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 not a scientist. It is snowing if and only if Karen is a scientist. Mary is a bartender if and only if Sarah is playing a game. It is snowing if and only if Mary is a bartender.
If it snows, then Karen is a scientist can be inferred via the biconditional elimination rule. If Mary were a bartender, then Sarah is playing a game can be inferred via the biconditional elimination rule. If it snows, then Mary is a bartender can be inferred via the biconditional elimination rule. If Karen were a scientist, then it is snowing can be inferred via the biconditional elimination rule. If Sarah plays a game, then Mary is a bartender can be inferred via the biconditional elimination rule. If Mary were a bartender, then it is snowing can be inferred via the biconditional elimination rule. It is not snowing can be inferred via the biconditional elimination rule.