Mathlib Map

Theorems · Theorem · general topology

ultrafilter_isOpen_basic

∀ {α : Type u} (s : Set α), IsOpen {u | s ∈ u}

The basic open sets for the topology on ultrafilters are open.

Defined in
Mathlib.Topology.Compactification.StoneCech
Cited by
5 results in Mathlib
Foundations
Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.