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15 (* This file was automatically generated: do not edit *********************)
17 include "basic_1A/A/defs.ma".
19 inductive aprem: nat \to (A \to (A \to Prop)) \def
20 | aprem_zero: \forall (a1: A).(\forall (a2: A).(aprem O (AHead a1 a2) a1))
21 | aprem_succ: \forall (a2: A).(\forall (a: A).(\forall (i: nat).((aprem i a2
22 a) \to (\forall (a1: A).(aprem (S i) (AHead a1 a2) a))))).