milestone update in basic_2, update in ground and static_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_rpx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_rpx.ma
index 85261b95a5810c0357db0466e626742ea5abfb14..ea6d4cf9428212ea2d5c30945990e02579033e3d 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_rpx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_rpx.ma
@@ -15,20 +15,23 @@
 include "static_2/static/rex_rex.ma".
 include "basic_2/rt_transition/rpx.ma".
 
-(* UNBOUND PARALLEL RT-TRANSITION FOR REFERRED LOCAL ENVIRONMENTS ***********)
+(* EXTENDED PARALLEL RT-TRANSITION FOR REFERRED LOCAL ENVIRONMENTS **********)
 
 (* Main properties **********************************************************)
 
-theorem rpx_bind: ∀h,G,L1,L2,V1. ❪G,L1❫ ⊢ ⬈[h,V1] L2 →
-                  ∀I,V2,T. ❪G,L1.ⓑ[I]V1❫ ⊢ ⬈[h,T] L2.ⓑ[I]V2 →
-                  ∀p. ❪G,L1❫ ⊢ ⬈[h,ⓑ[p,I]V1.T] L2.
+theorem rpx_bind (G):
+        ∀L1,L2,V1. ❪G,L1❫ ⊢ ⬈[V1] L2 →
+        ∀I,V2,T. ❪G,L1.ⓑ[I]V1❫ ⊢ ⬈[T] L2.ⓑ[I]V2 →
+        ∀p. ❪G,L1❫ ⊢ ⬈[ⓑ[p,I]V1.T] L2.
 /2 width=2 by rex_bind/ qed.
 
-theorem rpx_flat: ∀h,G,L1,L2,V. ❪G,L1❫ ⊢ ⬈[h,V] L2 →
-                  ∀I,T. ❪G,L1❫ ⊢ ⬈[h,T] L2 → ❪G,L1❫ ⊢ ⬈[h,ⓕ[I]V.T] L2.
+theorem rpx_flat (G):
+        ∀L1,L2,V. ❪G,L1❫ ⊢ ⬈[V] L2 →
+        ∀I,T. ❪G,L1❫ ⊢ ⬈[T] L2 → ❪G,L1❫ ⊢ ⬈[ⓕ[I]V.T] L2.
 /2 width=1 by rex_flat/ qed.
 
-theorem rpx_bind_void: ∀h,G,L1,L2,V. ❪G,L1❫ ⊢ ⬈[h,V] L2 →
-                       ∀T. ❪G,L1.ⓧ❫ ⊢ ⬈[h,T] L2.ⓧ →
-                       ∀p,I. ❪G,L1❫ ⊢ ⬈[h,ⓑ[p,I]V.T] L2.
+theorem rpx_bind_void (G):
+        ∀L1,L2,V. ❪G,L1❫ ⊢ ⬈[V] L2 →
+        ∀T. ❪G,L1.ⓧ❫ ⊢ ⬈[T] L2.ⓧ →
+        ∀p,I. ❪G,L1❫ ⊢ ⬈[ⓑ[p,I]V.T] L2.
 /2 width=1 by rex_bind_void/ qed.