Consider the following premises. If John cooks, then Karen is playing squash. Robert is an electrician. If it is sunny, then Karen is playing squash. If Robert were an electrician, then Patricia is driving a car. John is cooking or it is sunny. Can we infer the following from them? Karen is playing squash and Patricia is driving a car.
 From the fact that if John cooks, then Karen is playing squash, that if it is sunny, then Karen is playing squash, and that John is cooking or it is sunny we can infer that Karen is playing squash. From the fact that if Robert were an electrician, then Patricia is driving a car, and that Robert is an electrician we can infer that Patricia is driving a car. Finally, from the fact that Karen is playing squash, and that Patricia is driving a car we can infer that Karen is playing squash and Patricia is driving a car. Therefore, the answer is yes.