Consider the following premises. For all x_4, if x_4 were a carpenter, then x_4 is drinking water. For all x_4, if x_4 drinks water, then x_4 is reading a book. For all x_4, if x_4 reads a book, then x_4 is a carpenter. Can we infer the following from them? If Joseph drinks water, then Joseph is a carpenter.
 From the fact that for all x_4, if x_4 drinks water, then x_4 is reading a book, and that for all x_4, if x_4 reads a book, then x_4 is a carpenter we can infer that for all x_4, if x_4 drinks water, then x_4 is a carpenter. From the fact that for all x_4, if x_4 were a carpenter, then x_4 is drinking water, and that for all x_4, if x_4 drinks water, then x_4 is a carpenter we can infer that for all x_4, x_4 is a carpenter if and only if x_4 will drink water. From the fact that for all x_4, x_4 is a carpenter if and only if x_4 will drink water we can infer that Joseph is a carpenter if and only if Joseph is drinking water. Finally, from the fact that Joseph is a carpenter if and only if Joseph is drinking water we can infer that if Joseph drinks water, then Joseph is a carpenter. Therefore, the answer is yes.