X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fjsx_jsx.ma;h=0b93e69ebd08d81a3dc0f0a44068b41df4d78a17;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hp=7431ea44d18682f51a3e10a177abdf2a1f7f4b5b;hpb=a454837a256907d2f83d42ced7be847e10361ea9;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/jsx_jsx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/jsx_jsx.ma
index 7431ea44d..0b93e69eb 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/jsx_jsx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/jsx_jsx.ma
@@ -12,27 +12,23 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/rt_computation/jsx.ma".
+include "basic_2/rt_computation/jsx_csx.ma".
 
-(* COMPATIBILITY OF STRONG NORMALIZATION FOR UNBOUND RT-TRANSITION **********)
+(* COMPATIBILITY OF STRONG NORMALIZATION FOR EXTENDED RT-TRANSITION *********)
 
 (* Main properties **********************************************************)
 
-theorem jsx_fix (h) (G):
-        ∀f,L1,L. G ⊢ L1 ⊒[h,f] L → ∀L2. G ⊢ L ⊒[h,f] L2 → L = L2.
-#h #G #f #L1 #L #H elim H -f -L1 -L
-[ #f #L2 #H
+theorem jsx_trans (G): Transitive … (jsx G).
+#G #L1 #L #H elim H -L1 -L
+[ #L2 #H
   >(jsx_inv_atom_sn … H) -L2 //
-| #f #I #K1 #K2 #_ #IH #L2 #H
-  elim (jsx_inv_push_sn … H) -H /3 width=1 by eq_f2/
-| #f #I #K1 #K2 #_ #IH #L2 #H
-  elim (jsx_inv_unit_sn … H) -H /3 width=1 by eq_f2/
-| #f #I #K1 #K2 #V #_ #_ #IH #L2 #H
-  elim (jsx_inv_unit_sn … H) -H /3 width=1 by eq_f2/
+| #I #K1 #K #_ #IH #L2 #H
+  elim (jsx_inv_bind_sn … H) -H *
+  [ #K2 #HK2 #H destruct /3 width=1 by jsx_bind/
+  | #J #K2 #V #HK2 #HV #H1 #H2 destruct /3 width=1 by jsx_pair/
+  ]
+| #I #K1 #K #V #_ #HV #IH #L2 #H
+  elim (jsx_inv_void_sn … H) -H #K2 #HK2 #H destruct
+  /3 width=3 by rsx_jsx_trans, jsx_pair/
 ]
 qed-.
-
-theorem jsx_trans (h) (G): ∀f. Transitive … (jsx h G f).
-#h #G #f #L1 #L #H1 #L2 #H2
-<(jsx_fix … H1 … H2) -L2 //
-qed-.