matita/matita/contribs/lambdadelta/basic_2/static/fdeq_req.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
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   9 (*      \   /                                                             *)
  10 (*       \ /        This file is distributed under the terms of the       *)
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  13 (**************************************************************************)
  14
  15 include "basic_2/static/rdeq_req.ma".
  16 include "basic_2/static/fdeq.ma".
  17
  18 (* DEGREE-BASED EQUIVALENCE FOR CLOSURES ON REFERRED ENTRIES ****************)
  19
  20 (* Properties with syntactic equivalence on referred entries ****************)
  21
  22 lemma req_rdeq_trans: ∀h,o,L1,L,T1. L1 ≡[T1] L →
  23                       ∀G1,G2,L2,T2. ⦃G1, L, T1⦄ ≛[h, o] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ≛[h, o] ⦃G2, L2, T2⦄.
  24 #h #o #L1 #L #T1 #HL1 #G1 #G2 #L2 #T2 #H
  25 elim (fdeq_inv_gen_sn … H) -H #H #HL2 #T12 destruct
  26 /3 width=3 by fdeq_intro_sn, req_rdeq_trans/
  27 qed-.