update in ground static_2 basic_2 apps_2

[helm.git] / matita / matita / contribs / lambdadelta / ground / counters / rtc_ism_plus.ma

diff --git a/matita/matita/contribs/lambdadelta/ground/counters/rtc_ism_plus.ma b/matita/matita/contribs/lambdadelta/ground/counters/rtc_ism_plus.ma
index 4451820f9bf73a7a67758780eab3149994e6db6b..3e6e819c37686473f3e3588a7e5cf93ecba5b1e6 100644 (file)
--- a/matita/matita/contribs/lambdadelta/ground/counters/rtc_ism_plus.ma
+++ b/matita/matita/contribs/lambdadelta/ground/counters/rtc_ism_plus.ma
@@ -20,40 +20,40 @@ include "ground/counters/rtc_ism.ma".
 
 (* Constructions with rtc_plus **********************************************)
 
-lemma rtc_ism_plus (n1) (n2) (c1) (c2):  ð\9d\90\8câ\9dªn1,c1â\9d« â\86\92 ð\9d\90\8câ\9dªn2,c2â\9d« â\86\92 ð\9d\90\8câ\9dªn1+n2,c1+c2â\9d«.
+lemma rtc_ism_plus (n1) (n2) (c1) (c2):  ð\9d\90\8câ\9d¨n1,c1â\9d© â\86\92 ð\9d\90\8câ\9d¨n2,c2â\9d© â\86\92 ð\9d\90\8câ\9d¨n1+n2,c1+c2â\9d©.
 #n1 #n2 #c1 #c2 * #ri1 #rs1 #H1 * #ri2 #rs2 #H2 destruct
 /2 width=3 by ex1_2_intro/
 qed.
 
-lemma rtc_ism_plus_zero_sn (n) (c1) (c2): ð\9d\90\8câ\9dªð\9d\9f\8e,c1â\9d« â\86\92 ð\9d\90\8câ\9dªn,c2â\9d« â\86\92 ð\9d\90\8câ\9dªn,c1+c2â\9d«.
+lemma rtc_ism_plus_zero_sn (n) (c1) (c2): ð\9d\90\8câ\9d¨ð\9d\9f\8e,c1â\9d© â\86\92 ð\9d\90\8câ\9d¨n,c2â\9d© â\86\92 ð\9d\90\8câ\9d¨n,c1+c2â\9d©.
 #n #c1 #c2 #H1 #H2 >(nplus_zero_sn n) /2 width=1 by rtc_ism_plus/
 qed.
 
-lemma rtc_ism_plus_zero_dx (n) (c1) (c2): ð\9d\90\8câ\9dªn,c1â\9d« â\86\92 ð\9d\90\8câ\9dªð\9d\9f\8e,c2â\9d« â\86\92 ð\9d\90\8câ\9dªn,c1+c2â\9d«.
+lemma rtc_ism_plus_zero_dx (n) (c1) (c2): ð\9d\90\8câ\9d¨n,c1â\9d© â\86\92 ð\9d\90\8câ\9d¨ð\9d\9f\8e,c2â\9d© â\86\92 ð\9d\90\8câ\9d¨n,c1+c2â\9d©.
 /2 width=1 by rtc_ism_plus/ qed.
 
-lemma rtc_ism_succ (n) (c): ð\9d\90\8câ\9dªn,câ\9d« â\86\92 ð\9d\90\8câ\9dªâ\86\91n,c+ð\9d\9f\98ð\9d\9f\99â\9d«.
+lemma rtc_ism_succ (n) (c): ð\9d\90\8câ\9d¨n,câ\9d© â\86\92 ð\9d\90\8câ\9d¨â\86\91n,c+ð\9d\9f\98ð\9d\9f\99â\9d©.
 #n #c #H >nplus_unit_dx
 /2 width=1 by rtc_ism_plus/
 qed.
 
 (* Inversions with rtc_plus *************************************************)
 
-lemma rtc_ism_inv_plus (n) (c1) (c2): ð\9d\90\8câ\9dªn,c1 + c2â\9d« →
-      â\88\83â\88\83n1,n2. ð\9d\90\8câ\9dªn1,c1â\9d« & ð\9d\90\8câ\9dªn2,c2â\9d« & n1 + n2 = n.
+lemma rtc_ism_inv_plus (n) (c1) (c2): ð\9d\90\8câ\9d¨n,c1 + c2â\9d© →
+      â\88\83â\88\83n1,n2. ð\9d\90\8câ\9d¨n1,c1â\9d© & ð\9d\90\8câ\9d¨n2,c2â\9d© & n1 + n2 = n.
 #n #c1 #c2 * #ri #rs #H
 elim (rtc_plus_inv_dx … H) -H #ri1 #rs1 #ti1 #ts1 #ri2 #rs2 #ti2 #ts2 #_ #_ #H1 #H2 #H3 #H4
 elim (eq_inv_nplus_zero … H1) -H1 /3 width=5 by ex3_2_intro, ex1_2_intro/
 qed-.
 
-lemma rtc_ism_inv_plus_zero_dx (n) (c1) (c2): ð\9d\90\8câ\9dªn,c1 + c2â\9d« â\86\92 ð\9d\90\8câ\9dªð\9d\9f\8e,c2â\9d« â\86\92 ð\9d\90\8câ\9dªn,c1â\9d«.
+lemma rtc_ism_inv_plus_zero_dx (n) (c1) (c2): ð\9d\90\8câ\9d¨n,c1 + c2â\9d© â\86\92 ð\9d\90\8câ\9d¨ð\9d\9f\8e,c2â\9d© â\86\92 ð\9d\90\8câ\9d¨n,c1â\9d©.
 #n #c1 #c2 #H #H2
 elim (rtc_ism_inv_plus … H) -H #n1 #n2 #Hn1 #Hn2 #H destruct
 lapply (rtc_ism_inj … Hn2 H2) -c2 #H destruct //
 qed-.
 
-lemma rtc_ism_inv_plus_unit_dx (n) (c1) (c2): ð\9d\90\8câ\9dªn,c1 + c2â\9d« â\86\92 ð\9d\90\8câ\9dªð\9d\9f\8f,c2â\9d« →
-      â\88\83â\88\83m. ð\9d\90\8câ\9dªm,c1â\9d« & n = ↑m.
+lemma rtc_ism_inv_plus_unit_dx (n) (c1) (c2): ð\9d\90\8câ\9d¨n,c1 + c2â\9d© â\86\92 ð\9d\90\8câ\9d¨ð\9d\9f\8f,c2â\9d© →
+      â\88\83â\88\83m. ð\9d\90\8câ\9d¨m,c1â\9d© & n = ↑m.
 #n #c1 #c2 #H #H2
 elim (rtc_ism_inv_plus … H) -H #n1 #n2 #Hn1 #Hn2 #H destruct
 lapply (rtc_ism_inj … Hn2 H2) -c2 #H destruct