Consider the following premises. If Karen were an electrician, then Barbara is drinking water. If Barbara drinks water, then Linda is making tea. If Barbara drinks water, then Karen is an electrician. For all x, if x makes tea, then x is a musician. Linda is not a musician. Can we infer the following from them? If we can, name the inference rule being used: Karen is not an electrician.
 From the fact that for all x, if x makes tea, then x is a musician we can infer that if Linda makes tea, then Linda is a musician via universal instantiation. From the fact that if Barbara drinks water, then Linda is making tea, and that if Linda makes tea, then Linda is a musician we can infer that if Barbara drinks water, then Linda is a musician via transitivity. From the fact that if Barbara drinks water, then Linda is a musician, and that Linda is not a musician we can infer that Barbara is not drinking water via modus tollens. From the fact that if Barbara drinks water, then Karen is an electrician, and that if Karen were an electrician, then Barbara is drinking water we can infer that Barbara is drinking water if and only if Karen is an electrician via biconditional introduction. Finally, from the fact that Barbara is drinking water if and only if Karen is an electrician, and that Barbara is not drinking water we can infer that Karen is not an electrician via biconditional elimination. Therefore, the answer is yes.