Theorems · Theorem · group theory
Multiset.nsmul_count
∀ {M : Type u_3} [inst : AddCommMonoid M] {s : Multiset M} [inst_1 : DecidableEq M] (a : M),
Multiset.count a s • a = (Multiset.filter (Eq a) s).sum- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
- Assumes
- AddCommMonoidDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Multisetstatement and proof · cited by 2,627
- Multiset.sumstatement and proof · cited by 388
- Multiset.countstatement and proof · cited by 302
- Multiset.filterstatement · cited by 102
- Multiset.sum_replicateproof · cited by 30
- Multiset.filter_eqproof · cited by 5
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