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diff --git a/matita/matita/contribs/lambda_delta/basic_2/etc/csup/ysteps_csups.etc b/matita/matita/contribs/lambda_delta/basic_2/etc/csup/ysteps_csups.etc
new file mode 100644
index 000000000..2e48f396d
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+++ b/matita/matita/contribs/lambda_delta/basic_2/etc/csup/ysteps_csups.etc
@@ -0,0 +1,28 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/yprs_csups.ma".
+include "basic_2/computation/ysteps.ma".
+
+(* ITERATED STEP OF HYPER PARALLEL COMPUTATION ON CLOSURES ******************)
+
+(* Properties on iterated supclosure ****************************************)
+
+lemma csups_ysteps: ∀h,g,L1,L2,T1,T2. ⦃L1, T1⦄ >* ⦃L2, T2⦄ →
+                    h ⊢ ⦃L1, T1⦄ •⭃*[g] ⦃L2, T2⦄.
+#h #g #L1 #L2 #T1 #T2 #H
+lapply (csups_fwd_cw … H) #H1
+@ysteps_intro /2 width=1/ -H #H2 #H3 destruct
+elim (lt_refl_false … H1)
+qed.