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_10, x_10 will play a game or x_10 is fast. For all x_10, if x_10 were fast, then x_10 is rich. For all x_10, if x_10 plays a game, then x_10 is rich. For all x_10, if x_10 were rich, then x_10 is playing a game.
For all x_10, if x_10 were fast, then x_10 is playing a game can be inferred via the universal transitivity rule. For all x_10, x_10 is rich can be inferred via the universal disjunction elimination rule. For all x_10, x_10 will play a game if and only if x_10 is rich can be inferred via the universal biconditional introduction rule. For all x_10, x_10 is rich if and only if x_10 will play a game can be inferred via the universal biconditional introduction rule.