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Theorems · Theorem · combinatorics

Set.intersecting_iff_pairwise_not_disjoint

∀ {α : Type u_1} [inst : SemilatticeInf α] [inst_1 : OrderBot α] {s : Set α},
  s.Intersecting ↔ (s.Pairwise fun a b => ¬Disjoint a b) ∧ s ≠ {⊥}
Defined in
Mathlib.Combinatorics.SetFamily.Intersecting
Cited by
1 results in Mathlib
Foundations
Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemilatticeInfOrderBot

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