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Theorems · Theorem · general topology

Filter.HasBasis.neBot_iff

∀ {α : Type u_1} {ι : Sort u_4} {l : Filter α} {p : ι → Prop} {s : ι → Set α},
  l.HasBasis p s → (l.NeBot ↔ ∀ {i : ι}, p i → (s i).Nonempty)
Defined in
Mathlib.Order.Filter.Bases.Basic
Cited by
5 results in Mathlib
Foundations
Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound

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