∀ {J : Type u_1} {K : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} J]
  [inst_1 : CategoryTheory.Category.{v_2, u_2} K] {C : Type u_3} [inst_2 : CategoryTheory.Category.{v_3, u_3} C]
  (G : CategoryTheory.Functor (J × K) C) [inst_3 : CategoryTheory.Limits.HasColimitsOfShape K C]
  [inst_4 : CategoryTheory.Limits.HasColimit ((CategoryTheory.Functor.curry.obj G).comp CategoryTheory.Limits.colim)]
  {j : J} {k : K},
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.colimit.ι G (j, k))
      (CategoryTheory.Limits.colimitIsoColimitCurryCompColim G).hom =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.Limits.colimit.ι ((CategoryTheory.Functor.curry.obj G).obj j) k)
      (CategoryTheory.Limits.colimit.ι ((CategoryTheory.Functor.curry.obj G).comp CategoryTheory.Limits.colim) j)