Consider the following premises. There is at least one y for which y is curious. For all y, y is not curious. For all y, y will read a book if and only if y is a writer. Can we infer the following from them? If we can, name the inference rule being used: There is at least one y for which y will read a book.
 From the fact that for all y, y will read a book if and only if y is a writer we can infer that for all y, if y were a writer, then y is reading a book via universal biconditional elimination. From the fact that there is at least one y for which y is curious we can infer that there is at least one y for which y is curious or y is a writer via existential addition. From the fact that there is at least one y for which y is curious or y is a writer, and that for all y, y is not curious we can infer that there is at least one y for which y is a writer via existential disjunctive syllogism. Finally, from the fact that for all y, if y were a writer, then y is reading a book, and that there is at least one y for which y is a writer we can infer that there is at least one y for which y will read a book via existential modus ponens. Therefore, the answer is yes.