Sort u →
  {B : Type u_1} →
    {C : Type u_2} →
      [inst : CategoryTheory.Bicategory C] →
        {F : B → C} →
          {X Y : CategoryTheory.Bicategory.InducedBicategory C F} →
            X.Hom Y →
              {B' : Type u_1} →
                {C' : Type u_2} →
                  [inst' : CategoryTheory.Bicategory C'] →
                    {F' : B' → C'} → {X' Y' : CategoryTheory.Bicategory.InducedBicategory C' F'} → X'.Hom Y' → Sort u