Theorems · Theorem · general topology

IsOpenMap.clusterPt_comap

∀ {X : Type u_1} {Y : Type u_2} {f : X → Y} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y],
  IsOpenMap f → ∀ {x : X} {l : Filter Y}, ClusterPt (f x) l → ClusterPt x (Filter.comap f l)

Defined in

Mathlib.Topology.Maps.Basic

Cited by

3 results in Mathlib

Foundations

Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace