Mathlib Map

Theorems · Theorem · general topology

TopologicalSpace.Clopens.isClopen

∀ {α : Type u_2} [inst : TopologicalSpace α] (s : TopologicalSpace.Clopens α), IsClopen ↑s
Defined in
Mathlib.Topology.Sets.Closeds
Cited by
3 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
Assumes
TopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

ContinuousMap.exists_finite_sum_smul_approximation_of_mem_uniformity · cited by 1ContinuousMap.exists_fini…TopologicalSpace.Clopens.isOpen · cited by 1Clopens.isOpenTopologicalSpace.Clopens.isClosed · cited by 0Clopens.isClosedTopologicalSpace · cited by 24529TopologicalSpaceSetLike.coe · cited by 8199SetLike.coeIsClopen · cited by 189IsClopenTopologicalSpace.Clopens · cited by 53TopologicalSpace.ClopensTopologicalSpace.Clopens.isClopen' · cited by 5Clopens.isClopen'Clopens.isClopenCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.