update in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / unwind / unwind2_preterm_eq.ma

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_preterm_eq.ma b/matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_preterm_eq.ma
deleted file mode 100644 (file)
index a78d4b9..0000000
--- a/matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_preterm_eq.ma
+++ /dev/null
@@ -1,67 +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.ma".
-include "delayed_updating/unwind/unwind2_path_append.ma".
-include "delayed_updating/syntax/preterm.ma".
-include "delayed_updating/syntax/path_structure_inner.ma".
-include "ground/lib/subset_equivalence.ma".
-
-(* TAILED UNWIND FOR PRETERM ************************************************)
-
-(* Constructions with subset_equivalence ************************************)
-
-lemma unwind2_term_grafted_sn (f) (t) (p): p ϵ 𝐈 →
-      ▼[▶[f]p](t⋔p) ⊆ (▼[f]t)⋔(⊗p).
-#f #t #p #Hp #q * #r #Hr #H0 destruct
-@(ex2_intro … Hr) -Hr
-<unwind2_path_append_pic_sn //
-qed-.
-
-lemma unwind2_term_grafted_dx (f) (t) (p): p ϵ 𝐈 → p ϵ ▵t → t ϵ 𝐓 →
-      (▼[f]t)⋔(⊗p) ⊆ ▼[▶[f]p](t⋔p).
-#f #t #p #H1p #H2p #Ht #q * #r #Hr #H0
-elim (unwind2_path_des_append_pic_sn … (sym_eq … H0)) -H0 //
-#p0 #q0 #Hp0 #Hq0 #H0 destruct
->(Ht … Hp0) [|*: /2 width=2 by ex_intro/ ] -p
-/2 width=1 by in_comp_unwind2_path_term/
-qed-.
-
-lemma unwind2_term_grafted (f) (t) (p): p ϵ 𝐈 → p ϵ ▵t → t ϵ 𝐓 →
-      ▼[▶[f]p](t⋔p) ⇔ (▼[f]t)⋔(⊗p).
-/3 width=1 by unwind2_term_grafted_sn, unwind2_term_grafted_dx, conj/ qed.
-
-lemma unwind2_term_grafted_S_dx (f) (t) (p): p ϵ ▵t → t ϵ 𝐓 →
-      (▼[f]t)⋔((⊗p)◖𝗦) ⊆ ▼[▶[f]p](t⋔(p◖𝗦)).
-#f #t #p #Hp #Ht #q * #r #Hr
->list_append_rcons_sn #H0
-elim (unwind2_path_inv_append_ppc_dx … (sym_eq … H0)) -H0 //
-#p0 #q0 #Hp0 #Hq0 #H0 destruct
->(Ht … Hp0) [|*: /2 width=2 by ex_intro/ ] -p
-elim (eq_inv_S_sn_unwind2_path … Hq0) -Hq0
-#r1 #r2 #Hr1 #Hr2 #H0 destruct
-lapply (preterm_in_root_append_inv_structure_empty_dx … p0 … Ht Hr1)
-[ /2 width=2 by ex_intro/ ] -Hr1 #Hr1 destruct
-/2 width=1 by in_comp_unwind2_path_term/
-qed-.
-
-lemma unwind2_term_grafted_S (f) (t) (p): p ϵ ▵t → t ϵ 𝐓 →
-      ▼[▶[f]p](t⋔(p◖𝗦)) ⇔ (▼[f]t)⋔((⊗p)◖𝗦).
-#f #t #p #Hp #Ht
-@conj
-[ >unwind2_rmap_S_dx >structure_S_dx
-  @unwind2_term_grafted_sn // (**) (* auto fails *)
-| /2 width=1 by unwind2_term_grafted_S_dx/
-]
-qed.