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 pHall_subl pi G K H :
H \subset K -> K \subset G -> pi.-Hall(G) H -> pi.-Hall(K) H.