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: Sarah is a poet if and only if Elisabeth is playing a game. Elisabeth is playing a game if and only if Sarah is a poet.
If Sarah were a poet, then Elisabeth is playing a game can be inferred via the biconditional elimination rule. If Elisabeth plays a game, then Sarah is a poet can be inferred via the biconditional elimination rule. If Elisabeth plays a game, then Sarah is a poet can be inferred via the biconditional elimination rule. If Sarah were a poet, then Elisabeth is playing a game can be inferred via the biconditional elimination rule.