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 Linda plays a game, then Elisabeth is a janitor. It is raining if and only if Linda is playing a game. For all x_10, x_10 is not a janitor.
If it rains, then Linda is playing a game can be inferred via the biconditional elimination rule. If Linda plays a game, then it is raining can be inferred via the biconditional elimination rule.