Theorems · Theorem · general topology

Topology.IsInducing.dense_iff

∀ {X : Type u_1} {Y : Type u_2} {f : X → Y} [inst : TopologicalSpace Y] [inst_1 : TopologicalSpace X],
  Topology.IsInducing f → ∀ {s : Set X}, Dense s ↔ ∀ (x : X), f x ∈ closure (f '' s)

Defined in

Mathlib.Topology.Maps.Basic

Cited by

3 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceTopologicalSpace