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 Sarah were a scientist, then it is cold. Sarah is a scientist if and only if Charles is a cashier. Charles is a cashier if and only if it is cold.
If Sarah were a scientist, then Charles is a cashier can be inferred via the biconditional elimination rule. If Charles were a cashier, then it is cold can be inferred via the biconditional elimination rule. If Charles were a cashier, then Sarah is a scientist can be inferred via the biconditional elimination rule. If it is cold, then Charles is a cashier can be inferred via the biconditional elimination rule.