" "trm"
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	13	\| Lam x::"name" t::"trm" bind_set x in t
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	14	\| Let a::"assg" t::"trm" bind_set "bn a" in t
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	15	\| Foo1 a1::"assg" a2::"assg" t::"trm" bind_set "bn a1" "bn a2" in t
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	16	\| Foo2 x::name a::"assg" t::"trm" bind_set x "bn a" in t
2133 16834a4ca1bb Proper fv/alpha for multiple compound binders Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 2132 diff changeset	17
2130 5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	18	and assg =
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	19	As "name" "trm"
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	20	binder
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	21	bn::"assg \<Rightarrow> atom set"
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	22	where
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	23	"bn (As x t) = {atom x}"
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	24
2132 d74e08799b63 SingleLetFoo with everything. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 2130 diff changeset	25	thm trm_assg.distinct
d74e08799b63 SingleLetFoo with everything. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 2130 diff changeset	26	thm trm_assg.eq_iff
d74e08799b63 SingleLetFoo with everything. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 2130 diff changeset	27	thm trm_assg.supp
d74e08799b63 SingleLetFoo with everything. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 2130 diff changeset	28	thm trm_assg.perm
2133 16834a4ca1bb Proper fv/alpha for multiple compound binders Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 2132 diff changeset	29	thm trm_assg.fv[simplified trm_assg.supp(1-2),no_vars]
2132 d74e08799b63 SingleLetFoo with everything. Cezary Kaliszyk <kaliszyk@in.tum.de> parents: 2130 diff changeset	30
2130 5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	31	thm permute_trm_raw_permute_assg_raw.simps
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	32	thm fv_trm_raw.simps fv_assg_raw.simps fv_bn_raw.simps[no_vars]
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	33
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	34	(* there is something wrong with the free variables *)
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	35
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	36	text {*
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	37	thm alpha_trm_raw_alpha_assg_raw_alpha_bn_raw.intros[no_vars]
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	38	*}
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	39
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	40	inductive
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	41	alpha_trm_raw and alpha_assg_raw and alpha_bn_raw
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	42	where
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	43	"name = namea \<Longrightarrow> alpha_trm_raw (Var_raw name) (Var_raw namea)"
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	44	\| "\<lbrakk>alpha_trm_raw trm_raw1 trm_raw1a; alpha_trm_raw trm_raw2 trm_raw2a\<rbrakk>
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	45	\<Longrightarrow> alpha_trm_raw (App_raw trm_raw1 trm_raw2) (App_raw trm_raw1a trm_raw2a)"
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	46	\| "\<exists>p. ({atom name}, trm_raw) \<approx>gen alpha_trm_raw fv_trm_raw p ({atom namea}, trm_rawa) \<Longrightarrow>
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	47	alpha_trm_raw (Lam_raw name trm_raw) (Lam_raw namea trm_rawa)"
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	48	\| "\<lbrakk>\<exists>p. (bn_raw assg_raw, trm_raw) \<approx>gen alpha_trm_raw fv_trm_raw p (bn_raw assg_rawa, trm_rawa);
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	49	alpha_bn_raw assg_raw assg_rawa\<rbrakk>
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	50	\<Longrightarrow> alpha_trm_raw (Let_raw assg_raw trm_raw) (Let_raw assg_rawa trm_rawa)"
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	51	\| "\<lbrakk>\<exists>p. (bn_raw assg_raw1 \<union> bn_raw ass_raw2, trm_raw) \<approx>gen alpha_trm_raw fv_trm_raw p
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	52	(bn_raw assg_raw1a \<union> bn_raw ass_raw2a, trm_rawa);
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	53	alpha_bn_raw assg_raw1 assg_raw1a; alpha_bn_raw assg_raw2 assg_raw2a\<rbrakk>
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	54	\<Longrightarrow> alpha_trm_raw (Foo1_raw assg_raw1 assg_raw2 trm_raw) (Foo1_raw assg_raw1a assg_raw2a trm_rawa)"
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	55	\| "\<lbrakk>\<exists>p. ({atom name} \<union> bn_raw assg_raw, trm_raw) \<approx>gen alpha_trm_raw fv_trm_raw p
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	56	({atom namea} \<union> bn_raw assg_rawa, trm_rawa);
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	57	alpha_bn_raw assg_raw assg_rawa\<rbrakk>
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	58	\<Longrightarrow> alpha_trm_raw (Foo2_raw name assg_raw trm_raw) (Foo2_raw namea assg_rawa trm_rawa)"
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	59
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	60	\| "\<lbrakk>name = namea; alpha_trm_raw trm_raw trm_rawa\<rbrakk>
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	61	\<Longrightarrow> alpha_assg_raw (As_raw name trm_raw) (As_raw namea trm_rawa)"
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	62	\| "alpha_trm_raw trm_raw trm_rawa \<Longrightarrow> alpha_bn_raw (As_raw name trm_raw) (As_raw namea trm_rawa)"
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	63
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	64	lemmas all = alpha_trm_raw_alpha_assg_raw_alpha_bn_raw.intros
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	65
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	66	lemma test: "p \<bullet> bn_raw \<equiv> bn_raw" sorry
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	67
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	68	lemma
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	69	assumes "distinct [x,y, z, u]"
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	70	shows "alpha_trm_raw (Foo2_raw z (As_raw x (Var_raw z)) (Var_raw z))
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	71	(Foo2_raw u (As_raw y (Var_raw z)) (Var_raw u))"
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	72	using assms
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	73	apply(rule_tac all)
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	74	apply(rule_tac x="(z \<leftrightarrow> u) + (x \<leftrightarrow> y)" in exI)
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	75	apply(simp only: alphas)
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	76	apply(rule conjI)
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	77	apply(simp)
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	78	apply(simp add: supp_at_base fresh_star_def)
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	79	apply(rule conjI)
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	80	apply(simp add: supp_at_base fresh_star_def)
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	81	apply(rule conjI)
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	82	apply(simp)
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	83	apply(rule all)
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	84	apply(simp)
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	85	unfolding flip_def
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	86	apply(perm_simp add: test)
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	87	unfolding flip_def[symmetric]
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	88	apply(simp)
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	89	apply(subst flip_at_base_simps(3))
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	90	apply(auto)[2]
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	91	apply(simp)
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	92	apply(rule all)
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	93	apply(rule all)
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	94	apply(simp)
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	95	done
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	96
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	97	lemma
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	98	assumes "distinct [x,y,z,u]"
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	99	shows "fv_trm_raw (Foo2_raw z (As_raw x (Var_raw z)) (Var_raw z)) = {atom z}"
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	100	using assms
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	101	apply(simp add: supp_at_base)
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	102
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	103
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	104	end
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	105
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	106
5111dadd1162 added a more instructive example - has some problems with fv though Christian Urban <urbanc@in.tum.de> parents: diff changeset	107

author	Cezary Kaliszyk <kaliszyk@in.tum.de>
	Fri, 14 May 2010 15:37:23 +0200
changeset 2133	16834a4ca1bb
parent 2132	d74e08799b63
child 2136	2fc55508a6d0
permissions	-rw-r--r--