Theorems · Theorem · combinatorics
Multiset.sum_eq_sum_toEnumFinset
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : AddCommMonoid α] (m : Multiset α), m.sum = ∑ x ∈ m.toEnumFinset, x.1- Defined in
- Mathlib.Data.Multiset.Fintype
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqAddCommMonoid
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- Finset.sumstatement · cited by 5,195
- Multisetstatement and proof · cited by 2,627
- Multiset.mapproof · cited by 876
- Finset.valproof · cited by 438
- Multiset.sumstatement and proof · cited by 388
- Multiset.toEnumFinsetstatement and proof · cited by 24
- Multiset.map_toEnumFinset_fstproof · cited by 7
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