Theorems · Theorem · combinatorics
Multiset.map_cons
∀ {α : Type u_1} {β : Type v} (f : α → β) (a : α) (s : Multiset α), Multiset.map f (a ::ₘ s) = f a ::ₘ Multiset.map f s- Defined in
- Mathlib.Data.Multiset.MapFold
- Cited by
- 93 results in Mathlib
- Foundations
- Depth 13 from the axioms, rests on 44 definitions · 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.consstatement · cited by 313
Cited by93
Results whose statement or proof uses this declaration.
- Polynomial.Splits.exists_eval_eq_zeroproof · cited by 14
- Multiset.cons_bindproof · cited by 13
- Finset.fold_insertproof · cited by 11
- Equiv.Perm.sign_of_cycleTypeproof · cited by 7
- Polynomial.monic_multiset_prod_of_monicproof · cited by 6
- Associates.prod_mkproof · cited by 6
- Finset.fold_consproof · cited by 6
- Multiset.sum_map_mul_rightproof · cited by 5
- Multiset.bind_mapproof · cited by 5
- Multiset.bind_singletonproof · cited by 5
- Finset.noncommProd_consproof · cited by 4
- Multiset.rel_map_leftproof · cited by 4