Consider the following premises. For all x_1, x_1 will read a book if and only if x_1 will play squash. For all x_1, if x_1 were a carpenter, then x_1 is reading a book. There is at least one x_1 for which if x_1 plays squash, then x_1 is a writer. Can we infer the following from them? For all x_1, the fact that x_1 were a carpenter does not imply that x_1 is a writer.
That contradicts the premises. Therefore the answer is no.