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Theorems · Theorem · general topology

Filter.generate_neBot_iff

∀ {α : Type u_1} {s : Set (Set α)}, (Filter.generate s).NeBot ↔ ∀ t ⊆ s, t.Finite → (⋂₀ t).Nonempty
Defined in
Mathlib.Order.Filter.Bases.Finite
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Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
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Set · cited by 53352SetSet.Nonempty · cited by 2627Set.NonemptySet.Finite · cited by 1814Set.FiniteFilter.NeBot · cited by 853Filter.NeBotSet.sInter · cited by 225Set.sInterFilter.generate · cited by 30Filter.generateFilter.HasBasis.neBot_iff · cited by 5HasBasis.neBot_iffFilter.hasBasis_generate · cited by 2Filter.hasBasis_generateFilter.generate_neBot_iffCITED BYCITES

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