update in ground_2, static_2, basic_2, apps_2, alpha_1

[helm.git] / matita / matita / contribs / lambdadelta / ground_2 / steps / rtc_ist_max.ma

diff --git a/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_ist_max.ma b/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_ist_max.ma
index ba31b7faaefc5301a461a195745e4f621cef51d5..6c161f653afe4342892e3740d1313969f2558135 100644 (file)
--- a/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_ist_max.ma
+++ b/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_ist_max.ma
@@ -19,26 +19,26 @@ include "ground_2/steps/rtc_ist.ma".
 
 (* Properties with test for t-transition counter ****************************)
 
-lemma ist_max: â\88\80n1,n2,c1,c2. ð\9d\90\93â¦\83n1,c1â¦\84 â\86\92 ð\9d\90\93â¦\83n2,c2â¦\84 â\86\92 ð\9d\90\93â¦\83n1â\88¨n2,c1â\88¨c2â¦\84.
+lemma ist_max: â\88\80n1,n2,c1,c2. ð\9d\90\93â\9dªn1,c1â\9d« â\86\92 ð\9d\90\93â\9dªn2,c2â\9d« â\86\92 ð\9d\90\93â\9dªn1â\88¨n2,c1â\88¨c2â\9d«.
 #n1 #n2 #c1 #c2 #H1 #H2 destruct //
 qed.
 
-lemma ist_max_O1: â\88\80n,c1,c2. ð\9d\90\93â¦\830,c1â¦\84 â\86\92 ð\9d\90\93â¦\83n,c2â¦\84 â\86\92 ð\9d\90\93â¦\83n,c1â\88¨c2â¦\84.
+lemma ist_max_O1: â\88\80n,c1,c2. ð\9d\90\93â\9dª0,c1â\9d« â\86\92 ð\9d\90\93â\9dªn,c2â\9d« â\86\92 ð\9d\90\93â\9dªn,c1â\88¨c2â\9d«.
 /2 width=1 by ist_max/ qed.
 
-lemma ist_max_O2: â\88\80n,c1,c2. ð\9d\90\93â¦\83n,c1â¦\84 â\86\92 ð\9d\90\93â¦\830,c2â¦\84 â\86\92 ð\9d\90\93â¦\83n,c1â\88¨c2â¦\84.
+lemma ist_max_O2: â\88\80n,c1,c2. ð\9d\90\93â\9dªn,c1â\9d« â\86\92 ð\9d\90\93â\9dª0,c2â\9d« â\86\92 ð\9d\90\93â\9dªn,c1â\88¨c2â\9d«.
 #n #c1 #c2 #H1 #H2 >(max_O2 n) /2 width=1 by ist_max/
 qed.
 
-lemma ist_max_idem1: â\88\80n,c1,c2. ð\9d\90\93â¦\83n,c1â¦\84 â\86\92 ð\9d\90\93â¦\83n,c2â¦\84 â\86\92 ð\9d\90\93â¦\83n,c1â\88¨c2â¦\84.
+lemma ist_max_idem1: â\88\80n,c1,c2. ð\9d\90\93â\9dªn,c1â\9d« â\86\92 ð\9d\90\93â\9dªn,c2â\9d« â\86\92 ð\9d\90\93â\9dªn,c1â\88¨c2â\9d«.
 #n #c1 #c2 #H1 #H2 >(idempotent_max n) /2 width=1 by ist_max/
 qed.
 
 (* Inversion properties with test for t-transition counter ******************)
 
 lemma ist_inv_max:
-      â\88\80n,c1,c2. ð\9d\90\93â¦\83n,c1 â\88¨ c2â¦\84 →
-      â\88\83â\88\83n1,n2. ð\9d\90\93â¦\83n1,c1â¦\84 & ð\9d\90\93â¦\83n2,c2â¦\84 & (n1 ∨ n2) = n.
+      â\88\80n,c1,c2. ð\9d\90\93â\9dªn,c1 â\88¨ c2â\9d« →
+      â\88\83â\88\83n1,n2. ð\9d\90\93â\9dªn1,c1â\9d« & ð\9d\90\93â\9dªn2,c2â\9d« & (n1 ∨ n2) = n.
 #n #c1 #c2 #H
 elim (max_inv_dx … H) -H #ri1 #rs1 #ti1 #ts1 #ri2 #rs2 #ti2 #ts2 #H1 #H2 #H3 #H4 #H5 #H6 destruct
 elim (max_inv_O3 … H1) -H1 #H11 #H12 destruct
@@ -47,14 +47,14 @@ elim (max_inv_O3 … H3) -H3 #H31 #H32 destruct
 /2 width=5 by ex3_2_intro/
 qed-.
 
-lemma ist_O_inv_max: â\88\80c1,c2. ð\9d\90\93â¦\830,c1 â\88¨ c2â¦\84 â\86\92 â\88§â\88§ ð\9d\90\93â¦\830,c1â¦\84 & ð\9d\90\93â¦\830,c2â¦\84.
+lemma ist_O_inv_max: â\88\80c1,c2. ð\9d\90\93â\9dª0,c1 â\88¨ c2â\9d« â\86\92 â\88§â\88§ ð\9d\90\93â\9dª0,c1â\9d« & ð\9d\90\93â\9dª0,c2â\9d«.
 #c1 #c2 #H
 elim (ist_inv_max … H) -H #n1 #n2 #Hn1 #Hn2 #H
 elim (max_inv_O3 … H) -H #H1 #H2 destruct
 /2 width=1 by conj/
 qed-.
 
-lemma ist_inv_max_O_dx: â\88\80n,c1,c2. ð\9d\90\93â¦\83n,c1 â\88¨ c2â¦\84 â\86\92 ð\9d\90\93â¦\830,c2â¦\84 â\86\92 ð\9d\90\93â¦\83n,c1â¦\84.
+lemma ist_inv_max_O_dx: â\88\80n,c1,c2. ð\9d\90\93â\9dªn,c1 â\88¨ c2â\9d« â\86\92 ð\9d\90\93â\9dª0,c2â\9d« â\86\92 ð\9d\90\93â\9dªn,c1â\9d«.
 #n #c1 #c2 #H #H2
 elim (ist_inv_max … H) -H #n1 #n2 #Hn1 #Hn2 #H destruct //
 qed-.