{𝒮 : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} 𝒮] →
    {F : CategoryTheory.Pseudofunctor (CategoryTheory.LocallyDiscrete 𝒮) CategoryTheory.Cat} →
      {X Y : F.Grothendieck} → (self : X.Hom Y) → (F.map self.base.toLoc).toFunctor.obj X.fiber ⟶ Y.fiber