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 windy, then Thomas is sleeping. Karen is happy if and only if Thomas is sleeping. John is taking a plane. It is windy or Karen is happy.
If Karen were happy, then Thomas is sleeping can be inferred via the biconditional elimination rule. If Thomas sleeps, then Karen is happy can be inferred via the biconditional elimination rule.