∀ {α : Type u_1} {β : Type u_2} {a₁ a₂ : α} {b₁ b₂ : β} [inst : Zero α] [inst_1 : Zero β] [inst_2 : SMulWithZero α β]
  [inst_3 : PartialOrder α] [inst_4 : PartialOrder β] [PosSMulStrictMono α β] [SMulPosStrictMono α β],
  a₁ ≤ a₂ → b₁ ≤ b₂ → 0 < a₁ → 0 < b₂ → (a₁ • b₁ = a₂ • b₂ ↔ a₁ = a₂ ∧ b₁ = b₂)