milestone update in basic_2, update in ground and static_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_fqup.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_fqup.ma
index b41e150feb62b90220434212ee30883aa7c8d0e7..224ad7717ae6102f16bf3afde04f23140485cbf4 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_fqup.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/rsx_fqup.ma
@@ -12,16 +12,16 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "static_2/static/rdeq_fqup.ma".
+include "static_2/static/reqx_fqup.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_atom *)
-lemma lfsx_atom (h) (G) (T): G ⊢ ⬈*[h,T] 𝐒⦃⋆⦄.
-#h #G #T
+lemma lfsx_atom (G) (T): G ⊢ ⬈*𝐒[T] ⋆.
+#G #T
 @rsx_intro #Y #H #HnT
 lapply (lpx_inv_atom_sn … H) -H #H destruct
 elim HnT -HnT //
@@ -32,19 +32,19 @@ qed.
 (* Basic_2A1: uses: lsx_fwd_bind_dx *)
 (* Note: the exclusion binder (ⓧ) makes this more elegant and much simpler *)
 (* Note: the old proof without the exclusion binder requires lreq *)
-lemma rsx_fwd_bind_dx_void (h) (G):
-      ∀p,I,L,V,T. G ⊢ ⬈*[h,ⓑ{p,I}V.T] 𝐒⦃L⦄ → G ⊢ ⬈*[h,T] 𝐒⦃L.ⓧ⦄.
-#h #G #p #I #L #V #T #H
+lemma rsx_fwd_bind_dx_void (G):
+      ∀p,I,L,V,T. G ⊢ ⬈*𝐒[ⓑ[p,I]V.T] L → G ⊢ ⬈*𝐒[T] L.ⓧ.
+#G #p #I #L #V #T #H
 @(rsx_ind … H) -L #L1 #_ #IH
 @rsx_intro #Y #H #HT
 elim (lpx_inv_unit_sn … H) -H #L2 #HL12 #H destruct
-/4 width=4 by rdeq_fwd_bind_dx_void/
+/4 width=4 by reqx_fwd_bind_dx_void/
 qed-.
 
 (* Advanced inversion lemmas ************************************************)
 
 (* Basic_2A1: uses: lsx_inv_bind *)
-lemma rsx_inv_bind_void (h) (G):
-      ∀p,I,L,V,T. G ⊢ ⬈*[h,ⓑ{p,I}V.T] 𝐒⦃L⦄ →
-      ∧∧ G ⊢ ⬈*[h,V] 𝐒⦃L⦄ & G ⊢ ⬈*[h,T] 𝐒⦃L.ⓧ⦄.
+lemma rsx_inv_bind_void (G):
+      ∀p,I,L,V,T. G ⊢ ⬈*𝐒[ⓑ[p,I]V.T] L →
+      ∧∧ G ⊢ ⬈*𝐒[V] L & G ⊢ ⬈*𝐒[T] L.ⓧ.
 /3 width=4 by rsx_fwd_pair_sn, rsx_fwd_bind_dx_void, conj/ qed-.