milestone update in basic_2, update in ground and static_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpx_req.ma

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 44dcfb53cd549dd44d80daf47542397f4417f8bc..f74d42babe9135a0bcb7465c5db946f2c9cdbc27 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_req.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_req.ma
@@ -12,16 +12,16 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/static/req.ma".
+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/
@@ -32,8 +32,10 @@ lemma req_cpx_trans: ∀h,G. req_transitive (cpx h G).
   elim (req_inv_bind … H) -H /3 width=1 by cpx_bind/
 | #I #G #L2 #V1 #V2 #T1 #T2 #_ #_ #IHV12 #IHT12 #L1 #H
   elim (req_inv_flat … H) -H /3 width=1 by cpx_flat/
-| #G #L2 #V2 #T1 #T #T2 #_ #HT2 #IH #L1 #H
-  elim (req_inv_bind … H) -H /3 width=3 by cpx_zeta/
+| #G #L2 #V2 #T1 #T #T2 #HT1 #_ #IH #L1 #H
+  elim (req_inv_bind … H) -H #HV2 #H
+  lapply (req_inv_lifts_bi … H (Ⓣ) … HT1) -H [6:|*: /3 width=2 by drops_refl, drops_drop/ ] #HT
+  /3 width=3 by cpx_zeta/
 | #G #L2 #W1 #T1 #T2 #_ #IH #L1 #H
   elim (req_inv_flat … H) -H /3 width=1 by cpx_eps/
 | #G #L2 #W1 #W2 #T1 #_ #IH #L1 #H
@@ -46,18 +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-.
-*)