Theorems · Theorem · order theory
Multiset.map_nsmul
∀ {α : Type u_1} {β : Type u_2} (f : α → β) (n : ℕ) (s : Multiset α), Multiset.map f (n • s) = n • Multiset.map f s- Defined in
- Mathlib.Algebra.Order.Group.Multiset
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- AddMonoidHom.map_nsmulproof · cited by 18
- Multiset.mapAddMonoidHomproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- Polynomial.roots_expand_pow_map_iterateFrobeniusproof · cited by 1
- ChevalleyThm.chevalley_mvPolynomialCproof · cited by 1
- Polynomial.roots_expand_map_frobeniusproof · cited by 1
- Polynomial.Monic.eq_X_sub_C_pow_of_natSepDegree_eq_one_of_splitsproof · cited by 0