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

theorem PiBase.WellDefined.sigmaCompactSpace : WellDefined SigmaCompactSpace