Consider the following premises. For all x_10, x_10 will take a plane. For all x_10, if x_10 were a soldier, then x_10 is happy. For all x_10, x_10 will take a plane if and only if x_10 is happy. Can we infer the following from them? If we can, name the inference rule being used: Thomas is playing a game.
We cannot infer that from the premises. Therefore the answer is no.