Theorems · Theorem · combinatorics
Multiset.card_map
∀ {α : Type u_1} {β : Type v} (f : α → β) (s : Multiset α), (Multiset.map f s).card = s.card- Defined in
- Mathlib.Data.Multiset.MapFold
- Cited by
- 57 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Multiset.cardstatement · cited by 375
Cited by57
Results whose statement or proof uses this declaration.
- Finset.card_mapproof · cited by 114
- Set.toFinset_cardproof · cited by 63
- Finset.card_image_of_injOnproof · cited by 36
- Finset.card_image_leproof · cited by 33
- Finset.sum_le_card_nsmulproof · cited by 25
- Fintype.ofEquiv_cardproof · cited by 16
- Multiset.map_toEnumFinset_fstproof · cited by 7
- IsDiscreteValuationRing.associated_pow_irreducibleproof · cited by 4
- Multiset.map_eq_zeroproof · cited by 3
- Multiset.map_fst_le_of_subset_toEnumFinsetproof · cited by 3
- Multiset.card_productproof · cited by 3
- Multiset.map_lt_mapproof · cited by 3