∀ {X : Type u_1} {Y : Type u_3} {Z : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  [inst_2 : TopologicalSpace Z] {f : C(X, Y)} (hf : Topology.IsQuotientMap ⇑f),
  Function.RightInverse (fun g => ⟨g.comp f, ⋯⟩) fun g => hf.lift ↑g ⋯