Theorems · Theorem · general topology

OpenPartialHomeomorph.eventually_ne_nhdsWithin

∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  (e : OpenPartialHomeomorph X Y) {x : X}, x ∈ e.source → ∀ᶠ (x' : X) in nhdsWithin x {x}ᶜ, ↑e x' ≠ ↑e x

Defined in

Mathlib.Topology.OpenPartialHomeomorph.Continuity

Cited by

0 results in Mathlib

Foundations

Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace