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 excited if and only if x_11 is a scientist. For all x_11, x_11 is a scientist or x_11 is not excited.
For all x_11, if x_11 were excited, then x_11 is a scientist can be inferred via the universal rewriting rule. For all x_11, if x_11 were excited, then x_11 is a scientist can be inferred via the universal biconditional elimination rule. For all x_11, if x_11 were a scientist, then x_11 is excited can be inferred via the universal biconditional elimination rule.