]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/static/ffdeq_lfeq.ma
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[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / static / ffdeq_lfeq.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/lfdeq_lfeq.ma".
-include "basic_2/static/ffdeq.ma".
-
-(* DEGREE-BASED EQUIVALENCE FOR CLOSURES ON REFERRED ENTRIES ****************)
-
-(* Properties with syntactic equivalence on referred entries ****************)
-
-lemma lfeq_lfdeq_trans: ∀h,o,L1,L,T1. L1 ≡[T1] L →
-                        ∀G1,G2,L2,T2. ⦃G1, L, T1⦄ ≛[h, o] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ≛[h, o] ⦃G2, L2, T2⦄.
-#h #o #L1 #L #T1 #HL1 #G1 #G2 #L2 #T2 #H
-elim (ffdeq_inv_gen_sn … H) -H #H #HL2 #T12 destruct
-/3 width=3 by ffdeq_intro_sn, lfeq_lfdeq_trans/
-qed-.