Merge branch 'matita-lablgtk3' of ssh://matita.cs.unibo.it:/srv/git/helm into matita...

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / relocation / lifts_basic.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/relocation/lifts_basic.ma b/matita/matita/contribs/lambdadelta/static_2/relocation/lifts_basic.ma
new file mode 100644 (file)
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+++ b/matita/matita/contribs/lambdadelta/static_2/relocation/lifts_basic.ma
@@ -0,0 +1,36 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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_2/relocation/rtmap_basic_after.ma".
+include "static_2/notation/relations/rlift_4.ma".
+include "static_2/relocation/lifts.ma".
+
+(* GENERIC RELOCATION FOR TERMS *********************************************)
+
+interpretation "basic relocation (term)"
+   'RLift m n T1 T2 = (lifts (basic m n) T1 T2).
+
+(* Properties with basic relocation *****************************************)
+
+lemma lifts_lref_lt (m,n,i): i < m → ⬆[m,n] #i ≘ #i.
+/3 width=1 by lifts_lref, at_basic_lt/ qed.
+
+lemma lifts_lref_ge (m,n,i): m ≤ i → ⬆[m,n] #i ≘ #(n+i).
+/3 width=1 by lifts_lref, at_basic_ge/ qed.
+
+lemma lifts_lref_ge_minus (m,n,i): n+m ≤ i → ⬆[m,n] #(i-n) ≘ #i.
+#m #n #i #Hi
+>(plus_minus_m_m i n) in ⊢ (???%);
+/3 width=2 by lifts_lref_ge, le_plus_to_minus_l, le_plus_b/
+qed.