Theorems · Theorem · combinatorics
List.alternatingSum_eq_finsetSum
∀ {G : Type u_3} [inst : SubtractionCommMonoid G] (L : List G), L.alternatingSum = ∑ i, (-1) ^ ↑i • L[i]- Defined in
- Mathlib.Algebra.BigOperators.Fin
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SubtractionCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finset.sumstatement · cited by 5,195
- Finset.univstatement · cited by 3,473
- SubtractionCommMonoidstatement and proof · cited by 79
- List.alternatingSumstatement · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- List.alternatingSum_eq_finset_sumproof · cited by 0