milestone update in basic_2, update in ground and static_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_fsle.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_fsle.ma
index 7773a081ebd944614f6c7cdeaaa83c6cf8edfea7..14a30512fd2149db2f61405b78020931a3d703f3 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_fsle.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_fsle.ma
@@ -12,17 +12,19 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/rt_transition/lfpx_lpx.ma".
+include "basic_2/rt_transition/rpx_lpx.ma".
 
-(* UNBOUND PARALLEL RT-TRANSITION FOR FULL LOCAL ENVIRONMENTS ***************)
+(* EXTENDED PARALLEL RT-TRANSITION FOR FULL LOCAL ENVIRONMENTS **************)
 
 (* Forward lemmas with free variables inclusion for restricted closures *****)
 
 (* Basic_2A1: uses: lpx_cpx_frees_trans *)
-lemma lpx_cpx_conf_fsge (h) (G): ∀L0,T0,T1. ⦃G, L0⦄ ⊢ T0 ⬈[h] T1 →
-                                 ∀L2. ⦃G, L0⦄ ⊢ ⬈[h] L2 → ⦃L2, T1⦄ ⊆ ⦃L0, T0⦄.
-/3 width=4 by lfpx_cpx_conf_fsge, lpx_lfpx/ qed-.
+lemma lpx_cpx_conf_fsge (G):
+      ∀L0,T0,T1. ❪G,L0❫ ⊢ T0 ⬈ T1 →
+      ∀L2. ❪G,L0❫ ⊢ ⬈ L2 → ❪L2,T1❫ ⊆ ❪L0,T0❫.
+/3 width=4 by rpx_cpx_conf_fsge, lpx_rpx/ qed-.
 
 (* Basic_2A1: uses: lpx_frees_trans *)
-lemma lpx_fsge_comp (h) (G): ∀L0,L2,T0. ⦃G, L0⦄ ⊢ ⬈[h] L2 → ⦃L2, T0⦄ ⊆ ⦃L0, T0⦄.
+lemma lpx_fsge_comp (G):
+      ∀L0,L2,T0. ❪G,L0❫ ⊢ ⬈ L2 → ❪L2,T0❫ ⊆ ❪L0,T0❫.
 /2 width=4 by lpx_cpx_conf_fsge/ qed-.