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[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / etc / unwind3 / unwind_constructors.etc
diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/etc/unwind3/unwind_constructors.etc b/matita/matita/contribs/lambdadelta/delayed_updating/etc/unwind3/unwind_constructors.etc
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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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/unwind3/unwind_prototerm_eq.ma".
-include "delayed_updating/syntax/prototerm_constructors.ma".
-include "delayed_updating/relocation/sbr_push_uni.ma".
-
-(* UNWIND FOR PROTOTERM *****************************************************)
-
-(* Constructions with constructors for prototerm ****************************)
-
-lemma unwind_iref_sn (f) (t:prototerm) (n:pnat):
-      ▼[f❘@❨n❩⫯❘f]t ⊆ ▼[f](𝛗n.t).
-#f #t #n #p * #q #Hq #H0 destruct
-@(ex2_intro … (𝗱n◗𝗺◗q))
-/2 width=1 by in_comp_iref/
-qed-.
-
-lemma unwind_iref_dx (f) (t) (n:pnat):
-      ▼[f](𝛗n.t) ⊆ ▼[f❘@❨n❩⫯❘f]t.
-#f #t #n #p * #q #Hq #H0 destruct
-elim (in_comp_inv_iref … Hq) -Hq #p #Hp #Ht destruct
-/2 width=1 by in_comp_unwind_bi/
-qed-.
-
-lemma unwind_iref (f) (t) (n:pnat):
-      ▼[f❘@❨n❩⫯❘f]t ⇔ ▼[f](𝛗n.t).
-/3 width=1 by conj, unwind_iref_sn, unwind_iref_dx/
-qed.
-
-lemma unwind_iref_id (t) (n:pnat):
-      ▼[𝐮❨n❩]t ⇔ ▼[𝐢](𝛗n.t).
-// qed.