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 happy or x is not an electrician. For all x, if x were a politician, then x is an electrician. For all x, x is happy if and only if x is a politician.
For all x, if x were an electrician, then x is happy can be inferred via the universal rewriting rule. For all x, if x were happy, then x is a politician can be inferred via the universal biconditional elimination rule. For all x, if x were a politician, then x is happy can be inferred via the universal biconditional elimination rule.