]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnx_cnx.ma
milestone update in basic_2, update in ground and static_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cnx_cnx.ma
index a60e62ada29180a57a0f2250996fd799ab603fde..810fb85f31d672e83e0bce0490ad12b2d987c0d1 100644 (file)
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/syntax/tdeq_tdeq.ma".
-include "basic_2/rt_transition/lfpx_lfdeq.ma".
+include "basic_2/rt_transition/rpx_reqx.ma".
 include "basic_2/rt_transition/cnx.ma".
 
-(* NORMAL TERMS FOR UNCOUNTED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION ******)
+(* NORMAL TERMS FOR EXTENDED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION *******)
 
 (* Advanced properties ******************************************************)
 
-lemma cnx_tdeq_trans: ∀h,o,G,L,T1. ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃T1⦄ →
-                      ∀T2. T1 ≡[h, o] T2 → ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃T2⦄.
-#h #o #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
+elim (teqx_cpx_trans … HT12 … HT2) -HT2 #T0 #HT10 #HT0
+lapply (HT1 … HT10) -HT1 -HT10 /2 width=5 by teqx_repl/ (**) (* full auto fails *)
 qed-.