Theorems · Theorem · general topology

mapClusterPt_comp

∀ {X : Type u} [inst : TopologicalSpace X] {α : Type u_1} {β : Type u_2} {F : Filter α} {x : X} {φ : α → β} {u : β → X},
  MapClusterPt x F (u ∘ φ) ↔ MapClusterPt x (Filter.map φ F) u

Defined in

Mathlib.Topology.ClusterPt

Cited by

2 results in Mathlib

Foundations

Depth 50 from the axioms · uses propext, Quot.sound

Assumes

TopologicalSpace