X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcpxs_lfpx.ma;h=2b12ff4381bab155a559ee21f74dfad736af641c;hb=47a745462a714af9d65cea7b61af56524bd98fa1;hp=b54ea1582eaf871673fec61685f90743b0876c5b;hpb=cbc645186c8836c88c559c787a4deea63b7a12b0;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_lfpx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_lfpx.ma
index b54ea1582..2b12ff438 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_lfpx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_lfpx.ma
@@ -12,7 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/rt_transition/lfpx_lfpx.ma".
+include "basic_2/rt_transition/lfpx_fsle.ma".
 include "basic_2/rt_computation/cpxs_drops.ma".
 include "basic_2/rt_computation/cpxs_cpxs.ma".
 
@@ -29,8 +29,8 @@ lemma lfpx_cpx_trans: ∀h,G. s_r_transitive … (cpx h G) (lfpx h G).
 | #I #G #L2 #V #V2 #W2 #_ #IH #HVW2 #Y1 #H
   elim (lfpx_inv_zero_pair_dx … H) -H #L1 #V1 #HL1 #HV1 #H destruct
   /5 width=3 by lfpx_cpx_conf, cpxs_delta, cpxs_strap2/
-| #I #G #L2 #V #V2 #W2 #i #_ #IH #HVW2 #Y1 #H
-  elim (lfpx_inv_lref_pair_dx … H) -H #L1 #V1 #HL1 #HV1
+| #I2 #G #L2 #V2 #W2 #i #_ #IH #HVW2 #Y1 #H
+  elim (lfpx_inv_lref_bind_dx … H) -H #I1 #L1 #HL1 #H destruct
   /4 width=3 by cpxs_lref, cpxs_strap2/
 | #p #I #G #L2 #V #V2 #T #T2 #_ #_ #IHV #IHT #L1 #H
   elim (lfpx_inv_bind … H) -H /3 width=1 by cpxs_bind/
@@ -52,6 +52,17 @@ lemma lfpx_cpx_trans: ∀h,G. s_r_transitive … (cpx h G) (lfpx h G).
 qed.
 
 lemma lfpx_cpxs_trans: ∀h,G. s_rs_transitive … (cpx h G) (lfpx h G).
-#h #G #L2 #T1 #T2 #H #L1 #HL12 @(cpxs_ind … H) -T2
-/4 width=7 by lfpx_cpx_trans, cpxs_trans, lfpx_cpxs_conf/
+/3 width=6 by lfpx_cpx_conf, lfpx_cpx_trans, s_r_trans_LTC1/
 qed-.
+
+(* Advanced properties ******************************************************)
+
+lemma cpx_bind2: ∀h,G,L,V1,V2. ⦃G, L⦄ ⊢ V1 ⬈[h] V2 →
+                 ∀I,T1,T2. ⦃G, L.ⓑ{I}V2⦄ ⊢ T1 ⬈[h] T2 →
+                 ∀p. ⦃G, L⦄ ⊢ ⓑ{p,I}V1.T1 ⬈*[h] ⓑ{p,I}V2.T2.
+/4 width=5 by lfpx_cpx_trans, cpxs_bind_dx, lfpx_pair_refl/ qed.
+
+lemma cpxs_bind2_dx: ∀h,G,L,V1,V2. ⦃G, L⦄ ⊢ V1 ⬈[h] V2 →
+                     ∀I,T1,T2. ⦃G, L.ⓑ{I}V2⦄ ⊢ T1 ⬈*[h] T2 →
+                     ∀p. ⦃G, L⦄ ⊢ ⓑ{p,I}V1.T1 ⬈*[h] ⓑ{p,I}V2.T2.
+/4 width=5 by lfpx_cpxs_trans, cpxs_bind_dx, lfpx_pair_refl/ qed.