Theorems · Theorem · general topology

TopologicalSpace.IsSeparable.image

∀ {α : Type u} [t : TopologicalSpace α] {β : Type u_2} [inst : TopologicalSpace β] {s : Set α},
  TopologicalSpace.IsSeparable s → ∀ {f : α → β}, Continuous f → TopologicalSpace.IsSeparable (f '' s)

Defined in

Mathlib.Topology.Bases

Cited by

3 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace