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 William cooks, then Linda is sleeping. If William cooks, then it is cold. If it is cold, then William is cooking. Linda is not sleeping.
William is not cooking can be inferred via the modus tollens rule. If it is cold, then Linda is sleeping can be inferred via the transitivity rule. William is cooking if and only if it is cold can be inferred via the biconditional introduction rule. It is cold if and only if William is cooking can be inferred via the biconditional introduction rule.