matita/matita/contribs/lambdadelta/ground/relocation/tr_compose_eq.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
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   8 (*      ||A||         http://helm.cs.unibo.it                             *)
   9 (*      \   /                                                             *)
  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
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  13 (**************************************************************************)
  14
  15 include "ground/relocation/tr_compose.ma".
  16 include "ground/relocation/tr_pap_eq.ma".
  17 include "ground/lib/stream_tls_eq.ma".
  18
  19 (* COMPOSITION FOR TOTAL RELOCATION MAPS ************************************)
  20
  21 (* Constructions with stream_eq *********************************************)
  22
  23 corec lemma tr_compose_eq_repl (f2) (g2):
  24             f2 ≗ g2 → stream_eq_repl … (λf1,g1. f2∘f1 ≗ g2∘g1).
  25 #Hfg2 * #p1 #f1 * #q1 #g1 #H
  26 cases (stream_eq_inv_cons_bi … H) -H [|*: // ] * #Hfg1 -q1
  27 cases tr_compose_unfold cases tr_compose_unfold
  28 /5 width=1 by tr_pap_eq_repl, stream_tls_eq_repl, stream_eq_cons/
  29 qed.