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: If Patricia were excited, then Patricia is working. For all y, y is excited if and only if y will work.
For all y, if y were excited, then y is working can be inferred via the universal biconditional elimination rule. For all y, if y works, then y is excited can be inferred via the universal biconditional elimination rule.