∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {J : Type u₁} [inst_1 : CategoryTheory.Category.{v₁, u₁} J]
  {K : Type u₂} [inst_2 : CategoryTheory.Category.{v₂, u₂} K] [inst_3 : CategoryTheory.Limits.HasLimitsOfShape J C]
  (F : CategoryTheory.Functor J (CategoryTheory.Functor K C)) (j : J) (k : K) {Z : C} (h : (F.obj j).obj k ⟶ Z),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.limitObjIsoLimitCompEvaluation F k).inv
      (CategoryTheory.CategoryStruct.comp ((CategoryTheory.Limits.limit.π F j).app k) h) =
    CategoryTheory.CategoryStruct.comp
      (CategoryTheory.Limits.limit.π (F.comp ((CategoryTheory.evaluation K C).obj k)) j) h