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Theorems · Definition · general topology

TopologicalSpace.Clopens.toCloseds

{α : Type u_2} → [inst : TopologicalSpace α] → TopologicalSpace.Clopens α → TopologicalSpace.Closeds α

Reinterpret a clopen as a closed.

Defined in
Mathlib.Topology.Sets.Closeds
Cited by
1 results in Mathlib
Foundations
Depth 11 from the axioms · uses no axioms
Assumes
TopologicalSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

TopologicalSpace.Clopens.coe_toCloseds · cited by 0Clopens.coe_toClosedsTopologicalSpace · cited by 24529TopologicalSpaceSetLike.coe · cited by 8199SetLike.coeTopologicalSpace.Closeds · cited by 168TopologicalSpace.ClosedsTopologicalSpace.Clopens · cited by 53TopologicalSpace.ClopensTopologicalSpace.Clopens.isClosed · cited by 0Clopens.isClosedClopens.toClosedsCITED BYCITES

Cites5

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Cited by1

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