update in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / unwind / unwind2_prototerm_constructors.ma

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_prototerm_constructors.ma b/matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_prototerm_constructors.ma
deleted file mode 100644 (file)
index 6e3c96f..0000000
--- a/matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_prototerm_constructors.ma
+++ /dev/null
@@ -1,62 +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_prototerm_eq.ma".
-include "delayed_updating/unwind/unwind2_path_append.ma".
-include "delayed_updating/syntax/prototerm_constructors.ma".
-
-(* TAILED UNWIND FOR PROTOTERM **********************************************)
-
-(* Constructions with constructors for prototerm ****************************)
-
-lemma unwind2_term_oref_pap (f) (k):
-      (⧣(f＠⧣❨k❩)) ⇔ ▼[f]⧣k.
-#f #k @conj #p *
-[ /2 width=1 by in_comp_unwind2_path_term/
-| #q * #H0 destruct //
-]
-qed.
-
-lemma unwind2_term_iref (f) (t) (k:pnat):
-      ▼[f∘𝐮❨k❩]t ⇔ ▼[f](𝛕k.t).
-#f #t #k @conj
-#p * #q #Hq #H0 destruct
-[ @(ex2_intro … (𝗱k◗𝗺◗q))
-  /2 width=1 by in_comp_iref_hd/
-| elim (in_comp_inv_iref … Hq) -Hq #p #Hp #Ht destruct
-  /2 width=1 by in_comp_unwind2_path_term/
-]
-qed.
-
-lemma unwind2_term_abst (f) (t):
-      (𝛌.▼[⫯f]t) ⇔ ▼[f]𝛌.t.
-#f #t @conj #p #Hp
-[ elim (in_comp_inv_abst … Hp) -Hp #q #H1 * #r #Hr #H2 destruct
-  /3 width=1 by in_comp_unwind2_path_term, in_comp_abst_hd/
-| elim Hp -Hp #q #Hq #H0 destruct
-  elim (in_comp_inv_abst … Hq) -Hq #r #H0 #Hr destruct
-  /3 width=1 by in_comp_unwind2_path_term, in_comp_abst_hd/
-]
-qed.
-
-lemma unwind2_term_appl (f) (v) (t):
-      ＠▼[f]v.▼[f]t ⇔ ▼[f]＠v.t.
-#f #v #t @conj #p #Hp
-[ elim (in_comp_inv_appl … Hp) -Hp * #q #H1 * #r #Hr #H2 destruct
-  /3 width=1 by in_comp_unwind2_path_term, in_comp_appl_sd, in_comp_appl_hd/
-| elim Hp -Hp #q #Hq #H0 destruct
-  elim (in_comp_inv_appl … Hq) -Hq * #r #H0 #Hr destruct
-  /3 width=1 by in_comp_unwind2_path_term, in_comp_appl_sd, in_comp_appl_hd/
-]
-qed.