∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C] {FC : C → C → Type u_1} {CC : C → Type w}
  [inst_1 : (X Y : C) → FunLike (FC X Y) (CC X) (CC Y)] [inst_2 : CategoryTheory.ConcreteCategory C FC],
  CategoryTheory.MorphismProperty.injective C = CategoryTheory.MorphismProperty.monomorphisms C ↔
    (CategoryTheory.forget C).PreservesMonomorphisms