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

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
   7 (*      ||T||         The HELM team.                                      *)
   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                  *)
  12 (*                                                                        *)
  13 (**************************************************************************)
  14
  15 include "ground/relocation/pr_fcla.ma".
  16
  17 (* FINITE COLENGTH ASSIGNMENT FOR PARTIAL RELOCATION MAPS *******************)
  18
  19 (* Main destructions ********************************************************)
  20
  21 (*** fcla_mono *)
  22 theorem pr_fcla_mono (f):
  23         ∀n1. 𝐂❨f❩ ≘ n1 → ∀n2. 𝐂❨f❩ ≘ n2 → n1 = n2.
  24 #f #n #H elim H -f -n
  25 [ /2 width=3 by pr_fcla_inv_isi/
  26 | /3 width=3 by pr_fcla_inv_push/
  27 | #f #n1 #_ #IH #n2 #H elim (pr_fcla_inv_next … H) -H [2,3 : // ]
  28   #g #Hf #H destruct >IH //
  29 ]
  30 qed-.