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[helm.git] / matita / matita / contribs / lambdadelta / ground / relocation / gr_id_eq.ma
diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_id_eq.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_id_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".
-include "ground/relocation/gr_id.ma".
-
-(* IDENTITY ELEMENT FOR GENERIC RELOCATION MAPS *****************************)
-
-(* Constructions with gr_eq *************************************************)
-
-corec lemma gr_id_eq (f): ⫯f ≡ f → 𝐢 ≡ f.
-cases gr_id_unfold #Hf
-cases (gr_eq_inv_push_sn … Hf) [|*: // ] #_ #H
-cases H in Hf; -H #Hf
-@gr_eq_push [3:|*: // ]
-/3 width=5 by gr_eq_inv_push_bi/
-qed.
-
-(* Inversions with gr_eq ****************************************************)
-
-(* Note: this has the same proof of the previous *)
-corec lemma gr_id_inv_eq (f): 𝐢 ≡ f → ⫯f ≡ f.
-cases gr_id_unfold #Hf
-cases (gr_eq_inv_push_sn … Hf) [|*: // ] #_ #H
-cases H in Hf; -H #Hf
-@gr_eq_push [3:|*: // ]
-/3 width=5 by gr_eq_inv_push_bi/
-qed-.