∀ (J : Type u₁) [inst : CategoryTheory.Category.{v₁, u₁} J] (C : Type u₃) [inst_1 : CategoryTheory.Category.{v₃, u₃} C]
  {X Y : (CategoryTheory.Functor J C)ᵒᵖ} (f : X ⟶ Y) (X_1 : C)
  (a : (CategoryTheory.coyoneda.obj (Opposite.op (Opposite.unop X))).obj ((CategoryTheory.Functor.const J).obj X_1))
  (X_2 : J),
  (((CategoryTheory.cocones J C).map f).app X_1 a).app X_2 =
    CategoryTheory.CategoryStruct.comp (f.unop.app X_2) (a.app X_2)