Theorems · Theorem · group theory
List.sum_eq_card_nsmul
∀ {M : Type u_2} [inst : AddMonoid M] (l : List M) (m : M), (∀ x ∈ l, x = m) → l.sum = l.length • m- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- Assumes
- AddMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddMonoidstatement and proof · cited by 2,864
- List.sum_replicateproof · cited by 19
Cited by2
Results whose statement or proof uses this declaration.
- TrivSqZeroExt.snd_pow_of_smul_commproof · cited by 3
- Multiset.noncommSum_eq_card_nsmulproof · cited by 1