Consider the following premises. Jennifer is not a server. Jennifer is a server if and only if Michael is rich. For all x_12, x_12 will play squash if and only if x_12 is a politician. Michael is rich or Karen is not playing squash. Can we infer the following from them? If we can, name the inference rule being used: Karen is a politician.
 From the fact that Jennifer is a server if and only if Michael is rich, and that Jennifer is not a server we can infer that Michael is not rich via biconditional elimination. From the fact that for all x_12, x_12 will play squash if and only if x_12 is a politician we can infer that Karen is playing squash if and only if Karen is a politician via universal instantiation. From the fact that Michael is rich or Karen is not playing squash we can infer that if Karen plays squash, then Michael is rich via rewriting. From the fact that if Karen plays squash, then Michael is rich, and that Michael is not rich we can infer that Karen is not playing squash via modus tollens. Finally, from the fact that Karen is playing squash if and only if Karen is a politician, and that Karen is not playing squash we can infer that Karen is not a politician via biconditional elimination, which contradicts that Karen is a politician. Therefore, the answer is no.