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 not cold. It is raining if and only if Thomas is a scientist. It is raining if and only if it is cloudy. If it is cloudy, then it is cold. If Thomas were a scientist, then it is raining.
It is not cloudy can be inferred via the modus tollens rule. If it rains, then Thomas is a scientist can be inferred via the biconditional elimination rule. If it rains, then it is cloudy can be inferred via the biconditional elimination rule. If Thomas were a scientist, then it is raining can be inferred via the biconditional elimination rule. If it is cloudy, then it is raining can be inferred via the biconditional elimination rule.