Theorems · Theorem · general topology

Topology.IsOpenEmbedding.quasiSober

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] {f : α → β},
  Topology.IsOpenEmbedding f → ∀ [QuasiSober β], QuasiSober α

Defined in

Mathlib.Topology.Sober

Cited by

2 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceQuasiSober