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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 *)
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15 include "static_2/static/rex_length.ma".
16 include "static_2/static/rex_fsle.ma".
17 include "static_2/static/req.ma".
19 (* SYNTACTIC EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES *********)
21 (* Properties with free variables inclusion for restricted closures *********)
24 rex_fsle_compatible ceq.
26 elim (frees_total L1 T)
27 /4 width=8 by frees_req_conf, rex_fwd_length, lveq_length_eq, sle_refl, ex4_4_intro/
30 (* Forward lemmas with free variables inclusion for restricted closures *****)
32 lemma req_rex_trans (R):
34 ∀L1,L,T. L1 ≡[T] L → ∀L2. L ⪤[R,T] L2 → L1 ⪤[R,T] L2.
35 /4 width=16 by req_fsle_comp, rex_trans_fsle, rex_trans_next/ qed-.