Theorems · Theorem · group theory
map_multiset_ne_zero_sum
∀ {F : Type u_1} {M : Type u_5} {N : Type u_6} [inst : AddCommMonoid M] [inst_1 : AddCommMonoid N]
[inst_2 : FunLike F M N] [AddHomClass F M N] (f : F) {s : Multiset M}, s ≠ 0 → f s.sum = (Multiset.map (⇑f) s).sum- Cited by
- 1 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- Multisetstatement and proof · cited by 2,627
- FunLikestatement and proof · cited by 2,560
- Multiset.mapstatement · cited by 876
- Multiset.sumstatement · cited by 388
- AddHomClassstatement and proof · cited by 65
- Multiset.sum_hom_ne_zeroproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- AddHomClass.isAddFreimanHomproof · cited by 6