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_2, if z_2 were a police officer, then z_2 is running. For all z_2, z_2 is not a police officer. For all z_2, if z_2 goes running, then z_2 is a police officer. For all z_2, if z_2 goes running, then z_2 is a police officer.
For all z_2, z_2 will not go running can be inferred via the universal modus tollens rule. For all z_2, z_2 will not go running can be inferred via the universal modus tollens rule. For all z_2, z_2 is a police officer if and only if z_2 will go running can be inferred via the universal biconditional introduction rule. For all z_2, z_2 is a police officer if and only if z_2 will go running can be inferred via the universal biconditional introduction rule. For all z_2, z_2 will go running if and only if z_2 is a police officer can be inferred via the universal biconditional introduction rule. For all z_2, z_2 will go running if and only if z_2 is a police officer can be inferred via the universal biconditional introduction rule.