Theorems · Theorem · combinatorics
Multiset.singleton_add
∀ {α : Type u_1} (a : α) (s : Multiset α), {a} + s = a ::ₘ s- Defined in
- Mathlib.Data.Multiset.AddSub
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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 · cited by 313
Cited by13
Results whose statement or proof uses this declaration.
- Multiset.cons_addproof · cited by 10
- Multiset.filter_consproof · cited by 5
- Relation.acc_of_singletonproof · cited by 2
- Multiset.add_singleton_eq_iffproof · cited by 1
- Relation.cutExpand_fibrationproof · cited by 1
- Multiset.nsmul_consproof · cited by 1
- Multiset.cons_sub_of_leproof · cited by 1
- Multiset.range_succproof · cited by 1
- Finset.singleton_disjUnionproof · cited by 1
- Polynomial.splits_X_sub_C_mul_iffproof · cited by 1
- UniqueFactorizationMonoid.normalizedFactors_prod_eqproof · cited by 0