update in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / substitution / prelift_rmap.ma

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/substitution/prelift_rmap.ma b/matita/matita/contribs/lambdadelta/delayed_updating/substitution/prelift_rmap.ma
new file mode 100644 (file)
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@@ -0,0 +1,55 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/notation/functions/uparrow_2.ma".
+include "delayed_updating/syntax/label.ma".
+include "ground/relocation/tr_pn.ma".
+include "ground/lib/stream_tls.ma".
+
+(* PRELIFT FOR RELOCATION MAP ***********************************************)
+
+definition prelift_rmap (f) (l): tr_map ≝
+match l with
+[ label_d n ⇒ ⇂*[n]f
+| label_m   ⇒ f
+| label_L   ⇒ ⫯f
+| label_A   ⇒ f
+| label_S   ⇒ f
+].
+
+interpretation
+  "prelift (relocation map)"
+  'UpArrow l f = (prelift_rmap f l).
+
+(* Basic constructions ******************************************************)
+
+lemma prelift_rmap_d (f) (n:pnat):
+      ⇂*[n]f = ↑[𝗱n]f.
+// qed.
+
+lemma prelift_rmap_m (f):
+      f = ↑[𝗺]f.
+// qed.
+
+lemma prelift_rmap_L (f):
+      (⫯f) = ↑[𝗟]f.
+// qed.
+
+lemma prelift_rmap_A (f):
+      f = ↑[𝗔]f.
+// qed.
+
+lemma prelift_rmap_S (f):
+      f = ↑[𝗦]f.
+// qed.