Consider the following premises. If Jessica were a bartender, then Patricia is reading a book. Jessica is a bartender if and only if Barbara is an electrician. Barbara is not an electrician. If Patricia reads a book, then Jessica is a bartender. Can we infer the following from them? If we can, name the inference rule being used: Patricia is reading a book.
 From the fact that Jessica is a bartender if and only if Barbara is an electrician, and that Barbara is not an electrician we can infer that Jessica is not a bartender via biconditional elimination. From the fact that if Jessica were a bartender, then Patricia is reading a book, and that if Patricia reads a book, then Jessica is a bartender we can infer that Jessica is a bartender if and only if Patricia is reading a book via biconditional introduction. Finally, from the fact that Jessica is a bartender if and only if Patricia is reading a book, and that Jessica is not a bartender we can infer that Patricia is not reading a book via biconditional elimination, which contradicts that Patricia is reading a book. Therefore, the answer is no.