]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/static/lfeq_fsle.ma
renaming in basic_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / static / lfeq_fsle.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/lfxs_length.ma".
-include "basic_2/static/lfxs_fsle.ma".
-include "basic_2/static/lfeq.ma".
-
-(* SYNTACTIC EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES *********)
-
-(* Properties with free variables inclusion for restricted closures *********)
-
-lemma lfeq_fsle_comp: lfxs_fsle_compatible ceq.
-#L1 #L2 #T #HL12
-elim (frees_total L1 T)
-/4 width=8 by frees_lfeq_conf, lfxs_fwd_length, lveq_length_eq, sle_refl, ex4_4_intro/
-qed.
-
-(* Forward lemmas with free variables inclusion for restricted closures *****)
-
-lemma lfeq_lfxs_trans: ∀R. lfeq_transitive R →
-                       ∀L1,L,T. L1 ≡[T] L → ∀L2. L ⪤*[R, T] L2 → L1 ⪤*[R, T] L2.
-/4 width=16 by lfeq_fsle_comp, lfxs_trans_fsle, lfxs_trans_next/ qed-.