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

theorem PiBase.WellDefined.weaklyCountablyCompact : WellDefined WeaklyCountablyCompact