- improved arithmetics for natural numbers with infinity

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/fquq_lleq.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/fquq_lleq.ma
new file mode 100644 (file)
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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/fqu_lleq.ma".
+include "basic_2/relocation/fquq_alt.ma".
+
+(* OPTIONAL SUPCLOSURE ******************************************************)
+
+(* Properties on lazy equivalence for local environments ********************)
+
+lemma lleq_fquq_trans: ∀G1,G2,L2,K2,T,U. ⦃G1, L2, T⦄ ⊃⸮ ⦃G2, K2, U⦄ →
+                       ∀L1. L1 ⋕[0, T] L2 →
+                       ∃∃K1. ⦃G1, L1, T⦄ ⊃⸮ ⦃G2, K1, U⦄ & K1 ⋕[0, U] K2.
+#G1 #G2 #L2 #K2 #T #U #H #L1 #HL12 elim(fquq_inv_gen … H) -H
+[ #H elim (lleq_fqu_trans … H … HL12) -L2 /3 width=3 by fqu_fquq, ex2_intro/
+| * #HG #HL #HT destruct /2 width=3 by ex2_intro/
+]
+qed-.