Theorems · Theorem · general topology

eventually_ne_nhdsWithin

∀ {X : Type u_1} [inst : TopologicalSpace X] [T1Space X] {a b : X} {s : Set X},
  a ≠ b → ∀ᶠ (x : X) in nhdsWithin a s, x ≠ b

Defined in

Mathlib.Topology.Separation.Basic

Cited by

3 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceT1Space