Theorems · Theorem · order theory

Set.preimage_const_div_Iic

∀ {α : Type u_1} [inst : CommGroup α] [inst_1 : PartialOrder α] [IsOrderedMonoid α] (a b : α),
  (fun x => a / x) ⁻¹' Set.Iic b = Set.Ici (a / b)

Defined in

Mathlib.Algebra.Order.Group.Pointwise.Interval

Cited by

2 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext, Quot.sound

Assumes

CommGroupPartialOrderIsOrderedMonoid