Theorems · Theorem · general topology

Topology.IsInducing.nhdsSet_eq_comap

∀ {X : Type u_1} {Y : Type u_2} {f : X → Y} [inst : TopologicalSpace Y] [inst_1 : TopologicalSpace X],
  Topology.IsInducing f → ∀ (s : Set X), nhdsSet s = Filter.comap f (nhdsSet (f '' s))

Defined in

Mathlib.Topology.Maps.Basic

Cited by

2 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace