X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground_2%2Fsteps%2Frtc_ist_plus.ma;h=4380420c38a3c235b422903945f144c3205270c5;hb=1fd63df4c77f5c24024769432ea8492748b4ac79;hp=c17eec5b6795f050ec319ed3e0424184cd10ea0b;hpb=0af3592e3a85a4bb82c5c6df259cf9ab117ba0b1;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_ist_plus.ma b/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_ist_plus.ma
index c17eec5b6..4380420c3 100644
--- a/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_ist_plus.ma
+++ b/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_ist_plus.ma
@@ -12,6 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
+include "ground_2/xoa/ex_3_2.ma".
 include "ground_2/steps/rtc_plus.ma".
 include "ground_2/steps/rtc_ist.ma".
 
@@ -19,25 +20,25 @@ include "ground_2/steps/rtc_ist.ma".
 
 (* Properties with test for t-transition counter ****************************)
 
-lemma ist_plus: ∀n1,n2,c1,c2. 𝐓⦃n1,c1⦄ → 𝐓⦃n2,c2⦄ → 𝐓⦃n1+n2,c1+c2⦄.
+lemma ist_plus: ∀n1,n2,c1,c2. 𝐓❪n1,c1❫ → 𝐓❪n2,c2❫ → 𝐓❪n1+n2,c1+c2❫.
 #n1 #n2 #c1 #c2 #H1 #H2 destruct //
 qed.
 
-lemma ist_plus_O1: ∀n,c1,c2. 𝐓⦃0,c1⦄ → 𝐓⦃n,c2⦄ → 𝐓⦃n,c1+c2⦄.
+lemma ist_plus_O1: ∀n,c1,c2. 𝐓❪0,c1❫ → 𝐓❪n,c2❫ → 𝐓❪n,c1+c2❫.
 /2 width=1 by ist_plus/ qed.
 
-lemma ist_plus_O2: ∀n,c1,c2. 𝐓⦃n,c1⦄ → 𝐓⦃0,c2⦄ → 𝐓⦃n,c1+c2⦄.
+lemma ist_plus_O2: ∀n,c1,c2. 𝐓❪n,c1❫ → 𝐓❪0,c2❫ → 𝐓❪n,c1+c2❫.
 #n #c1 #c2 #H1 #H2 >(plus_n_O n) /2 width=1 by ist_plus/
 qed.
 
-lemma ist_succ: ∀n,c. 𝐓⦃n,c⦄ → 𝐓⦃↑n,c+𝟘𝟙⦄.
+lemma ist_succ: ∀n,c. 𝐓❪n,c❫ → 𝐓❪↑n,c+𝟘𝟙❫.
 /2 width=1 by ist_plus/ qed.
 
 (* Inversion properties with test for constrained rt-transition counter *****)
 
 lemma ist_inv_plus:
-      ∀n,c1,c2. 𝐓⦃n,c1 + c2⦄ →
-      ∃∃n1,n2. 𝐓⦃n1,c1⦄ & 𝐓⦃n2,c2⦄ & n1 + n2 = n.
+      ∀n,c1,c2. 𝐓❪n,c1 + c2❫ →
+      ∃∃n1,n2. 𝐓❪n1,c1❫ & 𝐓❪n2,c2❫ & n1 + n2 = n.
 #n #c1 #c2 #H
 elim (plus_inv_dx … H) -H #ri1 #rs1 #ti1 #ts1 #ri2 #rs2 #ti2 #ts2 #H1 #H2 #H3 #H4 #H5 #H6 destruct
 elim (plus_inv_O3 … H1) -H1 #H11 #H12 destruct
@@ -46,15 +47,21 @@ elim (plus_inv_O3 … H3) -H3 #H31 #H32 destruct
 /3 width=5 by ex3_2_intro/
 qed-.
 
-lemma ist_inv_plus_O_dx: ∀n,c1,c2. 𝐓⦃n,c1 + c2⦄ → 𝐓⦃0,c2⦄ → 𝐓⦃n,c1⦄.
+lemma ist_inv_plus_O_dx: ∀n,c1,c2. 𝐓❪n,c1 + c2❫ → 𝐓❪0,c2❫ → 𝐓❪n,c1❫.
 #n #c1 #c2 #H #H2
 elim (ist_inv_plus … H) -H #n1 #n2 #Hn1 #Hn2 #H destruct //
 qed-.
 
 lemma ist_inv_plus_SO_dx:
-      ∀n,c1,c2. 𝐓⦃n,c1 + c2⦄ → 𝐓⦃1,c2⦄ →
-      ∃∃m. 𝐓⦃m,c1⦄ & n = ↑m.
+      ∀n,c1,c2. 𝐓❪n,c1 + c2❫ → 𝐓❪1,c2❫ →
+      ∃∃m. 𝐓❪m,c1❫ & n = ↑m.
 #n #c1 #c2 #H #H2 destruct
 elim (ist_inv_plus … H) -H #n1 #n2 #Hn1 #Hn2 #H destruct
 /2 width=3 by ex2_intro/
 qed-.
+
+lemma ist_inv_plus_10_dx: ∀n,c. 𝐓❪n,c+𝟙𝟘❫ → ⊥.
+#n #c #H
+elim (ist_inv_plus … H) -H #n1 #n2 #_ #H #_
+/2 width=2 by ist_inv_10/
+qed-.