Section InternalGroupAction.
Variable gT : finGroupType.
Implicit Types A B : {set gT}.
Implicit Types G H : {group gT}.
Implicit Type x : gT.
(*  Various identities for actions on groups. *)

Lemma actsQ A B H :
A \subset 'N(H) -> A \subset 'N(B) -> [acts A, on B / H | 'Q].