milestone update in ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_sle_isi.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_sle_isi.ma
new file mode 100644 (file)
index 0000000..b05a5da
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/ground/relocation/gr_sle_isi.ma
@@ -0,0 +1,40 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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.ma".
+include "ground/relocation/gr_sle.ma".
+
+(* INCLUSION FOR GENERIC RELOCATION MAPS ***********************************************************)
+
+(* Properties with isid *****************************************************)
+
+(*** sle_isid_sn *)
+corec lemma gr_sle_isi_sn:
+            ∀f1. 𝐈❪f1❫ → ∀f2. f1 ⊆ f2.
+#f1 * -f1
+#f1 #g1 #Hf1 #H1 #f2 cases (gr_map_split_tl f2) *
+/3 width=5 by gr_sle_weak, gr_sle_push/
+qed.
+
+(* Inversion lemmas with isid ***********************************************)
+
+(*** sle_inv_isid_dx *)
+corec lemma gr_sle_inv_isi_dx:
+            ∀f1,f2. f1 ⊆ f2 → 𝐈❪f2❫ → 𝐈❪f1❫.
+#f1 #f2 * -f1 -f2
+#f1 #f2 #g1 #g2 #Hf * * #H
+[2,3: elim (gr_isi_inv_next … H) // ]
+lapply (gr_isi_inv_push … H ??) -H
+/3 width=3 by gr_isi_push/
+qed-.