Filter.HasBasis.mem_iff

∀ {α : Type u_1} {ι : Sort u_4} {l : Filter α} {p : ι → Prop} {s : ι → Set α} {t : Set α},
  l.HasBasis p s → (t ∈ l ↔ ∃ i, p i ∧ s i ⊆ t)

Definition of HasBasis unfolded with implicit set argument.

Defined in: Mathlib.Order.Filter.Bases.Basic
Cited by: 193 results in Mathlib
Foundations: Depth 7 from the axioms, rests on 17 definitions · uses no axioms

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