Theorems · Theorem · combinatorics
Multiset.notMem_zero
∀ {α : Type u_1} (a : α), a ∉ 0- Defined in
- Mathlib.Data.Multiset.ZeroCons
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multisetstatement · cited by 2,627
Cited by17
Results whose statement or proof uses this declaration.
- UniqueFactorizationMonoid.normalizedFactors_oneproof · cited by 8
- Multiset.eq_zero_iff_forall_notMemproof · cited by 7
- WfDvdMonoid.exists_factorsproof · cited by 5
- DFinsupp.inductionproof · cited by 5
- Multiset.le_infproof · cited by 3
- Multiset.eq_zero_of_subset_zeroproof · cited by 3
- Multiset.mem_of_mem_nsmulproof · cited by 3
- UniqueFactorizationMonoid.factors_oneproof · cited by 2
- Multiset.mem_piproof · cited by 2
- Multiset.zero_ne_consproof · cited by 1
- Ideal.singleton_span_mem_normalizedFactors_of_mem_normalizedFactorsproof · cited by 1
- isAddFreimanHom_emptyproof · cited by 0