Theorems · Theorem · general topology

IsClosedMap.subtype_map

∀ {X : Type u} {Y : Type v} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f : X → Y},
  IsClosedMap f → ∀ {s : Set X} {t : Set Y}, IsClosed s → ∀ (hst : ∀ x ∈ s, f x ∈ t), IsClosedMap (Subtype.map f hst)

Defined in

Mathlib.Topology.Constructions

Cited by

1 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace