Consider the following premises. There is at least one x_10 for which if x_10 were rich, then x_10 is playing squash. For all x_10, if x_10 plays squash, then x_10 is an office clerk. For all x_10, if x_10 were an office clerk, then x_10 is poor. For all x_10, x_10 will write a letter or x_10 is not poor. Can we infer the following from them? If we can, name the inference rule being used: For all x_10, the fact that x_10 were rich does not imply that x_10 is writing a letter.
That contradicts the premises. Therefore the answer is no.