X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Frsx_rsx.ma;h=e9e8d7a8b567557d9d0713057797ff61aa80066e;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hp=0c31405a8982fe15d411d3b264c91fc835e435c3;hpb=adb9ba187619cea977d1d22971eba27eb437cd6a;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_rsx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_rsx.ma
index 0c31405a8..e9e8d7a8b 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_rsx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_rsx.ma
@@ -15,24 +15,24 @@
 include "basic_2/rt_transition/lpx_reqx.ma".
 include "basic_2/rt_computation/rsx.ma".
 
-(* STRONGLY NORMALIZING REFERRED LOCAL ENV.S FOR UNBOUND RT-TRANSITION ******)
+(* STRONGLY NORMALIZING REFERRED LOCAL ENVS FOR EXTENDED RT-TRANSITION ******)
 
 (* Advanced properties ******************************************************)
 
 (* Basic_2A1: uses: lsx_lleq_trans *)
-lemma rsx_reqx_trans (h) (G):
-      ∀L1,T. G ⊢ ⬈*[h,T] 𝐒⦃L1⦄ →
-      ∀L2. L1 ≛[T] L2 → G ⊢ ⬈*[h,T] 𝐒⦃L2⦄.
-#h #G #L1 #T #H @(rsx_ind … H) -L1
+lemma rsx_reqx_trans (G):
+      ∀L1,T. G ⊢ ⬈*𝐒[T] L1 →
+      ∀L2. L1 ≛[T] L2 → G ⊢ ⬈*𝐒[T] L2.
+#G #L1 #T #H @(rsx_ind … H) -L1
 #L1 #_ #IHL1 #L2 #HL12 @rsx_intro
 #L #HL2 #HnL2 elim (reqx_lpx_trans … HL2 … HL12) -HL2
 /4 width=5 by reqx_repl/
 qed-.
 
 (* Basic_2A1: uses: lsx_lpx_trans *)
-lemma rsx_lpx_trans (h) (G):
-      ∀L1,T. G ⊢ ⬈*[h,T] 𝐒⦃L1⦄ →
-      ∀L2. ⦃G,L1⦄ ⊢ ⬈[h] L2 → G ⊢ ⬈*[h,T] 𝐒⦃L2⦄.
-#h #G #L1 #T #H @(rsx_ind … H) -L1 #L1 #HL1 #IHL1 #L2 #HL12
+lemma rsx_lpx_trans (G):
+      ∀L1,T. G ⊢ ⬈*𝐒[T] L1 →
+      ∀L2. ❪G,L1❫ ⊢ ⬈ L2 → G ⊢ ⬈*𝐒[T] L2.
+#G #L1 #T #H @(rsx_ind … H) -L1 #L1 #HL1 #IHL1 #L2 #HL12
 elim (reqx_dec L1 L2 T) /3 width=4 by rsx_reqx_trans/
 qed-.