update in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / unwind / unwind2_prototerm_lift.ma

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_prototerm_lift.ma b/matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_prototerm_lift.ma
new file mode 100644 (file)
index 0000000..8e3d2cf
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_prototerm_lift.ma
@@ -0,0 +1,31 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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                  *)
+(*                                                                        *)
+(**************************************************************************)
+
+(**) (* reverse include *)
+include "ground/lib/subset_ext_equivalence.ma".
+include "delayed_updating/substitution/lift_prototerm.ma".
+include "delayed_updating/unwind/unwind2_path_lift.ma".
+include "delayed_updating/unwind/unwind2_prototerm.ma".
+
+(* UNWIND FOR PROTOTERM *****************************************************)
+
+(* Constructions with lift_prototerm ****************************************)
+
+lemma unwind2_lift_term_after (f1) (f2) (t):
+      ↑[f2]▼[f1]t ⇔ ▼[f2∘f1]t.
+#f1 #f2 #t @subset_eq_trans
+[| @subset_inclusion_ext_f1_compose ]
+@subset_equivalence_ext_f1_exteq #p
+@unwind2_lift_path_after
+qed.