Theorems · Theorem · order theory
Finset.disjoint_iff_inter_eq_empty
∀ {α : Type u_1} [inst : DecidableEq α] {s t : Finset α}, Disjoint s t ↔ s ∩ t = ∅- Defined in
- Mathlib.Data.Finset.Lattice.Lemmas
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- disjoint_iffproof · cited by 76
Cited by4
Results whose statement or proof uses this declaration.
- Finset.sum_unionproof · cited by 40
- Finset.prod_unionproof · cited by 31
- Geometry.SimplicialComplex.vertex_mem_convexHull_iffproof · cited by 1
- Polynomial.aeval_sumIDeriv_of_posproof · cited by 1