Consider the following premises. For all x_22, x_22 will cook or x_22 is a musician. It is windy if and only if it is raining. It is not windy. For all x_22, x_22 will not cook. Can we infer the following from them? If we can, name the inference rule being used: Mary is a musician.
 From the fact that for all x_22, x_22 will cook or x_22 is a musician, and that for all x_22, x_22 will not cook we can infer that for all x_22, x_22 is a musician via universal disjunctive syllogism. From the fact that it is windy if and only if it is raining, and that it is not windy we can infer that it is not raining via biconditional elimination. Finally, from the fact that for all x_22, x_22 is a musician we can infer that Mary is a musician via universal instantiation. Therefore, the answer is yes.