Theorems · Theorem · order theory

Set.image_const_div_Iio

∀ {α : Type u_1} [inst : CommGroup α] [inst_1 : PartialOrder α] [IsOrderedMonoid α] (a b : α),
  (fun x => a / x) '' Set.Iio b = Set.Ioi (a / b)

Defined in

Mathlib.Algebra.Order.Group.Pointwise.Interval

Cited by

1 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommGroupPartialOrderIsOrderedMonoid