∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {J : Type w} [inst_2 : CategoryTheory.Category.{w', w} J] {K : CategoryTheory.Functor J C}
  {F : CategoryTheory.Functor C D},
  (∀ {c : CategoryTheory.Limits.Cone K} (hc : CategoryTheory.Limits.IsLimit (F.mapCone c)),
      Nonempty (CategoryTheory.Limits.IsLimit c)) →
    CategoryTheory.Limits.ReflectsLimit K F