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: William is making tea. It is cold if and only if Karen is a doctor. If William makes tea, then it is windy. If it is windy, then Karen is a doctor.
It is windy can be inferred via the modus ponens rule. If William makes tea, then Karen is a doctor can be inferred via the transitivity rule. If it is cold, then Karen is a doctor can be inferred via the biconditional elimination rule. If Karen were a doctor, then it is cold can be inferred via the biconditional elimination rule.