Consider the following premises. If it is cold, then Jennifer is making tea. For all x_14, if x_14 makes tea, then x_14 is curious. For all x_14, if x_14 were curious, then x_14 is making tea. For all x_14, x_14 is not a bartender. For all x_14, x_14 is curious if and only if x_14 is a bartender. Can we infer the following from them? If we can, name the inference rule being used: It is not cold.
 From the fact that for all x_14, x_14 is curious if and only if x_14 is a bartender, and that for all x_14, x_14 is not a bartender we can infer that for all x_14, x_14 is not curious via universal biconditional elimination. From the fact that for all x_14, if x_14 makes tea, then x_14 is curious, and that for all x_14, if x_14 were curious, then x_14 is making tea we can infer that for all x_14, x_14 will make tea if and only if x_14 is curious via universal biconditional introduction. From the fact that for all x_14, x_14 will make tea if and only if x_14 is curious, and that for all x_14, x_14 is not curious we can infer that for all x_14, x_14 will not make tea via universal biconditional elimination. From the fact that for all x_14, x_14 will not make tea we can infer that Jennifer is not making tea via universal instantiation. Finally, from the fact that if it is cold, then Jennifer is making tea, and that Jennifer is not making tea we can infer that it is not cold via modus tollens. Therefore, the answer is yes.