Theorems · Theorem · combinatorics
Finset.singleton_ne_empty
∀ {α : Type u_1} (a : α), {a} ≠ ∅- Defined in
- Mathlib.Data.Finset.Insert
- 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.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Finset.Nonempty.ne_emptyproof · cited by 22
- Finset.singleton_nonemptyproof · cited by 15
Cited by6
Results whose statement or proof uses this declaration.
- Finset.sym_eq_emptyproof · cited by 2
- Set.Intersecting.is_max_iff_card_eqproof · cited by 2
- Finset.isAtom_singletonproof · cited by 1
- Finset.empty_ne_singletonproof · cited by 1
- addDissociated_singletonproof · cited by 0
- Finsupp.support_single_ne_botproof · cited by 0