update in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / unwind_k / preunwind2_rmap.ma

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/unwind_k/preunwind2_rmap.ma b/matita/matita/contribs/lambdadelta/delayed_updating/unwind_k/preunwind2_rmap.ma
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+++ b/matita/matita/contribs/lambdadelta/delayed_updating/unwind_k/preunwind2_rmap.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 "delayed_updating/syntax/label.ma".
+include "delayed_updating/notation/functions/black_righttriangle_2.ma".
+include "ground/relocation/tr_uni.ma".
+include "ground/relocation/tr_compose.ma".
+
+(* TAILED PREUNWIND FOR RELOCATION MAP **************************************)
+
+definition preunwind2_rmap (f) (l): tr_map ≝
+match l with
+[ label_d k ⇒ f∘𝐮❨k❩
+| label_m   ⇒ f
+| label_L   ⇒ ⫯f
+| label_A   ⇒ f
+| label_S   ⇒ f
+].
+
+interpretation
+  "tailed preunwind (relocation map)"
+  'BlackRightTriangle f l = (preunwind2_rmap f l).
+
+(* Basic constructions ******************************************************)
+
+lemma preunwind2_rmap_d (f) (k:pnat):
+      f∘𝐮❨k❩ = ▶[f]𝗱k.
+// qed.
+
+lemma preunwind2_rmap_m (f):
+      f = ▶[f]𝗺.
+// qed.
+
+lemma preunwind2_rmap_L (f):
+      (⫯f) = ▶[f]𝗟.
+// qed.
+
+lemma preunwind2_rmap_A (f):
+      f = ▶[f]𝗔.
+// qed.
+
+lemma preunwind2_rmap_S (f):
+      f = ▶[f]𝗦.
+// qed.