{𝒮 : Type u₁} →
  {𝒳 : Type u₂} →
    [inst : CategoryTheory.Category.{v₁, u₁} 𝒮] →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} 𝒳] →
        (p : CategoryTheory.Functor 𝒳 𝒮) →
          [inst_2 : HasFibers p] →
            (S : 𝒮) → HasFibers.ι S ≅ (HasFibers.inducedFunctor p S).comp CategoryTheory.Functor.Fiber.fiberInclusion