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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_cpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_cpxs.ma
new file mode 100644
index 000000000..b663f6a61
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_cpxs.ma
@@ -0,0 +1,26 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/lfpxs_cpxs.ma".
+include "basic_2/rt_computation/lfpxs_lpxs.ma".
+
+(* UNCOUNTED PARALLEL RT-COMPUTATION FOR LOCAL ENVIRONMENTS *****************)
+
+(* Properties with uncounted context-sensitive rt-computation for terms *****)
+
+lemma lpxs_cpx_trans: ∀h,G. s_r_transitive … (cpx h G) (λ_.lpxs h G).
+/3 width=3 by lfpxs_cpx_trans, lfpxs_lpxs/ qed-.
+
+lemma lpxs_cpxs_trans: ∀h,G. s_rs_transitive … (cpx h G) (λ_.lpxs h G).
+/3 width=3 by lfpxs_cpxs_trans, lfpxs_lpxs/ qed-.