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Theorems · Theorem · general algebraic systems

Multiset.support_sum_subset

∀ {ι : Type u_1} {M : Type u_2} [inst : DecidableEq ι] [inst_1 : AddCommMonoid M] (s : Multiset (ι →₀ M)),
  s.sum.support ⊆ (Multiset.map Finsupp.support s).sup
Defined in
Mathlib.Data.Finsupp.BigOperators
Cited by
1 results in Mathlib
Foundations
Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEqAddCommMonoid
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Around this declaration

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

Finset.support_sum_subset · cited by 0Finset.support_sum_subsetFinset · cited by 13712FinsetAddCommMonoid · cited by 12281AddCommMonoidFinsupp · cited by 5255FinsuppMultiset · cited by 2627MultisetMultiset.map · cited by 876Multiset.mapFinsupp.support · cited by 828Finsupp.supportMultiset.sum · cited by 388Multiset.sumMultiset.sup · cited by 20Multiset.supList.support_sum_subset · cited by 2List.support_sum_subsetMultiset.support_sum_subsetCITED BYCITES

Cites9

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Cited by1

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