update in ground_2, static_2, basic_2, apps_2, alpha_1

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

diff --git a/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_max.ma b/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_max.ma
index fb8fd9a42fdd7fab6a2d5a27686ae142d1b65ebc..e35ae558a80ef26d7e0e8a4785caf840b99731d7 100644 (file)
--- a/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_max.ma
+++ b/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_max.ma
@@ -61,46 +61,46 @@ qed.
 
 (* Properties with test for constrained rt-transition counter ***************)
 
-lemma isrt_max: â\88\80n1,n2,c1,c2. ð\9d\90\91ð\9d\90\93â¦\83n1,c1â¦\84 â\86\92 ð\9d\90\91ð\9d\90\93â¦\83n2,c2â¦\84 â\86\92 ð\9d\90\91ð\9d\90\93â¦\83n1â\88¨n2,c1â\88¨c2â¦\84.
+lemma isrt_max: â\88\80n1,n2,c1,c2. ð\9d\90\91ð\9d\90\93â\9dªn1,c1â\9d« â\86\92 ð\9d\90\91ð\9d\90\93â\9dªn2,c2â\9d« â\86\92 ð\9d\90\91ð\9d\90\93â\9dªn1â\88¨n2,c1â\88¨c2â\9d«.
 #n1 #n2 #c1 #c2 * #ri1 #rs1 #H1 * #ri2 #rs2 #H2 destruct
 /2 width=3 by ex1_2_intro/
 qed.
 
-lemma isrt_max_O1: â\88\80n,c1,c2. ð\9d\90\91ð\9d\90\93â¦\830,c1â¦\84 â\86\92 ð\9d\90\91ð\9d\90\93â¦\83n,c2â¦\84 â\86\92 ð\9d\90\91ð\9d\90\93â¦\83n,c1â\88¨c2â¦\84.
+lemma isrt_max_O1: â\88\80n,c1,c2. ð\9d\90\91ð\9d\90\93â\9dª0,c1â\9d« â\86\92 ð\9d\90\91ð\9d\90\93â\9dªn,c2â\9d« â\86\92 ð\9d\90\91ð\9d\90\93â\9dªn,c1â\88¨c2â\9d«.
 /2 width=1 by isrt_max/ qed.
 
-lemma isrt_max_O2: â\88\80n,c1,c2. ð\9d\90\91ð\9d\90\93â¦\83n,c1â¦\84 â\86\92 ð\9d\90\91ð\9d\90\93â¦\830,c2â¦\84 â\86\92 ð\9d\90\91ð\9d\90\93â¦\83n,c1â\88¨c2â¦\84.
+lemma isrt_max_O2: â\88\80n,c1,c2. ð\9d\90\91ð\9d\90\93â\9dªn,c1â\9d« â\86\92 ð\9d\90\91ð\9d\90\93â\9dª0,c2â\9d« â\86\92 ð\9d\90\91ð\9d\90\93â\9dªn,c1â\88¨c2â\9d«.
 #n #c1 #c2 #H1 #H2 >(max_O2 n) /2 width=1 by isrt_max/
 qed.
 
-lemma isrt_max_idem1: â\88\80n,c1,c2. ð\9d\90\91ð\9d\90\93â¦\83n,c1â¦\84 â\86\92 ð\9d\90\91ð\9d\90\93â¦\83n,c2â¦\84 â\86\92 ð\9d\90\91ð\9d\90\93â¦\83n,c1â\88¨c2â¦\84.
+lemma isrt_max_idem1: â\88\80n,c1,c2. ð\9d\90\91ð\9d\90\93â\9dªn,c1â\9d« â\86\92 ð\9d\90\91ð\9d\90\93â\9dªn,c2â\9d« â\86\92 ð\9d\90\91ð\9d\90\93â\9dªn,c1â\88¨c2â\9d«.
 #n #c1 #c2 #H1 #H2 >(idempotent_max n) /2 width=1 by isrt_max/
 qed.
 
 (* Inversion properties with test for constrained rt-transition counter *****)
 
-lemma isrt_inv_max: â\88\80n,c1,c2. ð\9d\90\91ð\9d\90\93â¦\83n,c1 â\88¨ c2â¦\84 →
-                    â\88\83â\88\83n1,n2. ð\9d\90\91ð\9d\90\93â¦\83n1,c1â¦\84 & ð\9d\90\91ð\9d\90\93â¦\83n2,c2â¦\84 & (n1 ∨ n2) = n.
+lemma isrt_inv_max: â\88\80n,c1,c2. ð\9d\90\91ð\9d\90\93â\9dªn,c1 â\88¨ c2â\9d« →
+                    â\88\83â\88\83n1,n2. ð\9d\90\91ð\9d\90\93â\9dªn1,c1â\9d« & ð\9d\90\91ð\9d\90\93â\9dªn2,c2â\9d« & (n1 ∨ n2) = n.
 #n #c1 #c2 * #ri #rs #H
 elim (max_inv_dx … H) -H #ri1 #rs1 #ti1 #ts1 #ri2 #rs2 #ti2 #ts2 #_ #_ #H1 #H2 #H3 #H4
 elim (max_inv_O3 … H1) -H1 /3 width=5 by ex3_2_intro, ex1_2_intro/
 qed-.
 
-lemma isrt_O_inv_max: â\88\80c1,c2. ð\9d\90\91ð\9d\90\93â¦\830,c1 â\88¨ c2â¦\84 â\86\92 â\88§â\88§ ð\9d\90\91ð\9d\90\93â¦\830,c1â¦\84 & ð\9d\90\91ð\9d\90\93â¦\830,c2â¦\84.
+lemma isrt_O_inv_max: â\88\80c1,c2. ð\9d\90\91ð\9d\90\93â\9dª0,c1 â\88¨ c2â\9d« â\86\92 â\88§â\88§ ð\9d\90\91ð\9d\90\93â\9dª0,c1â\9d« & ð\9d\90\91ð\9d\90\93â\9dª0,c2â\9d«.
 #c1 #c2 #H
 elim (isrt_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 isrt_inv_max_O_dx: â\88\80n,c1,c2. ð\9d\90\91ð\9d\90\93â¦\83n,c1 â\88¨ c2â¦\84 â\86\92 ð\9d\90\91ð\9d\90\93â¦\830,c2â¦\84 â\86\92 ð\9d\90\91ð\9d\90\93â¦\83n,c1â¦\84.
+lemma isrt_inv_max_O_dx: â\88\80n,c1,c2. ð\9d\90\91ð\9d\90\93â\9dªn,c1 â\88¨ c2â\9d« â\86\92 ð\9d\90\91ð\9d\90\93â\9dª0,c2â\9d« â\86\92 ð\9d\90\91ð\9d\90\93â\9dªn,c1â\9d«.
 #n #c1 #c2 #H #H2
 elim (isrt_inv_max … H) -H #n1 #n2 #Hn1 #Hn2 #H destruct
 lapply (isrt_inj … Hn2 H2) -c2 #H destruct //
 qed-.
 
-lemma isrt_inv_max_eq_t: â\88\80n,c1,c2. ð\9d\90\91ð\9d\90\93â¦\83n,c1 â\88¨ c2â¦\84 → eq_t c1 c2 →
-                         â\88§â\88§ ð\9d\90\91ð\9d\90\93â¦\83n,c1â¦\84 & ð\9d\90\91ð\9d\90\93â¦\83n,c2â¦\84.
+lemma isrt_inv_max_eq_t: â\88\80n,c1,c2. ð\9d\90\91ð\9d\90\93â\9dªn,c1 â\88¨ c2â\9d« → eq_t c1 c2 →
+                         â\88§â\88§ ð\9d\90\91ð\9d\90\93â\9dªn,c1â\9d« & ð\9d\90\91ð\9d\90\93â\9dªn,c2â\9d«.
 #n #c1 #c2 #H #Hc12
 elim (isrt_inv_max … H) -H #n1 #n2 #Hc1 #Hc2 #H destruct
 lapply (isrt_eq_t_trans … Hc1 … Hc12) -Hc12 #H
@@ -117,8 +117,8 @@ qed.
 
 (* Inversion lemmaswith shift ***********************************************)
 
-lemma isrt_inv_max_shift_sn: â\88\80n,c1,c2. ð\9d\90\91ð\9d\90\93â¦\83n,â\86\95*c1 â\88¨ c2â¦\84 →
-                             â\88§â\88§ ð\9d\90\91ð\9d\90\93â¦\830,c1â¦\84 & ð\9d\90\91ð\9d\90\93â¦\83n,c2â¦\84.
+lemma isrt_inv_max_shift_sn: â\88\80n,c1,c2. ð\9d\90\91ð\9d\90\93â\9dªn,â\86\95*c1 â\88¨ c2â\9d« →
+                             â\88§â\88§ ð\9d\90\91ð\9d\90\93â\9dª0,c1â\9d« & ð\9d\90\91ð\9d\90\93â\9dªn,c2â\9d«.
 #n #c1 #c2 #H
 elim (isrt_inv_max … H) -H #n1 #n2 #Hc1 #Hc2 #H destruct
 elim (isrt_inv_shift … Hc1) -Hc1 #Hc1 * -n1