Consider the following premises. If William works, then David is playing tennis. If Elisabeth were an electrician, then David is not playing tennis. It is cloudy or Patricia is happy. For all x_32, if x_32 goes running, then x_32 is playing tennis. It is not cloudy. David is running or William is working. Can we infer the following from them? If we can, name the inference rule being used: If Patricia were happy, then Elisabeth is not an electrician.
We cannot infer that from the premises. Therefore the answer is no.