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 x, x is not a politician. There is at least one x for which x is a politician if and only if x will go running.
There is at least one x for which if x were a politician, then x is running can be inferred via the existential biconditional elimination rule. There is at least one x for which if x goes running, then x is a politician can be inferred via the existential biconditional elimination rule. There is at least one x for which x will not go running can be inferred via the existential biconditional elimination rule.