Consider the following premises. For all x_9, x_9 will drink water if and only if x_9 is a lawyer. For all x_9, if x_9 makes tea, then x_9 is running. For all x_9, if x_9 cooks, then x_9 is drinking water. For all x_9, x_9 will make tea. For all x_9, x_9 is a lawyer or x_9 will cook. Can we infer the following from them? If we can, name the inference rule being used: For all x_9, x_9 will go running and x_9 will drink water.
 From the fact that for all x_9, if x_9 makes tea, then x_9 is running, and that for all x_9, x_9 will make tea we can infer that for all x_9, x_9 will go running via universal modus ponens. From the fact that for all x_9, x_9 will drink water if and only if x_9 is a lawyer we can infer that for all x_9, if x_9 were a lawyer, then x_9 is drinking water via universal biconditional elimination. From the fact that for all x_9, if x_9 were a lawyer, then x_9 is drinking water, that for all x_9, if x_9 cooks, then x_9 is drinking water, and that for all x_9, x_9 is a lawyer or x_9 will cook we can infer that for all x_9, x_9 will drink water via universal disjunction elimination. Finally, from the fact that for all x_9, x_9 will go running, and that for all x_9, x_9 will drink water we can infer that for all x_9, x_9 will go running and x_9 will drink water via universal conjunction. Therefore, the answer is yes.