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=d1a72230bc4bf978c2d9baed17e9c1036704c9d2;hb=b118146b97959e6a6dde18fdd014b8e1e676a2d1;hp=230a56900ee7bfeac69a907e64eb461a3a3cc945;hpb=bd53c4e895203eb049e75434f638f26b5a161a2b;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 230a56900..d1a72230b 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
@@ -12,27 +12,28 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/rt_transition/lpx_reqx.ma".
+include "static_2/static/reqx_reqx.ma".
+include "basic_2/rt_transition/lpx_reqg.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/
+#L #HL2 #HnL2 elim (reqg_lpx_trans … HL2 … HL12) -HL2 //
+/4 width=5 by reqg_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
-elim (reqx_dec L1 L2 T) /3 width=4 by rsx_reqx_trans/
+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-.