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: There is at least one x_5 for which if x_5 were a bartender, then x_5 is poor. For all x_5, if x_5 were an electrician, then x_5 is a cashier. For all x_5, if x_5 were poor, then x_5 is a cashier. For all x_5, x_5 is a bartender or x_5 is a politician. For all x_5, if x_5 were a politician, then x_5 is an electrician.
For all x_5, if x_5 were a politician, then x_5 is a cashier can be inferred via the universal transitivity rule. There is at least one x_5 for which if x_5 were a bartender, then x_5 is a cashier can be inferred via the existential transitivity rule.