finite_cover_nhds_interior

∀ {X : Type u} [inst : TopologicalSpace X] [CompactSpace X] {U : X → Set X},
  (∀ (x : X), U x ∈ nhds x) → ∃ t, ⋃ x ∈ t, interior (U x) = Set.univ

Defined in: Mathlib.Topology.Compactness.Compact
Cited by: 1 results in Mathlib
Foundations: Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: TopologicalSpace CompactSpace

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