X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground%2Fcounters%2Frtc_ism_plus.ma;h=3e6e819c37686473f3e3588a7e5cf93ecba5b1e6;hb=3c78efa39d4783f83638b1aabe8d776d83aabf35;hp=5453b63fbeb436746c8b2ff5ac2cb2172ae5031b;hpb=dbc57c92512c04b3fd88f8289bb8dbe99b2f90e0;p=helm.git

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 5453b63fb..3e6e819c3 100644
--- 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):  𝐌❪n1,c1❫ → 𝐌❪n2,c2❫ → 𝐌❪n1+n2,c1+c2❫.
+lemma rtc_ism_plus (n1) (n2) (c1) (c2):  𝐌❨n1,c1❩ → 𝐌❨n2,c2❩ → 𝐌❨n1+n2,c1+c2❩.
 #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): 𝐌❪𝟎,c1❫ → 𝐌❪n,c2❫ → 𝐌❪n,c1+c2❫.
+lemma rtc_ism_plus_zero_sn (n) (c1) (c2): 𝐌❨𝟎,c1❩ → 𝐌❨n,c2❩ → 𝐌❨n,c1+c2❩.
 #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): 𝐌❪n,c1❫ → 𝐌❪𝟎,c2❫ → 𝐌❪n,c1+c2❫.
+lemma rtc_ism_plus_zero_dx (n) (c1) (c2): 𝐌❨n,c1❩ → 𝐌❨𝟎,c2❩ → 𝐌❨n,c1+c2❩.
 /2 width=1 by rtc_ism_plus/ qed.
 
-lemma rtc_ism_succ (n) (c): 𝐌❪n,c❫ → 𝐌❪↑n,c+𝟘𝟙❫.
-#n #c #H >nplus_one_dx
+lemma rtc_ism_succ (n) (c): 𝐌❨n,c❩ → 𝐌❨↑n,c+𝟘𝟙❩.
+#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): 𝐌❪n,c1 + c2❫ →
-      ∃∃n1,n2. 𝐌❪n1,c1❫ & 𝐌❪n2,c2❫ & n1 + n2 = n.
+lemma rtc_ism_inv_plus (n) (c1) (c2): 𝐌❨n,c1 + c2❩ →
+      ∃∃n1,n2. 𝐌❨n1,c1❩ & 𝐌❨n2,c2❩ & 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): 𝐌❪n,c1 + c2❫ → 𝐌❪𝟎,c2❫ → 𝐌❪n,c1❫.
+lemma rtc_ism_inv_plus_zero_dx (n) (c1) (c2): 𝐌❨n,c1 + c2❩ → 𝐌❨𝟎,c2❩ → 𝐌❨n,c1❩.
 #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): 𝐌❪n,c1 + c2❫ → 𝐌❪𝟏,c2❫ →
-      ∃∃m. 𝐌❪m,c1❫ & n = ↑m.
+lemma rtc_ism_inv_plus_unit_dx (n) (c1) (c2): 𝐌❨n,c1 + c2❩ → 𝐌❨𝟏,c2❩ →
+      ∃∃m. 𝐌❨m,c1❩ & 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