X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground_2%2Fsteps%2Frtc_max.ma;h=058b1a3c0163f0660ce5b3af805225558f6257c6;hb=e880d6eab5e1700f4a625ddcd7d0fa8f0cce2dcc;hp=46f457536456d6e034d544f3e4c1e604101bb6e0;hpb=89ea663d91904f483f8248cfaeaed5eda8715da2;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_max.ma b/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_max.ma
index 46f457536..058b1a3c0 100644
--- a/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_max.ma
+++ b/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_max.ma
@@ -71,6 +71,10 @@ lemma isrt_max_O2: ∀n,c1,c2. 𝐑𝐓⦃n, c1⦄ → 𝐑𝐓⦃0, c2⦄ → 
 #n #c1 #c2 #H1 #H2 >(max_O2 n) /2 width=1 by isrt_max/
 qed.
 
+lemma isrt_max_idem1: ∀n,c1,c2. 𝐑𝐓⦃n, c1⦄ → 𝐑𝐓⦃n, c2⦄ → 𝐑𝐓⦃n, c1∨c2⦄.
+#n #c1 #c2 #H1 #H2 >(idempotent_max n) /2 width=1 by isrt_max/
+qed.
+
 (* Inversion properties with test for constrained rt-transition counter *****)
 
 lemma isrt_inv_max: ∀n,c1,c2. 𝐑𝐓⦃n, c1 ∨ c2⦄ →
@@ -80,15 +84,22 @@ elim (max_inv_dx … H) -H #ri1 #rs1 #ti1 #ts1 #ri2 #rs2 #ti2 #ts2 #_ #_ #H1 #H2
 elim (max_inv_O3 … H1) -H1 /3 width=5 by ex3_2_intro, ex1_2_intro/
 qed-.
 
+lemma isrt_O_inv_max: ∀c1,c2. 𝐑𝐓⦃0, c1 ∨ c2⦄ → ∧∧ 𝐑𝐓⦃0, c1⦄ & 𝐑𝐓⦃0, c2⦄.
+#c1 #c2 #H
+elim (isrt_inv_max … H) -H #n1 #n2 #Hn1 #Hn2 #H
+elim (max_inv_O3 … H) -H #H1 #H2 destruct
+/2 width=1 by conj/
+qed-.
+
 lemma isrt_inv_max_O_dx: ∀n,c1,c2. 𝐑𝐓⦃n, c1 ∨ c2⦄ → 𝐑𝐓⦃0, c2⦄ → 𝐑𝐓⦃n, c1⦄.
 #n #c1 #c2 #H #H2
 elim (isrt_inv_max … H) -H #n1 #n2 #Hn1 #Hn2 #H destruct
-lapply (isrt_mono … Hn2 H2) -c2 #H destruct //
+lapply (isrt_inj … Hn2 H2) -c2 #H destruct //
 qed-.
 
 (* Properties with shift ****************************************************)
 
-lemma max_shift: ∀c1,c2. ((↓c1) ∨ (↓c2)) = ↓(c1∨c2).
+lemma max_shift: ∀c1,c2. ((↕*c1) ∨ (↕*c2)) = ↕*(c1∨c2).
 * #ri1 #rs1 #ti1 #ts1 * #ri2 #rs2 #ti2 #ts2
 <shift_rew <shift_rew <shift_rew <max_rew //
 qed.