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 y, if y plays tennis, then y is a lawyer. There is at least one y for which y is a lawyer if and only if y will read a book.
There is at least one y for which if y were a lawyer, then y is reading a book can be inferred via the existential biconditional elimination rule. There is at least one y for which if y reads a book, then y is a lawyer can be inferred via the existential biconditional elimination rule.