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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_fpbs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_fpbs.ma
new file mode 100644
index 000000000..d3d14d184
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+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_fpbs.ma
@@ -0,0 +1,22 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/computation/fpbs.ma".
+
+(* "QRST" PARALLEL COMPUTATION FOR CLOSURES *********************************)
+
+(* Main properties **********************************************************)
+
+theorem fpbs_trans: ∀h,o. tri_transitive … (fpbs h o).
+/2 width=5 by tri_TC_transitive/ qed-.