Consider the following premises. For all z, if z were an artist, then z is playing a game. For all z, z will write a letter or z will play a game. For all z, if z plays a game, then z is an artist. For all z, z is an artist if and only if z will write a letter. Can we infer the following from them? Sarah is an artist.
 From the fact that for all z, if z plays a game, then z is an artist, and that for all z, if z were an artist, then z is playing a game we can infer that for all z, z will play a game if and only if z is an artist. From the fact that for all z, z will play a game if and only if z is an artist we can infer that for all z, if z plays a game, then z is an artist. From the fact that for all z, z is an artist if and only if z will write a letter we can infer that for all z, if z writes a letter, then z is an artist. From the fact that for all z, if z writes a letter, then z is an artist, that for all z, if z plays a game, then z is an artist, and that for all z, z will write a letter or z will play a game we can infer that for all z, z is an artist. Finally, from the fact that for all z, z is an artist we can infer that Sarah is an artist. Therefore, the answer is yes.