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, y is a poet if and only if y is excited. For all y, y is not a poet. There is at least one y for which y will sleep if and only if y is excited.
For all y, if y were a poet, then y is excited can be inferred via the universal biconditional elimination rule. There is at least one y for which if y sleeps, then y is excited can be inferred via the existential biconditional elimination rule. For all y, if y were excited, then y is a poet can be inferred via the universal biconditional elimination rule. There is at least one y for which if y were excited, then y is sleeping can be inferred via the existential biconditional elimination rule. For all y, y is not excited can be inferred via the universal biconditional elimination rule.