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update in staic_2 and basic_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpx_reqx.ma
index d3cbfa45edf4ede11e2b8aa38d9422ebb2912215..6c1aa906b62dc015aaa18dd73827f50530d22e4f 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.
-/3 width=6 by cpx_rex_conf/ qed-.
+lemma cpx_reqx_conf_sn (G):
+      s_r_confluent1 … (cpx G) reqx.
+/3 width=6 by cpx_rex_conf_sn/ 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-.