milestone update in basic_2, update in ground and static_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / rpx_length.ma

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 7f3bdc40d1c24db87cd9ab78c50e24bb96aad6d5..58034f1571ebcdde9225940c22cc5bf477252e77 100644 (file)
--- 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-.