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diff --git a/matita/matita/contribs/lambda_delta/basic_2/etc/lsubsv/lsubsv_cpcs.etc b/matita/matita/contribs/lambda_delta/basic_2/etc/lsubsv/lsubsv_cpcs.etc
new file mode 100644
index 000000000..87a72e0fd
--- /dev/null
+++ b/matita/matita/contribs/lambda_delta/basic_2/etc/lsubsv/lsubsv_cpcs.etc
@@ -0,0 +1,25 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/equivalence/cpcs_cpcs.ma".
+include "basic_2/dynamic/lsubsv.ma".
+
+(* LOCAL ENVIRONMENT REFINEMENT FOR STRATIFIED NATIVE VALIDITY **************)
+
+(* Properties on context-sensitive parallel equivalence for terms ***********)
+
+lemma lsubsv_cpcs_trans: ∀h,g,L1,L2. h ⊢ L1 ⊩:⊑[g] L2 →
+                         ∀T1,T2. L2 ⊢ T1 ⬌* T2 → L1 ⊢ T1 ⬌* T2.
+/3 width=5 by lsubsv_fwd_lsubs2, cpcs_lsubs_trans/
+qed-.