{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {X Y : C} →
      [inst_1 : CategoryTheory.Limits.HasInitial C] →
        [inst_2 : CategoryTheory.Limits.InitialMonoClass C] →
          (f : X ⟶ Y) → [inst_3 : CategoryTheory.Mono f] → (CategoryTheory.MonoOver.map f).obj ⊥ ≅ ⊥