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4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
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15 include "delayed_updating/substitution/lift_eq.ma".
16 include "ground/relocation/tr_compose_pap.ma".
17 include "ground/relocation/tr_compose_pn.ma".
19 (* LIFT FOR PATH ***********************************************************)
21 (* Constructions with tr_after *********************************************)
23 lemma lift_path_after (p) (f1) (f2):
24 ↑[f2]↑[f1]p = ↑[f2∘f1]p.
25 #p elim p -p [| * ] // #p #IH #f1 #f2
26 <lift_path_L_sn <lift_path_L_sn <lift_path_L_sn
27 >tr_compose_push_bi //