∀ {α : Type u_1} {β : Type u_2} {a₁ a₂ : α} {b₁ b₂ : β} [inst : SMul α β] [inst_1 : Preorder α] [inst_2 : Preorder β]
  [inst_3 : Zero α] [inst_4 : Zero β] [PosSMulStrictMono α β] [SMulPosStrictMono α β],
  a₁ < a₂ → b₁ < b₂ → 0 < a₂ → 0 < b₁ → a₁ • b₁ < a₂ • b₂