Theorems · Theorem · general topology

Topology.IsClosedEmbedding.closure_image_eq

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

Defined in

Mathlib.Topology.Maps.Basic

Cited by

3 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace