Theorems · Theorem · ring theory
Nat.cast_multiset_sum
∀ {R : Type u_4} [inst : AddCommMonoidWithOne R] (s : Multiset ℕ), ↑s.sum = (Multiset.map Nat.cast s).sum- Defined in
- Mathlib.Algebra.BigOperators.Ring.Finset
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
- Assumes
- AddCommMonoidWithOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.sumstatement · cited by 388
- AddCommMonoidWithOnestatement and proof · cited by 42
- map_multiset_sumproof · cited by 24
- Nat.castAddMonoidHomproof · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- Fin.isAddFreimanIso_Iicproof · cited by 1
- Polynomial.degree_multiset_prod_of_monicproof · cited by 1