Consider the following premises. It is snowing if and only if Jennifer is an electrician. William is an artist if and only if Jennifer is an electrician. If William were an artist, then it is snowing. Can we infer the following from them? If we can, name the inference rule being used: If is not true that Jennifer is an electrician if and only if it is snowing.
 From the fact that it is snowing if and only if Jennifer is an electrician we can infer that if it snows, then Jennifer is an electrician via biconditional elimination. From the fact that William is an artist if and only if Jennifer is an electrician we can infer that if Jennifer were an electrician, then William is an artist via biconditional elimination. From the fact that if Jennifer were an electrician, then William is an artist, and that if William were an artist, then it is snowing we can infer that if Jennifer were an electrician, then it is snowing via transitivity. Finally, from the fact that if Jennifer were an electrician, then it is snowing, and that if it snows, then Jennifer is an electrician we can infer that Jennifer is an electrician if and only if it is snowing via biconditional introduction, which contradicts that If is not true that Jennifer is an electrician if and only if it is snowing. Therefore, the answer is no.