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_7, x_7 will not work. For all x_7, x_7 will work if and only if x_7 is rich. For all x_7, if x_7 were a politician, then x_7 is rich. For all x_7, x_7 will make tea if and only if x_7 is a politician.
For all x_7, if x_7 works, then x_7 is rich can be inferred via the universal biconditional elimination rule. For all x_7, if x_7 makes tea, then x_7 is a politician can be inferred via the universal biconditional elimination rule. For all x_7, if x_7 were rich, then x_7 is working can be inferred via the universal biconditional elimination rule. For all x_7, if x_7 were a politician, then x_7 is making tea can be inferred via the universal biconditional elimination rule. For all x_7, x_7 is not rich can be inferred via the universal biconditional elimination rule.