Theorems · Theorem · combinatorics
Multiset.map_add
∀ {α : Type u_1} {β : Type v} (f : α → β) (s t : Multiset α),
Multiset.map f (s + t) = Multiset.map f s + Multiset.map f t- Defined in
- Mathlib.Data.Multiset.MapFold
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, 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.mapstatement · cited by 876
Cited by27
Results whose statement or proof uses this declaration.
- Equiv.Perm.Disjoint.cycleType_mulproof · cited by 14
- UniqueFactorizationMonoid.normalizedFactors_mulproof · cited by 11
- Multiset.mapAddMonoidHomproof · cited by 5
- Multiset.add_bindproof · cited by 4
- Multiset.powersetCard_mapproof · cited by 3
- Finset.fold_disjUnionproof · cited by 2
- Equiv.Perm.sign_of_cycleType'proof · cited by 2
- Multiset.map_disjSumproof · cited by 2
- Finset.fold_union_interproof · cited by 2
- Associates.prod_addproof · cited by 2
- Multiset.map_swap_productproof · cited by 2
- Multiset.product_addproof · cited by 1