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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/relocation/lifts_tdeq.ma".
-include "static_2/static/rex_length.ma".
-include "static_2/static/rex_fsle.ma".
-include "static_2/static/rdeq.ma".
-
-(* SORT-IRRELEVANT EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES ***)
-
-(* Advanved properties with free variables inclusion ************************)
-
-lemma rdeq_fsge_comp: rex_fsge_compatible cdeq.
-#L1 #L2 #T * #f1 #Hf1 #HL12
-lapply (frees_rdeq_conf … Hf1 … HL12)
-lapply (sex_fwd_length … HL12)
-/3 width=8 by lveq_length_eq, ex4_4_intro/ (**) (* full auto fails *)
-qed-.
-
-(* Properties with length for local environments ****************************)
-
-(* Basic_2A1: uses: lleq_sort *)
-lemma rdeq_sort_length: ∀L1,L2. |L1| = |L2| → ∀s. L1 ≛[⋆s] L2.
-/2 width=1 by rex_sort_length/ qed.
-
-(* Basic_2A1: uses: lleq_gref *)
-lemma rdeq_gref_length: ∀L1,L2. |L1| = |L2| → ∀l. L1 ≛[§l] L2.
-/2 width=1 by rex_gref_length/ qed.
-
-lemma rdeq_unit_length: ∀L1,L2. |L1| = |L2| →
-                        ∀I. L1.ⓤ{I} ≛[#0] L2.ⓤ{I}.
-/2 width=1 by rex_unit_length/ qed.
-
-(* Basic_2A1: uses: lleq_lift_le lleq_lift_ge *)
-lemma rdeq_lifts_bi: ∀L1,L2. |L1| = |L2| → ∀K1,K2,T. K1 ≛[T] K2 →
-                     ∀b,f. ⇩*[b,f] L1 ≘ K1 → ⇩*[b,f] L2 ≘ K2 →
-                     ∀U. ⇧*[f] T ≘ U → L1 ≛[U] L2.
-/3 width=9 by rex_lifts_bi, tdeq_lifts_sn/ qed-.
-
-(* Forward lemmas with length for local environments ************************)
-
-(* Basic_2A1: lleq_fwd_length *)
-lemma rdeq_fwd_length: ∀L1,L2. ∀T:term. L1 ≛[T] L2 → |L1| = |L2|.
-/2 width=3 by rex_fwd_length/ qed-.