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_7, x_7 is happy if and only if x_7 will play a game. For all x_7, if x_7 were happy, then x_7 is playing a game. Karen is not playing a game.
For all x_7, if x_7 were happy, then x_7 is playing a game can be inferred via the universal biconditional elimination rule. For all x_7, if x_7 plays a game, then x_7 is happy can be inferred via the universal biconditional elimination rule.