Consider the following premises. Patricia is an artist if and only if it is raining. Patricia is not an artist. If it is windy, then it is raining. If it rains, then it is windy. Can we infer the following from them? If we can, name the inference rule being used: It is not windy or Joseph is a writer.
 From the fact that if it is windy, then it is raining, and that if it rains, then it is windy we can infer that it is windy if and only if it is raining via biconditional introduction. From the fact that Patricia is an artist if and only if it is raining, and that Patricia is not an artist we can infer that it is not raining via biconditional elimination. From the fact that it is windy if and only if it is raining, and that it is not raining we can infer that it is not windy via biconditional elimination. Finally, from the fact that it is not windy we can infer that it is not windy or Joseph is a writer via addition. Therefore, the answer is yes.