∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f : C(X, Y)}
  (hf : Topology.IsQuotientMap ⇑f) (b : Y), hf.homeomorph.symm b = Quotient.mk'' (Function.surjInv ⋯ b)