Consider the following premises. For all x_13, x_13 is a writer if and only if x_13 is bored. For all x_13, if x_13 were excited, then x_13 is a writer. For all x_13, x_13 is bored or x_13 is excited. For all x_13, if x_13 were a writer, then x_13 is excited. Can we infer the following from them? Patricia is a writer.
 From the fact that for all x_13, if x_13 were excited, then x_13 is a writer, and that for all x_13, if x_13 were a writer, then x_13 is excited we can infer that for all x_13, x_13 is excited if and only if x_13 is a writer. From the fact that for all x_13, x_13 is excited if and only if x_13 is a writer we can infer that for all x_13, if x_13 were excited, then x_13 is a writer. From the fact that for all x_13, x_13 is a writer if and only if x_13 is bored we can infer that for all x_13, if x_13 were bored, then x_13 is a writer. From the fact that for all x_13, if x_13 were bored, then x_13 is a writer, that for all x_13, if x_13 were excited, then x_13 is a writer, and that for all x_13, x_13 is bored or x_13 is excited we can infer that for all x_13, x_13 is a writer. Finally, from the fact that for all x_13, x_13 is a writer we can infer that Patricia is a writer. Therefore, the answer is yes.