Consider the following premises. For all z_3, z_3 will read a book or z_3 is a carpenter. For all z_3, z_3 is not a poet. For all z_3, z_3 is a poet if and only if z_3 will read a book. Can we infer the following from them? Patricia is a carpenter.
 From the fact that for all z_3, z_3 is a poet if and only if z_3 will read a book, and that for all z_3, z_3 is not a poet we can infer that for all z_3, z_3 will not read a book. From the fact that for all z_3, z_3 will read a book or z_3 is a carpenter, and that for all z_3, z_3 will not read a book we can infer that for all z_3, z_3 is a carpenter. Finally, from the fact that for all z_3, z_3 is a carpenter we can infer that Patricia is a carpenter. Therefore, the answer is yes.