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
index 9a713d1e550c477a26fe535146c414c8a7232c2c..73d4cbf46d3bab56b771232eda52d6864e9482c8 100644 (file)
--- a/matita/matita/contribs/lambdadelta/delayed_updating/reduction/dfr_ifr.ma
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/reduction/dfr_ifr.ma
@@ -15,10 +15,25 @@
 include "delayed_updating/reduction/dfr.ma".
 include "delayed_updating/reduction/ifr.ma".
 include "delayed_updating/substitution/fsubst_lift.ma".
+include "delayed_updating/syntax/prototerm_proper_constructors.ma".
 
 (* DELAYED FOCUSED REDUCTION ************************************************)
 
-lemma dfr_lift_bi (f) (p) (q) (t1) (t2): Ƭt1 →
+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 #Ht1
-* -t2 #b #Hr #Hb
+#f #p #q #t1 #t2 #H0t1
+* #b * #Hb #Ht1 #Ht2
+@(ex_intro … (⊗b)) @and3_intro
+[ //
+| lapply (in_comp_lift_bi f … Ht1) -Ht1 #Ht1
+| lapply (eq_lift_bi f … Ht2) -Ht2 #Ht2
+  @(subset_eq_trans … Ht2) -t2
+  @(subset_eq_trans … (lift_fsubst …))
+  [ <structure_append <structure_A_sn <structure_append <structure_L_sn
+  | //
+  | /2 width=2 by ex_intro/
+  | //
+  ]
+]
+  
+