Consider the following premises. If it is cloudy, then Elisabeth is not writing a letter. Elisabeth is writing a letter. If it is not cloudy, then Patricia is an astronaut. Thomas is an electrician. Can we infer the following from them? If we can, name the inference rule being used: Thomas is an electrician and Patricia is an astronaut.
 From the fact that if it is cloudy, then Elisabeth is not writing a letter, and that Elisabeth is writing a letter we can infer that it is not cloudy via modus tollens. From the fact that if it is not cloudy, then Patricia is an astronaut, and that it is not cloudy we can infer that Patricia is an astronaut via modus ponens. Finally, from the fact that Thomas is an electrician, and that Patricia is an astronaut we can infer that Thomas is an electrician and Patricia is an astronaut via conjunction. Therefore, the answer is yes.