Consider the following premises. For all y, y is not a sailor or y is a cashier. For all y, y is a taxi driver or y is not a cashier. There is at least one y for which y is a sailor or y is a soldier. For all y, if y were a soldier, then y is a taxi driver. Can we infer the following from them? There is at least one y for which y is a taxi driver.
 From the fact that there is at least one y for which y is a sailor or y is a soldier, and that for all y, y is not a sailor or y is a cashier we can infer that there is at least one y for which y is a soldier or y is a cashier. From the fact that for all y, y is a taxi driver or y is not a cashier we can infer that for all y, if y were a cashier, then y is a taxi driver. Finally, from the fact that for all y, if y were a soldier, then y is a taxi driver, that for all y, if y were a cashier, then y is a taxi driver, and that there is at least one y for which y is a soldier or y is a cashier we can infer that there is at least one y for which y is a taxi driver. Therefore, the answer is yes.