update in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / syntax / path_closed_guard.ma

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/syntax/path_closed_guard.ma b/matita/matita/contribs/lambdadelta/delayed_updating/syntax/path_closed_guard.ma
deleted file mode 100644 (file)
index af57be3..0000000
--- a/matita/matita/contribs/lambdadelta/delayed_updating/syntax/path_closed_guard.ma
+++ /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/syntax/path_closed.ma".
-include "delayed_updating/syntax/path_guard.ma".
-
-(* CLOSED CONDITION FOR PATH ************************************************)
-
-axiom list_ind_pippo (A) (Q:predicate …):
-      (∀l. (∀m. (∃p. p⨁{A}m = l) → Q m) → Q l) → ∀l. Q l.
-
-(* Destructions with pgc ****************************************************)
-
-lemma path_closed_des_guard (x) (n):
-      x ϵ 𝐂❨Ⓕ,n❩ →
-      ∃∃p,q. p ϵ 𝐆 & q ϵ 𝐂❨Ⓕ,𝟎❩ & p●q = x.
-#x @(list_ind_pippo … x) -x
-#x #IH #n #H0 @(insert_eq_1 … x … H0) -H0
-#y * -y -n
-[|*: #y #n [ #k #_ ] #Hy ] #H0 destruct
-[ /2 width=5 by pgc_empty, pcc_empty, ex3_2_intro/
-| elim (pcc_false_inv_append_bi … Hy) -Hy #r #s #Hr #Hs #H0 destruct
-  elim (IH … Hr) -IH -Hr [| /2 width=2 by ex_intro/ ]
-  #p #q #Hp #Hq #H0 destruct
-  @(ex3_2_intro … Hp) -Hp [1,3: // ]
-  /3 width=2 by pcc_append_bi, pcc_false_d_dx/
-| elim (IH … Hy) -IH -Hy [| /2 width=2 by ex_intro/ ]
-  #p #q #Hp #Hq #H0 destruct
-  /3 width=5 by pcc_m_dx, ex3_2_intro/
-| @(ex3_2_intro … (y◖𝗟) (𝐞)) //
-| elim (IH … Hy) -IH -Hy [| /2 width=2 by ex_intro/ ]
-  #p #q #Hp #Hq #H0 destruct
-  /3 width=5 by pcc_A_dx, ex3_2_intro/
-| elim (IH … Hy) -IH -Hy [| /2 width=2 by ex_intro/ ]
-  #p #q #Hp #Hq #H0 destruct
-  /3 width=5 by pcc_S_dx, ex3_2_intro/
-]
-qed-.