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 it is cloudy, then Jennifer is a nurse. Jessica is taking a plane if and only if Jennifer is a nurse. If Jessica takes a plane, then it is cloudy.
If Jessica takes a plane, then Jennifer is a nurse can be inferred via the transitivity rule. If Jessica takes a plane, then Jennifer is a nurse can be inferred via the biconditional elimination rule. If Jennifer were a nurse, then Jessica is taking a plane can be inferred via the biconditional elimination rule.