Section Subnormal.
Variable gT : finGroupType.
Implicit Types (A B C D : {set gT}) (G H K : {group gT}).
Let setIgr H G := (G :&: H)%G.
Let sub_setIgr G H : G \subset H -> G = setIgr H G.

Lemma subnormalEsupport G H :
H <|<| G -> H :=: G \/ <<class_support H G>> \proper G.