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 go running if and only if x_10 will play a game. For all x_10, x_10 will go running if and only if x_10 will play a game. Karen is not running.
For all x_10, if x_10 goes running, then x_10 is playing a game can be inferred via the universal biconditional elimination rule. For all x_10, if x_10 goes running, then x_10 is playing a game can be inferred via the universal biconditional elimination rule. For all x_10, if x_10 plays a game, then x_10 is running can be inferred via the universal biconditional elimination rule. For all x_10, if x_10 plays a game, then x_10 is running can be inferred via the universal biconditional elimination rule.