∀ {α : Type u_2} {β : Type u_3} [inst : Semiring α] [inst_1 : PartialOrder α] [inst_2 : AddCommMonoid β]
  [inst_3 : PartialOrder β] [inst_4 : MulActionWithZero α β] [inst_5 : CeilDiv α β] {a : α} [PosSMulMono α β]
  [PosSMulReflectLE α β], 0 < a → ∀ (b : β), a • b ⌈/⌉ a = b