theory of multiple relocation completed

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/lifts_simple.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/lifts_simple.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/grammar/term_simple.ma".
+include "basic_2/relocation/lifts.ma".
+
+(* GENERIC TERM RELOCATION **************************************************)
+
+(* Forward lemmas on simple terms *******************************************)
+
+(* Basic_2A1: includes: lift_simple_dx *)
+lemma lifts_simple_dx: ∀T1,T2,t. ⬆*[t] T1 ≡ T2 → 𝐒⦃T1⦄ → 𝐒⦃T2⦄.
+#T1 #T2 #t #H elim H -T1 -T2 -t //
+#a #I #V1 #V2 #T1 #T2 #t #_ #_ #_ #_ #H elim (simple_inv_bind … H)
+qed-.
+
+(* Basic_2A1: includes: lift_simple_sn *)
+lemma lifts_simple_sn: ∀T1,T2,t. ⬆*[t] T1 ≡ T2 → 𝐒⦃T2⦄ → 𝐒⦃T1⦄.
+#T1 #T2 #t #H elim H -T1 -T2 -t //
+#a #I #V1 #V2 #T1 #T2 #t #_ #_ #_ #_ #H elim (simple_inv_bind … H)
+qed-.