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, if x_11 were rich, then x_11 is an electrician. For all x_11, x_11 will work. For all x_11, x_11 is rich. For all x_11, x_11 will work if and only if x_11 is a politician.
For all x_11, x_11 is an electrician can be inferred via the universal modus ponens rule. For all x_11, x_11 will work and x_11 is rich can be inferred via the universal conjunction rule. For all x_11, x_11 is rich and x_11 will work can be inferred via the universal conjunction rule. For all x_11, if x_11 works, then x_11 is a politician can be inferred via the universal biconditional elimination rule. For all x_11, if x_11 were a politician, then x_11 is working can be inferred via the universal biconditional elimination rule.