Consider the following premises. For all x_8, if x_8 were an electrician, then x_8 is a musician. For all x_8, x_8 will play tennis if and only if x_8 is a musician. For all x_8, x_8 will make tea or x_8 will play tennis. There is at least one x_8 for which if x_8 makes tea, then x_8 is an electrician. Can we infer the following from them? If we can, name the inference rule being used: For all x_8, x_8 is not a musician.
 From the fact that for all x_8, x_8 will play tennis if and only if x_8 is a musician we can infer that for all x_8, if x_8 plays tennis, then x_8 is a musician via universal biconditional elimination. From the fact that there is at least one x_8 for which if x_8 makes tea, then x_8 is an electrician, and that for all x_8, if x_8 were an electrician, then x_8 is a musician we can infer that there is at least one x_8 for which if x_8 makes tea, then x_8 is a musician via existential transitivity. Finally, from the fact that there is at least one x_8 for which if x_8 makes tea, then x_8 is a musician, that for all x_8, if x_8 plays tennis, then x_8 is a musician, and that for all x_8, x_8 will make tea or x_8 will play tennis we can infer that there is at least one x_8 for which x_8 is a musician via existential disjunction elimination, which contradicts that For all x_8, x_8 is not a musician. Therefore, the answer is no.