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update in static_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpx_feqx.ma
diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_feqx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_feqx.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/static/feqx.ma".
-include "basic_2/rt_transition/cpx_reqx.ma".
-include "basic_2/rt_transition/rpx_reqx.ma".
-
-(* EXTENDED CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS **************)
-
-(* Properties with sort-irrelevant equivalence for closures *****************)
-
-(**) (* to update *)
-lemma feqx_cpx_trans:
-      ∀G1,G2,L1,L2,T1,T. ❪G1,L1,T1❫ ≛ ❪G2,L2,T❫ →
-      ∀T2. ❪G2,L2❫ ⊢ T ⬈ T2 →
-      ∃∃T0. ❪G1,L1❫ ⊢ T1 ⬈ T0 & ❪G1,L1,T0❫ ≛ ❪G2,L2,T2❫.
-#G1 #G2 #L1 #L2 #T1 #T #H #T2 #HT2
-elim (feqx_inv_gen_dx … H) -H #H #HL12 #HT1 destruct
-lapply (reqx_cpx_trans … HL12 … HT2) #H
-lapply (cpx_reqx_conf_dx … HT2 … HL12) -HT2 -HL12 #HL12
-lapply (teqx_cpx_trans … HT1 … H) -T #HT12
-/3 width=3 by feqx_intro_dx, ex2_intro/
-qed-.