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Theorems · Theorem · group theory

Finset.sum_list_count

∀ {M : Type u_4} [inst : AddCommMonoid M] [inst_1 : DecidableEq M] (s : List M),
  s.sum = ∑ m ∈ s.toFinset, List.count m s • m
Defined in
Mathlib.Algebra.BigOperators.Group.Finset.Basic
Cited by
1 results in Mathlib
Foundations
Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoidDecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Finset.sum_list_count_of_subset · cited by 1Finset.sum_list_count_of_…AddCommMonoid · cited by 12281AddCommMonoidFinset.sum · cited by 5195Finset.sumFinset.sum_congr · cited by 2323Finset.sum_congrList.toFinset · cited by 108List.toFinsetFinset.sum_list_map_count · cited by 3Finset.sum_list_map_countFinset.sum_list_countCITED BYCITES

Cites5

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Cited by1

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