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: For all x_10, if x_10 were a nurse, then x_10 is a politician. It is raining. If it is sunny, then it is not raining. Linda is a politician if and only if it is sunny.
It is not sunny can be inferred via the modus tollens rule. If Linda were a politician, then it is sunny can be inferred via the biconditional elimination rule. If it is sunny, then Linda is a politician can be inferred via the biconditional elimination rule.