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: If it is cold, then Robert is excited. For all x_12, x_12 is a soldier if and only if x_12 is excited. If Robert were a soldier, then it is cold.
If Robert were a soldier, then Robert is excited can be inferred via the transitivity rule. For all x_12, if x_12 were a soldier, then x_12 is excited can be inferred via the universal biconditional elimination rule. For all x_12, if x_12 were excited, then x_12 is a soldier can be inferred via the universal biconditional elimination rule.