Theorems · Theorem · general topology

Homeomorph.image_frontier

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (h : X ≃ₜ Y) (s : Set X),
  ⇑h '' frontier s = frontier (⇑h '' s)

Defined in

Mathlib.Topology.Homeomorph.Defs

Cited by

1 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace