Theorems · Theorem · general topology
nhdsKer_singleton_subset_iff_mem_nhds
∀ {α : Type u_3} [inst : TopologicalSpace α] [AlexandrovDiscrete α] {t : Set α} {a : α}, nhdsKer {a} ⊆ t ↔ t ∈ nhds a- Defined in
- Mathlib.Topology.AlexandrovDiscrete
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Filterstatement · cited by 8,121
- nhdsstatement and proof · cited by 5,554
- nhdsKerstatement · cited by 53
- AlexandrovDiscretestatement and proof · cited by 45
- nhdsSet_singletonproof · cited by 19
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.