include "delayed_updating/unwind/unwind2_path_lift.ma".
include "delayed_updating/unwind/unwind2_prototerm.ma".
-(* UNWIND FOR PROTOTERM *****************************************************)
+(* TAILED UNWIND FOR PROTOTERM **********************************************)
(* Constructions with lift_prototerm ****************************************)
@lift_unwind2_path_after
qed.
-lemma unwind2_term_after_lift (f1) (f2) (t):
+lemma unwind2_lift_term_after (f1) (f2) (t):
▼[f2]↑[f1]t ⇔ ▼[f2∘f1]t.
#f1 #f2 #t @subset_eq_trans
[| @subset_inclusion_ext_f1_compose ]
@subset_equivalence_ext_f1_exteq #p
-@unwind2_path_after_lift
+@unwind2_lift_path_after
qed.