Consider the following premises. For all y, if y plays a game, then y is making tea. For all y, if y were a bartender, then y is playing a game. For all y, if y were a bartender, then y is taking a plane. There is at least one y for which y is a bartender if and only if y will make tea. Can we infer the following from them? If we can, name the inference rule being used: For all y, the fact that y makes tea does not imply that y is taking a plane.
That contradicts the premises. Therefore the answer is no.