End MaxProps.
Section MinProps.
Variable gT : finGroupType.
Implicit Types G H M : {group gT}.

(* Specifications: *)
Lemma minnormal_exists G H : H :!=: 1 -> G \subset 'N(H) ->
{M : {group gT} | minnormal M G & M \subset H}.
Lemma morphpre_maximal_eq : maximal_eq (f @*^-1 M) (f @*^-1 G) = maximal_eq M G.
Lemma injm_maximal_eq : maximal_eq (f @* M) (f @* G) = maximal_eq M G.
Lemma injm_minnormal : minnormal (f @* M) (f @* G) = minnormal M G.
End InjmMax.