Theorems · Theorem · general topology
nhdsSetWithin_singleton
∀ {α : Type u_1} [inst : TopologicalSpace α] {x : α} {s : Set α}, nhdsSetWithin {x} s = nhdsWithin x s- Defined in
- Mathlib.Topology.NhdsWithin
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 52 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
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Cites8
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
- nhdsproof · cited by 5,554
- nhdsWithinstatement · cited by 1,912
- Filter.principalproof · cited by 740
- nhdsSetWithinstatement · cited by 25
- nhdsSet_singletonproof · cited by 19
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