∀ {T : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} T] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  (F : CategoryTheory.Functor D T) {X : T} (Y : CategoryTheory.Over X) (Z : CategoryTheory.CostructuredArrow F Y.left),
  (CategoryTheory.CostructuredArrow.costructuredArrowToOverEquivalence.inverse F Y).obj Z =
    CategoryTheory.CostructuredArrow.mk (CategoryTheory.Over.homMk Z.hom ⋯)