update in delayed_updating

[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / reduction / ifr_lift.ma

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr_lift.ma b/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr_lift.ma
deleted file mode 100644 (file)
index cd597c2..0000000
--- a/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr_lift.ma
+++ /dev/null
@@ -1,55 +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/reduction/ifr.ma".
-
-include "delayed_updating/substitution/fsubst_lift.ma".
-include "delayed_updating/substitution/fsubst_eq.ma".
-include "delayed_updating/substitution/lift_prototerm_after.ma".
-include "delayed_updating/substitution/lift_path_closed.ma".
-include "delayed_updating/substitution/lift_rmap_closed.ma".
-
-include "ground/relocation/tr_uni_compose.ma".
-include "ground/relocation/tr_compose_eq.ma".
-
-(* IMMEDIATE FOCUSED REDUCTION **********************************************)
-
-(* Constructions with lift **************************************************)
-
-theorem ifr_lift_bi (f) (t1) (t2) (r):
-        t1 ➡𝐢𝐟[r] t2 → 🠡[f]t1 ➡𝐢𝐟[🠡[f]r] 🠡[f]t2.
-#f #t1 #t2 #r
-* #p #q #n #Hr #Hn #Ht1 #Ht2 destruct
-@(ex4_3_intro … (🠡[f]p) (🠡[🠢[f](p◖𝗔◖𝗟)]q) (🠢[f](p●𝗔◗𝗟◗q)＠§❨n❩))
-[ -Hn -Ht1 -Ht2 //
-| -Ht1 -Ht2
-  /2 width=1 by lift_path_rmap_closed_L/
-| lapply (in_comp_lift_path_term f … Ht1) -Ht2 -Ht1 -Hn
-  <lift_path_d_dx #Ht1 //
-| lapply (lift_term_eq_repl_dx f … Ht2) -Ht2 #Ht2 -Ht1
-  @(subset_eq_trans … Ht2) -t2
-  @(subset_eq_trans … (lift_term_fsubst …))
-  @fsubst_eq_repl [ // | <lift_path_append // ]
-  @(subset_eq_canc_sn … (lift_term_eq_repl_dx …))
-  [ @lift_term_grafted_S | skip ]
-  @(subset_eq_trans … (lift_term_after …))
-  @(subset_eq_canc_dx … (lift_term_after …))
-  @lift_term_eq_repl_sn
-(* Note: crux of the proof begins *)
-  @(stream_eq_trans … (tr_compose_uni_dx_pap …)) <tr_pap_succ_nap
-  @tr_compose_eq_repl // >nsucc_unfold
-  /2 width=2 by tls_succ_lift_rmap_append_closed_Lq_dx/
-(* Note: crux of the proof ends *)
-]
-qed.