matita/matita/contribs/lambdadelta/ground/relocation/pr_coafter_isu.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_isi_pushs.ma".
  16 include "ground/relocation/pr_isu_uni.ma".
  17 include "ground/relocation/pr_coafter_uni_pushs.ma".
  18
  19 (* RELATIONAL CO-COMPOSITION FOR PARTIAL RELOCATION MAPS ********************)
  20
  21 (* Constructions with pr_isu and pr_isi *************************************)
  22
  23 (*** coafter_isuni_isid *)
  24 lemma pr_coafter_isu_isi:
  25       ∀f2. 𝐈❨f2❩ → ∀f1. 𝐔❨f1❩ → f1 ~⊚ f2 ≘ f2.
  26 #f #Hf #g #H
  27 elim (pr_isu_inv_uni … H) -H #n #H
  28 /5 width=4 by pr_isi_pushs, pr_isi_inv_eq_repl, pr_coafter_eq_repl_back, pr_coafter_eq_repl_back_sn/
  29 qed.