update in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / unwind / unwind2_rmap_depth.ma

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_rmap_depth.ma b/matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_rmap_depth.ma
deleted file mode 100644 (file)
index cb80667..0000000
--- a/matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_rmap_depth.ma
+++ /dev/null
@@ -1,58 +0,0 @@
-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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_path_append.ma".
-include "delayed_updating/syntax/path_depth.ma".
-include "ground/relocation/tr_id_compose.ma".
-include "ground/relocation/tr_compose_compose.ma".
-include "ground/relocation/tr_compose_eq.ma".
-include "ground/relocation/xap.ma".
-include "ground/lib/stream_eq_eq.ma".
-
-(* TAILED UNWIND FOR RELOCATION MAP *****************************************)
-
-(* Constructions with depth *************************************************)
-
-lemma unwind2_rmap_decompose (p) (f):
-      ▶[f]p ≗ (⫯*[♭p]f)∘(▶[𝐢]p).
-#p elim p -p
-[ #f <unwind2_rmap_empty <unwind2_rmap_empty <tr_pushs_zero //
-| * [ #k ] #p #IH #f //
-  [ <unwind2_rmap_d_dx <unwind2_rmap_d_dx <depth_d_dx
-    @(stream_eq_trans … (tr_compose_assoc …))
-    /2 width=1 by tr_compose_eq_repl/
-  | <unwind2_rmap_L_dx <unwind2_rmap_L_dx <depth_L_dx
-    <tr_pushs_succ <tr_compose_push_bi
-    /2 width=1 by tr_push_eq_repl/
-  ]
-]
-qed.
-
-lemma unwind2_rmap_pap_le (f) (p) (h):
-      ▶[𝐢]p＠⧣❨h❩ < ↑♭p → ▶[𝐢]p＠⧣❨h❩ = ▶[f]p＠⧣❨h❩.
-#f #p #h #Hh
->(tr_pap_eq_repl … (▶[f]p) … (unwind2_rmap_decompose …))
-<tr_compose_pap <tr_pap_pushs_le //
-qed.
-
-lemma unwind2_rmap_xap_le (f) (p) (n):
-      ▶[𝐢]p＠❨n❩ ≤ ♭p → ▶[𝐢]p＠❨n❩ = ▶[f]p＠❨n❩.
-(*
-#f #p * // #h <tr_xap_ninj #Hh
->unwind2_rmap_pap_le
-*)
-#f #p #n #Hn
->(tr_xap_eq_repl … (▶[f]p) … (unwind2_rmap_decompose …))
-<tr_compose_xap <tr_xap_pushs_le //
-qed-.