∀ {𝒮 : Type u₁} {𝒳 : Type u₂} [inst : CategoryTheory.Category.{v₁, u₁} 𝒮] [inst_1 : CategoryTheory.Category.{v₂, u₂} 𝒳]
  {p : CategoryTheory.Functor 𝒳 𝒮} {S : 𝒮} {C : Type u₃} [inst_2 : CategoryTheory.Category.{v₃, u₃} C]
  {F F_1 : CategoryTheory.Functor C 𝒳} (e_F : F = F_1) (hF : F.comp p = (CategoryTheory.Functor.const C).obj S),
  CategoryTheory.Functor.Fiber.inducedFunctor hF = CategoryTheory.Functor.Fiber.inducedFunctor ⋯