Consider the following premises. Sarah is making tea if and only if John is playing a game. Sarah is making tea if and only if John is playing a game. Can we infer the following from them? The fact that Sarah makes tea does not imply that John is playing a game.
 From the fact that Sarah is making tea if and only if John is playing a game we can infer that if John plays a game, then Sarah is making tea. Finally, from the fact that Sarah is making tea if and only if John is playing a game we can infer that if Sarah makes tea, then John is playing a game, which contradicts that The fact that Sarah makes tea does not imply that John is playing a game. Therefore, the answer is no.