milestone update in ground

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

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/gr_isu_tl.ma b/matita/matita/contribs/lambdadelta/ground/relocation/gr_isu_tl.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.ma".
+include "ground/relocation/gr_isu.ma".
+
+(* UNIFORMITY CONDITION FOR GENERIC RELOCATION MAPS ***********************************************************)
+
+(* Properties with tail *****************************************************)
+
+lemma gr_isu_tl (f): 𝐔❪f❫ → 𝐔❪⫱f❫.
+#f cases (gr_map_split_tl f) * #H
+[ /3 width=3 by gr_isu_inv_push, gr_isu_isi/
+| /2 width=3 by gr_isu_inv_next/
+]
+qed.
+
+(* Advanced inversion lemmas ***************************************************)
+
+(*** isuni_split *)
+lemma gr_isu_split (g): 𝐔❪g❫ → ∨∨ (∃∃f. 𝐈❪f❫ & ⫯f = g) | (∃∃f.𝐔❪f❫ & ↑f = g).
+#g elim (gr_map_split_tl g) * #H
+/4 width=3 by gr_isu_inv_next, gr_isu_inv_push, or_introl, or_intror, ex2_intro/
+qed-.