Consider the following premises. For all x_3, if x_3 were happy, then x_3 is a soldier. For all x_3, x_3 will make tea. For all x_3, if x_3 were curious, then x_3 is happy. For all x_3, if x_3 makes tea, then x_3 is a soldier. Can we infer the following from them? If we can, name the inference rule being used: For all x_3, x_3 is a soldier.
 From the fact that for all x_3, if x_3 were curious, then x_3 is happy, and that for all x_3, if x_3 were happy, then x_3 is a soldier we can infer that for all x_3, if x_3 were curious, then x_3 is a soldier via universal transitivity. From the fact that for all x_3, x_3 will make tea we can infer that for all x_3, x_3 will make tea or x_3 is curious via universal addition. Finally, from the fact that for all x_3, if x_3 makes tea, then x_3 is a soldier, that for all x_3, if x_3 were curious, then x_3 is a soldier, and that for all x_3, x_3 will make tea or x_3 is curious we can infer that for all x_3, x_3 is a soldier via universal disjunction elimination. Therefore, the answer is yes.