{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        (F : CategoryTheory.Functor C D) →
          [F.Initial] →
            {E : Type u₃} →
              [inst_3 : CategoryTheory.Category.{v₃, u₃} E] →
                (G : CategoryTheory.Functor D E) → CategoryTheory.Limits.Cone (F.comp G) ≌ CategoryTheory.Limits.Cone G