∀ {J : Type u_2} {K : Type u_6} [inst : CategoryTheory.Category.{u_1, u_2} J]
  [inst_1 : CategoryTheory.Category.{u_5, u_6} K] {C : Type u_4} [inst_2 : CategoryTheory.Category.{u_3, u_4} C]
  (G : CategoryTheory.Functor (J × K) C) {D : CategoryTheory.Limits.DiagramOfCones (CategoryTheory.Functor.curry.obj G)}
  (Q : (j : J) → CategoryTheory.Limits.IsLimit (D.obj j)) (c : CategoryTheory.Limits.Cone G) {x j' : J} (x_1 : x ⟶ j'),
  CategoryTheory.CategoryStruct.comp (((CategoryTheory.Functor.const J).obj c.pt).map x_1)
      ((Q j').lift { pt := c.pt, π := { app := fun k => c.π.app (j', k), naturality := ⋯ } }) =
    CategoryTheory.CategoryStruct.comp
      ((Q x).lift { pt := c.pt, π := { app := fun k => c.π.app (x, k), naturality := ⋯ } }) (D.conePoints.map x_1)