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: Karen is happy. If it is cloudy, then Karen is happy. Karen is happy if and only if James is a janitor. If James were a janitor, then it is cloudy.
If James were a janitor, then Karen is happy can be inferred via the transitivity rule. If Karen were happy, then James is a janitor can be inferred via the biconditional elimination rule. If James were a janitor, then Karen is happy can be inferred via the biconditional elimination rule.