Consider the following premises. If it is cold, then Patricia is not playing tennis. If it is not sunny, then Patricia is playing tennis. Jennifer is an astronaut if and only if it is sunny. Jennifer is an astronaut if and only if Patricia is making tea. Patricia is not making tea. Can we infer the following from them? If we can, name the inference rule being used: Joseph is listening to a song.
We cannot infer that from the premises. Therefore the answer is no.