Consider the following premises. For all x_5, if x_5 were a bartender, then x_5 is a mechanic. For all x_5, if x_5 were a lawyer, then x_5 is a mechanic. For all x_5, if x_5 plays tennis, then x_5 is a lawyer. For all x_5, x_5 will play tennis or x_5 is a bartender. For all x_5, if x_5 were a mechanic, then x_5 is an office clerk. Can we infer the following from them? For all x_5, x_5 is an office clerk.
 From the fact that for all x_5, if x_5 plays tennis, then x_5 is a lawyer, and that for all x_5, if x_5 were a lawyer, then x_5 is a mechanic we can infer that for all x_5, if x_5 plays tennis, then x_5 is a mechanic. From the fact that for all x_5, if x_5 plays tennis, then x_5 is a mechanic, that for all x_5, if x_5 were a bartender, then x_5 is a mechanic, and that for all x_5, x_5 will play tennis or x_5 is a bartender we can infer that for all x_5, x_5 is a mechanic. Finally, from the fact that for all x_5, if x_5 were a mechanic, then x_5 is an office clerk, and that for all x_5, x_5 is a mechanic we can infer that for all x_5, x_5 is an office clerk. Therefore, the answer is yes.