update in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / etc / height / path_height.etc

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/etc/height/path_height.etc b/matita/matita/contribs/lambdadelta/delayed_updating/etc/height/path_height.etc
deleted file mode 100644 (file)
index 934df56..0000000
--- a/matita/matita/contribs/lambdadelta/delayed_updating/etc/height/path_height.etc
+++ /dev/null
@@ -1,97 +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 "ground/arith/nat_plus.ma".
-include "delayed_updating/syntax/path.ma".
-include "delayed_updating/notation/functions/sharp_1.ma".
-
-(* HEIGHT FOR PATH **********************************************************)
-
-rec definition height (p) on p: nat ≝
-match p with
-[ list_empty     ⇒ 𝟎
-| list_lcons l q ⇒
-  match l with
-  [ label_d k ⇒ height q + k
-  | label_m   ⇒ height q
-  | label_L   ⇒ height q
-  | label_A   ⇒ height q
-  | label_S   ⇒ height q
-  ]
-].
-
-interpretation
-  "height (path)"
-  'Sharp p = (height p).
-
-(* Basic constructions ******************************************************)
-
-lemma height_empty: 𝟎 = ♯𝐞.
-// qed.
-
-lemma height_d_dx (p) (k:pnat):
-      (♯p)+k = ♯(p◖𝗱k).
-// qed.
-
-lemma height_m_dx (p):
-      (♯p) = ♯(p◖𝗺).
-// qed.
-
-lemma height_L_dx (p):
-      (♯p) = ♯(p◖𝗟).
-// qed.
-
-lemma height_A_dx (p):
-      (♯p) = ♯(p◖𝗔).
-// qed.
-
-lemma height_S_dx (p):
-      (♯p) = ♯(p◖𝗦).
-// qed.
-
-(* Main constructions *******************************************************)
-
-theorem height_append (p) (q):
-        (♯p+♯q) = ♯(p●q).
-#p #q elim q -q //
-* [ #k ] #q #IH <list_append_lcons_sn
-[ <height_d_dx <height_d_dx //
-| <height_m_dx <height_m_dx //
-| <height_L_dx <height_L_dx //
-| <height_A_dx <height_A_dx //
-| <height_S_dx <height_S_dx //
-]
-qed.
-
-(* Constructions with path_lcons ********************************************)
-
-lemma height_d_sn (p) (k:pnat):
-      k+♯p = ♯(𝗱k◗p).
-// qed.
-
-lemma height_m_sn (p):
-      ♯p = ♯(𝗺◗p).
-// qed.
-
-lemma height_L_sn (p):
-      ♯p = ♯(𝗟◗p).
-// qed.
-
-lemma height_A_sn (p):
-      ♯p = ♯(𝗔◗p).
-// qed.
-
-lemma height_S_sn (p):
-      ♯p = ♯(𝗦◗p).
-// qed.