Consider the following premises. Joseph is a scientist if and only if it is windy. If Michael were happy, then Joseph is a scientist. If it is windy, then Michael is happy. Can we infer the following from them? If is not true that it is windy if and only if Joseph is a scientist.
 From the fact that if it is windy, then Michael is happy, and that if Michael were happy, then Joseph is a scientist we can infer that if it is windy, then Joseph is a scientist. From the fact that Joseph is a scientist if and only if it is windy we can infer that if Joseph were a scientist, then it is windy. Finally, from the fact that if it is windy, then Joseph is a scientist, and that if Joseph were a scientist, then it is windy we can infer that it is windy if and only if Joseph is a scientist, which contradicts that If is not true that it is windy if and only if Joseph is a scientist. Therefore, the answer is no.