Consider the following premises. Patricia is a sailor if and only if Mary is an artist. It is sunny if and only if Mary is an artist. Patricia is not a sailor. James is playing a game if and only if it is sunny. Can we infer the following from them? James is not playing a game.
 From the fact that Patricia is a sailor if and only if Mary is an artist, and that Patricia is not a sailor we can infer that Mary is not an artist. From the fact that it is sunny if and only if Mary is an artist, and that Mary is not an artist we can infer that it is not sunny. Finally, from the fact that James is playing a game if and only if it is sunny, and that it is not sunny we can infer that James is not playing a game. Therefore, the answer is yes.