Theorems · Theorem · group theory
Finset.sum_Icc_of_even_eq_range
∀ {α : Type u_1} [inst : AddCommGroup α] {f : ℤ → α},
Function.Even f → ∀ (N : ℕ), ∑ m ∈ Finset.Icc (-↑N) ↑N, f m = 2 • ∑ m ∈ Finset.range (N + 1), f ↑m - f 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommGroup
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Cites31
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetproof · cited by 13,712
- AddCommGroupstatement and proof · cited by 12,871
- Finset.sumstatement and proof · cited by 5,195
- Nat.cast_oneproof · cited by 2,501
- zero_addproof · cited by 2,366
- Finset.sum_congrproof · cited by 2,323
- Disjointproof · cited by 2,201
- Finset.rangestatement and proof · cited by 1,341
- Nat.cast_addproof · cited by 586
- neg_zeroproof · cited by 542
- CharP.cast_eq_zeroproof · cited by 357
- Finset.Iccstatement and proof · cited by 348
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