X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Frpx_fqup.ma;h=e98884c8bfe7a3474d725dc4bb329ec8734cf4a0;hp=29e81b1dd2c3c3c1c3acd9ccd90c11524b418501;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hpb=2f6f2b7c01d47d23f61dd48d767bcb37aecdcfea

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_fqup.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_fqup.ma
index 29e81b1dd..e98884c8b 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_fqup.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_fqup.ma
@@ -15,25 +15,28 @@
 include "static_2/static/rex_fqup.ma".
 include "basic_2/rt_transition/rpx.ma".
 
-(* UNBOUND PARALLEL RT-TRANSITION FOR REFERRED LOCAL ENVIRONMENTS ***********)
+(* EXTENDED PARALLEL RT-TRANSITION FOR REFERRED LOCAL ENVIRONMENTS **********)
 
 (* Advanced properties ******************************************************)
 
-lemma rpx_refl: ∀h,G,T. reflexive … (rpx h G T).
+lemma rpx_refl (G):
+      ∀T. reflexive … (rpx G T).
 /2 width=1 by rex_refl/ qed.
 
-lemma rpx_pair_refl: ∀h,G,L,V1,V2. ❪G,L❫ ⊢ V1 ⬈[h] V2 →
-                     ∀I,T. ❪G,L.ⓑ[I]V1❫ ⊢ ⬈[h,T] L.ⓑ[I]V2.
+lemma rpx_pair_refl (G):
+      ∀L,V1,V2. ❪G,L❫ ⊢ V1 ⬈ V2 →
+      ∀I,T. ❪G,L.ⓑ[I]V1❫ ⊢ ⬈[T] L.ⓑ[I]V2.
 /2 width=1 by rex_pair_refl/ qed.
 
 (* Advanced inversion lemmas ************************************************)
 
-lemma rpx_inv_bind_void: ∀h,p,I,G,L1,L2,V,T. ❪G,L1❫ ⊢ ⬈[h,ⓑ[p,I]V.T] L2 →
-                         ∧∧ ❪G,L1❫ ⊢ ⬈[h,V] L2 & ❪G,L1.ⓧ❫ ⊢ ⬈[h,T] L2.ⓧ.
+lemma rpx_inv_bind_void (G):
+      ∀p,I,L1,L2,V,T. ❪G,L1❫ ⊢ ⬈[ⓑ[p,I]V.T] L2 →
+      ∧∧ ❪G,L1❫ ⊢ ⬈[V] L2 & ❪G,L1.ⓧ❫ ⊢ ⬈[T] L2.ⓧ.
 /2 width=3 by rex_inv_bind_void/ qed-.
 
 (* Advanced forward lemmas **************************************************)
 
-lemma rpx_fwd_bind_dx_void: ∀h,p,I,G,L1,L2,V,T.
-                            ❪G,L1❫ ⊢ ⬈[h,ⓑ[p,I]V.T] L2 → ❪G,L1.ⓧ❫ ⊢ ⬈[h,T] L2.ⓧ.
+lemma rpx_fwd_bind_dx_void (G):
+      ∀p,I,L1,L2,V,T. ❪G,L1❫ ⊢ ⬈[ⓑ[p,I]V.T] L2 → ❪G,L1.ⓧ❫ ⊢ ⬈[T] L2.ⓧ.
 /2 width=4 by rex_fwd_bind_dx_void/ qed-.