Consider the following premises. For all x_3, x_3 will take a plane if and only if x_3 will write a letter. There is at least one x_3 for which if x_3 plays tennis, then x_3 is a lawyer. For all x_3, if x_3 were a lawyer, then x_3 is writing a letter. Can we infer the following from them? For all x_3, the fact that x_3 plays tennis does not imply that x_3 is taking a plane.
That contradicts the premises. Therefore the answer is no.