bug fix in the context reduction rule for cast (cpm)

[helm.git] / matita / matita / contribs / lambdadelta / ground_2 / steps / rtc_max.ma

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 46f457536456d6e034d544f3e4c1e604101bb6e0..471f2d6ba10baa7fe1ad0f614a3970e6a1cd4d5c 100644 (file)
--- 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⦄ →
@@ -83,7 +87,7 @@ 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 ****************************************************)