Theorems · Theorem · combinatorics
Finset.not_disjoint_iff
∀ {α : Type u_2} {s t : Finset α}, ¬Disjoint s t ↔ ∃ a ∈ s, a ∈ t- Defined in
- Mathlib.Data.Finset.Disjoint
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Disjointstatement · cited by 2,201
- Iff.notproof · cited by 489
- Finset.disjoint_leftproof · cited by 50
Cited by6
Results whose statement or proof uses this declaration.
- Finset.not_disjoint_iff_nonempty_interproof · cited by 3
- Finset.ruzsa_covering_addproof · cited by 2
- Finpartition.eq_of_mem_partsproof · cited by 2
- ExteriorAlgebra.ιMulti_family_mul_of_not_disjointproof · cited by 1
- MeasureTheory.IsSetSemiring.disjoint_disjointOfDiffUnionproof · cited by 1
- Set.PairwiseDisjoint.elim_finsetproof · cited by 0