Consider the following premises. If Patricia drives a car, then Linda is a taxi driver. If Linda were a taxi driver, then Patricia is driving a car. If Thomas were a politician, then Mary is not playing a game. Mary is playing a game. Thomas is a politician if and only if Patricia is driving a car. Barbara is a cashier. Can we infer the following from them? Barbara is a cashier and Linda is not a taxi driver.
 From the fact that if Thomas were a politician, then Mary is not playing a game, and that Mary is playing a game we can infer that Thomas is not a politician. From the fact that Thomas is a politician if and only if Patricia is driving a car, and that Thomas is not a politician we can infer that Patricia is not driving a car. From the fact that if Linda were a taxi driver, then Patricia is driving a car, and that if Patricia drives a car, then Linda is a taxi driver we can infer that Linda is a taxi driver if and only if Patricia is driving a car. From the fact that Linda is a taxi driver if and only if Patricia is driving a car, and that Patricia is not driving a car we can infer that Linda is not a taxi driver. Finally, from the fact that Barbara is a cashier, and that Linda is not a taxi driver we can infer that Barbara is a cashier and Linda is not a taxi driver. Therefore, the answer is yes.