X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Fcpx_req.ma;h=f74d42babe9135a0bcb7465c5db946f2c9cdbc27;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hp=5f0c34f6c84e2a8f51efe0bb22c9deb930ecea99;hpb=f308429a0fde273605a2330efc63268b4ac36c99;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_req.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_req.ma
index 5f0c34f6c..f74d42bab 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_req.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_req.ma
@@ -15,13 +15,13 @@
 include "static_2/static/req_drops.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 syntactic equivalence for lenvs on referred entries ******)
 
 (* Basic_2A1: was: lleq_cpx_trans *)
-lemma req_cpx_trans: ∀h,G. req_transitive (cpx h G).
-#h #G #L2 #T1 #T2 #H @(cpx_ind … H) -G -L2 -T1 -T2 /2 width=2 by cpx_ess/
+lemma req_cpx_trans (G): req_transitive (cpx G).
+#G #L2 #T1 #T2 #H @(cpx_ind … H) -G -L2 -T1 -T2 /2 width=2 by cpx_qu/
 [ #I #G #K2 #V1 #V2 #W2 #_ #IH #HVW2 #L1 #H
   elim (req_inv_zero_pair_dx … H) -H #K1 #HK12 #H destruct
   /3 width=3 by cpx_delta/
@@ -48,18 +48,7 @@ lemma req_cpx_trans: ∀h,G. req_transitive (cpx h G).
   elim (req_inv_bind … H) -H /3 width=3 by cpx_theta/
 ]
 qed-.
-(*
-(* Basic_2A1: was: cpx_lleq_conf *)
-lemma cpx_req_conf: ∀h,G,L2,T1,T2. ⦃G,L2⦄ ⊢ T1 ⬈[h] T2 →
-                    ∀L1. L2 ≘[T1] L1 → ⦃G,L1⦄ ⊢ T1 ⬈[h] T2.
-/3 width=3 by req_cpx_trans, req_sym/ qed-.
-*)
+
 (* Basic_2A1: was: cpx_lleq_conf_sn *)
-lemma cpx_req_conf_sn: ∀h,G. s_r_confluent1 … (cpx h G) req.
+lemma cpx_req_conf_sn (G): s_r_confluent1 … (cpx G) req.
 /2 width=5 by cpx_rex_conf/ qed-.
-(*
-(* Basic_2A1: was: cpx_lleq_conf_dx *)
-lemma cpx_req_conf_dx: ∀h,G,L2,T1,T2. ⦃G,L2⦄ ⊢ T1 ⬈[h] T2 →
-                       ∀L1. L1 ≘[T1] L2 → L1 ≘[T2] L2.
-/4 width=6 by cpx_req_conf_sn, req_sym/ qed-.
-*)