Theorems · Theorem · combinatorics
Multiset.map_map
∀ {α : Type u_1} {β : Type v} {γ : Type u_2} (g : β → γ) (f : α → β) (s : Multiset α),
Multiset.map g (Multiset.map f s) = Multiset.map (g ∘ f) s- Defined in
- Mathlib.Data.Multiset.MapFold
- Cited by
- 151 results in Mathlib
- Foundations
- Depth 13 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.mapstatement · cited by 876
Cited by151
Results whose statement or proof uses this declaration.
- map_sumproof · cited by 455
- Finset.sum_mapproof · cited by 115
- map_prodproof · cited by 108
- Finset.prod_mapproof · cited by 75
- UniqueFactorizationMonoid.prod_normalizedFactorsproof · cited by 23
- Finset.map_mapproof · cited by 22
- Finset.image_imageproof · cited by 16
- UniqueFactorizationMonoid.normalizedFactors_mulproof · cited by 11
- Polynomial.natDegree_sum_leproof · cited by 9
- Polynomial.splits_iff_exists_multisetproof · cited by 9
- Multiset.card_bindproof · cited by 6
- Polynomial.natDegree_multiset_prod_X_sub_C_eq_cardproof · cited by 6