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Theorems · Theorem · general topology

Filter.mem_coclosedCompact_iff

∀ {X : Type u} [inst : TopologicalSpace X] {s : Set X}, s ∈ Filter.coclosedCompact X ↔ IsCompact (closure sᶜ)

A set belongs to coclosedCompact if and only if the closure of its complement is compact.

Defined in
Mathlib.Topology.Compactness.Compact
Cited by
3 results in Mathlib
Foundations
Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace

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