Theorems · Theorem · group theory
Finset.sum_range_zero
∀ {M : Type u_3} [inst : AddCommMonoid M] (f : ℕ → M), ∑ k ∈ Finset.range 0, f k = 0- Cited by
- 9 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetproof · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- Finset.sumstatement and proof · cited by 5,195
- Finset.rangestatement · cited by 1,341
- Finset.sum_emptyproof · cited by 45
- Finset.range_zeroproof · cited by 12
Cited by9
Results whose statement or proof uses this declaration.
- Finset.sum_range_inductionproof · cited by 4
- ZetaAsymptotics.termSum_oneproof · cited by 2
- NormedRing.inverse_add_norm_diff_second_orderproof · cited by 1
- birkhoffSum_zeroproof · cited by 1
- Nat.geom_sum_leproof · cited by 1
- Finset.sum_range_by_partsproof · cited by 1
- Finset.le_sum_condensedproof · cited by 1
- Polynomial.bernoulli_three_eval_one_quarterproof · cited by 1
- bernoulliFun_eval_halfproof · cited by 0