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

theorem PiBase.WellDefined.weaklyLocallyCompactSpace : WellDefined WeaklyLocallyCompactSpace