Theorems · Theorem · general topology

Continuous.image_derivedSet

∀ {X : Type u_1} [inst : TopologicalSpace X] {β : Type u_2} [inst_1 : TopologicalSpace β] {A : Set X} {f : X → β},
  Continuous f → Function.Injective f → f '' derivedSet A ⊆ derivedSet (f '' A)

Defined in

Mathlib.Topology.DerivedSet

Cited by

0 results in Mathlib

Foundations

Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace