update in delayed_updating

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

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/reduction/dbfr_ibfr.ma b/matita/matita/contribs/lambdadelta/delayed_updating/reduction/dbfr_ibfr.ma
index eee619916365c16cbad2af6094e405dd46e5c6fc..48b6d1dfdcfc4d471fa5103a68ef42227721a04a 100644 (file)
--- a/matita/matita/contribs/lambdadelta/delayed_updating/reduction/dbfr_ibfr.ma
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/reduction/dbfr_ibfr.ma
@@ -15,11 +15,11 @@
 include "delayed_updating/reduction/dbfr.ma".
 include "delayed_updating/reduction/ibfr.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/unwind_k/unwind2_prototerm_constructors.ma".
+include "delayed_updating/unwind_k/unwind2_preterm_fsubst.ma".
+include "delayed_updating/unwind_k/unwind2_preterm_eq.ma".
+include "delayed_updating/unwind_k/unwind2_prototerm_lift.ma".
+include "delayed_updating/unwind_k/unwind2_rmap_crux.ma".
 
 include "delayed_updating/substitution/fsubst_eq.ma".
 include "delayed_updating/substitution/lift_prototerm_eq.ma".
@@ -45,7 +45,7 @@ theorem dbfr_des_ibfr (f) (t1) (t2) (r): t1 ϵ 𝐓 →
   /2 width=2 by path_closed_structure_depth/
 | lapply (in_comp_unwind2_path_term f … Ht1) -H0t1 -Hb -Hm -Ht2 -Ht1
   <unwind2_path_d_dx <tr_pap_succ_nap >list_append_rcons_dx >list_append_assoc
-  <nap_unwind2_rmap_append_closed_Lq_dx_depth //
+  <nap_unwind2_rmap_append_closed_Lq_dx //
 | lapply (unwind2_term_eq_repl_dx f … Ht2) -Ht2 #Ht2
   @(subset_eq_trans … Ht2) -t2
   @(subset_eq_trans … (unwind2_term_fsubst_ppc …))
@@ -56,17 +56,11 @@ theorem dbfr_des_ibfr (f) (t1) (t2) (r): t1 ϵ 𝐓 →
     @(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_plus_unwind2_rmap_append_closed_bLq_dx_depth //
-    | >unwind2_rmap_A_dx
-      /2 width=2 by tls_succ_plus_unwind2_rmap_append_closed_bLq_dx/
-    ]
+    /2 width=1 by unwind2_rmap_uni_crux/
 (* Note: crux of the proof ends *)
   | //
   | /2 width=2 by ex_intro/
   | //
   ]
 ]
-qed.
+qed-.