]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/delayed_updating/reduction/dfr_ifr.ma
update in delayed_updating
[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / reduction / dfr_ifr.ma
index c555072f6558176f3d9d046ffb611e37fcf778c0..66affad942c81c415daa75900c7e097c45c87155 100644 (file)
@@ -15,6 +15,8 @@
 include "delayed_updating/reduction/dfr.ma".
 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_constructors.ma". 
 include "delayed_updating/substitution/lift_structure_depth.ma".
 include "delayed_updating/syntax/prototerm_proper_constructors.ma".
 include "delayed_updating/syntax/path_structure_depth.ma".
@@ -31,11 +33,13 @@ lemma dfr_lift_bi (f) (p) (q) (t1) (t2): t1 ϵ 𝐓 →
 | #g <lift_rmap_structure <depth_structure
   >tr_pushs_swap <tr_pap_pushs_le //
 | lapply (in_comp_lift_bi f … Ht1) -Ht1 -H0t1 -Hb -Ht2
-  <lift_d_empty_dx //
-| lapply (eq_lift_bi f … Ht2) -Ht2 #Ht2
+  <lift_path_d_empty_dx //
+| lapply (lift_term_eq_repl_dx f … Ht2) -Ht2 #Ht2
   @(subset_eq_trans … Ht2) -t2
   @(subset_eq_trans … (lift_fsubst …))
   [ <structure_append <structure_A_sn <structure_append <structure_L_sn
+    @fsubst_eq_repl [ // ]
+    @(subset_eq_trans … (lift_iref …))
   | //
   | /2 width=2 by ex_intro/
   | //