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

theorem PiBase.WellDefined.secondCountableTopology : WellDefined SecondCountableTopology