milestone update in ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_isi_pat.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_isi_pat.ma
new file mode 100644 (file)
index 0000000..95b57f5
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/ground/relocation/gr_isi_pat.ma
@@ -0,0 +1,39 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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_isi_id.ma".
+include "ground/relocation/gr_pat_pat_id.ma".
+
+(* IDENTITY CONDITION FOR GENERIC RELOCATION MAPS ***********************************************************)
+
+(* Advanced properties on isid **********************************************)
+
+(*** isid_at *)
+lemma gr_isi_pat (f): (∀i. @❪i,f❫ ≘ i) → 𝐈❪f❫.
+/3 width=1 by gr_eq_id_isi, gr_pat_inv_id/
+qed.
+
+(* Inversion lemmas on pat ****************************************)
+
+(*** isid_inv_at *)
+lemma gr_isi_inv_pat (f) (i): 𝐈❪f❫ → @❪i,f❫ ≘ i.
+/3 width=3 by gr_isi_inv_eq_id, gr_pat_id, gr_pat_eq_repl_back/
+qed-.
+
+(* Destructions with pat *)
+
+(*** isid_inv_at_mono *)
+lemma gr_isi_pat_des (f) (i1) (i2): 𝐈❪f❫ → @❪i1,f❫ ≘ i2 → i1 = i2.
+/4 width=3 by gr_isi_inv_eq_id, gr_pat_id_des, gr_pat_eq_repl_fwd/
+qed-.