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[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpx_fdeq.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/fdeq.ma".
-include "basic_2/rt_transition/cpx_rdeq.ma".
-include "basic_2/rt_transition/rpx_rdeq.ma".
-
-(* UNBOUND CONTEXT-SENSITIVE PARALLEL RT-TRANSITION FOR TERMS ***************)
-
-(* Properties with sort-irrelevant equivalence for closures *****************)
-
-lemma fdeq_cpx_trans: ∀h,G1,G2,L1,L2,T1,T. ⦃G1,L1,T1⦄ ≛ ⦃G2,L2,T⦄ →
-                      ∀T2. ⦃G2,L2⦄ ⊢ T ⬈[h] T2 →
-                      ∃∃T0. ⦃G1,L1⦄ ⊢ T1 ⬈[h] T0 & ⦃G1,L1,T0⦄ ≛ ⦃G2,L2,T2⦄.
-#h #G1 #G2 #L1 #L2 #T1 #T #H #T2 #HT2
-elim (fdeq_inv_gen_dx … H) -H #H #HL12 #HT1 destruct
-elim (rdeq_cpx_trans … HL12 … HT2) #T0 #HT0 #HT02
-lapply (cpx_rdeq_conf_dx … HT2 … HL12) -HL12 #HL12
-elim (tdeq_cpx_trans … HT1 … HT0) -T #T #HT1 #HT0
-/4 width=5 by fdeq_intro_dx, tdeq_trans, ex2_intro/
-qed-.