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_3, x_3 will not read a book. There is at least one x_3 for which x_3 will work if and only if x_3 will drink water. For all x_3, x_3 will read a book if and only if x_3 will work.
For all x_3, if x_3 reads a book, then x_3 is working can be inferred via the universal biconditional elimination rule. There is at least one x_3 for which if x_3 works, then x_3 is drinking water can be inferred via the existential biconditional elimination rule. For all x_3, if x_3 works, then x_3 is reading a book can be inferred via the universal biconditional elimination rule. There is at least one x_3 for which if x_3 drinks water, then x_3 is working can be inferred via the existential biconditional elimination rule. For all x_3, x_3 will not work can be inferred via the universal biconditional elimination rule.