1 (**************************************************************************)
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 *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 include "ground_2/relocation/mr2_append.ma".
16 include "basic_2A/multiple/drops_drop.ma".
18 (* ITERATED LOCAL ENVIRONMENT SLICING ***************************************)
20 (* Main properties **********************************************************)
22 (* Basic_1: was: drop1_trans *)
23 theorem drops_trans: ∀L,L2,s,cs2. ⬇*[s, cs2] L ≡ L2 → ∀L1,cs1. ⬇*[s, cs1] L1 ≡ L →
24 ⬇*[s, cs2 @@ cs1] L1 ≡ L2.
25 #L #L2 #s #cs2 #H elim H -L -L2 -cs2 /3 width=3 by drops_cons/