some restyling ...

[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 a836bfbea26c650a703cd6c3c1eceb686127510e..5f0c34f6c84e2a8f51efe0bb22c9deb930ecea99 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
@@ -12,7 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "static_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 ***************)
@@ -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
@@ -48,8 +50,8 @@ lemma req_cpx_trans: ∀h,G. req_transitive (cpx h G).
 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.
+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 *)
@@ -57,7 +59,7 @@ lemma cpx_req_conf_sn: ∀h,G. s_r_confluent1 … (cpx h 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 →
+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-.
 *)