 just about every minimal little bit of it and I Have you ever bookmarked to check out new things of your respective weblog a necessity read through website!!!!
Nicely This can be pleasant place for me to be aware of different things in one position. There is certainly lot of stuff imp source which give us with appealing facts and know-how about various things… купить в оренбурге
I go to your blogs and have up-to-date by means of the data you involve but today’s blog will be essentially the most considerable. Click the link
I are going to be not essentially lover concerning researching Even so this can be wonderful to acquire advised, look at far more intriguing factors with Locksmiths in Riverside.
I stop by your blogs and obtain current via the knowledge you include things like but today’s blog site would be essentially the most considerable.printing shop singapore
Bet365 have a variety of ongoing gives for their present customers. A single of these currently available for all buyers would be the mobile reward which happens to be talked over within the section quickly below this. Another popular one particular is the “in-play wager present” – we’ll publish a far more comprehensive evaluation on the details of this quickly, but in this article’s the crux of it.
I want to thank campusalam. It supports clever pupils with resources it motivates pupils to change there vision. And What's more, it talk about about faith difficulties Net based workforce administration software program
Thank you for another wonderful else could anybody get that sort of information in these an ideal strategy for creating? I've a presentation next 7 days, and I am to the search for these information.
Links
Visitors
- 133 Visitors[STATEMENT]
lemma GTT_trancl_sound_aux:
  assumes "p |\<in>| gta_der (TA (rules A) (eps A |\<union>| (\<Delta>_trancl B A))) s"
  shows "\<exists>t. (s, t) \<in> (gtt_lang (A, B))\<^sup>+ \<and> p |\<in>| gta_der A t"
[PROOF STATE]
proof (prove)
goal (1 subgoal):
 1. \<exists>t. (s, t) \<in> (gtt_lang (A, B))\<^sup>+ \<and> p |\<in>| gta_der A t
[PROOF STEP]
using assms
[PROOF STATE]
proof (prove)
using this:
p |\<in>| gta_der (TA (rules A) (eps A |\<union>| \<Delta>_trancl B A)) s

goal (1 subgoal):
 1. \<exists>t. (s, t) \<in> (gtt_lang (A, B))\<^sup>+ \<and> p |\<in>| gta_der A t
[PROOF STEP]
proof (induct s arbitrary: p)
[PROOF STATE]
proof (state)
goal (1 subgoal):
 1. \<And>x1a x2a p. \<lbrakk>\<And>x2aa p. \<lbrakk>x2aa \<in> set x2a; p |\<in>| gta_der (TA (rules A) (eps A |\<union>| \<Delta>_trancl B A)) x2aa\<rbrakk> \<Longrightarrow> \<exists>t. (x2aa, t) \<in> (gtt_lang (A, B))\<^sup>+ \<and> p |\<in>| gta_der A t; p |\<in>| gta_der (TA (rules A) (eps A |\<union>| \<Delta>_trancl B A)) (GFun x1a x2a)\<rbrakk> \<Longrightarrow> \<exists>t. (GFun x1a x2a, t) \<in> (gtt_lang (A, B))\<^sup>+ \<and> p |\<in>| gta_der A t
[PROOF STEP]
case (GFun f ss)
[PROOF STATE]
proof (state)
this:
\<lbrakk>?x2aa \<in> set ss;?p |\<in>| gta_der (TA (rules A) (eps A |\<union>| \<Delta>_trancl B A))?x2aa\<rbrakk> \<Longrightarrow> \<exists>t. (?x2aa, t) \<in> (gtt_lang (A, B))\<^sup>+ \<and>?p |\<in>| gta_der A t
p |\<in>| gta_der (TA (rules A) (eps A |\<union>| \<Delta>_trancl B A)) (GFun f ss)

goal (1 subgoal):
 1. \<And>x1a x2a p. \<lbrakk>\<And>x2aa p. \<lbrakk>x2aa \<in> set x2a; p |\<in>| gta_der (TA (rules A) (eps A |\<union>| \<Delta>_trancl B A)) x2aa\<rbrakk> \<Longrightarrow> \<exists>t. (x2aa, t) \<in> (gtt_lang (A, B))\<^sup>+ \<and> p |\<in>| gta_der A t; p |\<in>| gta_der (TA (rules A) (eps A |\<union>| \<Delta>_trancl B A)) (GFun x1a x2a)\<rbrakk> \<Longrightarrow> \<exists>t. (GFun x1a x2a, t) \<in> (gtt_lang (A, B))\<^sup>+ \<and> p |\<in>| gta_der A t
[PROOF STEP]
let?eps = "eps A |\<union>| \<Delta>_trancl B A"
[PROOF STATE]
proof (state)
goal (1 subgoal):
 1. \<And>x1a x2a p. \<lbrakk>\<And>x2aa p. \<lbrakk>x2aa \<in> set x2a; p |\<in>| gta_der (TA (rules A) (eps A |\<union>| \<Delta>_trancl B A)) x2aa\<rbrakk> \<Longrightarrow> \<exists>t. (x2aa, t) \<in> (gtt_lang (A, B))\<^sup>+ \<and> p |\<in>| gta_der A t; p |\<in>| gta_der (TA (rules A) (eps A |\<union>| \<Delta>_trancl B A)) (GFun x1a x2a)\<rbrakk> \<Longrightarrow> \<exists>t. (GFun x1a x2a, t) \<in> (gtt_lang (A, B))\<^sup>+ \<and> p |\<in>| gta_der A t
[PROOF STEP]
obtain qs q where q: "TA_rule f qs q |\<in>| rules A" "q = p \<or> (q, p) |\<in>|?eps|\<^sup>+|" "length qs = length ss"
   "\<And>i. i < length ss \<Longrightarrow> qs! i |\<in>| gta_der (TA (rules A)?eps) (ss! i)"
[PROOF STATE]
proof (prove)
goal (1 subgoal):
 1. (\<And>qs q. \<lbrakk>f qs \<rightarrow> q |\<in>| rules A; q = p \<or> (q, p) |\<in>| (eps A |\<union>| \<Delta>_trancl B A)|\<^sup>+|; length qs = length ss; \<And>i. i < length ss \<Longrightarrow> qs! i |\<in>| gta_der (TA (rules A) (eps A |\<union>| \<Delta>_trancl B A)) (ss! i)\<rbrakk> \<Longrightarrow> thesis) \<Longrightarrow> thesis
[PROOF STEP]
using GFun(2)
[PROOF STATE]
proof (prove)
using this:
p |\<in>| gta_der (TA (rules A) (eps A |\<union>| \<Delta>_trancl B A)) (GFun f ss)

goal (1 subgoal):
 1. (\<And>qs q. \<lbrakk>f qs \<rightarrow> q |\<in>| rules A; q = p \<or> (q, p) |\<in>| (eps A |\<