update in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_cnx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_cnx.ma
index abbc125a0cad2bd4dd7adcc797def8759a0b8ebe..ba56c516c71b77e992f8af5cdbe9abf6dd67a129 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_cnx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_cnx.ma
@@ -12,16 +12,16 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/rt_transition/rpx_rdeq.ma".
+include "basic_2/rt_transition/rpx_reqx.ma".
 include "basic_2/rt_transition/cnx.ma".
 
-(* NORMAL TERMS FOR UNBOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION ********)
+(* NORMAL TERMS FOR EXTENDED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION *******)
 
 (* Advanced properties ******************************************************)
 
-lemma cnx_tdeq_trans: ∀h,G,L,T1. ⦃G,L⦄ ⊢ ⬈[h] 𝐍⦃T1⦄ →
-                      ∀T2. T1 ≛ T2 → ⦃G,L⦄ ⊢ ⬈[h] 𝐍⦃T2⦄.
-#h #G #L #T1 #HT1 #T2 #HT12 #T #HT2
-elim (tdeq_cpx_trans … HT12 … HT2) -HT2 #T0 #HT10 #HT0
-lapply (HT1 … HT10) -HT1 -HT10 /2 width=5 by tdeq_repl/ (**) (* full auto fails *)
+lemma cnx_teqx_trans (G) (L):
+      ∀T1. ❪G,L❫ ⊢ ⬈𝐍 T1 → ∀T2. T1 ≛ T2 → ❪G,L❫ ⊢ ⬈𝐍 T2.
+#G #L #T1 #HT1 #T2 #HT12 #T #HT2
+lapply (teqx_cpx_trans … HT12 … HT2) -HT2 #H
+lapply (HT1 … H) -HT1 -H /2 width=5 by teqx_canc_sn/ (**) (* full auto fails *)
 qed-.