matita/matita/contribs/lambdadelta/basic_2/etc_new/lfxs_main.etc

   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 "basic_2/static/lfxs_lfxs.ma".
  16 include "basic_2/static/frees_frees.ma".
  17
  18 (* GENERIC EXTENSION ON REFERRED ENTRIES OF A CONTEXT-SENSITIVE REALTION ****)
  19
  20 theorem lfxs_conf: ∀R. R_confluent_lfxs R R R R →
  21                    ∀T. confluent … (lfxs R T).
  22 #R #H1R #T #L0 #L1 * #f1 #Hf1 #HL01 #L2 * #f #Hf #HL02
  23 lapply (frees_mono … Hf1 … Hf) -Hf1 #Hf12
  24 lapply (lexs_eq_repl_back … HL01 … Hf12) -f1 #HL01
  25 elim (lexs_conf … HL01 … HL02)