TopologicalSpace.NonemptyCompacts.isOpen_inter_nonempty_of_isOpen

∀ {α : Type u_1} [inst : TopologicalSpace α] {U : Set α}, IsOpen U → IsOpen {K | (↑K ∩ U).Nonempty}

Defined in: Mathlib.Topology.Sets.VietorisTopology
Cited by: 2 results in Mathlib
Foundations: Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace

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