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[helm.git] / matita / matita / contribs / lambdadelta / ground / relocation / gr_tl_eq_eq.ma
diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_tl_eq_eq.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_tl_eq_eq.ma
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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||M||                                                             *)
-(*      ||A||       A project by Andrea Asperti                           *)
-(*      ||T||                                                             *)
-(*      ||I||       Developers:                                           *)
-(*      ||T||         The HELM team.                                      *)
-(*      ||A||         http://helm.cs.unibo.it                             *)
-(*      \   /                                                             *)
-(*       \ /        This file is distributed under the terms of the       *)
-(*        v         GNU General Public License Version 2                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-include "ground/relocation/gr_tl_eq.ma".
-
-(* TAIL FOR GENERIC RELOCATION MAPS *****************************************)
-
-(* Main constructions with gr_eq ********************************************)
-
-(*** eq_trans *)
-corec theorem gr_eq_trans: Transitive … gr_eq.
-#f1 #f * -f1 -f
-#f1 #f #g1 #g #Hf1 #H1 #H #f2 #Hf2
-[ cases (gr_eq_inv_push_sn … Hf2 … H)
-| cases (gr_eq_inv_next_sn … Hf2 … H)
-] -g
-/3 width=5 by gr_eq_push, gr_eq_next/
-qed-.
-
-(*** eq_canc_sn *)
-theorem gr_eq_canc_sn (f2): gr_eq_repl_back (λf. f ≡ f2).
-/3 width=3 by gr_eq_trans, gr_eq_sym/ qed-.
-
-(*** eq_canc_dx *)
-theorem gr_eq_canc_dx (f1): gr_eq_repl_fwd (λf. f1 ≡ f).
-/3 width=5 by gr_eq_canc_sn, gr_eq_repl_sym/ qed-.