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diff --git a/matita/matita/contribs/lambda_delta/basic_2/computation/lsubc_ldrops.ma b/matita/matita/contribs/lambda_delta/basic_2/computation/lsubc_ldrops.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/computation/lsubc_ldrop.ma".
-
-(* LOCAL ENVIRONMENT REFINEMENT FOR ABSTRACT CANDIDATES OF REDUCIBILITY *****)
-
-(* Properties concerning generic local environment slicing ******************)
-
-(* Basic_1: was: csubc_drop1_conf_rev *)
-lemma ldrops_lsubc_trans: ∀RR,RS,RP.
-                          acp RR RS RP → acr RR RS RP (λL,T. RP L T) →
-                          ∀L1,K1,des. ⇩*[des] L1 ≡ K1 → ∀K2. K1 ⊑[RP] K2 →
-                          ∃∃L2. L1 ⊑[RP] L2 & ⇩*[des] L2 ≡ K2.
-#RR #RS #RP #Hacp #Hacr #L1 #K1 #des #H elim H -L1 -K1 -des
-[ /2 width=3/
-| #L1 #L #K1 #des #d #e #_ #HLK1 #IHL #K2 #HK12
-  elim (ldrop_lsubc_trans … Hacp Hacr … HLK1 … HK12) -Hacp -Hacr -K1 #K #HLK #HK2
-  elim (IHL … HLK) -IHL -HLK /3 width=5/
-]
-qed-.