Theorems · Theorem · order theory

Multiset.map_add_left_Ico

∀ {α : Type u_1} [inst : AddCommMonoid α] [inst_1 : PartialOrder α] [IsOrderedCancelAddMonoid α] [ExistsAddOfLE α]
  [inst_4 : LocallyFiniteOrder α] (a b c : α),
  Multiset.map (fun x => c + x) (Multiset.Ico a b) = Multiset.Ico (c + a) (c + b)

Defined in

Mathlib.Algebra.Order.Interval.Multiset

Cited by

1 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidPartialOrderIsOrderedCancelAddMonoidExistsAddOfLELocallyFiniteOrder