milestone update in basic_2, update in ground and static_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_reqx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_reqx.ma
index 59e5eb289b9a02b248ab631d61ce0f016618e7ba..f6f8970e3f9740679a8c4c24f45f8714717e9a43 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_reqx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_reqx.ma
@@ -15,15 +15,15 @@
 include "basic_2/rt_transition/cpx_reqx.ma".
 include "basic_2/rt_computation/csx_csx.ma".
 
-(* STRONGLY NORMALIZING TERMS FOR UNBOUND PARALLEL RT-TRANSITION ************)
+(* STRONGLY NORMALIZING TERMS FOR EXTENDED PARALLEL RT-TRANSITION ***********)
 
 (* Properties with sort-irrelevant equivalence for local environments *******)
 
 (* Basic_2A1: uses: csx_lleq_conf *)
-lemma csx_reqx_conf (h) (G) (L1):
-      ∀T. ❪G,L1❫ ⊢ ⬈*𝐒[h] T →
-      ∀L2. L1 ≛[T] L2 → ❪G,L2❫ ⊢ ⬈*𝐒[h] T.
-#h #G #L1 #T #H
+lemma csx_reqx_conf (G) (L1):
+      ∀T. ❪G,L1❫ ⊢ ⬈*𝐒 T →
+      ∀L2. L1 ≛[T] L2 → ❪G,L2❫ ⊢ ⬈*𝐒 T.
+#G #L1 #T #H
 @(csx_ind … H) -T #T1 #_ #IH #L2 #HL12
 @csx_intro #T2 #HT12 #HnT12
 elim (reqx_cpx_trans … HL12 … HT12) -HT12
@@ -31,6 +31,6 @@ elim (reqx_cpx_trans … HL12 … HT12) -HT12
 qed-.
 
 (* Basic_2A1: uses: csx_lleq_trans *)
-lemma csx_reqx_trans (h) (G) (L2):
-      ∀L1,T. L1 ≛[T] L2 → ❪G,L2❫ ⊢ ⬈*𝐒[h] T → ❪G,L1❫ ⊢ ⬈*𝐒[h] T.
+lemma csx_reqx_trans (G) (L2):
+      ∀L1,T. L1 ≛[T] L2 → ❪G,L2❫ ⊢ ⬈*𝐒 T → ❪G,L1❫ ⊢ ⬈*𝐒 T.
 /3 width=3 by csx_reqx_conf, reqx_sym/ qed-.