Theorems · Theorem · group theory

Finset.sum_Ico_add_right_sub_eq

∀ {α : Type u_1} {M : Type u_3} [inst : AddCommMonoid M] {f : α → M} [inst_1 : AddCommMonoid α]
  [inst_2 : PartialOrder α] [IsOrderedCancelAddMonoid α] [ExistsAddOfLE α] [inst_5 : LocallyFiniteOrder α]
  [inst_6 : Sub α] [OrderedSub α] (a b c : α), ∑ x ∈ Finset.Ico (a + c) (b + c), f (x - c) = ∑ x ∈ Finset.Ico a b, f x

Defined in

Mathlib.Algebra.BigOperators.Intervals

Cited by

0 results in Mathlib

Foundations

Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidAddCommMonoidPartialOrderIsOrderedCancelAddMonoidExistsAddOfLELocallyFiniteOrderSubOrderedSub