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 it is windy, then it is cloudy. If it is cloudy, then Susan is a politician. If Susan were a politician, then it is cloudy. If Susan were a politician, then it is windy.
If it is windy, then Susan is a politician can be inferred via the transitivity rule. If it is cloudy, then it is windy can be inferred via the transitivity rule. If Susan were a politician, then it is cloudy can be inferred via the transitivity rule. It is cloudy if and only if Susan is a politician can be inferred via the biconditional introduction rule. Susan is a politician if and only if it is cloudy can be inferred via the biconditional introduction rule.