update in static_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / rsx_rsx.ma

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 f801c96b7b0387af70a115668160b80448324a6c..d1a72230bc4bf978c2d9baed17e9c1036704c9d2 100644 (file)
--- 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_rdeq.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_rdeq_trans (h) (G):
-      ∀L1,T. G ⊢ ⬈*[h,T] 𝐒⦃L1⦄ →
-      â\88\80L2. L1 â\89\9b[T] L2 â\86\92 G â\8a¢ â¬\88*[h,T] ð\9d\90\92â¦\83L2â¦\84.
-#h #G #L1 #T #H @(rsx_ind … H) -L1
+lemma rsx_reqx_trans (G):
+      ∀L1,T. G ⊢ ⬈*𝐒[T] L1 →
+      â\88\80L2. L1 â\89\85[T] L2 â\86\92 G â\8a¢ â¬\88*ð\9d\90\92[T] L2.
+#G #L1 #T #H @(rsx_ind … H) -L1
 #L1 #_ #IHL1 #L2 #HL12 @rsx_intro
-#L #HL2 #HnL2 elim (rdeq_lpx_trans … HL2 … HL12) -HL2
-/4 width=5 by rdeq_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⦄ →
-      â\88\80L2. â¦\83G,L1â¦\84 â\8a¢ â¬\88[h] L2 â\86\92 G â\8a¢ â¬\88*[h,T] ð\9d\90\92â¦\83L2â¦\84.
-#h #G #L1 #T #H @(rsx_ind … H) -L1 #L1 #HL1 #IHL1 #L2 #HL12
-elim (rdeq_dec L1 L2 T) /3 width=4 by rsx_rdeq_trans/
+lemma rsx_lpx_trans (G):
+      ∀L1,T. G ⊢ ⬈*𝐒[T] L1 →
+      â\88\80L2. â\9dªG,L1â\9d« â\8a¢ â¬\88 L2 â\86\92 G â\8a¢ â¬\88*ð\9d\90\92[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-.