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1 (**************************************************************************)
2 (*       ___                                                              *)
3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
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9 (*      \   /                                                             *)
10 (*       \ /        This file is distributed under the terms of the       *)
11 (*        v         GNU General Public License Version 2                  *)
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14
15 include "ground/relocation/mr2_append.ma".
16 include "basic_2A/multiple/drops_drop.ma".
17
18 (* ITERATED LOCAL ENVIRONMENT SLICING ***************************************)
19
20 (* Main properties **********************************************************)
21
22 theorem drops_trans: ∀L,L2,s,cs2. ⬇*[s, cs2] L ≡ L2 → ∀L1,cs1. ⬇*[s, cs1] L1 ≡ L →
23                      ⬇*[s, cs2 ;; cs1] L1 ≡ L2.
24 #L #L2 #s #cs2 #H elim H -L -L2 -cs2 /3 width=3 by drops_cons/
25 qed-.