Consider the following premises. For all x_11, x_11 will make tea and x_11 will climb a mountain. For all x_11, x_11 will go running or x_11 will not make tea. For all x_11, if x_11 goes running, then x_11 is an office clerk. Can we infer the following from them? If we can, name the inference rule being used: For all x_11, x_11 is an office clerk.
 From the fact that for all x_11, x_11 will make tea and x_11 will climb a mountain we can infer that for all x_11, x_11 will make tea via universal simplification. From the fact that for all x_11, x_11 will go running or x_11 will not make tea we can infer that for all x_11, if x_11 makes tea, then x_11 is running via universal rewriting. From the fact that for all x_11, if x_11 makes tea, then x_11 is running, and that for all x_11, x_11 will make tea we can infer that for all x_11, x_11 will go running via universal modus ponens. Finally, from the fact that for all x_11, if x_11 goes running, then x_11 is an office clerk, and that for all x_11, x_11 will go running we can infer that for all x_11, x_11 is an office clerk via universal modus ponens. Therefore, the answer is yes.