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 late if and only if Elisabeth is poor. Sarah is not a politician. Sarah is a politician if and only if it is late.
If it is late, then Elisabeth is poor can be inferred via the biconditional elimination rule. If Sarah were a politician, then it is late can be inferred via the biconditional elimination rule. If Elisabeth were poor, then it is late can be inferred via the biconditional elimination rule. If it is late, then Sarah is a politician can be inferred via the biconditional elimination rule. It is not late can be inferred via the biconditional elimination rule.