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4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
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15 include "basic_2/static/lfeq_fsle.ma".
16 include "basic_2/static/lfdeq.ma".
18 (* DEGREE-BASED EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES ******)
20 (* Properties with syntactic equivalence on referred entries ****************)
22 lemma lfeq_lfdeq: ∀h,o,L1,L2. ∀T:term. L1 ≡[T] L2 → L1 ≛[h, o, T] L2.
23 /2 width=3 by lfxs_co/ qed.
25 lemma lfeq_lfdeq_trans: ∀h,o,L1,L. ∀T:term. L1 ≡[T] L →
26 ∀L2. L ≛[h, o, T] L2 → L1 ≛[h, o, T] L2.
27 /2 width=3 by lfeq_lfxs_trans/ qed-.