Theorems · Theorem · general topology

eventuallyEq_nhdsWithin_iff

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] {f g : α → β} {s : Set α} {a : α},
  f =ᶠ[nhdsWithin a s] g ↔ ∀ᶠ (x : α) in nhds a, x ∈ s → f x = g x

Defined in

Mathlib.Topology.NhdsWithin

Cited by

3 results in Mathlib

Foundations

Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpace