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Theorems · Theorem · group theory

AddSubmonoidClass.coe_list_sum

∀ {M : Type u_1} {B : Type u_3} [inst : AddMonoid M] [inst_1 : SetLike B M] [inst_2 : AddSubmonoidClass B M] {S : B}
  (l : List ↥S), ↑l.sum = (List.map Subtype.val l).sum
Defined in
Mathlib.Algebra.Group.Submonoid.BigOperators
Cited by
2 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext
Assumes
AddMonoidSetLikeAddSubmonoidClass
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

list_sum_mem · cited by 10list_sum_memAddSubgroup.val_list_sum · cited by 0AddSubgroup.val_list_sumAddMonoid · cited by 2864AddMonoidSetLike · cited by 1084SetLikeAddSubmonoidClass · cited by 346AddSubmonoidClassmap_list_sum · cited by 31map_list_sumAddSubmonoidClass.subtype · cited by 12AddSubmonoidClass.subtypeAddSubmonoidClass.coe_list_sumCITED BYCITES

Cites5

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Cited by2

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