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4 (* ||A|| A project by Andrea Asperti *)
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7 (* ||T|| The HELM team. *)
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15 include "basic_2/static/lfxs_lfxs.ma".
16 include "basic_2/static/lfeq.ma".
18 (* SYNTACTIC EQUIVALENCE FOR LOCAL ENVIRONMENTS ON REFERRED ENTRIES *********)
20 (* Advanced forward lemmas **************************************************)
22 (* Note: the proof should may invoke lfeq_transitive_inv_lfxs *)
23 lemma lfeq_lfxs_trans: ∀R. c_reflexive … R → lfeq_transitive R →
25 ∀L2. L ⪤*[R, T] L2 → L1 ⪤*[R, T] L2.
26 /3 width=9 by lfxs_trans_gen/ qed-.