∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {F : CategoryTheory.Functor C C}
  {A : CategoryTheory.Endofunctor.Coalgebra F} (h : CategoryTheory.Limits.IsTerminal A),
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Endofunctor.Coalgebra.Terminal.strInv h) A.str =
    CategoryTheory.CategoryStruct.id (F.obj A.V)