]> 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 73d4cbf46d3bab56b771232eda52d6864e9482c8..fb39e209a0191ad66309ebb3810b17fc07037cae 100644 (file)
 include "delayed_updating/reduction/dfr.ma".
 include "delayed_updating/reduction/ifr.ma".
 include "delayed_updating/substitution/fsubst_lift.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".
+include "ground/relocation/tr_id_pap.ma".
+include "ground/relocation/tr_id_pushs.ma".
 
 (* DELAYED FOCUSED REDUCTION ************************************************)
 
 lemma dfr_lift_bi (f) (p) (q) (t1) (t2): t1 ϵ 𝐓 →
       t1 ➡𝐝𝐟[p,q] t2 → ↑[f]t1 ➡𝐟[⊗p,⊗q] ↑[f]t2.
 #f #p #q #t1 #t2 #H0t1
-* #b * #Hb #Ht1 #Ht2
-@(ex_intro … (⊗b)) @and3_intro
+* #b #n * #Hb #Hn  #Ht1 #Ht2
+@(ex1_2_intro … (⊗b) (❘⊗q❘)) @and4_intro
 [ //
-| lapply (in_comp_lift_bi f … Ht1) -Ht1 #Ht1
+| //
+| lapply (in_comp_lift_bi f … Ht1) -Ht1 -H0t1 -Hb -Ht2 #Ht1
+  <depth_structure
 | lapply (eq_lift_bi f … Ht2) -Ht2 #Ht2
   @(subset_eq_trans … Ht2) -t2
   @(subset_eq_trans … (lift_fsubst …))
@@ -35,5 +41,3 @@ lemma dfr_lift_bi (f) (p) (q) (t1) (t2): t1 ϵ 𝐓 →
   | //
   ]
 ]
-  
-