Consider the following premises. It is windy if and only if Joseph is playing squash. Patricia is a bartender if and only if Patricia is a lawyer. It is cloudy. Joseph is not playing squash. If Patricia were a lawyer, then it is not cloudy. Can we infer the following from them? Patricia is not a bartender.
 From the fact that if Patricia were a lawyer, then it is not cloudy, and that it is cloudy we can infer that Patricia is not a lawyer. From the fact that it is windy if and only if Joseph is playing squash, and that Joseph is not playing squash we can infer that it is not windy. Finally, from the fact that Patricia is a bartender if and only if Patricia is a lawyer, and that Patricia is not a lawyer we can infer that Patricia is not a bartender. Therefore, the answer is yes.