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, if x_8 were poor, then x_8 is playing a game. It is cold or Robert is playing a game. If it is cold, then Robert is poor. For all x_8, if x_8 plays a game, then x_8 is poor.
If Robert were a police officer, then it is cold can be inferred via the rewriting rule. For all x_8, x_8 is poor if and only if x_8 will play a game can be inferred via the universal biconditional introduction rule. For all x_8, x_8 will play a game if and only if x_8 is poor can be inferred via the universal biconditional introduction rule.