Theorems · Theorem · combinatorics
Multiset.subset_zero
∀ {α : Type u_1} {s : Multiset α}, s ⊆ 0 ↔ s = 0- Defined in
- Mathlib.Data.Multiset.ZeroCons
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 18 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.Subset.reflproof · cited by 3
- Multiset.eq_zero_of_subset_zeroproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- Finset.subset_emptyproof · cited by 4
- Multiset.inter_eq_zero_iff_disjointproof · cited by 1
- Multiset.ndinter_eq_zero_iff_disjointproof · cited by 1