Theorems · Theorem · general topology
nhdsSetWithin_self
∀ {α : Type u_1} [inst : TopologicalSpace α] {s : Set α}, nhdsSetWithin s s = Filter.principal s- Defined in
- Mathlib.Topology.NhdsWithin
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Filter.principalstatement and proof · cited by 740
- inf_of_le_rightproof · cited by 128
- nhdsSetWithinstatement · cited by 25
Cited by2
Results whose statement or proof uses this declaration.
- generalized_tube_lemma_rightproof · cited by 0
- generalized_tube_lemma_leftproof · cited by 0