Theorems · Theorem · group theory
AddHom.map_multiset_ne_zero_sum
∀ {M : Type u_5} {N : Type u_6} [inst : AddCommMonoid M] [inst_1 : AddCommMonoid N] (f : M →ₙ+ N) (s : Multiset M),
s ≠ 0 → f s.sum = (Multiset.map (⇑f) s).sum- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- AddCommMonoidAddCommMonoid
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Cites7
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
- Multiset.mapstatement · cited by 876
- Multiset.sumstatement · cited by 388
- AddHomstatement and proof · cited by 294
- Multiset.sum_hom_ne_zeroproof · cited by 2
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