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diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/lsubr/lpss_ldrop.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/lsubr/lpss_ldrop.etc
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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/fsup.ma".
-include "basic_2/relocation/ldrop_lpx_sn.ma".
-include "basic_2/substitution/cpss_lift.ma".
-include "basic_2/substitution/lpss.ma".
-
-(* SN PARALLEL SUBSTITUTION FOR LOCAL ENVIRONMENTS **************************)
-
-(* Properies on local environment slicing ***********************************)
-
-lemma lpss_ldrop_conf: dropable_sn lpss.
-/3 width=5 by lpx_sn_deliftable_dropable, cpss_inv_lift1/ qed-.
-
-lemma ldrop_lpss_trans: dedropable_sn lpss.
-/3 width=9 by lpx_sn_liftable_dedropable, cpss_lift/ qed-.
-
-lemma lpss_ldrop_trans_O1: dropable_dx lpss.
-/2 width=3 by lpx_sn_dropable/ qed-.
-
-(* Properties on context-sensitive parallel substitution for terms **********)
-
-lemma fsup_cpss_trans: ∀L1,L2,T1,T2. ⦃L1, T1⦄ ⊃ ⦃L2, T2⦄ → ∀U2. L2 ⊢ T2 ▶* U2 →
-                       ∃∃L,U1. L1 ⊢ ▶* L & L ⊢ T1 ▶* U1 & ⦃L, U1⦄ ⊃ ⦃L2, U2⦄.
-#L1 #L2 #T1 #T2 #H elim H -L1 -L2 -T1 -T2 [2: * ] [1,2,3,4,5: /3 width=5/ ]
-[ #L #K #U #T #d #e #HLK #HUT #He #U2 #HU2
-  elim (lift_total U2 d e) #T2 #HUT2
-  lapply (cpss_lift … HU2 … HLK … HUT … HUT2) -HU2 -HUT /3 width=9/
-| #L1 #K1 #K2 #T1 #T2 #U1 #d #e #HLK1 #HTU1 #_ #IHT12 #U2 #HTU2
-  elim (IHT12 … HTU2) -IHT12 -HTU2 #K #T #HK1 #HT1 #HT2
-  elim (lift_total T d e) #U #HTU
-  elim (ldrop_lpss_trans … HLK1 … HK1) -HLK1 -HK1 #L2 #HL12 #HL2K
-  lapply (cpss_lift … HT1 … HL2K … HTU1 … HTU) -HT1 -HTU1 /3 width=11/
-]
-qed-.