Theorems · Theorem · combinatorics
Multiset.eq_zero_iff_forall_notMem
∀ {α : Type u_1} {s : Multiset α}, s = 0 ↔ ∀ (a : α), a ∉ s- Defined in
- Mathlib.Data.Multiset.ZeroCons
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 16 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.
- Multisetstatement and proof · cited by 2,627
- Multiset.notMem_zeroproof · cited by 17
- Multiset.eq_zero_of_forall_notMemproof · cited by 13
Cited by7
Results whose statement or proof uses this declaration.
- Multiset.disjoint_leftproof · cited by 9
- UniqueFactorizationMonoid.card_factors_of_irreducibleproof · cited by 2
- UniqueFactorizationMonoid.normalizedFactors_posproof · cited by 1
- Multiset.Ioo_eq_zeroproof · cited by 1
- Polynomial.resultant_eq_prod_roots_subproof · cited by 1
- Sym.filter_ne_fillproof · cited by 1
- MvPolynomial.degrees_eq_zero_iff_support_subset_zeroproof · cited by 0