Filter.mem_generate_iff

∀ {α : Type u} {s : Set (Set α)} {U : Set α}, U ∈ Filter.generate s ↔ ∃ t ⊆ s, t.Finite ∧ ⋂₀ t ⊆ U

Defined in: Mathlib.Order.Filter.Finite
Cited by: 1 results in Mathlib
Foundations: Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

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