Theorems · Theorem · general topology

Topology.IsOpenEmbedding.of_comp_iff

∀ {X : Type u_1} {Y : Type u_2} {Z : Type u_3} {g : Y → Z} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  [inst_2 : TopologicalSpace Z] (f : X → Y),
  Topology.IsOpenEmbedding g → (Topology.IsOpenEmbedding (g ∘ f) ↔ Topology.IsOpenEmbedding f)

Defined in

Mathlib.Topology.Maps.Basic

Cited by

2 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpace