update in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / unwind_k / unwind2_path_eq.ma

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/unwind_k/unwind2_path_eq.ma b/matita/matita/contribs/lambdadelta/delayed_updating/unwind_k/unwind2_path_eq.ma
new file mode 100644 (file)
index 0000000..fb44a3f
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/unwind_k/unwind2_path_eq.ma
@@ -0,0 +1,29 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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_path.ma".
+include "delayed_updating/unwind_k/unwind2_rmap_eq.ma".
+
+(* TAILED UNWIND FOR PATH ***************************************************)
+
+(* Constructions with tr_map_eq *********************************************)
+
+lemma unwind2_path_eq_repl (p):
+      stream_eq_repl … (λf1,f2. ▼[f1]p = ▼[f2]p).
+* // * [ #k ] #p #f1 #f2 #Hf //
+<unwind2_path_d_dx <unwind2_path_d_dx
+lapply (unwind2_rmap_eq_repl … Hf) -Hf
+[| #Hf <(tr_pap_eq_repl … Hf) -f2 ] //
+qed-.
+