Theorems · Theorem · general topology

Topology.IsEmbedding.map_nhdsWithin_eq

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] {f : α → β},
  Topology.IsEmbedding f → ∀ (s : Set α) (x : α), Filter.map f (nhdsWithin x s) = nhdsWithin (f x) (f '' s)

Defined in

Mathlib.Topology.ContinuousOn

Cited by

36 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace