theorem PiBase.WellDefined.countablyCompactSpace : WellDefined CountablyCompactSpace

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