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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 *)
11 (* v GNU General Public License Version 2 *)
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15 include "ground/relocation/tr_compose_pap.ma".
16 include "ground/relocation/tr_compose_tls.ma".
17 include "ground/relocation/tr_eq.ma".
19 (* COMPOSITION FOR TOTAL RELOCATION MAPS ************************************)
21 (* Main constructions *******************************************************)
23 corec theorem tr_compose_assoc (f3) (f2) (f1):
24 (f3 ∘ f2) ∘ f1 ≗ f3 ∘ (f2 ∘ f1).
26 cases tr_compose_unfold cases tr_compose_unfold cases tr_compose_unfold
28 /2 width=1 by stream_eq_cons/