Theorems · Theorem · combinatorics
Finset.singleton_iff_unique_mem
∀ {α : Type u_1} (s : Finset α), (∃ a, s = {a}) ↔ ∃! a, a ∈ s- Defined in
- Mathlib.Data.Finset.Insert
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
- ExistsUniquestatement · cited by 268
Cited by2
Results whose statement or proof uses this declaration.
- SimpleGraph.degree_eq_one_iff_existsUnique_adjproof · cited by 3
- SimpleGraph.Subgraph.degree_eq_one_iff_existsUnique_adjproof · cited by 0