∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {A : CategoryTheory.Functor Cᵒᵖ (Type v)}
  (F : CategoryTheory.Functor (CategoryTheory.CostructuredArrow CategoryTheory.yoneda A)ᵒᵖ (Type v))
  (s : CategoryTheory.CostructuredArrow CategoryTheory.yoneda A)
  (a : CategoryTheory.OverPresheafAux.OverArrows (CategoryTheory.OverPresheafAux.yonedaCollectionPresheafToA F) s.hom),
  (CategoryTheory.OverPresheafAux.counitAuxAux F s).inv a = CategoryTheory.OverPresheafAux.counitBackward F s a