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

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
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   9 (*      \   /                                                             *)
  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
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  14
  15 include "ground/relocation/pr_pushs.ma".
  16 include "ground/relocation/pr_sle.ma".
  17
  18 (* INCLUSION FOR PARTIAL RELOCATION MAPS ************************************)
  19
  20 (* Constructions with pr_pushs **********************************************)
  21
  22 (*** sle_pushs *)
  23 lemma pr_sle_pushs:
  24       ∀f1,f2. f1 ⊆ f2 → ∀n. ⫯*[n] f1 ⊆ ⫯*[n] f2.
  25 #f1 #f2 #Hf12 #n @(nat_ind_succ … n) -n
  26 /2 width=5 by pr_sle_push/
  27 qed.