update in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / unwind / unwind2_rmap_closed.ma

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_rmap_closed.ma b/matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_rmap_closed.ma
deleted file mode 100644 (file)
index f38a72a..0000000
--- a/matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_rmap_closed.ma
+++ /dev/null
@@ -1,101 +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_rmap_lift.ma".
-include "delayed_updating/unwind/unwind2_rmap_eq.ma".
-include "delayed_updating/substitution/lift_rmap_structure.ma".
-include "delayed_updating/syntax/path_closed.ma".
-include "delayed_updating/syntax/path_depth.ma".
-include "ground/relocation/nap.ma".
-include "ground/relocation/tr_pushs_tls.ma".
-include "ground/lib/stream_tls_plus.ma".
-include "ground/lib/stream_eq_eq.ma".
-
-(* TAILED UNWIND FOR RELOCATION MAP *****************************************)
-
-(* Destructions with cpp ****************************************************)
-
-lemma nap_plus_unwind2_rmap_closed (o) (e) (f) (q) (m) (n):
-      q ϵ 𝐂❨o,n,e❩ →
-      f＠§❨m+e❩+♭q = ▶[f]q＠§❨m+n❩.
-#o #e #f #q #m #n #Hq elim Hq -q -n //
-#q #n [ #k #_ ] #_ #IH
-[ <depth_d_dx <unwind2_rmap_d_dx
-  <tr_compose_nap <tr_uni_nap //
-| <depth_L_dx <unwind2_rmap_L_dx
-  <tr_nap_push <nplus_succ_dx //
-]
-qed-.
-
-lemma nap_unwind2_rmap_closed (o) (f) (q) (n):
-      q ϵ 𝐂❨o,n,𝟎❩ →
-      f＠§❨𝟎❩+♭q = ▶[f]q＠§❨n❩.
-#o #f #q #n #Hn
-/2 width=2 by nap_plus_unwind2_rmap_closed/
-qed-.
-
-lemma nap_plus_unwind2_rmap_append_closed_Lq_dx (o) (f) (p) (q) (m) (n):
-      q ϵ 𝐂❨o,n,𝟎❩ →
-      (⫯▶[f]p)＠§❨m❩+♭q = ▶[f](p●𝗟◗q)＠§❨m+n❩.
-#o #f #p #q #m #n #Hn
-/2 width=2 by nap_plus_unwind2_rmap_closed/
-qed-.
-
-lemma nap_unwind2_rmap_append_closed_Lq_dx (o) (f) (p) (q) (n):
-      q ϵ 𝐂❨o,n,𝟎❩ →
-      ♭q = ▶[f](p●𝗟◗q)＠§❨n❩.
-#o #f #p #q #n #Hn
->(nplus_zero_sn n)
-<(nap_plus_unwind2_rmap_append_closed_Lq_dx … Hn) -Hn
-<nplus_zero_sn //
-qed-.
-
-lemma tls_succ_plus_unwind2_rmap_push_closed (o) (f) (q) (n):
-      q ϵ 𝐂❨o,n,𝟎❩ →
-      ∀m. ⇂*[m]f ≗ ⇂*[↑(m+n)]▶[⫯f]q.
-#o #f #q #n #Hn elim Hn -q -n //
-#q #n #k #_ #_ #IH #m
-@(stream_eq_trans … (tls_unwind2_rmap_d_dx …))
->nrplus_inj_dx >nrplus_inj_sn >nsucc_unfold //
-qed-.
-
-lemma tls_succ_unwind2_rmap_push_closed (o) (f) (q) (n):
-      q ϵ 𝐂❨o,n,𝟎❩ →
-      f ≗ ⇂*[↑n]▶[⫯f]q.
-#o #f #q #n #Hn
-/2 width=2 by tls_succ_plus_unwind2_rmap_push_closed/
-qed-.
-
-lemma tls_succ_plus_unwind2_rmap_append_closed_Lq_dx (o) (f) (p) (q) (n):
-      q ϵ 𝐂❨o,n,𝟎❩ →
-      ∀m. ⇂*[m]▶[f]p ≗ ⇂*[↑(m+n)]▶[f](p●𝗟◗q).
-#o #f #p #q #n #Hn #m
-/2 width=2 by tls_succ_plus_unwind2_rmap_push_closed/
-qed-.
-
-lemma tls_succ_unwind2_rmap_closed (f) (q) (n):
-      q ϵ 𝐂❨Ⓕ,n,𝟎❩ →
-      ⇂f ≗ ⇂*[↑n]▶[f]q.
-#f #q #n #Hn
-@(stream_eq_canc_dx … (stream_tls_eq_repl …))
-[| @(unwind2_rmap_eq_repl … (tr_compose_id_dx …)) | skip ]
-@(stream_eq_trans … (stream_tls_eq_repl …))
-[| @(lift_unwind2_rmap_after … ) | skip ]
-<tr_compose_tls <tr_id_unfold
-@(stream_eq_trans … (tr_compose_eq_repl …))
-[| @(tls_succ_unwind2_rmap_push_closed … Hn) | skip | // | skip ]
-@(stream_eq_trans ????? (tr_compose_id_dx …))
-<tr_pap_succ_nap <(nap_unwind2_rmap_closed … Hn) <nplus_zero_sn
-<lift_rmap_structure <stream_tls_succ <tr_tls_pushs //
-qed-.