Theorems · Theorem · combinatorics
Finset.sym2_eq_empty
∀ {α : Type u_1} {s : Finset α}, s.sym2 = ∅ ↔ s = ∅- Defined in
- Mathlib.Data.Finset.Sym
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Multisetproof · cited by 2,627
- Sym2statement and proof · cited by 737
- Finset.sym2statement · cited by 43
- Finset.val_eq_zeroproof · cited by 12
- Finset.sym2_valproof · cited by 4
- Multiset.sym2_eq_zero_iffproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Finset.sym2_nonemptyproof · cited by 1