Consider the following premises. If Mary makes tea, then it is windy. For all x_11, x_11 will make tea if and only if x_11 will listen to a song. For all x_11, x_11 will not listen to a song. If it is windy, then Mary is making tea. Can we infer the following from them? If we can, name the inference rule being used: It is not windy.
 From the fact that for all x_11, x_11 will make tea if and only if x_11 will listen to a song, and that for all x_11, x_11 will not listen to a song we can infer that for all x_11, x_11 will not make tea via universal biconditional elimination. From the fact that for all x_11, x_11 will not make tea we can infer that Mary is not making tea via universal instantiation. From the fact that if Mary makes tea, then it is windy, and that if it is windy, then Mary is making tea we can infer that Mary is making tea if and only if it is windy via biconditional introduction. Finally, from the fact that Mary is making tea if and only if it is windy, and that Mary is not making tea we can infer that it is not windy via biconditional elimination. Therefore, the answer is yes.