X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Frpx_length.ma;h=58034f1571ebcdde9225940c22cc5bf477252e77;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hp=45a052c6764800f9420a506f6ea4e2d907d02b13;hpb=5b5dca0c118dfbe3ba8f0514ef07549544eb7810;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_length.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_length.ma
index 45a052c67..58034f157 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_length.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_length.ma
@@ -15,19 +15,19 @@
 include "static_2/static/rex_length.ma".
 include "basic_2/rt_transition/rpx.ma".
 
-(* UNBOUND PARALLEL RT-TRANSITION FOR REFERRED LOCAL ENVIRONMENTS ***********)
+(* EXTENDED PARALLEL RT-TRANSITION FOR REFERRED LOCAL ENVIRONMENTS **********)
 
 (* Forward lemmas with length for local environments ************************)
 
-lemma rpx_fwd_length: ∀h,G,L1,L2,T. ⦃G,L1⦄ ⊢ ⬈[h,T] L2 → |L1| = |L2|.
+lemma rpx_fwd_length (G):
+      ∀L1,L2,T. ❪G,L1❫ ⊢ ⬈[T] L2 → |L1| = |L2|.
 /2 width=3 by rex_fwd_length/ qed-.
 
 (* Inversion lemmas with length for local environments **********************)
 
-lemma rpx_inv_zero_length: ∀h,G,Y1,Y2. ⦃G,Y1⦄ ⊢ ⬈[h,#0] Y2 →
-                           ∨∨ ∧∧ Y1 = ⋆ & Y2 = ⋆
-                            | ∃∃I,L1,L2,V1,V2. ⦃G,L1⦄ ⊢ ⬈[h,V1] L2 &
-                                               ⦃G,L1⦄ ⊢ V1 ⬈[h] V2 &
-                                               Y1 = L1.ⓑ{I}V1 & Y2 = L2.ⓑ{I}V2
-                            | ∃∃I,L1,L2. |L1| = |L2| & Y1 = L1.ⓤ{I} & Y2 = L2.ⓤ{I}.
+lemma rpx_inv_zero_length (G):
+      ∀Y1,Y2. ❪G,Y1❫ ⊢ ⬈[#0] Y2 →
+      ∨∨ ∧∧ Y1 = ⋆ & Y2 = ⋆
+       | ∃∃I,L1,L2,V1,V2. ❪G,L1❫ ⊢ ⬈[V1] L2 & ❪G,L1❫ ⊢ V1 ⬈ V2 & Y1 = L1.ⓑ[I]V1 & Y2 = L2.ⓑ[I]V2
+       | ∃∃I,L1,L2. |L1| = |L2| & Y1 = L1.ⓤ[I] & Y2 = L2.ⓤ[I].
 /2 width=1 by rex_inv_zero_length/ qed-.