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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/reqx_req.ma".
16 include "static_2/static/feqx.ma".
18 (* SORT-IRRELEVANT EQUIVALENCE FOR CLOSURES ON REFERRED ENTRIES *************)
20 (* Properties with syntactic equivalence on referred entries ****************)
22 lemma req_feqx_trans: ∀L1,L,T1. L1 ≡[T1] L →
23 ∀G1,G2,L2,T2. ❪G1,L,T1❫ ≛ ❪G2,L2,T2❫ → ❪G1,L1,T1❫ ≛ ❪G2,L2,T2❫.
24 #L1 #L #T1 #HL1 #G1 #G2 #L2 #T2 #H
25 elim (feqx_inv_gen_sn … H) -H #H #HL2 #T12 destruct
26 /3 width=3 by feqx_intro_sn, req_reqx_trans/