∀ {A : Type u_1} {B : Type u_2} {F : Type u_3} [inst : FunLike F A B] (f : F) [inst_1 : MonoidWithZero A]
  [inst_2 : MonoidWithZero B] [inst_3 : MonoidWithZeroHomClass F A B],
  MonoidWithZeroHom.valueGroup f = Subgroup.closure ↑(MonoidWithZeroHom.valueMonoid f)