Consider the following premises. It is sunny. If Mary doesn't work, then it is cold. If Mary works, then it is not sunny. If it is cold, then Mary is sad. Can we infer the following from them? Mary is sad.
 From the fact that if Mary works, then it is not sunny, and that it is sunny we can infer that Mary is not working. From the fact that if Mary doesn't work, then it is cold, and that if it is cold, then Mary is sad we can infer that if Mary doesn't work, then Mary is sad. Finally, from the fact that if Mary doesn't work, then Mary is sad, and that Mary is not working we can infer that Mary is sad. Therefore, the answer is yes.