Theorems · Definition · order theory
Multiset.mapAddMonoidHom
{α : Type u_1} → {β : Type u_2} → (α → β) → Multiset α →+ Multiset βMultiset.map as an AddMonoidHom.
- Defined in
- Mathlib.Algebra.Order.Group.Multiset
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidHomstatement · cited by 3,230
- Multisetstatement · cited by 2,627
- Multiset.mapproof · cited by 876
- Multiset.map_addproof · cited by 26
- Multiset.map_zeroproof · cited by 8
Cited by7
Results whose statement or proof uses this declaration.
- Multiset.map_nsmulproof · cited by 4
- PrimeMultiset.coePNatMonoidHomproof · cited by 2
- PrimeMultiset.coeNatMonoidHomproof · cited by 1
- Multiset.coe_mapAddMonoidHomstatement · cited by 1
- Finsupp.toMultiset_mapproof · cited by 1
- Finsupp.multiset_map_sumproof · cited by 0
- Multiset.mapAddMonoidHom_applystatement and proof · cited by 0