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milestone in basic_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpx_rdeq.ma
index 1f5e4a9bbfc1026c2744c2e1fd055d195938aa4b..b90635d723a90d1efd433c3613350708e8fddd6d 100644 (file)
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/static/rdeq_rdeq.ma".
+include "static_2/static/rdeq_rdeq.ma".
 include "basic_2/rt_transition/rpx_fsle.ma".
 
 (* UNBOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS ***************)
 
-(* Properties with degree-based equivalence for local environments **********)
+(* Properties with sort-irrelevant equivalence for local environments *******)
 
 (* Basic_2A1: was just: cpx_lleq_conf_sn *)
-lemma cpx_rdeq_conf_sn: ∀h,o,G. s_r_confluent1 … (cpx h G) (rdeq h o).
+lemma cpx_rdeq_conf_sn: ∀h,G. s_r_confluent1 … (cpx h G) rdeq.
 /3 width=6 by cpx_rex_conf/ qed-.
 
 (* Basic_2A1: was just: cpx_lleq_conf_dx *)
-lemma cpx_rdeq_conf_dx: ∀h,o,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ⬈[h] T2 →
-                        ∀L1. L1 ≛[h, o, T1] L2 → L1 ≛[h, o, T2] L2.
-/4 width=4 by cpx_rdeq_conf_sn, rdeq_sym/ qed-.
+lemma cpx_rdeq_conf_dx: ∀h,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ⬈[h] T2 →
+                        ∀L1. L1 ≛[T1] L2 → L1 ≛[T2] L2.
+/4 width=5 by cpx_rdeq_conf_sn, rdeq_sym/ qed-.