Mathlib Map

Theorems · Definition · general topology

nhdsWithin

{X : Type u_1} → [TopologicalSpace X] → X → Set X → Filter X

The "neighborhood within" filter. Elements of 𝓝[s] x are sets containing the intersection of s and a neighborhood of x.

Defined in
Mathlib.Topology.Defs.Filter
Cited by
1,912 results in Mathlib
Foundations
Depth 48 from the axioms, rests on 538 definitions · uses propext, Quot.sound
Assumes
TopologicalSpace

Around this declaration

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

Cites5

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

Cited by1,937

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 1,937.