theorem PiBase.Homeomorph.separableSpace {X : Type u_1} {Y : Type u_2} [TopologicalSpace X] [TopologicalSpace Y] [TopologicalSpace.SeparableSpace X] (f : X ≃ₜ Y) : TopologicalSpace.SeparableSpace Y

theorem PiBase.WellDefined.separableSpace : WellDefined TopologicalSpace.SeparableSpace