Theorems · Inductive type · general topology
TopologicalSpace.OpenNhdsOf
{α : Type u_2} → [TopologicalSpace α] → α → Type u_2The open neighborhoods of a point. See also Opens or nhds.
- Defined in
- Mathlib.Topology.Sets.Opens
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
Cited by22
Results whose statement or proof uses this declaration.
- TopologicalSpace.OpenNhdsOf.toOpensstatement and proof · cited by 17
- MeasureTheory.Measure.haar.addCHaar_mem_clAddPrehaarstatement and proof · cited by 6
- MeasureTheory.Measure.haar.chaar_mem_clPrehaarstatement and proof · cited by 6
- MeasureTheory.Measure.haar.clAddPrehaarstatement and proof · cited by 2
- MeasureTheory.Measure.haar.clPrehaarstatement and proof · cited by 2
- MeasureTheory.Measure.haar.nonempty_iInter_clAddPrehaarstatement and proof · cited by 2
- MeasureTheory.Measure.haar.nonempty_iInter_clPrehaarstatement and proof · cited by 2
- TopologicalSpace.OpenNhdsOf.casesOnstatement and proof · cited by 2
- TopologicalSpace.OpenNhdsOf.mk.injstatement · cited by 1
- TopologicalSpace.OpenNhdsOf.mk.noConfusionstatement · cited by 1
- TopologicalSpace.OpenNhdsOf.isOpenstatement and proof · cited by 1
- TopologicalSpace.OpenNhdsOf.memstatement and proof · cited by 1