Theorems · Theorem · group theory
AddSubmonoidClass.coe_multiset_sum
∀ {B : Type u_3} {S : B} {M : Type u_4} [inst : AddCommMonoid M] [inst_1 : SetLike B M] [inst_2 : AddSubmonoidClass B M]
(m : Multiset ↥S), ↑m.sum = (Multiset.map Subtype.val m).sum- Cited by
- 2 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Multisetstatement and proof · cited by 2,627
- SetLikestatement and proof · cited by 1,084
- Multiset.mapstatement · cited by 876
- Multiset.sumstatement · cited by 388
- AddSubmonoidClassstatement and proof · cited by 346
- AddSubmonoidClass.subtypeproof · cited by 12
- AddMonoidHom.map_multiset_sumproof · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- multiset_sum_memproof · cited by 10
- AddSubgroup.val_multiset_sumproof · cited by 0