X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fdelayed_updating%2Freduction%2Fifr_unwind.ma;h=13f6f3fa00dacfd3f309c42d7244165063cc239a;hb=74223db3fc45caccb3cfac80971b29cb0613da28;hp=f05d86db3078678331cd649e9abe405996c383b1;hpb=a4cacf8e269910184348a037106551dbc8a46fd4;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr_unwind.ma b/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr_unwind.ma
index f05d86db3..13f6f3fa0 100644
--- a/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr_unwind.ma
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/reduction/ifr_unwind.ma
@@ -14,15 +14,15 @@
 
 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_inner.ma".
+include "delayed_updating/unwind/unwind2_prototerm_lift.ma".
 include "delayed_updating/unwind/unwind2_rmap_head.ma".
 
 include "delayed_updating/substitution/fsubst_eq.ma".
+include "delayed_updating/substitution/lift_prototerm_proper.ma".
+include "delayed_updating/substitution/lift_prototerm_eq.ma".
 
-include "delayed_updating/syntax/prototerm_proper_inner.ma".
 include "delayed_updating/syntax/path_head_structure.ma".
 include "delayed_updating/syntax/path_structure_depth.ma".
 include "delayed_updating/syntax/path_structure_reverse.ma".
@@ -33,7 +33,7 @@ include "delayed_updating/syntax/path_depth_reverse.ma".
 (* Constructions with unwind ************************************************)
 
 lemma ifr_unwind_bi (f) (p) (q) (t1) (t2):
-      t1 ϵ 𝐓 → t1⋔(p◖𝗦) ⧸≬ 𝐈 →
+      t1 ϵ 𝐓 → t1⋔(p◖𝗦) ϵ 𝐏 →
       t1 ➡𝐢𝐟[p,q] t2 → ▼[f]t1 ➡𝐢𝐟[⊗p,⊗q] ▼[f]t2.
 #f #p #q #t1 #t2 #H1t1 #H2t1
 * #n * #H1n #Ht1 #Ht2
@@ -51,10 +51,10 @@ lemma ifr_unwind_bi (f) (p) (q) (t1) (t2):
   @(subset_eq_trans … Ht2) -t2
   @(subset_eq_trans … (unwind2_term_fsubst …))
   [ @fsubst_eq_repl [ // | // ]
-    @(subset_eq_canc_dx … (unwind2_term_after …))
-    @(subset_eq_canc_sn … (unwind2_term_eq_repl_dx …))
+    @(subset_eq_canc_sn … (lift_term_eq_repl_dx …))
     [ @unwind2_term_grafted_S /2 width=2 by ex_intro/ | skip ] -Ht1
-    @(subset_eq_trans … (unwind2_term_after …))
+    @(subset_eq_trans … (lift_unwind2_term_after …))
+    @(subset_eq_canc_dx … (unwind2_term_after_lift …))
     @unwind2_term_eq_repl_sn
 (* Note: crux of the proof begins *)
     @nstream_eq_inv_ext #m
@@ -68,8 +68,7 @@ lemma ifr_unwind_bi (f) (p) (q) (t1) (t2):
 (* Note: crux of the proof ends *)
   | //
   | /2 width=2 by ex_intro/
-  | @term_proper_outer #H0 (**) (* full auto does not work *)
-    /3 width=2 by unwind2_term_des_inner/
+  | /2 width=6 by lift_term_proper/
   ]
 ]
 qed.