Theorems · Theorem · combinatorics
Finset.disjoint_singleton_right
∀ {α : Type u_2} {s : Finset α} {a : α}, Disjoint s {a} ↔ a ∉ s- Defined in
- Mathlib.Data.Finset.Disjoint
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 61 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
- disjoint_commproof · cited by 49
- Finset.disjoint_singleton_leftproof · cited by 17
Cited by12
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.iIndepFun.indepFun_prodMkproof · cited by 7
- SimpleGraph.neighborFinset_disjoint_singletonproof · cited by 2
- MeasureTheory.lmarginal_insert'proof · cited by 2
- Geometry.SimplicialComplex.vertex_mem_convexHull_iffproof · cited by 1
- Finset.prod_lt_prod_of_subset_erase_union_singletonproof · cited by 0
- Finset.sum_Icc_of_even_eq_rangeproof · cited by 0
- Finset.sum_lt_sum_of_subset_erase_union_singletonproof · cited by 0
- Finset.sum_Icc_succ_eq_add_endpointsproof · cited by 0
- Finset.disjUnion_singletonstatement and proof · cited by 0
- Function.update_updateFinsetstatement and proof · cited by 0
- Finsupp.support_add_singleproof · cited by 0
- Finset.sum_Ico_int_subproof · cited by 0