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 Thomas were not a poet, then it is cold. Thomas is a poet if and only if it is snowing. It is not snowing.
If Thomas were a poet, then it is snowing can be inferred via the biconditional elimination rule. If it snows, then Thomas is a poet can be inferred via the biconditional elimination rule. Thomas is not a poet can be inferred via the biconditional elimination rule.