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 Richard were a poet, then Jennifer is sleeping. Richard is a poet if and only if David is excited. If Jennifer sleeps, then David is excited.
If Richard were a poet, then David is excited can be inferred via the transitivity rule. If Richard were a poet, then David is excited can be inferred via the biconditional elimination rule. If David were excited, then Richard is a poet can be inferred via the biconditional elimination rule.