Consider the following premises. For all x_7, if x_7 were a politician, then x_7 is an artist. If Jessica were an artist, then Jessica is a politician. Jessica is not an artist. Can we infer the following from them? If we can, name the inference rule being used: Jessica is a politician.
 From the fact that for all x_7, if x_7 were a politician, then x_7 is an artist we can infer that if Jessica were a politician, then Jessica is an artist via universal instantiation. From the fact that if Jessica were a politician, then Jessica is an artist, and that if Jessica were an artist, then Jessica is a politician we can infer that Jessica is a politician if and only if Jessica is an artist via biconditional introduction. Finally, from the fact that Jessica is a politician if and only if Jessica is an artist, and that Jessica is not an artist we can infer that Jessica is not a politician via biconditional elimination, which contradicts that Jessica is a politician. Therefore, the answer is no.