+++ /dev/null
-(**************************************************************************)
-(* ___ *)
-(* ||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_eq.ma".
-include "ground/relocation/gr_isi.ma".
-
-(* IDENTITY CONDITION FOR GENERIC RELOCATION MAPS ***************************)
-
-(* Constructions with gr_eq *************************************************)
-
-(*** isid_eq_repl_back *)
-corec lemma gr_isi_eq_repl_back:
- gr_eq_repl_back … gr_isi.
-#f1 #H
-cases (gr_isi_inv_gen … H) -H #g1 #Hg1 #H1 #f2 #Hf
-cases (gr_eq_inv_push_sn … Hf … H1) -f1
-/3 width=3 by gr_isi_push/
-qed-.
-
-(*** isid_eq_repl_fwd *)
-lemma gr_isi_eq_repl_fwd:
- gr_eq_repl_fwd … gr_isi.
-/3 width=3 by gr_isi_eq_repl_back, gr_eq_repl_sym/ qed-.
-
-(* Main inversions with gr_eq ***********************************************)
-
-(*** isid_inv_eq_repl *)
-corec theorem gr_isi_inv_eq_repl (g1) (g2): 𝐈❪g1❫ → 𝐈❪g2❫ → g1 ≡ g2.
-#H1 #H2
-cases (gr_isi_inv_gen … H1) -H1
-cases (gr_isi_inv_gen … H2) -H2
-/3 width=5 by gr_eq_push/
-qed-.
-
-(* Alternative definition with gr_eq ****************************************)
-
-(*** eq_push_isid *)
-corec lemma gr_eq_push_isi (f): ⫯f ≡ f → 𝐈❪f❫.
-#H cases (gr_eq_inv_push_sn … H) -H
-/4 width=3 by gr_isi_push, gr_eq_trans/
-qed.
-
-(*** eq_push_inv_isid *)
-corec lemma gr_isi_inv_eq_push (g): 𝐈❪g❫ → ⫯g ≡ g.
-* -g #f #g #Hf *
-/3 width=5 by gr_eq_push/
-qed-.