matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_rmap_eq.ma

   1 (**************************************************************************)
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   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
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  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 "delayed_updating/unwind/unwind2_rmap.ma".
  16 include "delayed_updating/unwind/preunwind2_rmap_eq.ma".
  17 include "ground/relocation/tr_uni_compose.ma".
  18 include "ground/arith/nat_rplus_pplus.ma".
  19
  20 (* TAILED UNWIND FOR RELOCATION MAP *****************************************)
  21
  22 (* Constructions with tr_map_eq *********************************************)
  23
  24 lemma unwind2_rmap_eq_repl (p):
  25       stream_eq_repl … (λf1,f2. ▶[f1]p ≗ ▶[f2]p).
  26 #p elim p -p //
  27 #l #p #IH #f1 #f2 #Hf
  28 /3 width=1 by preunwind2_rmap_eq_repl/
  29 qed-.
  30
  31 lemma tls_unwind2_rmap_d_dx (f) (p) (h) (k):
  32       ⇂*[h+k]▶[f]p ≗ ⇂*[h]▶[f](p◖𝗱k).
  33 #f #p #h #k
  34 <unwind2_rmap_d_dx >nrplus_inj_dx
  35 /2 width=1 by tr_tls_compose_uni_dx/
  36 qed.