Section PgroupProps.
Variable gT : finGroupType.
Implicit Types (pi rho : nat_pred) (p : nat).
Implicit Types (x y z : gT) (A B C D : {set gT}) (G H K P Q R : {group gT}).

Lemma p_eltM pi x y : commute x y -> pi.-elt x -> pi.-elt y -> pi.-elt (x * y).