Theorems · Theorem · order theory

Finset.image_add_right_Ico

∀ {α : Type u_2} [inst : AddCommMonoid α] [inst_1 : PartialOrder α] [IsOrderedCancelAddMonoid α] [ExistsAddOfLE α]
  [inst_4 : LocallyFiniteOrder α] [inst_5 : DecidableEq α] (a b c : α),
  Finset.image (fun x => x + c) (Finset.Ico a b) = Finset.Ico (a + c) (b + c)

Defined in

Mathlib.Algebra.Order.Interval.Finset.Basic

Cited by

0 results in Mathlib

Foundations

Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidPartialOrderIsOrderedCancelAddMonoidExistsAddOfLELocallyFiniteOrderDecidableEq