Theorems · Theorem · group theory
AddSubgroup.val_multiset_sum
∀ {G : Type u_3} [inst : AddCommGroup G] (H : AddSubgroup G) (m : Multiset ↥H),
↑m.sum = (Multiset.map Subtype.val m).sum- Defined in
- Mathlib.Algebra.Group.Subgroup.Finite
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
- Assumes
- AddCommGroup
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommGroupstatement and proof · cited by 12,871
- AddSubgroupstatement and proof · cited by 3,232
- Multisetstatement and proof · cited by 2,627
- Multiset.mapstatement · cited by 876
- Multiset.sumstatement · cited by 388
- AddSubmonoidClass.coe_multiset_sumproof · cited by 2
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