update in ground static_2 basic_2 apps_2

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

diff --git a/matita/matita/contribs/lambdadelta/ground/counters/rtc_ism_max.ma b/matita/matita/contribs/lambdadelta/ground/counters/rtc_ism_max.ma
index 3e465528655b91f7a180ce8008df31b21a9ce44f..9de53ddb97e0e4820de6eddc0fd92ea4064f6bf2 100644 (file)
--- a/matita/matita/contribs/lambdadelta/ground/counters/rtc_ism_max.ma
+++ b/matita/matita/contribs/lambdadelta/ground/counters/rtc_ism_max.ma
@@ -20,46 +20,46 @@ include "ground/counters/rtc_ism.ma".
 
 (* Constructions with rtc_max ***********************************************)
 
-lemma rtc_ism_max (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\9dªn1â\88¨n2,c1â\88¨c2â\9d«.
+lemma rtc_ism_max (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¨n1â\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 rtc_ism_max_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,c1â\88¨c2â\9d«.
+lemma rtc_ism_max_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,c1â\88¨c2â\9d©.
 /2 width=1 by rtc_ism_max/ qed.
 
-lemma rtc_ism_max_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,c1â\88¨c2â\9d«.
+lemma rtc_ism_max_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,c1â\88¨c2â\9d©.
 #n #c1 #c2 #H1 #H2 >(nmax_zero_dx n) /2 width=1 by rtc_ism_max/
 qed.
 
-lemma rtc_ism_max_idem_sn (n) (c1) (c2): ð\9d\90\8câ\9dªn,c1â\9d« â\86\92 ð\9d\90\8câ\9dªn,c2â\9d« â\86\92 ð\9d\90\8câ\9dªn,c1â\88¨c2â\9d«.
+lemma rtc_ism_max_idem_sn (n) (c1) (c2): ð\9d\90\8câ\9d¨n,c1â\9d© â\86\92 ð\9d\90\8câ\9d¨n,c2â\9d© â\86\92 ð\9d\90\8câ\9d¨n,c1â\88¨c2â\9d©.
 #n #c1 #c2 #H1 #H2 >(nmax_idem n) /2 width=1 by rtc_ism_max/
 qed.
 
 (* Inversions with rtc_max **************************************************)
 
-lemma rtc_ism_inv_max (n) (c1) (c2): ð\9d\90\8câ\9dªn,c1 â\88¨ 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_max (n) (c1) (c2): ð\9d\90\8câ\9d¨n,c1 â\88¨ 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_max_inv_dx … H) -H #ri1 #rs1 #ti1 #ts1 #ri2 #rs2 #ti2 #ts2 #_ #_ #H1 #H2 #H3 #H4
 elim (eq_inv_nmax_zero … H1) -H1 /3 width=5 by ex3_2_intro, ex1_2_intro/
 qed-.
 
-lemma rtc_isr_inv_max (c1) (c2): ð\9d\90\8câ\9dªð\9d\9f\8e,c1 â\88¨ c2â\9d« â\86\92 â\88§â\88§ ð\9d\90\8câ\9dªð\9d\9f\8e,c1â\9d« & ð\9d\90\8câ\9dªð\9d\9f\8e,c2â\9d«.
+lemma rtc_isr_inv_max (c1) (c2): ð\9d\90\8câ\9d¨ð\9d\9f\8e,c1 â\88¨ c2â\9d© â\86\92 â\88§â\88§ ð\9d\90\8câ\9d¨ð\9d\9f\8e,c1â\9d© & ð\9d\90\8câ\9d¨ð\9d\9f\8e,c2â\9d©.
 #c1 #c2 #H
 elim (rtc_ism_inv_max … H) -H #n1 #n2 #Hn1 #Hn2 #H
 elim (eq_inv_nmax_zero … H) -H #H1 #H2 destruct
 /2 width=1 by conj/
 qed-.
 
-lemma rtc_ism_inv_max_zero_dx (n) (c1) (c2): ð\9d\90\8câ\9dªn,c1 â\88¨ 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_max_zero_dx (n) (c1) (c2): ð\9d\90\8câ\9d¨n,c1 â\88¨ 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_max … H) -H #n1 #n2 #Hn1 #Hn2 #H destruct
 lapply (rtc_ism_inj … Hn2 H2) -c2 #H destruct //
 qed-.
 
-lemma rtc_ism_inv_max_eq_t (n) (c1) (c2): ð\9d\90\8câ\9dªn,c1 â\88¨ c2â\9d« → rtc_eq_t c1 c2 →
-      â\88§â\88§ ð\9d\90\8câ\9dªn,c1â\9d« & ð\9d\90\8câ\9dªn,c2â\9d«.
+lemma rtc_ism_inv_max_eq_t (n) (c1) (c2): ð\9d\90\8câ\9d¨n,c1 â\88¨ c2â\9d© → rtc_eq_t c1 c2 →
+      â\88§â\88§ ð\9d\90\8câ\9d¨n,c1â\9d© & ð\9d\90\8câ\9d¨n,c2â\9d©.
 #n #c1 #c2 #H #Hc12
 elim (rtc_ism_inv_max … H) -H #n1 #n2 #Hc1 #Hc2 #H destruct
 lapply (rtc_ism_eq_t_trans … Hc1 … Hc12) -Hc12 #H