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_11, x_11 is a politician if and only if x_11 is bored. There is at least one x_11 for which if x_11 were a bartender, then x_11 is a politician. For all x_11, if x_11 were an office clerk, then x_11 is a lawyer. For all x_11, if x_11 were bored, then x_11 is an office clerk.
For all x_11, if x_11 were bored, then x_11 is a lawyer can be inferred via the universal transitivity rule. For all x_11, if x_11 were a politician, then x_11 is bored can be inferred via the universal biconditional elimination rule. For all x_11, if x_11 were bored, then x_11 is a politician can be inferred via the universal biconditional elimination rule.