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: Michael is sleeping if and only if Susan is a doctor. It is windy if and only if Susan is a doctor. For all z, z will not sleep.
If Michael sleeps, then Susan is a doctor can be inferred via the biconditional elimination rule. If it is windy, then Susan is a doctor can be inferred via the biconditional elimination rule. If Susan were a doctor, then Michael is sleeping can be inferred via the biconditional elimination rule. If Susan were a doctor, then it is windy can be inferred via the biconditional elimination rule.