ground_2 released and permanently renamed as ground

[helm.git] / matita / matita / contribs / lambdadelta / ground / relocation / rtmap_tl.ma

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/rtmap_tl.ma b/matita/matita/contribs/lambdadelta/ground/relocation/rtmap_tl.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 "ground/notation/functions/droppred_1.ma".
+include "ground/relocation/rtmap_eq.ma".
+
+(* RELOCATION MAP ***********************************************************)
+
+definition tl: rtmap → rtmap.
+@case_type0 #f @f
+defined.
+
+interpretation "tail (rtmap)" 'DropPred f = (tl f).
+
+(* Basic properties *********************************************************)
+
+lemma tl_rew: ∀f. case_type0 (λ_:rtmap.rtmap) (λf:rtmap.f) (λf:rtmap.f) f = ⫱f.
+// qed.
+
+lemma tl_push_rew: ∀f. f = ⫱⫯f.
+#f <tl_rew <iota_push //
+qed.
+
+lemma tl_next_rew: ∀f. f = ⫱↑f.
+#f <tl_rew <iota_next //
+qed.
+
+lemma tl_eq_repl: eq_repl … (λf1,f2. ⫱f1 ≡ ⫱f2).
+#f1 #f2 * -f1 -f2 //
+qed.