+++ /dev/null
-(**************************************************************************)
-(* ___ *)
-(* ||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-.