Theorems · Theorem · group theory
Finset.sum_Icc_succ_top
∀ {M : Type u_3} [inst : AddCommMonoid M] {a b : ℕ},
a ≤ b + 1 → ∀ (f : ℕ → M), ∑ k ∈ Finset.Icc a (b + 1), f k = ∑ k ∈ Finset.Icc a b, f k + f (b + 1)- Defined in
- Mathlib.Algebra.BigOperators.Intervals
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
Around this declaration
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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.Iccstatement and proof · cited by 348
- Finset.Ico_add_one_right_eq_Iccproof · cited by 10
- Finset.sum_Ico_succ_topproof · cited by 6
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