Consider the following premises. For all x_16, x_16 is a scientist if and only if x_16 is a taxi driver. For all x_16, x_16 will cook if and only if x_16 is a taxi driver. There is at least one x_16 for which x_16 is not an electrician. For all x_16, x_16 will cook if and only if x_16 is an electrician. Can we infer the following from them? If we can, name the inference rule being used: For all x_16, x_16 is a scientist.
 From the fact that for all x_16, x_16 will cook if and only if x_16 is an electrician, and that there is at least one x_16 for which x_16 is not an electrician we can infer that there is at least one x_16 for which x_16 will not cook via existential biconditional elimination. From the fact that for all x_16, x_16 will cook if and only if x_16 is a taxi driver, and that there is at least one x_16 for which x_16 will not cook we can infer that there is at least one x_16 for which x_16 is not a taxi driver via existential biconditional elimination. Finally, from the fact that for all x_16, x_16 is a scientist if and only if x_16 is a taxi driver, and that there is at least one x_16 for which x_16 is not a taxi driver we can infer that there is at least one x_16 for which x_16 is not a scientist via existential biconditional elimination, which contradicts that For all x_16, x_16 is a scientist. Therefore, the answer is no.