{C : Type u_1} →
  {D : Type u_2} →
    [inst : CategoryTheory.Category.{v_1, u_1} C] →
      [inst_1 : CategoryTheory.Category.{v_2, u_2} D] →
        (L : CategoryTheory.Functor C D) →
          {H : Type u_3} →
            [inst_2 : CategoryTheory.Category.{v_3, u_3} H] →
              (G : CategoryTheory.Functor C H) →
                [inst_3 : L.HasPointwiseLeftKanExtension G] →
                  [inst_4 : CategoryTheory.Limits.HasColimitsOfShape D H] →
                    [inst_5 : CategoryTheory.Limits.HasColimitsOfShape C H] →
                      CategoryTheory.Limits.colimit G ≅
                        CategoryTheory.Limits.colimit ((CategoryTheory.CostructuredArrow.grothendieckProj L).comp G)