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[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / lpxs_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_computation/lpxs_rdeq.ma".
-
-(* UNBOUND PARALLEL RT-COMPUTATION FOR FULL LOCAL ENVIRONMENTS **************)
-
-(* Properties with sort-irrelevant equivalence on closures ******************)
-
-lemma fdeq_lpxs_trans (h): ∀G1,G2,L1,L0,T1,T2. ⦃G1,L1,T1⦄ ≛ ⦃G2,L0,T2⦄ →
-                           ∀L2. ⦃G2,L0⦄ ⊢⬈*[h] L2 →
-                           ∃∃L. ⦃G1,L1⦄ ⊢⬈*[h] L & ⦃G1,L,T1⦄ ≛ ⦃G2,L2,T2⦄.
-#h #G1 #G2 #L1 #L0 #T1 #T2 #H1 #L2 #HL02
-elim (fdeq_inv_gen_dx … H1) -H1 #HG #HL10 #HT12 destruct
-elim (rdeq_lpxs_trans … HL02 … HL10) -L0 #L0 #HL10 #HL02
-/3 width=3 by fdeq_intro_dx, ex2_intro/
-qed-.