Consider the following premises. It is windy if and only if Richard is a soldier. It is not windy. If it rains, then Joseph is an office clerk. If Mary were an electrician, then Joseph is an office clerk. Mary is an electrician or it is raining. Can we infer the following from them? If we can, name the inference rule being used: Joseph is an office clerk and Richard is not a soldier.
 From the fact that if Mary were an electrician, then Joseph is an office clerk, that if it rains, then Joseph is an office clerk, and that Mary is an electrician or it is raining we can infer that Joseph is an office clerk via disjunction elimination. From the fact that it is windy if and only if Richard is a soldier, and that it is not windy we can infer that Richard is not a soldier via biconditional elimination. Finally, from the fact that Joseph is an office clerk, and that Richard is not a soldier we can infer that Joseph is an office clerk and Richard is not a soldier via conjunction. Therefore, the answer is yes.