Theorems · Theorem · order theory
Finset.sum_Ico_add_eq_sum_Icc
∀ {α : Type u_1} {M : Type u_2} [inst : AddCommMonoid M] {f : α → M} {a b : α} [inst_1 : PartialOrder α]
[inst_2 : LocallyFiniteOrder α], a ≤ b → ∑ x ∈ Finset.Ico a b, f x + f b = ∑ x ∈ Finset.Icc a b, f x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- PartialOrderstatement and proof · cited by 6,410
- Finset.sumstatement and proof · cited by 5,195
- add_commproof · cited by 1,535
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.Icostatement and proof · cited by 450
- Finset.Iccstatement and proof · cited by 348
- Finset.add_sum_Ico_eq_sum_Iccproof · cited by 1
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