update in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / unwind_k / unwind2_rmap_eq.ma

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/unwind_k/unwind2_rmap_eq.ma b/matita/matita/contribs/lambdadelta/delayed_updating/unwind_k/unwind2_rmap_eq.ma
new file mode 100644 (file)
index 0000000..374a231
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/unwind_k/unwind2_rmap_eq.ma
@@ -0,0 +1,36 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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_k/unwind2_rmap.ma".
+include "delayed_updating/unwind_k/preunwind2_rmap_eq.ma".
+include "ground/relocation/tr_uni_compose.ma".
+include "ground/arith/nat_rplus_pplus.ma".
+
+(* TAILED UNWIND FOR RELOCATION MAP *****************************************)
+
+(* Constructions with tr_map_eq *********************************************)
+
+lemma unwind2_rmap_eq_repl (p):
+      stream_eq_repl … (λf1,f2. ▶[f1]p ≗ ▶[f2]p).
+#p elim p -p //
+#l #p #IH #f1 #f2 #Hf
+/3 width=1 by preunwind2_rmap_eq_repl/
+qed-.
+
+lemma tls_unwind2_rmap_d_dx (f) (p) (h) (k):
+      ⇂*[h+k]▶[f]p ≗ ⇂*[h]▶[f](p◖𝗱k).
+#f #p #h #k
+<unwind2_rmap_d_dx >nrplus_inj_dx
+/2 width=1 by tr_tls_compose_uni_dx/
+qed.