Theorems · Theorem · order theory

Set.preimage_mul_const_Iic

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

Defined in

Mathlib.Algebra.Order.Group.Pointwise.Interval

Cited by

7 results in Mathlib

Foundations

Depth 15 from the axioms · uses propext, Quot.sound

Assumes

CommGroupPartialOrderIsOrderedMonoid