∀ (J : Type v) [inst : CategoryTheory.SmallCategory J] (C : Type u) [inst_1 : CategoryTheory.Category.{v, u} C]
  (X : (CategoryTheory.Functor J C)ᵒᵖ) (X_1 : C)
  (a :
    (CategoryTheory.yoneda.comp
          (((CategoryTheory.Functor.whiskeringLeft Jᵒᵖ Cᵒᵖ (Type v)).obj (Opposite.unop X).op).comp
            CategoryTheory.Limits.lim)).obj
      X_1)
  (j : J),
  (((CategoryTheory.Limits.opHomCompWhiskeringLimYonedaIsoCocones J C).hom.app X).app X_1 a).app j =
    CategoryTheory.Limits.limit.π ((Opposite.unop X).op.comp (CategoryTheory.yoneda.obj X_1)) (Opposite.op j) a