Merge branch 'matita-lablgtk3' of ssh://matita.cs.unibo.it:/srv/git/helm into matita...

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / jsx_jsx.ma

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
new file mode 100644 (file)
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+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||M||                                                             *)
+(*      ||A||       A project by Andrea Asperti                           *)
+(*      ||T||                                                             *)
+(*      ||I||       Developers:                                           *)
+(*      ||T||         The HELM team.                                      *)
+(*      ||A||         http://helm.cs.unibo.it                             *)
+(*      \   /                                                             *)
+(*       \ /        This file is distributed under the terms of the       *)
+(*        v         GNU General Public License Version 2                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+include "basic_2/rt_computation/jsx_csx.ma".
+
+(* COMPATIBILITY OF STRONG NORMALIZATION FOR UNBOUND RT-TRANSITION **********)
+
+(* Main properties **********************************************************)
+
+theorem jsx_trans (h) (G): Transitive … (jsx h G).
+#h #G #L1 #L #H elim H -L1 -L
+[ #L2 #H
+  >(jsx_inv_atom_sn … H) -L2 //
+| #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-.