Theorems · Theorem · general topology

OpenPartialHomeomorph.eventually_nhds

∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  (e : OpenPartialHomeomorph X Y) {x : X} (p : Y → Prop),
  x ∈ e.source → ((∀ᶠ (y : Y) in nhds (↑e x), p y) ↔ ∀ᶠ (x : X) in nhds x, p (↑e x))

Defined in

Mathlib.Topology.OpenPartialHomeomorph.Continuity

Cited by

2 results in Mathlib

Foundations

Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace