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diff --git a/matita/matita/contribs/lambda_delta/basic_2/static/lsubss_lsubss.ma b/matita/matita/contribs/lambda_delta/basic_2/static/lsubss_lsubss.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/static/lsubss_ssta.ma".
-
-(* LOCAL ENVIRONMENT REFINEMENT FOR STATIC TYPE ASSIGNMENT ******************)
-
-(* Main properties **********************************************************)
-
-theorem lsubss_trans: ∀h,g,L1,L. h ⊢ L1 •⊑[g] L → ∀L2. h ⊢ L •⊑[g] L2 →
-                      h ⊢ L1 •⊑[g] L2.
-#h #g #L1 #L #H elim H -L1 -L
-[ #X #H >(lsubss_inv_atom1 … H) -H //
-| #I #L1 #L #W #HL1 #IHL1 #X #H
-  elim (lsubss_inv_pair1 … H) -H * #L2
-  [ #HL2 #H destruct /3 width=1/
-  | #V #l #H1WV #H2WV #HL2 #H1 #H2 destruct /3 width=3/
-  ]
-| #L1 #L #V1 #W1 #l #H1VW1 #H2VW1 #HL1 #IHL1 #X #H
-  elim (lsubss_inv_pair1 … H) -H * #L2
-  [ #HL2 #H destruct /3 width=5/
-  | #V #l0 #_ #_ #_ #_ #H destruct
-  ]
-]
-qed.