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 "preamble.ma".
17 inductive P: nat \to Prop \def
19 | p2: \forall i,j. T i \to P j \to P (i + j)
20 with T: nat \to Prop \def
21 | t1: \forall i. P i \to T (i * 3)
22 | t2: \forall i. T i \to T (i * 3)