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_1, x_1 will play a game if and only if x_1 is curious. For all x_1, if x_1 plays a game, then x_1 is curious.
For all x_1, if x_1 plays a game, then x_1 is curious can be inferred via the universal biconditional elimination rule. For all x_1, if x_1 were curious, then x_1 is playing a game can be inferred via the universal biconditional elimination rule.