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Theorems · Theorem · group theory

Multiset.fst_sum

∀ {M : Type u_5} {N : Type u_6} [inst : AddCommMonoid M] [inst_1 : AddCommMonoid N] (s : Multiset (M × N)),
  s.sum.1 = (Multiset.map Prod.fst s).sum
Defined in
Mathlib.Algebra.BigOperators.Group.Multiset.Basic
Cited by
1 results in Mathlib
Foundations
Depth 15 from the axioms · uses propext, Quot.sound
Assumes
AddCommMonoidAddCommMonoid
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Around this declaration

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

IsAddFreimanHom.prodMk · cited by 1IsAddFreimanHom.prodMkAddCommMonoid · cited by 12281AddCommMonoidMultiset · cited by 2627MultisetMultiset.map · cited by 876Multiset.mapMultiset.sum · cited by 388Multiset.sumAddMonoidHom.fst · cited by 39AddMonoidHom.fstmap_multiset_sum · cited by 24map_multiset_sumMultiset.fst_sumCITED BYCITES

Cites6

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Cited by1

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