X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fdelayed_updating%2Fetc%2Funwind1%2Funwind.etc;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fdelayed_updating%2Fetc%2Funwind1%2Funwind.etc;h=0000000000000000000000000000000000000000;hb=084fe5719d41ce13be068050fbade488d4a183ee;hp=3e76deececbcab166feec04a4f36727ca12f74be;hpb=61bc42e04598a9f5e489c3867af72e700c7fda04;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/etc/unwind1/unwind.etc b/matita/matita/contribs/lambdadelta/delayed_updating/etc/unwind1/unwind.etc
deleted file mode 100644
index 3e76deece..000000000
--- a/matita/matita/contribs/lambdadelta/delayed_updating/etc/unwind1/unwind.etc
+++ /dev/null
@@ -1,187 +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/relocation/tr_uni_pap.ma".
-include "delayed_updating/syntax/path.ma".
-include "delayed_updating/notation/functions/black_downtriangle_4.ma".
-include "delayed_updating/notation/functions/black_downtriangle_2.ma".
-
-(* UNWIND FOR PATH **********************************************************)
-
-definition unwind_continuation (A:Type[0]) ≝
-           tr_map → path → A.
-
-rec definition unwind_gen (A:Type[0]) (k:unwind_continuation A) (f) (p) on p ≝
-match p with
-[ list_empty     ⇒ k f (𝐞)
-| list_lcons l q ⇒
-  match l with
-  [ label_d n ⇒
-    match q with
-    [ list_empty     ⇒ unwind_gen (A) (λg,p. k g (𝗱(f＠⧣❨n❩)◗p)) (𝐮❨f＠⧣❨n❩❩) q
-    | list_lcons _ _ ⇒ unwind_gen (A) k (𝐮❨f＠⧣❨n❩❩) q
-    ]
-  | label_m   ⇒ unwind_gen (A) k f q
-  | label_L   ⇒ unwind_gen (A) (λg,p. k g (𝗟◗p)) (⫯f) q
-  | label_A   ⇒ unwind_gen (A) (λg,p. k g (𝗔◗p)) f q
-  | label_S   ⇒ unwind_gen (A) (λg,p. k g (𝗦◗p)) f q
-  ]
-].
-
-interpretation
-  "unwind (gneric)"
-  'BlackDownTriangle A k f p = (unwind_gen A k f p).
-
-definition proj_path: unwind_continuation … ≝
-           λf,p.p.
-
-definition proj_rmap: unwind_continuation … ≝
-           λf,p.f.
-
-interpretation
-  "unwind (path)"
-  'BlackDownTriangle f p = (unwind_gen ? proj_path f p).
-
-interpretation
-  "unwind (relocation map)"
-  'BlackDownTriangle p f = (unwind_gen ? proj_rmap f p).
-
-(* Basic constructions ******************************************************)
-
-lemma unwind_empty (A) (k) (f):
-      k f (𝐞) = ▼{A}❨k, f, 𝐞❩.
-// qed.
-
-lemma unwind_d_empty (A) (k) (n) (f):
-      ▼❨(λg,p. k g (𝗱(f＠⧣❨n❩)◗p)), 𝐮❨f＠⧣❨n❩❩, 𝐞❩ = ▼{A}❨k, f, 𝗱n◗𝐞❩.
-// qed.
-
-lemma unwind_d_lcons (A) (k) (p) (l) (n) (f):
-      ▼❨k, 𝐮❨f＠⧣❨n❩❩, l◗p❩ = ▼{A}❨k, f, 𝗱n◗l◗p❩.
-// qed.
-
-lemma unwind_m_sn (A) (k) (p) (f):
-      ▼❨k, f, p❩ = ▼{A}❨k, f, 𝗺◗p❩.
-// qed.
-
-lemma unwind_L_sn (A) (k) (p) (f):
-      ▼❨(λg,p. k g (𝗟◗p)), ⫯f, p❩ = ▼{A}❨k, f, 𝗟◗p❩.
-// qed.
-
-lemma unwind_A_sn (A) (k) (p) (f):
-      ▼❨(λg,p. k g (𝗔◗p)), f, p❩ = ▼{A}❨k, f, 𝗔◗p❩.
-// qed.
-
-lemma unwind_S_sn (A) (k) (p) (f):
-      ▼❨(λg,p. k g (𝗦◗p)), f, p❩ = ▼{A}❨k, f, 𝗦◗p❩.
-// qed.
-
-(* Basic constructions with proj_path ***************************************)
-
-lemma unwind_path_empty (f):
-      (𝐞) = ▼[f]𝐞.
-// qed.
-
-lemma unwind_path_d_empty (f) (n):
-      𝗱(f＠⧣❨n❩)◗𝐞 = ▼[f](𝗱n◗𝐞).
-// qed.
-
-lemma unwind_path_d_lcons (f) (p) (l) (n):
-      ▼[𝐮❨f＠⧣❨n❩❩](l◗p) = ▼[f](𝗱n◗l◗p).
-// qed.
-
-lemma unwind_path_m_sn (f) (p):
-      ▼[f]p = ▼[f](𝗺◗p).
-// qed.
-
-(* Basic constructions with proj_rmap ***************************************)
-
-lemma unwind_rmap_empty (f):
-      f = ▼[𝐞]f.
-// qed.
-
-lemma unwind_rmap_d_sn (f) (p) (n):
-      ▼[p](𝐮❨f＠⧣❨n❩❩) = ▼[𝗱n◗p]f.
-#f * // qed.
-
-lemma unwind_rmap_m_sn (f) (p):
-      ▼[p]f = ▼[𝗺◗p]f.
-// qed.
-
-lemma unwind_rmap_L_sn (f) (p):
-      ▼[p](⫯f) = ▼[𝗟◗p]f.
-// qed.
-
-lemma unwind_rmap_A_sn (f) (p):
-      ▼[p]f = ▼[𝗔◗p]f.
-// qed.
-
-lemma unwind_rmap_S_sn (f) (p):
-      ▼[p]f = ▼[𝗦◗p]f.
-// qed.
-
-(* Advanced constructions with proj_rmap and path_append ********************)
-
-lemma unwind_rmap_append (p2) (p1) (f):
-      ▼[p2]▼[p1]f = ▼[p1●p2]f.
-#p2 #p1 elim p1 -p1 // * [ #n ] #p1 #IH #f //
-[ <unwind_rmap_m_sn <unwind_rmap_m_sn //
-| <unwind_rmap_A_sn <unwind_rmap_A_sn //
-| <unwind_rmap_S_sn <unwind_rmap_S_sn //
-]
-qed.
-
-(* Advanced constructions with proj_rmap and path_rcons *********************)
-
-lemma unwind_rmap_d_dx (f) (p) (n):
-      (𝐮❨(▼[p]f)＠⧣❨n❩❩) = ▼[p◖𝗱n]f.
-// qed.
-
-lemma unwind_rmap_m_dx (f) (p):
-      ▼[p]f = ▼[p◖𝗺]f.
-// qed.
-
-lemma unwind_rmap_L_dx (f) (p):
-      (⫯▼[p]f) = ▼[p◖𝗟]f.
-// qed.
-
-lemma unwind_rmap_A_dx (f) (p):
-      ▼[p]f = ▼[p◖𝗔]f.
-// qed.
-
-lemma unwind_rmap_S_dx (f) (p):
-      ▼[p]f = ▼[p◖𝗦]f.
-// qed.
-
-lemma unwind_rmap_pap_d_dx (f) (p) (n) (m):
-      ▼[p]f＠⧣❨n❩+m = ▼[p◖𝗱n]f＠⧣❨m❩.
-#f #p #n #m
-<unwind_rmap_d_dx <tr_uni_pap <pplus_comm //
-qed.
-
-(* Advanced eliminations with path ******************************************)
-
-lemma path_ind_unwind (Q:predicate …):
-      Q (𝐞) →
-      (∀n. Q (𝐞) → Q (𝗱n◗𝐞)) →
-      (∀n,l,p. Q (l◗p) → Q (𝗱n◗l◗p)) →
-      (∀p. Q p → Q (𝗺◗p)) →
-      (∀p. Q p → Q (𝗟◗p)) →
-      (∀p. Q p → Q (𝗔◗p)) →
-      (∀p. Q p → Q (𝗦◗p)) →
-      ∀p. Q p.
-#Q #IH1 #IH2 #IH3 #IH4 #IH5 #IH6 #IH7 #p
-elim p -p [| * [ #n * ] ]
-/2 width=1 by/
-qed-.