update in ground_2, static_2, basic_2, apps_2, alpha_1

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

diff --git a/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_plus.ma b/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_plus.ma
index 49d25453c3d236dc1914d7e28ecf130cb15b498c..6993f318d1c7176c7efef18da714a6562a6476ab 100644 (file)
--- a/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_plus.ma
+++ b/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_plus.ma
@@ -58,38 +58,38 @@ qed.
 
 (* Properties with test for constrained rt-transition counter ***************)
 
-lemma isrt_plus: 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¦\83n1+n2,c1+c2â¦\84.
+lemma isrt_plus: 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\9dªn1+n2,c1+c2â\9d«.
 #n1 #n2 #c1 #c2 * #ri1 #rs1 #H1 * #ri2 #rs2 #H2 destruct
 /2 width=3 by ex1_2_intro/
 qed.
 
-lemma isrt_plus_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,c1+c2â¦\84.
+lemma isrt_plus_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,c1+c2â\9d«.
 /2 width=1 by isrt_plus/ qed.
 
-lemma isrt_plus_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,c1+c2â¦\84.
+lemma isrt_plus_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,c1+c2â\9d«.
 #n #c1 #c2 #H1 #H2 >(plus_n_O n) /2 width=1 by isrt_plus/
 qed.
 
-lemma isrt_succ: â\88\80n,c. ð\9d\90\91ð\9d\90\93â¦\83n,câ¦\84 â\86\92 ð\9d\90\91ð\9d\90\93â¦\83â\86\91n,c+ð\9d\9f\98ð\9d\9f\99â¦\84.
+lemma isrt_succ: â\88\80n,c. ð\9d\90\91ð\9d\90\93â\9dªn,câ\9d« â\86\92 ð\9d\90\91ð\9d\90\93â\9dªâ\86\91n,c+ð\9d\9f\98ð\9d\9f\99â\9d«.
 /2 width=1 by isrt_plus/ qed.
 
 (* Inversion properties with test for constrained rt-transition counter *****)
 
-lemma isrt_inv_plus: â\88\80n,c1,c2. ð\9d\90\91ð\9d\90\93â¦\83n,c1 + 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_plus: â\88\80n,c1,c2. ð\9d\90\91ð\9d\90\93â\9dªn,c1 + 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 (plus_inv_dx … H) -H #ri1 #rs1 #ti1 #ts1 #ri2 #rs2 #ti2 #ts2 #_ #_ #H1 #H2 #H3 #H4
 elim (plus_inv_O3 … H1) -H1 /3 width=5 by ex3_2_intro, ex1_2_intro/
 qed-.
 
-lemma isrt_inv_plus_O_dx: â\88\80n,c1,c2. ð\9d\90\91ð\9d\90\93â¦\83n,c1 + 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_plus_O_dx: â\88\80n,c1,c2. ð\9d\90\91ð\9d\90\93â\9dªn,c1 + 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_plus … H) -H #n1 #n2 #Hn1 #Hn2 #H destruct
 lapply (isrt_inj … Hn2 H2) -c2 #H destruct //
 qed-.
 
-lemma isrt_inv_plus_SO_dx: â\88\80n,c1,c2. ð\9d\90\91ð\9d\90\93â¦\83n,c1 + c2â¦\84 â\86\92 ð\9d\90\91ð\9d\90\93â¦\831,c2â¦\84 →
-                           â\88\83â\88\83m. ð\9d\90\91ð\9d\90\93â¦\83m,c1â¦\84 & n = ↑m.
+lemma isrt_inv_plus_SO_dx: â\88\80n,c1,c2. ð\9d\90\91ð\9d\90\93â\9dªn,c1 + c2â\9d« â\86\92 ð\9d\90\91ð\9d\90\93â\9dª1,c2â\9d« →
+                           â\88\83â\88\83m. ð\9d\90\91ð\9d\90\93â\9dªm,c1â\9d« & n = ↑m.
 #n #c1 #c2 #H #H2
 elim (isrt_inv_plus … H) -H #n1 #n2 #Hn1 #Hn2 #H destruct
 lapply (isrt_inj … Hn2 H2) -c2 #H destruct