∀ {P : TopCat → Prop} {α : Type w} [inst : Finite α] (X : α → CompHausLike P)
  [inst_1 : CompHausLike.HasExplicitFiniteCoproduct X] (a : α),
  Topology.IsOpenEmbedding ⇑(CategoryTheory.ConcreteCategory.hom (CompHausLike.finiteCoproduct.ι X a))