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: It is snowing if and only if it is cold. If Joseph were a cashier, then Michael is making tea. If Michael makes tea, then Joseph is a cashier. Joseph is a cashier if and only if it is snowing. It is not cold.
Joseph is a cashier if and only if Michael is making tea can be inferred via the biconditional introduction rule. Michael is making tea if and only if Joseph is a cashier can be inferred via the biconditional introduction rule. If it snows, then it is cold can be inferred via the biconditional elimination rule. If Joseph were a cashier, then it is snowing can be inferred via the biconditional elimination rule. If it is cold, then it is snowing can be inferred via the biconditional elimination rule. If it snows, then Joseph is a cashier can be inferred via the biconditional elimination rule. It is not snowing can be inferred via the biconditional elimination rule.