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 sleeps, then y is working. For all y, if y works, then y is sleeping. For all y, y will sleep or y is a musician. For all y, y will work or y is not a musician.
For all y, if y were a musician, then y is working can be inferred via the universal rewriting rule. For all y, y will sleep if and only if y will work can be inferred via the universal biconditional introduction rule. For all y, y will work if and only if y will sleep can be inferred via the universal biconditional introduction rule.