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Theorems · Theorem · general topology

Filter.IsBasis.mem_filterBasis_iff

∀ {α : Type u_1} {ι : Sort u_4} {p : ι → Prop} {s : ι → Set α} (h : Filter.IsBasis p s) {U : Set α},
  U ∈ h.filterBasis ↔ ∃ i, p i ∧ s i = U
Defined in
Mathlib.Order.Filter.Bases.Basic
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Depth 9 from the axioms · uses no axioms
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Set · cited by 53352SetFilterBasis · cited by 23FilterBasisFilter.IsBasis · cited by 14Filter.IsBasisFilter.IsBasis.filterBasis · cited by 4IsBasis.filterBasisIsBasis.mem_filterBasis_iffCITED BYCITES

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