update in ground

[helm.git] / matita / matita / contribs / lambdadelta / ground / relocation / gr_isi_eq.ma

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_isi_eq.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_isi_eq.ma
deleted file mode 100644 (file)
index 7a1967d..0000000
--- a/matita/matita/contribs/lambdadelta/ground/relocation/gr_isi_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_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-.