Theorems · Definition · combinatorics
Multiset.map
{α : Type u_1} → {β : Type v} → (α → β) → Multiset α → Multiset βmap f s is the lift of the list map operation. The multiplicity
of b in map f s is the number of a ∈ s (counting multiplicity)
such that f a = b.
- Defined in
- Mathlib.Data.Multiset.MapFold
- Cited by
- 876 results in Mathlib
- Foundations
- Depth 12 from the axioms, rests on 43 definitions · 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.ofListproof · cited by 290
Cited by945
Results whose statement or proof uses this declaration.
- Finset.sumproof · cited by 5,195
- Finset.prodproof · cited by 2,356
- Finset.imageproof · cited by 910
- Finset.mapproof · cited by 747
- map_sumproof · cited by 455
- Multiset.map_congrstatement · cited by 232
- Multiset.map_mapstatement · cited by 151
- UniqueFactorizationMonoid.normalizedFactorsproof · cited by 151
- Finset.sum_mapproof · cited by 115
- map_prodproof · cited by 108
- Multiset.map_consstatement · cited by 93
- Equiv.Perm.cycleTypeproof · cited by 87
Showing the 200 most cited of 945.