∀ {P : TopCat → Prop} {X Y : CompHausLike P} (f f_1 : X ⟶ Y) (e_f : f = f_1)
  (bij : Function.Bijective ⇑(CategoryTheory.ConcreteCategory.hom f)),
  CompHausLike.isoOfBijective f bij = CompHausLike.isoOfBijective f_1 ⋯