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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_length.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_length.ma
new file mode 100644
index 000000000..8b086f40c
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+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_length.ma
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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/relocation/lex_length.ma".
+include "basic_2/rt_computation/lpxs.ma".
+
+(* UNCOUNTED PARALLEL RT-COMPUTATION FOR LOCAL ENVIRONMENTS *****************)
+
+(* Forward lemmas with length for local environments ************************)
+
+lemma lpxs_fwd_length: ∀h,G,L1,L2. ⦃G, L1⦄ ⊢ ⬈*[h] L2 → |L1| = |L2|.
+/2 width=2 by lex_fwd_length/ qed-.