matita/matita/contribs/lambdadelta/delayed_updating/etc/relocation/sbr_pap_eq.etc

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   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
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  14
  15 include "delayed_updating/relocation/sbr_pap.ma".
  16 include "ground/relocation/tr_eq.ma".
  17
  18 (* POSITIVE APPLICATION FOR STACKS OF BASIC RELOCATION MAPS *****************)
  19
  20 (* Main constructions with stream_eq ****************************************)
  21
  22 theorem sbr_pap_eq_repl_sn (i):
  23         stream_eq_repl … (λf1,f2. f1❘@❨i❩ = f2❘@❨i❩).
  24 #i elim i -i [| #i #IH ]
  25 * [ #p1 | * [| #p1 ]] #f1
  26 * #p2 #f2 #H
  27 elim (stream_eq_inv_cons_bi … H) -H [1,8,15: |*: // ] #Hp #Hf destruct //
  28 <sbr_pap_unfold_unit_succ <sbr_pap_unfold_unit_succ
  29 /3 width=1 by eq_f/
  30 qed.