Theorems · Theorem · general topology
TopologicalSpace.Clopens.countable_iff_secondCountable
∀ {X : Type u_1} [inst : TopologicalSpace X] [CompactSpace X] [T2Space X] [TotallyDisconnectedSpace X],
Countable (TopologicalSpace.Clopens X) ↔ SecondCountableTopology X- Defined in
- Mathlib.Topology.ClopenBox
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
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- CompactSpacestatement and proof · cited by 593
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