Theorems · Theorem · combinatorics
Multiset.exists_cons_of_mem
∀ {α : Type u_1} {s : Multiset α} {a : α}, a ∈ s → ∃ t, s = a ::ₘ t- Defined in
- Mathlib.Data.Multiset.ZeroCons
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, 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.consstatement and proof · cited by 313
- Multiset.ofListproof · cited by 290
Cited by15
Results whose statement or proof uses this declaration.
- Polynomial.Splits.exists_eval_eq_zeroproof · cited by 14
- Multiset.le_sum_of_memproof · cited by 5
- Multiset.prod_eq_zeroproof · cited by 4
- Multiset.singleton_leproof · cited by 3
- Multiset.cons_eq_consproof · cited by 2
- UniqueFactorizationMonoid.card_factors_of_irreducibleproof · cited by 2
- Polynomial.Splits.natDegree_le_one_of_irreducibleproof · cited by 2
- Multiset.mem_le_prod_of_one_leproof · cited by 1
- Multiset.rel_of_forallproof · cited by 1
- alternatingGroup.mem_kleinFour_of_order_two_powproof · cited by 1
- Multiset.le_bindproof · cited by 0
- Multiset.cons_le_of_notMemproof · cited by 0