Section ExponentAbelem.
Variable gT : finGroupType.
Implicit Types (p n : nat) (pi : nat_pred) (x : gT) (A B C : {set gT}).
Implicit Types E G H K P X Y : {group gT}.

Lemma exponentP A n :
reflect (forall x, x \in A -> x ^+ n = 1) (exponent A %| n).