update in delayed_updating

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

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/reduction/dfr_ifr.ma b/matita/matita/contribs/lambdadelta/delayed_updating/reduction/dfr_ifr.ma
deleted file mode 100644 (file)
index 1cb62ed..0000000
--- a/matita/matita/contribs/lambdadelta/delayed_updating/reduction/dfr_ifr.ma
+++ /dev/null
@@ -1,68 +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/dfr.ma".
-include "delayed_updating/reduction/ifr.ma".
-
-include "delayed_updating/unwind/unwind2_constructors.ma".
-include "delayed_updating/unwind/unwind2_preterm_fsubst.ma".
-include "delayed_updating/unwind/unwind2_preterm_eq.ma".
-include "delayed_updating/unwind/unwind2_prototerm_lift.ma".
-include "delayed_updating/unwind/unwind2_rmap_closed.ma".
-
-include "delayed_updating/substitution/fsubst_eq.ma".
-include "delayed_updating/substitution/lift_prototerm_eq.ma".
-
-include "delayed_updating/syntax/prototerm_proper_constructors.ma".
-include "delayed_updating/syntax/path_closed_structure.ma".
-include "delayed_updating/syntax/path_structure_depth.ma".
-
-(* DELAYED FOCUSED REDUCTION ************************************************)
-
-(* Main destructions with ifr ***********************************************)
-
-theorem dfr_des_ifr (f) (t1) (t2) (r): t1 ϵ 𝐓 →
-        t1 ➡𝐝𝐟[r] t2 → ▼[f]t1 ➡𝐢𝐟[⊗r] ▼[f]t2.
-#f #t1 #t2 #r #H0t1
-* #p #q #n #Hr #Hn #Ht1 #Ht2 destruct
-@(ex4_3_intro … (⊗p) (⊗q) (♭q))
-[ -H0t1 -Hn -Ht1 -Ht2 //
-| -H0t1 -Ht1 -Ht2
-  /2 width=2 by path_closed_structure_depth/
-| lapply (in_comp_unwind2_path_term f … Ht1) -Ht2 -Ht1 -H0t1
-  <unwind2_path_d_dx <tr_pap_succ_nap <list_append_rcons_sn
-  <nap_unwind2_rmap_append_closed_Lq_dx_depth //
-| lapply (unwind2_term_eq_repl_dx f … Ht2) -Ht2 #Ht2
-  @(subset_eq_trans … Ht2) -t2
-  @(subset_eq_trans … (unwind2_term_fsubst_ppc …))
-  [ @fsubst_eq_repl [ // | // ]
-    @(subset_eq_trans … (unwind2_term_iref…))
-    @(subset_eq_canc_sn … (lift_term_eq_repl_dx …))
-    [ @unwind2_term_grafted_S /2 width=2 by ex_intro/ | skip ] -Ht1
-    @(subset_eq_trans … (lift_unwind2_term_after …))
-    @unwind2_term_eq_repl_sn
-(* Note: crux of the proof begins *)
-    <list_append_rcons_sn
-    @(stream_eq_trans … (tr_compose_uni_dx_pap …)) <tr_pap_succ_nap
-    @tr_compose_eq_repl
-    [ <nap_unwind2_rmap_append_closed_Lq_dx_depth //
-    | /2 width=2 by tls_succ_unwind2_rmap_append_closed_Lq_dx/
-    ]
-(* Note: crux of the proof ends *)
-  | //
-  | /2 width=2 by ex_intro/
-  | //
-  ]
-]
-qed.