∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {J : CategoryTheory.Limits.MulticospanShape}
  (I : CategoryTheory.Limits.MulticospanIndex J C) [inst_1 : CategoryTheory.Limits.HasProduct I.left]
  [inst_2 : CategoryTheory.Limits.HasProduct I.right]
  (X :
    CategoryTheory.Limits.Fork
      (I.fstPiMapOfIsLimit (CategoryTheory.Limits.limit.cone (CategoryTheory.Discrete.functor I.left))
        (CategoryTheory.Limits.limit.isLimit (CategoryTheory.Discrete.functor I.right)))
      (I.sndPiMapOfIsLimit (CategoryTheory.Limits.limit.cone (CategoryTheory.Discrete.functor I.left))
        (CategoryTheory.Limits.limit.isLimit (CategoryTheory.Discrete.functor I.right)))),
  (I.multiforkEquivPiFork.counitIso.inv.app X).hom = CategoryTheory.CategoryStruct.id X.pt