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 Jennifer were an artist, then Thomas is playing a game. If Thomas plays a game, then Thomas is a poet. Thomas is a poet if and only if Jennifer is an artist.
If Jennifer were an artist, then Thomas is a poet can be inferred via the transitivity rule. If Thomas were a poet, then Jennifer is an artist can be inferred via the biconditional elimination rule. If Jennifer were an artist, then Thomas is a poet can be inferred via the biconditional elimination rule.