Section Cyclic.
Variable gT : finGroupType.
Implicit Types (a x y : gT) (A B : {set gT}) (G K H : {group gT}).
Definition cyclic A := [exists x, A == <[x]>].
Canonical Zpm_morphism := Morphism ZpmM.

Lemma expg_zneg G x (k : 'Z_(#|G|)) : x \in G -> x ^+ (- k)%R = x ^- k.