]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_reqx.ma
milestone update in basic_2, update in ground and static_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpx_reqx.ma
index d3cbfa45edf4ede11e2b8aa38d9422ebb2912215..7c05f8b2c7307aca46ff2a1e1176fea951105032 100644 (file)
 include "static_2/static/reqx_reqx.ma".
 include "basic_2/rt_transition/rpx_fsle.ma".
 
-(* UNBOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS ***************)
+(* EXTENDED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS **************)
 
 (* Properties with sort-irrelevant equivalence for local environments *******)
 
 (* Basic_2A1: was just: cpx_lleq_conf_sn *)
-lemma cpx_reqx_conf_sn: ∀h,G. s_r_confluent1 … (cpx h G) reqx.
+lemma cpx_reqx_conf_sn (G):
+      s_r_confluent1 … (cpx G) reqx.
 /3 width=6 by cpx_rex_conf/ qed-.
 
 (* Basic_2A1: was just: cpx_lleq_conf_dx *)
-lemma cpx_reqx_conf_dx: ∀h,G,L2,T1,T2. ❪G,L2❫ ⊢ T1 ⬈[h] T2 →
-                        ∀L1. L1 ≛[T1] L2 → L1 ≛[T2] L2.
+lemma cpx_reqx_conf_dx (G) (L2):
+      ∀T1,T2. ❪G,L2❫ ⊢ T1 ⬈ T2 →
+      ∀L1. L1 ≛[T1] L2 → L1 ≛[T2] L2.
 /4 width=5 by cpx_reqx_conf_sn, reqx_sym/ qed-.