Consider the following premises. If it rains, then John is a police officer. If Mary were a politician, then John is a police officer. John is a police officer if and only if Patricia is an astronaut. Patricia is not an astronaut. Mary is a politician or it is raining. Can we infer the following from them? If we can, name the inference rule being used: It is not cold.
We cannot infer that from the premises. Therefore the answer is no.