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_8, x_8 is bored or x_8 is not happy. For all x_8, x_8 is bored if and only if x_8 is a politician. There is at least one x_8 for which x_8 is a politician or x_8 is happy.
For all x_8, if x_8 were happy, then x_8 is bored can be inferred via the universal rewriting rule. For all x_8, if x_8 were bored, then x_8 is a politician can be inferred via the universal biconditional elimination rule. For all x_8, if x_8 were a politician, then x_8 is bored can be inferred via the universal biconditional elimination rule.