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: It is raining if and only if Jessica is rich. If Jessica were rich, then Jessica is happy. If Jessica were happy, then it is raining.
If Jessica were rich, then it is raining can be inferred via the transitivity rule. If it rains, then Jessica is rich can be inferred via the biconditional elimination rule. If Jessica were rich, then it is raining can be inferred via the biconditional elimination rule.