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Theorems · Definition · group theory

Multiset.sumAddMonoidHom

{M : Type u_5} → [inst : AddCommMonoid M] → Multiset M →+ M

Multiset.sum, the sum of the elements of a multiset, promoted to a morphism of AddCommMonoids.

Defined in
Mathlib.Algebra.BigOperators.Group.Multiset.Basic
Cited by
2 results in Mathlib
Foundations
Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Finsupp.multiset_sum_sum · cited by 0Finsupp.multiset_sum_sumMultiset.coe_sumAddMonoidHom · cited by 0Multiset.coe_sumAddMonoid…AddCommMonoid · cited by 12281AddCommMonoidAddMonoidHom · cited by 3230AddMonoidHomMultiset · cited by 2627MultisetMultiset.sum · cited by 388Multiset.sumMultiset.sum_add · cited by 10Multiset.sum_addMultiset.sum_zero · cited by 2Multiset.sum_zeroMultiset.sumAddMonoidHomCITED BYCITES

Cites6

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Cited by2

Results whose statement or proof uses this declaration.