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diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpme.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpme.ma
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--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpme.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/rt_computation/cprs_cnr.ma".
-include "basic_2/rt_computation/cpre.ma".
-include "basic_2/dynamic/cnv_preserve.ma".
-
-(* CONTEXT-SENSITIVE NATIVE VALIDITY FOR TERMS ******************************)
-
-(* Properties with t-bound evaluation on terms ******************************)
-
-lemma cnv_cpme_trans (h) (a) (n) (G) (L):
-      ∀T1. ⦃G,L⦄ ⊢ T1 ![h,a] →
-      ∀T2. ⦃G,L⦄ ⊢ T1 ➡*[h,n] 𝐍⦃T2⦄ → ⦃G,L⦄ ⊢ T2 ![h,a].
-#h #a #n #G #L #T1 #HT1 #T2 * #HT12 #_
-/2 width=4 by cnv_cpms_trans/
-qed-.
-
-lemma cnv_cpme_cpms_conf (h) (a) (n) (G) (L):
-      ∀T. ⦃G,L⦄ ⊢ T ![h,a] → ∀T1. ⦃G,L⦄ ⊢ T ➡*[n,h] T1 →
-      ∀T2. ⦃G,L⦄ ⊢ T ➡*[h,n] 𝐍⦃T2⦄ → ⦃G,L⦄ ⊢ T1 ➡*[h] 𝐍⦃T2⦄.
-#h #a #n #G #L #T0 #HT0 #T1 #HT01 #T2 * #HT02 #HT2
-elim (cnv_cpms_conf … HT0 … HT01 … HT02) -T0 <minus_n_n #T0 #HT10 #HT20
-lapply (cprs_inv_cnr_sn … HT20 HT2) -HT20 #H destruct
-/2 width=1 by cpme_intro/
-qed-.
-
-(* Main properties with evaluation for t-bound rt-transition on terms *****)
-
-theorem cnv_cpme_mono (h) (a) (n) (G) (L):
-        ∀T. ⦃G,L⦄ ⊢ T ![h,a] → ∀T1. ⦃G,L⦄ ⊢ T ➡*[h,n] 𝐍⦃T1⦄ →
-        ∀T2. ⦃G,L⦄ ⊢ T ➡*[h,n] 𝐍⦃T2⦄ → T1 = T2.
-#h #a #n #G #L #T0 #HT0 #T1 * #HT01 #HT1 #T2 * #HT02 #HT2
-elim (cnv_cpms_conf … HT0 … HT01 … HT02) -T0 <minus_n_n #T0 #HT10 #HT20
-/3 width=7 by cprs_inv_cnr_sn, canc_dx_eq/
-qed-.