Theorems · Theorem · field theory
Multiset.sum_map_div
∀ {ι : Type u_1} {K : Type u_2} [inst : DivisionSemiring K] (s : Multiset ι) (f : ι → K) (a : K),
(Multiset.map (fun x => f x / a) s).sum = (Multiset.map f s).sum / a- Defined in
- Mathlib.Algebra.BigOperators.Field
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- DivisionSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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 and proof · cited by 876
- div_eq_mul_invproof · cited by 715
- Multiset.sumstatement and proof · cited by 388
- Multiset.map_congrproof · cited by 232
- DivisionSemiringstatement and proof · cited by 216
- Multiset.sum_map_mul_rightproof · cited by 5
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.