What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? Name the inference rule being used: For all x_2, x_2 is a poet if and only if x_2 will read a book. For all x_2, if x_2 reads a book, then x_2 is taking a plane.
For all x_2, if x_2 were a poet, then x_2 is reading a book can be inferred via the universal biconditional elimination rule. For all x_2, if x_2 reads a book, then x_2 is a poet can be inferred via the universal biconditional elimination rule.