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diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpr_teqx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpr_teqx.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 "static_2/relocation/lifts_teqx.ma".
-include "basic_2/rt_transition/cpr_drops_basic.ma".
-
-(* CONTEXT-SENSITIVE PARALLEL R-TRANSITION FOR TERMS ************************)
-
-(* Properties with context-free sort-irrelevant equivalence *****************)
-
-lemma cpr_abbr_pos_tneqx (h) (G) (L) (V) (T1):
-      ∃∃T2. ❪G,L❫ ⊢ +ⓓV.T1 ➡[h,0] T2 & (+ⓓV.T1 ≛ T2 → ⊥).
-#h #G #L #V #U1
-elim (cpr_subst h G (L.ⓓV) U1 … 0) [|*: /2 width=4 by drops_refl/ ] #U2 #T2 #HU12 #HTU2
-elim (teqx_dec U1 U2) [ -HU12 #HU12 | -HTU2 #HnU12 ]
-[ elim (teqx_inv_lifts_dx … HU12 … HTU2) -U2 #T1 #HTU1 #_ -T2
-  /3 width=9 by cpm_zeta, teqx_lifts_inv_pair_sn, ex2_intro/
-| @(ex2_intro … (+ⓓV.U2)) [ /2 width=1 by cpm_bind/ ] -HU12 #H
-  elim (teqx_inv_pair … H) -H #_ #_ /2 width=1 by/
-]
-qed-.