Theorems · Theorem · combinatorics
Finsupp.sum_toMultiset
∀ {α : Type u_1} [inst : AddCommMonoid α] (f : α →₀ ℕ), (Finsupp.toMultiset f).sum = f.sum fun a n => n • a- Defined in
- Mathlib.Data.Finsupp.Multiset
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
Around this declaration
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Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- Finsuppstatement and proof · cited by 5,255
- AddMonoidHomstatement · cited by 3,230
- Multisetstatement and proof · cited by 2,627
- Finsupp.singleproof · cited by 943
- Finsupp.supportproof · cited by 828
- Finsupp.sumstatement and proof · cited by 481
- Multiset.sumstatement and proof · cited by 388
- zero_nsmulproof · cited by 137
- Finsupp.sum_single_indexproof · cited by 130
- add_nsmulproof · cited by 44
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