∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C]
  [inst_1 : CategoryTheory.EnrichedOrdinaryCategory CategoryTheory.Cat C] {X Y : CategoryTheory.CatEnrichedOrdinary C}
  {f g : X ⟶ Y} (α : CategoryTheory.CatEnrichedOrdinary.homEquiv f ⟶ CategoryTheory.CatEnrichedOrdinary.homEquiv g),
  CategoryTheory.CatEnrichedOrdinary.Hom.base (CategoryTheory.CatEnrichedOrdinary.Hom.mk α) = α