milestone update in ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_sle_isd.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_sle_isd.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_isd.ma".
+include "ground/relocation/gr_sle.ma".
+
+(* INCLUSION FOR GENERIC RELOCATION MAPS ***********************************************************)
+
+(* Properties with isdiv ****************************************************)
+
+(*** sle_isdiv_dx *)
+corec lemma gr_sle_isd_dx:
+            ∀f2. 𝛀❪f2❫ → ∀f1. f1 ⊆ f2.
+#f2 * -f2
+#f2 #g2 #Hf2 #H2 #f1 cases (gr_map_split_tl f1) *
+/3 width=5 by gr_sle_weak, gr_sle_next/
+qed.
+
+(* Inversion lemmas with isdiv **********************************************)
+
+(*** sle_inv_isdiv_sn *)
+corec lemma gr_sle_inv_isd_sn:
+            ∀f1,f2. f1 ⊆ f2 → 𝛀❪f1❫ → 𝛀❪f2❫.
+#f1 #f2 * -f1 -f2
+#f1 #f2 #g1 #g2 #Hf * * #H
+[1,3: elim (gr_isd_inv_push … H) // ]
+lapply (gr_isd_inv_next … H ??) -H
+/3 width=3 by gr_isd_next/
+qed-.