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: For all z, z will not go running. For all z, z is rich if and only if z will go running.
For all z, if z were rich, then z is running can be inferred via the universal biconditional elimination rule. For all z, if z goes running, then z is rich can be inferred via the universal biconditional elimination rule. For all z, z is not rich can be inferred via the universal biconditional elimination rule.