update in ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_isi.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_isi.ma
deleted file mode 100644 (file)
index e9a41cf..0000000
--- a/matita/matita/contribs/lambdadelta/ground/relocation/gr_isi.ma
+++ /dev/null
@@ -1,54 +0,0 @@
-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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/notation/relations/predicate_i_1.ma".
-include "ground/relocation/gr_map.ma".
-
-(* IDENTITY CONDITION FOR GENERIC RELOCATION MAPS ***************************)
-
-(*** isid *)
-coinductive gr_isi: predicate gr_map ≝
-(*** isid_push *)
-| gr_isi_push (f) (g):
-  gr_isi f → ⫯f = g → gr_isi g
-.
-
-interpretation
-  "identity condition (generic relocation maps)"
-  'PredicateI f = (gr_isi f).
-
-(* Basic inversions *********************************************************)
-
-(*** isid_inv_gen *)
-lemma gr_isi_inv_gen (g): 𝐈❪g❫ → ∃∃f. 𝐈❪f❫ & ⫯f = g.
-#g * -g
-#f #g #Hf /2 width=3 by ex2_intro/
-qed-.
-
-(* Advanced inversions ******************************************************)
-
-(*** isid_inv_push *)
-lemma gr_isi_inv_push (g): 𝐈❪g❫ → ∀f. ⫯f = g → 𝐈❪f❫.
-#g #H
-elim (gr_isi_inv_gen … H) -H #f #Hf
-* -g #g #H
->(eq_inv_gr_push_bi … H) -H //
-qed-.
-
-(*** isid_inv_next *)
-lemma gr_isi_inv_next (g): 𝐈❪g❫ → ∀f. ↑f = g → ⊥.
-#g #H
-elim (gr_isi_inv_gen … H) -H #f #Hf
-* -g #g #H elim (eq_inv_gr_next_push … H)
-qed-.