update in ground and delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / unwind / unwind2_rmap_unprotected.ma

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_rmap_unprotected.ma b/matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_rmap_unprotected.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/unwind/unwind2_rmap_closed.ma".
+include "delayed_updating/syntax/path_balanced.ma".
+include "delayed_updating/syntax/path_structure.ma".
+
+(* TAILED UNWIND FOR RELOCATION MAP *****************************************)
+
+(* Example of unprotected balanced path *************************************)
+
+definition b: path ≝ 𝐞◖𝗔◖𝗟◖𝗱𝟏.
+
+lemma b_unfold: 𝐞◖𝗔◖𝗟◖𝗱𝟏 = b.
+// qed.
+
+lemma b_balanced: ⊗b ϵ 𝐁.
+<b_unfold <structure_d_dx
+/2 width=1 by pbc_empty, pbc_redex/
+qed.
+
+lemma b_closed: b ϵ 𝐂❨𝟎❩.
+/4 width=1 by pcc_A_sn, pcc_empty, pcc_d_dx, pcc_L_dx/
+qed.
+
+lemma b_unwind2_rmap_unfold (f):
+      (⫯f)∘𝐮❨𝟏❩ = ▶[f]b.
+// qed.
+
+lemma b_unwind2_rmap_pap_unit (f):
+      ↑(f＠⧣❨𝟏❩) = ▶[f]b＠⧣❨𝟏❩.
+// qed.