∀ {m : Type u_11} {n : Type u_12} {R : Type u_13} {S : Type u_14} [inst : TopologicalSpace R]
  [inst_1 : TopologicalSpace S] {f : R → S} [Finite m] [Finite n],
  Topology.IsOpenEmbedding f → Topology.IsOpenEmbedding fun x => x.map f