update in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / etc / unwind1 / unwind_depth.etc

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/etc/unwind1/unwind_depth.etc b/matita/matita/contribs/lambdadelta/delayed_updating/etc/unwind1/unwind_depth.etc
deleted file mode 100644 (file)
index 05e2d52..0000000
--- a/matita/matita/contribs/lambdadelta/delayed_updating/etc/unwind1/unwind_depth.etc
+++ /dev/null
@@ -1,49 +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/unwind1/unwind.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_pn.ma".
-include "ground/relocation/tr_compose_eq.ma".
-include "ground/relocation/tr_pn_eq.ma".
-include "ground/lib/stream_eq_eq.ma".
-
-(* UNWIND FOR PATH *********************************************************)
-(* COMMENT
-(* Constructions with depth ************************************************)
-
-lemma unwind_rmap_decompose (p) (f):
-      ▼[p]f ≗ (▼[p]𝐢)∘(⫯*[❘p❘]f).
-#p @(list_ind_rcons … p) -p
-[ #f <unwind_rmap_empty <unwind_rmap_empty <tr_pushs_zero //
-| #p * [ #n ] #IH #f //
-  [ <unwind_rmap_d_dx <unwind_rmap_d_dx <depth_d_dx
-    @(stream_eq_canc_dx … (tr_compose_assoc …))
-    /2 width=1 by tr_compose_eq_repl/
-  | <unwind_rmap_L_dx <unwind_rmap_L_dx <depth_L_dx
-    <tr_pushs_succ <tr_compose_push_bi
-    /2 width=1 by tr_push_eq_repl/
-  ]
-]
-qed.
-
-lemma unwind_rmap_pap_le (f) (p) (n):
-      n < ▼❘p❘ → (▼[p]𝐢)＠⧣❨n❩ = (▼[p]f)＠⧣❨n❩.
-#f #p #n #Hn
->(tr_pap_eq_repl … (▼[p]f) … (unwind_rmap_decompose …))
-<tr_compose_pap <tr_pap_pushs_le //
-qed.
-*)