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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 *)
10 (* \ / This file is distributed under the terms of the *)
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15 include "basic_2/substitution/lifts_lift.ma".
17 (* GENERIC RELOCATION *******************************************************)
19 (* Main properties **********************************************************)
21 (* Basic_1: was: lift1_lift1 (left to right) *)
22 theorem lifts_trans: ∀T1,T,des1. ⇧*[des1] T1 ≡ T → ∀T2:term. ∀des2. ⇧*[des2] T ≡ T2 →
23 ⇧*[des1 @@ des2] T1 ≡ T2.
24 #T1 #T #des1 #H elim H -T1 -T -des1 // /3 width=3/