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Theorems · Theorem · general topology

ultrafilter_isClosed_basic

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

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

Defined in
Mathlib.Topology.Compactification.StoneCech
Cited by
2 results in Mathlib
Foundations
Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

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