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1 (**************************************************************************)
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3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
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13 (**************************************************************************)
14
15 include "preamble.ma".
16
17 inductive P: nat \to Prop \def
18    | p1: P 1
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)
23 .