Consider the following premises. If Thomas were a doctor, then it is overcast. If it is overcast, then Elisabeth is driving a car. If Elisabeth drives a car, then Michael is a scientist. If Michael were a scientist, then Thomas is a doctor. Can we infer the following from them? If we can, name the inference rule being used: If Thomas were a doctor, then Elisabeth is driving a car.
We can infer this via the transitivity rule. Therefore, the answer is yes.