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 cloudy, then Elisabeth is a poet. If it is cloudy, then Elisabeth is a poet. If Elisabeth were a poet, then it is cloudy.
It is cloudy if and only if Elisabeth is a poet can be inferred via the biconditional introduction rule. It is cloudy if and only if Elisabeth is a poet can be inferred via the biconditional introduction rule. Elisabeth is a poet if and only if it is cloudy can be inferred via the biconditional introduction rule. Elisabeth is a poet if and only if it is cloudy can be inferred via the biconditional introduction rule.