Theorems · Theorem · general topology

OpenPartialHomeomorph.nhds_eq_comap_inf_principal

∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  (e : OpenPartialHomeomorph X Y) {x : X},
  x ∈ e.source → nhds x = Filter.comap (↑e) (nhds (↑e x)) ⊓ Filter.principal e.source

Defined in

Mathlib.Topology.OpenPartialHomeomorph.Basic

Cited by

1 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace