∀ (β : Type u_2) (γ : Type u_1) [inst : Field β] [inst_1 : ConditionallyCompleteLinearOrder β]
  [inst_2 : IsStrictOrderedRing β] [inst_3 : Field γ] [inst_4 : ConditionallyCompleteLinearOrder γ]
  [inst_5 : IsStrictOrderedRing γ] (x y : β),
  (↑↑(ConditionallyCompleteLinearOrderedField.inducedOrderRingHom β γ).toRingHom).toFun (x * y) =
    (↑↑(ConditionallyCompleteLinearOrderedField.inducedOrderRingHom β γ).toRingHom).toFun x *
      (↑↑(ConditionallyCompleteLinearOrderedField.inducedOrderRingHom β γ).toRingHom).toFun y