theory of generic slicing almost completed ....

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / relocation / drops_vector.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_vector.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/drops_vector.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 "basic_2/relocation/lifts_vector.ma".
+include "basic_2/relocation/drops.ma".
+
+(* GENERAL SLICING FOR LOCAL ENVIRONMENTS ***********************************)
+
+definition d_liftable1_all: relation2 lenv term → predicate bool ≝
+                            λR,s. ∀L,K,t. ⬇*[s, t] L ≡ K →
+                            ∀Ts,Us. ⬆*[t] Ts ≡ Us →
+                            all … (R K) Ts → all … (R L) Us.
+
+(* Properties on general relocation for term vectors ************************)
+
+(* Basic_2A1: was: d1_liftables_liftables_all *)
+lemma d1_liftable_liftable_all: ∀R,s. d_liftable1 R s → d_liftable1_all R s.
+#R #s #HR #L #K #t #HLK #Ts #Us #H elim H -Ts -Us normalize //
+#Ts #Us #T #U #HTU #_ #IHTUs * /3 width=7 by conj/
+qed.