milestone update in basic_2, update in ground and static_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_length.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_length.ma
index 1954e6b6be3ad9da06194886cb0fa442e57c12bd..98951ee646140e7bd53db694272bf7562cf1c897 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_length.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_length.ma
@@ -16,24 +16,24 @@ include "static_2/static/reqx_length.ma".
 include "basic_2/rt_transition/lpx_length.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_sort *)
-lemma rsx_sort (h) (G): ∀L,s. G ⊢ ⬈*[h,⋆s] 𝐒⦃L⦄.
-#h #G #L1 #s @rsx_intro #L2 #H #Hs
+lemma rsx_sort (G): ∀L,s. G ⊢ ⬈*𝐒[⋆s] L.
+#G #L1 #s @rsx_intro #L2 #H #Hs
 elim Hs -Hs /3 width=3 by lpx_fwd_length, reqx_sort_length/
 qed.
 
 (* Basic_2A1: uses: lsx_gref *)
-lemma rsx_gref (h) (G): ∀L,l. G ⊢ ⬈*[h,§l] 𝐒⦃L⦄.
-#h #G #L1 #s @rsx_intro #L2 #H #Hs
+lemma rsx_gref (G): ∀L,l. G ⊢ ⬈*𝐒[§l] L.
+#G #L1 #s @rsx_intro #L2 #H #Hs
 elim Hs -Hs /3 width=3 by lpx_fwd_length, reqx_gref_length/
 qed.
 
-lemma rsx_unit (h) (G): ∀I,L. G ⊢ ⬈*[h,#0] 𝐒⦃L.ⓤ{I}⦄.
-#h #G #I #L1 @rsx_intro
+lemma rsx_unit (G): ∀I,L. G ⊢ ⬈*𝐒[#0] L.ⓤ[I].
+#G #I #L1 @rsx_intro
 #Y #HY #HnY elim HnY -HnY
 elim (lpx_inv_unit_sn … HY) -HY #L2 #HL12 #H destruct
 /3 width=3 by lpx_fwd_length, reqx_unit_length/