]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_computation/lpxs_ffdeq.ma
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[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / lpxs_ffdeq.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/static/ffdeq.ma".
-include "basic_2/rt_computation/lpxs_lfdeq.ma".
-
-(* UNBOUND PARALLEL RT-COMPUTATION FOR FULL LOCAL ENVIRONMENTS **************)
-
-(* Properties with degree-based equivalence on closures *********************)
-
-lemma ffdeq_lpxs_trans (h) (o): ∀G1,G2,L1,L0,T1,T2. ⦃G1, L1, T1⦄ ≛[h, o] ⦃G2, L0, T2⦄ →
-                                ∀L2. ⦃G2, L0⦄ ⊢⬈*[h] L2 →
-                                ∃∃L. ⦃G1, L1⦄ ⊢⬈*[h] L & ⦃G1, L, T1⦄ ≛[h, o] ⦃G2, L2, T2⦄.
-#h #o #G1 #G2 #L1 #L0 #T1 #T2 #H1 #L2 #HL02
-elim (ffdeq_inv_gen_dx … H1) -H1 #HG #HL10 #HT12 destruct
-elim (lfdeq_lpxs_trans … HL02 … HL10) -L0 #L0 #HL10 #HL02
-/3 width=3 by ffdeq_intro_dx, ex2_intro/
-qed-.